diff --git "a/data/dm_maths/full_data/11104_11255.jsonl" "b/data/dm_maths/full_data/11104_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/11104_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 2*i = 2*s + 30, i - 6 = -3*s + s. Let j = i + -17. Let k(h) = -56*h + 7. Is k(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*x - 10. Let f = 1 - x. Let k be (2 - (5 + 0)) + f. Is k != -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28573\/5232 + 74\/327. What is the common denominator of -2 + (-69)\/4*-2 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 3*s = 0. Suppose -2*y = 3*y - 5*j + 5, -y - j - 3 = s. Let i(q) be the first derivative of -q**4\/2 - 4*q**3\/3 - q**2 + 2*q - 4. Determine i(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000013301334 rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 215, 139, 65, -7, -77, -145?\n\"Answer: a**2 - 79*a + 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*s + 11*s - 2 + 2 to the form p + i*s and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 + 35. Suppose o = 4*l - 235 + 23. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 27*a - 10. Suppose -4*v + n + 3*n - 32 = 0, n + 34 = -5*v. Let k(f) = -27*f + 10. Let r(c) = v*m(c) - 6*k(c). Differentiate r(g) wrt g.\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -172 - -1546\/9. Which is the closest to -1? (a) k (b) 2\/7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9532303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/131031 and 41\/30429.\nAnswer: 6420519","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/((-28)\/8 - -2). Let f(v) = -v**3 - 7*v**2 - 7*v - 9. Let r be f(u). Let b(l) = l**2 - 3*l - 4. Calculate the remainder when 53 is divided by b(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of l**5\/60 - l**4\/12 - 3*l**3\/2 - 3*l**2. Does 10 divide u(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -31, -7, -6, 125, -2.\nAnswer: -31, -7, -6, -2, 3, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2591*i**3 + 8334*i**2 - 8*i. Let s(q) = 2592*q**3 + 8330*q**2 - 6*q. Let j(n) = 3*k(n) - 4*s(n). Find the third derivative of j(w) wrt w.\nAnswer: -15570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78148283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103200123210 - -23?\nAnswer: -103200123121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-2)\/(-1))\/(((-16)\/34)\/(-4)) and 9.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*-1)\/(-4*(-40)\/32)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9526 - -2765.086\nAnswer: -6760.914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1063, 2111, 3159, 4207, 5255?\n\"Answer: 1048*z + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -8 + m - 1 - 3. Let s be w(7). Let t = -258\/77 - -40\/11. Which is the closest to -4? (a) 2 (b) s (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 589774 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -256, -1013, -2262, -3997, -6212, -8901, -12058, -15677?\n\"Answer: k**3 - 252*k**2 - 8*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 664.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -9 + 2*l**3 + 8*l**2 - 5*l - 3*l**3 + 0*l**3. Let y be m(7). Let r(a) = -a**3 - 5*a**2 + 5*a - 6. Let i be r(-6). Put y, i, -1 in increasing order.\nAnswer: -1, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 + 38. Let y = -8 + q. Find the first derivative of 4 - y - 2 + w**2 wrt w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 3:26 AM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 14. Suppose 0 = 3*d + 2*h - 66, -4*d = -d + 4*h - 72. What is the highest common factor of d and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v + 496 = 21*v + 1. Calculate the highest common factor of v and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/21*6\/4*10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 15*h**2 + 55*h - 4. Let u(g) = g**3 - 47*g**2 - 375*g + 12. Let n be u(-7). Calculate j(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44 (base 14) to base 3.\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/2 - 1018658*x + 6111939\/2.\nAnswer: (x - 2037313)*(x - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 41, -50 in descending order.\nAnswer: 41, 5, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175*j**2 - 98*j**3 + 37*j**2 + 68*j**2 + 32*j**2 + 38*j**2.\nAnswer: -98*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -11.7. Let s = 0.2 + -0.1. Let b = 0 - s. What is the closest to b in -3\/7, j, -3\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1150098 is divided by 12640.\nAnswer: 12498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (5 - 1))*(0\/7)\/8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 208001 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of w**6\/2 + 3*w**5\/5 - 3*w**4\/4 - w**3 - 21. Solve h(k) = 0 for k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/63 smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 33827*m = 33826*m - 7, -s + 107 = -5*m for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 10:25 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2872562 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-295)\/(-10)*(-1 - 2 - -13).\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 6:50 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 36\/15)*5. What are the prime factors of (-1 - -1 - -1)*a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -5*v - 8. Let u be b(7). Let j = u + 25. Let m = j + 27. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9*140\/15 + (0 - -3). Suppose 25*y = w + 13. Let j = -15 - -23. What is the least common multiple of j and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/392408 and 57\/347422.\nAnswer: 251533528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -537*y + 225*y + 4144 = -256*y for y.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tittitttitttit. What is prob of sequence ttti?\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (288\/(-104))\/(1504\/(-7332)).\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 (base 12) in base 16?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19325813 is divided by 1147.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + -6 - 0 - (-4 - (-2 - -2)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-22)*13574\/251736?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1780 (base 15) to base 7\nAnswer: -20532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 236 divided by 1054.\nAnswer: 118\/527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v**4 - 208772*v**3 - 1376808*v**2 + 2253248*v - 667648 = 0. What is v?\nAnswer: -10432, -8, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 259 - 534. Let j = a + 149. Let r be (-12)\/(-54) - (-136)\/j. Which is smaller: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 2)*(-4*g**2 + 2*g**2 - 2*g**2)*(3 - 6519*g + 0 + 6935*g) in the form d*g**2 + j*g**3 + q + s*g and give j.\nAnswer: 1664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13341583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 670*i**2 + 1664*i - 215044. What is c(672)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20502 - 1026?\nAnswer: 17454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -684642 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*d - 148 - 175 = 0. Let g(a) be the second derivative of 49*a**3\/6 + a. What is the remainder when g(1) is divided by d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 9:18 PM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4338*x**2 + 4351*x**2 + 4359*x**2 - 13009*x**2.\nAnswer: 39*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 - 2 - 3*q + 55 + (0*q + 0*q + 2*q)*(3 + 2 - 7))*(2 - 2 - 2*q**2).\nAnswer: 14*q**3 - 60*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 4*r + 1. Let h = -257 + 300. Let q be 42 + 0 + (-1)\/1. Let z = h - q. Calculate y(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**3\/3 + 3523696*c**2\/3 + 517349046712*c - 2069414979936 = 0.\nAnswer: -880926, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 108\/42 - -2*(-1 + 0). Let q = 0.11 - 0.01. Let p = -983 + 984. Which is the fourth smallest value? (a) -1 (b) p (c) x (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.06, 7000, 0 in increasing order.\nAnswer: 0, 0.06, 1, 7000","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**3*d**(-1))\/(d**(-4)\/(d\/(d*d\/(d*d**(-1)))*d)))**7 assuming d is positive.\nAnswer: d**49","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 4065183?\nAnswer: 4065183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -2 (c) 4 (d) 2 (e) 3984 (f) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 93*z + 810. Give c(-83).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213 - 2230 = -3*z + y, 3*y + 801 = z. Suppose -5*u - 818 = 2*g - 3*g, -2*g = -5*u - z. What are the prime factors of u\/(-9) + (-10)\/45?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*r = -12. Solve 31*f = 32*f - r for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**4 - 2*d**4 - d**5 + (d - 4*d + 5*d)*(0*d**2 - 2*d**4 + 0*d**2) + (29*d - 71*d - 12*d)*(3*d**2 - 3*d**2 + d**4) - d**5 - d**5 + d**5.\nAnswer: -60*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l + 4*q - 68, 217*q - 215*q - 16 = -2*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/3*1*0\/108\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2717379757 to the nearest integer?\nAnswer: 52128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 7 - 285*g**2 - 2.\nAnswer: -285*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5310\/(-54))\/(-59))\/((-10)\/(-6))*(-3 + -21).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 19, 1 in decreasing order.\nAnswer: 19, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 10. What is the remainder when 24 is divided by -1*(-4 - 23)\/s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -2, -4, -6, -8, -10?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 1344.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*(sqrt(245)*-4 + sqrt(245) + -2))**2.\nAnswer: 27216*sqrt(5) + 715716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(5\/((-10)\/(-4))). Let a(u) = -2*u + f*u + u - 4. Let k(m) = -5 - 3 - 1 + 11. What is 2*a(w) + 5*k(w)?\nAnswer: -2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 8 - 12 + 7*z**2 + 2*z)*(0*z + 0*z + 2*z**2).\nAnswer: 14*z**4 + 4*z**3 + 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1427241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (19\/114)\/((-1)\/(-3)). Which is the nearest to 0.2? (a) -3 (b) m (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4a1573 (base 12) to base 14\nAnswer: -235315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of a**6\/20 - 11*a**5\/60 + 5*a**4\/12 + 11*a**3\/6 + 656*a**2. Let c(u) = -2*u**3 + 4*u**2 - 3*u - 4. What is -11*c(d) - 4*t(d)?\nAnswer: -2*d**3 - 7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 13634126.\nAnswer: 7\/13634126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -5*h + 2 + 5\/2*h**3 + 29\/2*h**2. Differentiate c(f) with respect to f.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204.88940387411 - -3.1?\nAnswer: 207.98940387411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59384.\nAnswer: 2, 13, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 12:02 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -17894 divided by -8947?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4185285 divided by 321945\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -338*u**2 + 3017*u**6 - 6018*u**6 + 3305*u**6 wrt u.\nAnswer: 36480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 1)*(-26*y**3 - 41*y**2 + 41*y**2).\nAnswer: -104*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = 22*k - 1740. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3\/8))**(-7\/3)*t**(1\/5)\/t**(-25) assuming t is positive.\nAnswer: t**(1043\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5832 and 454776?\nAnswer: 110510568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 38 - (2 + -2)*(-3 + 4). What is the first derivative of p + 28 - 4*g + 2*g - 7*g**3 wrt g?\nAnswer: -21*g**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4e129 (base 16) to base 14\nAnswer: -8477b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 601026485 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 5*g + 1. Let h(b) = 2*b - 13. Let x be h(10). Suppose -1 + x = -q. Calculate o(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2525424554 to the nearest integer?\nAnswer: 1362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -613*x**3 - 8*x**2 - 11*x - 4. Calculate the lowest common multiple of 2 and u(-2).\nAnswer: 4890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.5 + 2.7. Let z = -6 + f. Which is the smallest value? (a) 3\/7 (b) -3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -297, -301, -305, -309?\n\"Answer: -4*o - 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -0.1, 4, -2\/7, 1.4 in descending order.\nAnswer: 4, 1.4, -0.1, -2\/7, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13199*y - 1 - 27364*y + 10770*y.\nAnswer: -29793*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -29 - 54*i + 109*i - 52*i. Let v be h(10). Which is the third biggest value? (a) 2\/5 (b) v (c) 3\/8 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*4766.5\nAnswer: -2383.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from cghgccggg.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 858 + -858.4. Which is the nearest to p? (a) -10\/7 (b) -3 (c) 0.4 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aza when three letters picked without replacement from azzzaz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1626 a factor of 13204746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 453.475?\nAnswer: -453.475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 451, 3, -16931 in decreasing order.\nAnswer: 451, 3, -16931","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 5*d. Let v be y(1). Suppose 0 = 2*z + 10 - v, -3*z = 3*s - 6276. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41847.\nAnswer: 3, 13, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 447*k - 44*k + 59*k.\nAnswer: 462*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 196*x + 31339. Determine s(-105).\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 8*n - 4*n)*(1 - 1 - n**3).\nAnswer: 10*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from quuuuuuuuuuuuuquuuuu. Give prob of sequence uuu.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-5\/3))**(-8\/7) assuming u is positive.\nAnswer: u**(16\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aarj when four letters picked without replacement from raaasnarnjnenaan.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*z**2 - 4235*z + 2550.\nAnswer: -5*(z + 170)*(5*z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 9, 5, -10.\nAnswer: -10, 5, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 140675, 140675, 140673, 140669?\n\"Answer: -x**2 + 3*x + 140673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -189768\/17 and -11162 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 223*t**7\/42 + 49*t**4\/4 + 53*t - 73. Let q(w) be the first derivative of f(w). Find the third derivative of q(m) wrt m.\nAnswer: 13380*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -62 * 0.3.\nAnswer: -18.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 3*v = 3*r - 54, 4*r = -4*v + 48 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 910 is divided by 225?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, w: 4, z: 3, u: 7}. What is prob of sequence uu?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 36855995 to the power of 1\/3, to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 542*t**2 + 9006*t + 42512. What is j(-525)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.1 - 4.5. Let m = 6.2 - r. Suppose -j + 5*s + 11 = 0, 5*j - 2*s - 11 = s. What is the nearest to j in m, 0.3, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -157, -187, -87, 149, 527?\n\"Answer: w**3 + 59*w**2 - 214*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 4*t + 12, 5*t - 5 + 6 = 2*j. Suppose d - 3*l = -j*l + 23, -l = -d + 23. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1857432?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 583, 562, 539, 514, 487, 458, 427?\nAnswer: 394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 15.153.\nAnswer: -4.5459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z - 34420 + 34420. Let r(v) = -81*v**2. Give r(y(b)).\nAnswer: -324*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -3, -1640, -0.2 in descending order.\nAnswer: 2, -0.2, -3, -4, -1640","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18\/2003 + -4060\/6009. What is the nearest to 1 in p, 0.4, -0.8, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 205346657*h + 211398711 wrt h?\nAnswer: 205346657","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10*44\/440)\/(2\/(-56)*1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*l**2 - 34*l**2 + 3*l**3 + 59*l**2 + 2*l**3.\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {m: 7, r: 1, x: 6}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 11:57 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 553\/(-63) + 8. Which is the closest to 8? (a) x (b) 5 (c) -10 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -429 - -243. Let s be ((-2)\/(-3))\/((-2)\/n). Suppose -4*b + b + s = c, 2*c = 4*b - 66. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2384.61543us?\nAnswer: 0.000000027599715625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-165)\/22*4\/(-6). Solve 8 = 3*t + c*h, 2*t = t - 5*h + 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-413)\/(-35) + -8.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1184, 1183, 1182?\nAnswer: 1181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**2 - 3*r. Let h be a(2). Suppose -2 = h*u - 12. Solve -v = -u*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -313?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-315)\/189)\/((-13)\/468*4).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119595 is divided by 58574.\nAnswer: 2447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68, 224, 482, 842, 1304?\nAnswer: 1868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of m**4\/4 - 8*m**3\/3 + 3*m**2 + 9*m - 3. Let z be k(7). Suppose -3*x + 38 = 2*t, z*t - 4 = -x + 6. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, -13197\/37, -4, -1 in increasing order.\nAnswer: -13197\/37, -4, -1, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 404 = -v. Let u be v\/14 - -4 - -3. Which is smaller: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 882\/23? (a) 0.5 (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 1060*j + 8. Let l(q) = -51942*q - 396. Give 99*g(r) + 2*l(r).\nAnswer: 1056*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*r**2 + 57*r - 154.\nAnswer: (r - 2)*(10*r + 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (189\/(-28) + 7)*32.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.016 + 1.576. What is g rounded to one dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 913407053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 72, 68, 64?\n\"Answer: -4*l + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129109419.\nAnswer: 3, 23, 623717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(7\/((-140)\/16)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 290, 914, 1868, 3152?\n\"Answer: 165*r**2 + 129*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -68 + 64. Sort 3, 5, 1, s in ascending order.\nAnswer: s, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.115 + -0.023. Let j = -0.13800081 - y. What is j rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_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: Suppose j - 14 = -3*u + 10, 0 = -3*u - 5*j + 12. Let m = 14 - u. Let y(r) = -3 - r**2 - 4*r**2 - 2 + r**3. Give y(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1818)\/(-15) + (-1)\/5. Suppose 42*x = 20*x + 8228. Let z = -352 + x. What is the highest common divisor of n and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30948824?\nAnswer: 2, 101, 38303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (107*y + 8*y**2 + 2 - 49*y - 57*y)*(-5 - 4 + 3)*(-4*y + 5*y - 3*y) to k*y + t*y**2 + b + h*y**3 and give k.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 - 256 + 16)*(-1 - 1 - 2)*(-9 + 9 + 3*j) - 3*j + j + 3*j + (2 + 1 - 5)*(-2*j + 4*j + 0*j) as z + s*j and give s.\nAnswer: 2745","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.4, 0.19, -3\/19, -3, -0.1, -0.03?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 57576941 and 57576941 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 10920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*q - 3*q - 2*q + 3 - 3*q - 3 + (0*q + q + 0*q)*(0 + 3 - 2) + (-17 + 7 - 10 - 9)*(q + q + 0*q) as z + n*q and give n.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-10)*(-9 - 384\/(-36))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 + 0 - 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + 21. Suppose -6*m + 3*m = -x. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32370 and 780?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-25)\/200)\/(131\/524))\/((-1)\/(-142)).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 - 31. Let u = 37 - o. Let p(i) = i**3 - 10*i**2 + i - 4. Let q be p(u). Calculate the highest common divisor of 2 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 7*v**2 - 6*v - 8. Let f be w(8). Calculate the remainder when -2 + 35 - f\/(-2) is divided by 27.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1))**(5\/8) assuming t is positive.\nAnswer: t**(-5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -q**5\/180 - q**4\/4 - 9*q**3\/2 + 110*q**2. Let r(c) = 0. What is c?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6017191 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.774651 nanograms to kilograms.\nAnswer: 0.000000000008774651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v**2 + 5*v + 5. Let h be c(-4). Suppose -4*s + h + 23 = 0. Calculate the lowest common multiple of s and 24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*c + 445 - 235 = 0 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*m - 3*q + 11, m + 11 = 3*q. Let z = m + 5. Calculate the lowest common multiple of 20 + -4 + 2 + -4 and z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*v**2 + 4*v + 15*v**2 + 0*v**2 - 40*v - v**2 - 3*v**3.\nAnswer: -3*v*(v - 6)*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x + 92 - 148 = 0 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - -6 - 3 - -3. Suppose 3*i - 4*o + 2*o + 200 = 0, 3*i + a*o + 212 = 0. Let d = -36 - i. Solve 4*k + 3*c - d = 0, -3*k + k - 10 = -5*c for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -24.877581 and -13.3.\nAnswer: -38.177581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = k - 23, 37 = -16*a + 11*a + 4*k. Sort -10, -3, 2, a, -4 in ascending order.\nAnswer: -10, a, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**5\/9 + 4*z**4\/9 - 14*z**3\/9 + 8*z**2\/9.\nAnswer: 2*z**2*(z - 1)**2*(z + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2251 + -20213\/9. Find the common denominator of d and 133\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3102, -13, 6, -0.46, -1\/11?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (920*r - 632*r - 2701*r)*(r + 2*r - 2*r + (1 - 4 + 2)*(5*r - 20*r - 21*r)) + (-5*r + r + 2*r)*(-3 + r + 3) to the form b*r**2 + h + q*r and give b.\nAnswer: -89283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 82 + 832 = 2*l, 5*i = 3*l - 1347. Suppose -d + 656 - 182 = v, 0 = d - 3*v - l. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5*m**3 - 19*m - 4. Let w(y) = -2*y**3 + 131454 - 131451 - 2*y**3 + 19*y. Determine -2*d(r) - 3*w(r).\nAnswer: 2*r**3 - 19*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d - 26 + 26 + d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 18. Is u + -159*95\/(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*o + 5*o + 5*o as f + x*o and give x.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7711, 7399, 6873, 6139, 5203?\n\"Answer: g**3 - 113*g**2 + 20*g + 7803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rlllrlllrlr. What is prob of sequence llrl?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 7 = 3*b. Let s be 5 + 18 - (b + -2). Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 0. Let j(s) = -s + 75. Let d be j(-9). Suppose -18*i - 3*i = d. Which is the nearest to w? (a) 3\/5 (b) -2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46029491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 4 = -5*g. Suppose -h - 4 = 0, -2*y - 2*h = -h - 32. Calculate the lowest common multiple of y and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -155364986*b**3 + 10531*b + 6635.\nAnswer: -932189916*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1460235089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-545)\/380 + 3 - 12\/(-16)) + -2. Which is bigger: w or -25?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -27*f**7\/7 + 7*f**4\/4 + 247*f**3\/3 + 192. What is the third derivative of i(u) wrt u?\nAnswer: -3240*u**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 3)*(-1 + 1 + 2*r) + 4 - 4 - 2*r + 2*r + r - 5*r + (-56 + 37 + 21 - 71*r)*(-3 + 0 + 1).\nAnswer: 134*r - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/24*(-13)\/(50050\/(-495)).\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*i - 7387 + 15338 - 67315 = 0. Calculate the remainder when i is divided by 181.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 6 = -2*v, -5*o + 5*v - 3*v - 6 = 0. What is the nearest to 1 in o, -2\/9, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/183048 and -26\/5.\nAnswer: 915240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -203401 + 2?\nAnswer: -203355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 6*k**2 + 18*k + 16. Let m be z(-8). Round m to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/4))**(2\/17) assuming h is positive.\nAnswer: h**(1\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3925 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12218044 to the power of 1\/2, to the nearest integer?\nAnswer: 3495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36776.\nAnswer: 2, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*n + 257901 - 2387049 = -39*n. What are the prime factors of n?\nAnswer: 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5*h - 234. Let u be c(46). What is the closest to 2 in u, -157, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -190, -395, -600, -805, -1010?\n\"Answer: -205*z + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -242190 by 3510.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + 18 - (-21 - -14)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*2*sqrt(2178)*6)\/((sqrt(144) - -3*(sqrt(144)*1 + sqrt(144)) - sqrt(144) - sqrt(144))*-3))**2.\nAnswer: 3872\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37*h + h**2 - 3*h**2 - 7*h**4 + 8*h**4 + 10*h**3 - 61*h**3 wrt h?\nAnswer: 24*h - 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -71*m**3*o**5 - 950*m**3*o**3 + 3*m**3 + 39*m**2*o - 11*m*o wrt o.\nAnswer: -1420*m**3*o**3 - 5700*m**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(15)\/sqrt(3) + sqrt(5)) + -1*sqrt(45) + sqrt(45))**2 - (1 + -5 + sqrt(15)\/sqrt(3)).\nAnswer: -sqrt(5) + 724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -1. Let k(f) = -f + 2. Let j(s) = 3*a(s) - k(s). Let d = -6 + 10. Calculate j(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1427, -1496, -1567, -1640, -1715, -1792, -1871?\n\"Answer: -b**2 - 66*b - 1360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(2) + 1 + sqrt(50) - sqrt(2)*2*-6) + 2 + sqrt(162) + (-1 + sqrt(2))*-2)**2*2 + 2.\nAnswer: 500*sqrt(2) + 2555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 36354065 - -3?\nAnswer: 36354070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 38 times -166\nAnswer: -6308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 960 in -0.4, -2, 3, 1\/3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 30*t + 231. Let z = 999 + -1010. Is 16 a factor of h(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001110100121 - -10?\nAnswer: -1001110100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2279 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 445197.\nAnswer: 3, 148399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14725.\nAnswer: 5, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-9)\/(-18))\/((-2)\/4). Let z(f) = 1. Let s(d) = -d - 2. Calculate q*s(b) - 4*z(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 298518, 596992, 895422, 1193808, 1492150, 1790448, 2088702?\nAnswer: 2386912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 17. Suppose -7*m + 5 = -9. What is the smallest common multiple of 2 and ((-6)\/m)\/3 - g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 65. Let h(w) = -w**2 + 3*w + 31. Let j be h(6). Suppose 16*v - 75 = j*v. Calculate the remainder when i is divided by v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*o - 35. Suppose g - 22 = -o. Suppose -5*q = -0*q + g. Put q, -2, 1 in decreasing order.\nAnswer: 1, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/9252373 and 13\/517?\nAnswer: 101776103","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 54*((-1)\/3)\/(-1). Let i = r - -10. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 3*k - 5. Let u be h(-5). Let w = -7 + u. Let q be (3 + -1)*w\/(-6). Which is the second smallest value? (a) 2\/7 (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*x - 85*x + 1529 = -14*x - 24*x for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 116501 + 568716. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -19. What is the second derivative of g - 4*g - 2*g**o + 0*g**4 + 2*g wrt g?\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -654*j**2 + 49333832*j + 301736 = 0.\nAnswer: -2\/327, 75434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 9*n - 4. Calculate a(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1212178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand u - 1 + 1 + 3*u - u + 0*u + (-2*u - 4 + 4)*(3 - 7 + 2) - 5*u + 3*u + 4*u + 1 - 2*u - 1 + 2*u + 0*u + 0*u - 2 + 2 - 2*u + (-2 - 3 + 0)*(-2*u + 5*u - u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30 - -61?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35*g**5 - 2*g**2*y**2 + 33*g*y**2 + 19*g + 2*y**2 wrt g?\nAnswer: 700*g**3 - 4*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2183083*c**3 + 6904831*c**2?\nAnswer: -13098498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 13*g + 37. Let p be z(-2). Put p, 0, 3, 4 in increasing order.\nAnswer: 0, 3, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**2\/7 - 4*g + 102\/7 = 0. What is g?\nAnswer: -17, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 1. Let m(y) = -y**2 + 47*y + 14. Let q(z) = -z - 2. Let a(d) = m(d) + 3*q(d). Let o be a(0). Solve -o*t + n*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.189561519 rounded to two decimal places?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 343961?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3559*t - 14254. Determine u(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - 4*k - 6. Let j = -30 + 36. Suppose j = -4*p + 2. Let a(g) = -6*g**3 - g**2. Let f be a(p). Determine n(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30\/1031, -0.4, 1, -5\/2, 0 in decreasing order.\nAnswer: 1, 30\/1031, 0, -0.4, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 999748643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9872254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(-1 + (1 - -1)). Suppose l*f - 3*f + 7 = 0. Calculate the remainder when 74\/6 - (-3 - 70\/(-21)) is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 - 33. Let m be -50 - 5\/(20\/8). Let q be ((-2)\/m - 0)*4. Does a = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 933*s + 1109*s + 436*s.\nAnswer: 2478*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of n**4\/3 + 31*n**3\/6 - 14*n. Find the second derivative of y(i) wrt i.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 20*k**2 + 126*k + 2383. Give t(11).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -24*n - 10. Let k(o) = 19*o + 10. Let i(h) = 5*k(h) + 4*q(h). Determine i(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.08, -1, 4017, -3\/8, 21?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2771 (base 13) to base 16.\nAnswer: 1625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 7:02 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -t - 3. Let q be t*4*20\/32. Let v = -7 - -10. Solve 19 - q = v*l + z, -3*l + 5*z = -20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -222\/575, -0.02, -0.2, 4 in decreasing order.\nAnswer: 4, -0.02, -0.2, -222\/575, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 - 5590360*b + 11180740.\nAnswer: -5*(b - 2)*(b + 1118074)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 3*t + 62 = 3*j, -2*t + 20 = j. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 5*v**4\/12 - 17*v**2 - 17. Let w(n) be the second derivative of g(n). Let u(c) = -c. Determine w(u(p)).\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13240 or 13239?\nAnswer: 13239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329889?\nAnswer: 3, 7, 23, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 23.\nAnswer: -4.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (1785\/(-1275))\/((-2)\/(-20))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 4:18 PM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-f**3 + 2 - 2)*(-2 + 2*f**2 + 2) + (f**2 + 3*f**2 - f**2)*(-f**3 + 2*f**3 + 0*f**3))*(0 + 0 - 2).\nAnswer: -2*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.095433 times -0.29?\nAnswer: -0.02767557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p**3 + p - 156. What is h(0)?\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 2*q - 2*q)*(3 - 4 + 0) + 5*q - 5*q + 8*q - q - 3*q + 3*q.\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-10)*(18\/(-33))\/((-576)\/1408).\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 9*q**2 - 142*q - 5. Let n(h) = h**2 - 36*h - 1. Let i(x) = l(x) - 4*n(x). Let j(d) = 2*d. Let r be j(-1). Calculate i(r).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125755 is divided by 1014.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -204, 0, -5 in descending order.\nAnswer: 0, -5, -204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-15)\/270))\/(40\/5)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13617 and 368424.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24737512 to the nearest integer?\nAnswer: 4974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/55 + (-5320)\/(-209). Solve -5*z + d = -1 + s, -4*z + 2*d - 20 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 76, 214, 454, 802, 1264?\n\"Answer: c**3 + 45*c**2 - 4*c + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 17 = 4*n - 5, -5*q + n + 23 = 0. Suppose 3*a - 12 = -4*t, -4*a - 15 = -q*t - 0*t. Solve a + 0*i + 2\/3*i**2 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x + 5*s + 11, -x - 2163*s = -2162*s + 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of q**6\/360 + q**3\/6 - 3*q. Let g(s) be the second derivative of b(s). Let z(n) = -6*n. Give z(g(f)).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 5*d - 3*h, -d + h - 7 + 20 = 0. Solve -29 = -5*s - d for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**3 + 49*f**2 + 5. Let l(r) = 2*r**3 + 42*r**2 + 4. Let h(a) = -7*l(a) + 6*v(a). Let s(b) = -b**3 + 1. Calculate h(g) - 5*s(g).\nAnswer: 3*g**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10021661 is divided by 1266?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 181.18 - 175. Let m = 5.68 - l. Let g = 0.6 + 2.4. Sort g, 0, 1\/4, m in descending order.\nAnswer: g, 1\/4, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(4*2\/8). Suppose 5*u + 5 = -n. Let z be u\/(-2) - (-2)\/4 - -3. Solve -16 = -z*b + 4*d, 0 = -5*b + 3*d + 7 + 5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 2*m)*(3*m**2 + 9*m**2 - 4*m**2) + (5 + 3 - 2)*(m**3 + 5*m**3 - 4*m**3) in the form u*m**3 + f*m**2 + s*m + c and give u.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 + -39. Let s(d) be the third derivative of 0*d**5 + 0 + 0*d - 1\/30*d**6 + 0*d**4 - l*d**2 + 1\/3*d**3. Differentiate s(z) wrt z.\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 775571161 to the power of 1\/2, to the nearest integer?\nAnswer: 27849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aiiaiiaiiiiaiaaiiia. What is prob of sequence aaai?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-3)*(-12)\/56.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3*f + 0*f - 31 = 0, 2*f - 9 = -p. Let d = p + -31. Let b = 47 + d. List the prime factors of b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 5 + 4 + -9 - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 996186539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 200*h + 10461. Is u(-44) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*x = -252 - 336. What is the greatest common divisor of 134 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, -5, -0.2, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7930*p**6 - p**4 + 86010*p**2 wrt p?\nAnswer: -951600*p**3 - 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -17637 (base 8) to base 4\nAnswer: -1332133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, v: 1, z: 2, q: 2, p: 7}. What is prob of picking 1 q and 1 m?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -0.4, 3\/43, 10 in descending order.\nAnswer: 10, 3\/43, -0.4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 83 + 28. Suppose -36 = -5*x - c. Sort -34, 3, x in ascending order.\nAnswer: -34, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kssssskssssssskssssk. What is prob of picking 1 s and 1 k?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r**4\/r)\/r)*r)\/r*r**(-4)*(r*r*r**(7\/5)*r)\/((((r*r**(9\/5))\/r)\/r)\/r) assuming r is positive.\nAnswer: r**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -4*s + 0*s**2 + 1\/3*s**3 + 0. Let r(q) = -1. Let b(y) = y + 7. Let f(x) = 3*b(x) + 21*r(x). What is w(f(c))?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 283107?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(4\/3)*b)*b*b\/(b*b*b**(-2\/3)*b))\/(((b**(-2\/15)*b*b)\/b)\/b**9) assuming b is positive.\nAnswer: b**(97\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**2 - 2\/3*f**3 + 0 + f. Let v(g) be the first derivative of 3*g**2\/2 - g - 3. What is 2*t(n) + 3*v(n)?\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 11:12 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 0.08, -1 in increasing order.\nAnswer: -48, -1, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 90*p + 793. Give j(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v + 22. Let w be q(-10). Suppose 0 = 5*i - 3 - w. Solve -i = 3*s + 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 12 - 24 = 0, 2*v = 4*m + 320. Put 5, 3, m, -2 in descending order.\nAnswer: 5, 3, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -384*11030.\nAnswer: -4235520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -477 times 8\nAnswer: -3816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141159016?\nAnswer: 2, 17644877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -260.7163 to 0 decimal places.\nAnswer: -261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 37164498 and 66.\nAnswer: 408809478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r + r + 2*r - 4*r - 11. Let f be n(11). Suppose f = -2*z - 2*z + 20. Put 0, z, -0.04 in decreasing order.\nAnswer: z, 0, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68844050 divided by -34422025.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -35, -201, -5.\nAnswer: -201, -35, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 1:33 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -62, -0.33, 0.3?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 - 14 - 4*c**3 + 5*c**2 - 7*c**2 to i*c**3 + g + d*c**2 + s*c and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.047 - 25.047. Let v = -766 - -738. Let b = o - v. Sort -2\/11, -5, b in descending order.\nAnswer: b, -2\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9129 and 24497.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -53 - -122. Suppose 0*l - q = -l. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15.5 + -16. What is the nearest to 1 in -3, -2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.17422 litres to millilitres.\nAnswer: 29174.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c**3 + 19*c**2 + 11*c - 11. Let l = -164 + 169. What is the remainder when 148 is divided by b(l)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-56)\/12)\/(-7))\/((-8)\/6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**5 - 9*y**4 - 6*y**3 + 6*y**2 + 9*y + 3 = 0 for y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkggkgkgkkkgkgkgkxk. What is prob of picking 3 g and 1 k?\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9138833521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4799, 4801, 4825, 4883, 4987, 5149?\nAnswer: 5381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + 27\/6)\/(-2 + 5). Let h = 16.1 + -16. What is the closest to -0.1 in 2\/7, h, n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17806?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y - o = -5*y + 27, -20*y - 11*y = 4*o + 223 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101, 99, 103, 119, 153, 211, 299, 423?\nAnswer: 589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g - 16 = -4*g - 106. What is the nearest to 1\/5 in 1\/4, g, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 5*y - 45 = 0, -140*n + 2*y = -143*n - 2. Which is the nearest to 0.1? (a) 4 (b) 2 (c) n (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 14. Let v = z + 11. Suppose v*s + 20 = 8*s. Does 9 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - s**2 - 2*s + 2. Let h be ((-3)\/2)\/((-3)\/6). Let l = h - 1. Calculate t(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -103? (a) -0.9 (b) -1\/2 (c) -1\/6 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 780.\nAnswer: 2340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (260 - 99*k - 260)*(-3*k**2 + k**2 + k**2).\nAnswer: 99*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u. Let n be w(1). Let r(a) = 6*a - 4. Let b be r(4). Suppose -5*g = b + 5. What is the third smallest value in -3, n, g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4246086.744024 and -25?\nAnswer: 4246061.744024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1438*s - 77 - 7113. Let m be (-3)\/2*2\/3. What is the nearest to 0.1 in m, s, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 122240 and 224?\nAnswer: 855680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a micrometer in nanometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -10, -1, 4.\nAnswer: -10, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -c**5\/60 - 2*c**3\/3 + c**2. What is f(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5495 is divided by 831?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**17*x**(-9\/4)\/x*x**(-13)\/x**(-1\/9) assuming x is positive.\nAnswer: x**(31\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -241*z**2 - 123*z + 5. Let u(l) = 121*l**2 + 62*l - 2. Let j(f) = -4*g(f) - 10*u(f). What is the second derivative of j(k) wrt k?\nAnswer: -492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t - 5*t - p + 5, 2*t - 2*p - 14 = 0. Let b(o) be the second derivative of -1\/48*o**4 + 3\/160*o**5 + 1\/8*o**t + 0 - 11*o - 1\/16*o**3. Factor b(m).\nAnswer: (m - 1)*(m + 1)*(3*m - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -78 + 60. Is 1 - ((-122)\/18 - w\/(-81)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*w - 390 = -6*w. Solve -o - w = -4*o, -4*o = -2*l - 22 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 217 = 7*o - 252. Suppose 0 = 20*g - 17*g - 417. Let w = g - o. Calculate the highest common factor of 24 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31*q**3*y**5 - 29*q**3*y**3 - 5*q**3*y + 22*q**2*y**2 + q**2 - 10*y**2 wrt y?\nAnswer: -1860*q**3*y**2 - 174*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15228\/126 + 12\/(-14). Let o be (-54)\/f*-5 - 2. Determine w so that 3\/2 + o*w**2 + 5\/4*w = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*j**4 - 2*j**4 - 2*j**4 - 2*j**4 + 0 + 0 + (10 + 2 - 5)*(j**4 - 2*j**4 + 4*j**4) in the form h*j**2 + b*j**3 + g*j**4 + m + q*j and give g.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 - 6. Let h = o + -26. What is the tens digit of (91\/14)\/(h\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01346 times 17.75?\nAnswer: -0.238915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -161.44 or 1\/5?\nAnswer: -161.44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/4 - 4*q - 7.\nAnswer: -(q + 2)*(q + 14)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68.1728 - 0.1728. Sort -5, h, 1, -0.3 in decreasing order.\nAnswer: h, 1, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 12*c + 844. Determine z(-36).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 11*k**2 + 19. Let u be n(-11). What is the first derivative of -3*m - 14 - u*m - 38*m wrt m?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -9*t + 108 - 59 - 50. Suppose -3*d - 9 = -2*h + h, -3*h + 1 = 4*d. Determine o(d).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.987441 litres in millilitres?\nAnswer: 987.441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -5) + -7 - -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/90*12\/5*25\/100.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 3*c + 39 - 12 + 1 to the form q*c + v and give v.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u + 14. Let o be y(-11). Solve 4*h = 3*h - o*p + 13, -2*h - 2*p + 10 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4030019 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/10 + 9\/(-15). Let r be (-3 + o)*(-4 - -7). Let b be (-4)\/(-6) + 6\/r. Solve v + 1 + 2 = b for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 6.6. Let w be (6\/4)\/((-273)\/(-28)). Put -0.2, x, w in descending order.\nAnswer: w, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (196*l + 298*l - 3087*l)*(l - 5 + 5)*(3*l - l + l)*(0 - 2*l + 0).\nAnswer: 15558*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -11*o**3 - 9*o**2 + 9*o. Let k(d) be the first derivative of 3*d**4\/4 + 2*d**3\/3 - d**2 + 2380. Determine -26*k(h) - 6*w(h).\nAnswer: -12*h**3 + 2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/144*(-468)\/(-780)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 101178 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66355267.\nAnswer: 11, 17, 20873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**19\/l**16)\/((l\/l**(-4\/7))\/l)**13 assuming l is positive.\nAnswer: l**(-31\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 11:23 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 45 + 50?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98, 110, 144, 212, 326, 498?\nAnswer: 740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 1 = -9. Suppose b*o - 9 - 1 = 0. Suppose -o*c + 2*g + 160 = 0, -2*g - 2 = -0. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*w + 7. Find the second derivative of 9*r**2 - 9*r + 0*r**2 - 2*r + w*r wrt r.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 3:24 PM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*(-6)\/(-60))\/1*-8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28524.\nAnswer: 2, 3, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-31))\/(90\/1395).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 5*l - 1027, 49*l = 3*m + 48*l - 3011. Does 5 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280 = 5*g + 3*g + 216. What is the remainder when 85 is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24868, 24982, 25170, 25432, 25768, 26178?\nAnswer: 26662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: -1000360 divided by -712\nAnswer: 1405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 28. Let j = -19.5 - g. What is the second biggest value in 2, -1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3966448?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) 4 (c) 1 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - i. Suppose 5 = -4*w - w. Let b(d) = -10*d**2 - 15*d. Let u(c) = w*b(c) + 15*r(c). Let x(a) = -2*a**2. Calculate u(x(g)).\nAnswer: -20*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -42\/13 equal to -35076?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 991*x - 10*x**5 + 991*x + (-x**3 + 0*x**3 - x**3)*(-3*x + 3*x + x**2) + 0*x**5 + 2*x**5 - x**5 - x - x**5 + x.\nAnswer: -12*x**5 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 809\/1218 + 1\/406. Factor -4\/3*p**2 + f*p + 2\/3*p**3 + 0.\nAnswer: 2*p*(p - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*a + 479*a - 1005 + 8829 = -7854 for a.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 91, 162, 237?\nAnswer: 316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**0*m\/(m\/m**(-2\/23)*m) assuming m is positive.\nAnswer: m**(-25\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -632*g**2 + 7*g + 522*g**2 - 3*g.\nAnswer: -110*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -56156 - -7?\nAnswer: -56148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413754 is divided by 3101?\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25*2\/2*(-322)\/(-805)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/4, 15, 0.4, -36, -444, 2\/7 in increasing order.\nAnswer: -444, -36, 2\/7, 0.4, 9\/4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x - 17. Let y be m(-21). What is the third derivative of -11 - 5*c**2 - 7 + 11*c**y + 18 wrt c?\nAnswer: 264*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -542060 to the nearest 10000.\nAnswer: -540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -592876*m**3 + 5*m - 88808408?\nAnswer: -1778628*m**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 55*t**2 - 5*t + 220. What is the ten thousands digit of k(39)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 334 a factor of 206557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9662841396 divided by -4.\nAnswer: -2415710349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**2 + 0*p**2 + 0*p**2 + (-p - p**2 + p)*(-2 + 9 + 5) + (-3*p + p + p)*(-2*p + 1 - 1) + p**2 + 5*p**2 - 4*p**2.\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -10*w. Let b(h) = -105010515*h. Calculate b(u(a)).\nAnswer: 1050105150*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of 11\/6*r**3 + 0 + r**2 - 8*r + 1\/8*r**4. Let p(d) be the first derivative of l(d). Let a(b) = -b**2. Give p(a(x)).\nAnswer: -3*x**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 37. Let m = z + -25. Sort 8, m, 5.\nAnswer: m, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 372751731 a multiple of 759?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425 is divided by 141?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12148 + 254 - 5577 = -105*v for v.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2285, -8505, -18873, -33389, -52053?\nAnswer: -74865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-159*i**2 + 77*i**2 - 203*i**2)*(2*i + 2 - 2) + (-5*i**2 + 3*i**2 + 3*i**2)*(-3*i - 3*i + 4*i).\nAnswer: -572*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 3 + 2 - 10*q + (-5*q - 2*q + q)*(-10 - 2 - 7).\nAnswer: 104*q + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18081?\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 406, 1783, 4124, 7423, 11674, 16871?\n\"Answer: -z**3 + 488*z**2 - 80*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -509*c - 911*c = 183*c - 32060 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -6*u - 8. Suppose -3*x + 2*b = 3*b - 85, 5*b = 5*x - 155. Let c = x + -35. Let r be v(c). What is the highest common factor of 70 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-6))\/((-107)\/(3519765\/1020))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*k - k + 7*k)*(1 - 4 + 4) to t + d*k and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of 9*h + 0 + 1\/3*h**3 + 0*h**2. Let r(y) = -2*y + 4*y + 0*y. What is r(i(f))?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5180 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1, 165, 1060 in ascending order.\nAnswer: -6, -1, 165, 1060","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.78581075 + 3?\nAnswer: 5.78581075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -149, -311, -489, -689, -917, -1179?\n\"Answer: -w**3 - 2*w**2 - 149*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23025759*w**2 + 14*w + 24769 wrt w?\nAnswer: 46051518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1761288, 3522570, 5283852, 7045134, 8806416?\n\"Answer: 1761282*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/((f*((f**3*f)\/f)\/f)\/f)*f*((f\/f**(-6)*f)\/f)\/f*(f**(-2))**(4\/35) assuming f is positive.\nAnswer: f**(202\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 32618731 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -37, 1, 5, -10.904, -2\/5 in increasing order.\nAnswer: -37, -10.904, -2\/5, 1, 5, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*a - 45*a - 56*a)*(39*a - 21*a - 2*a).\nAnswer: -1328*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of f**6\/300 - 5*f**2. Let s(l) = 0. What is l?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -9*m - 2*m**2 - 9*m + 18*m. Let q(o) = 15*o**2 - 19. Let y(c) = -10*c**2 + 12. Let r(d) = 5*q(d) + 8*y(d). Give r(p(l)).\nAnswer: -20*l**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(4\/7)*s))**(-33\/2))**41 assuming s is positive.\nAnswer: s**(2706\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 - -30. Let q be -10*(300\/j)\/(-5). What is the greatest common factor of q and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.036 times 4667\nAnswer: 168.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64138?\nAnswer: 2, 32069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10117983 + 11*w**2 - 10117983.\nAnswer: 11*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.1969973 years?\nAnswer: 2.3639676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-8)*(-1)\/(3\/(-2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 0 = 6. Let x(n) be the first derivative of -n**2 + 3*n - 162. Determine x(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7414 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 pptpt. Give prob of picking 3 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/4 and -3793 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 r, and 1 j when three letters picked without replacement from jbkkjkjjjbjrrjjjrkj.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*x**2 + 3 + 38*x**2 - 3 + 35*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 3, 0, -1, -3, 595 in descending order.\nAnswer: 595, 3, 0, -1, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-15*(-32)\/12*(-78)\/6500).\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 8 = -4. Let o(c) = 5*c - 5. Give o(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/15231 and 26\/63.\nAnswer: 319851","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4523321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 2*g + 11 = 0, -2*y - 39 = -6*g - 105 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/((w\/(w*w*w**(-2\/5)*w))\/w)*w)\/w*w**(-13\/5) assuming w is positive.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 931, 1863, 2781, 3679, 4551, 5391?\nAnswer: 6193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from swssssswsw. Give prob of sequence wwsw.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90598*f**3 + 45283*f**3 + 45261*f**3.\nAnswer: -54*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 7*n**2 - 7*n + 9. Let o be m(6). Solve o*d = d - 2*v - 6, 0 = -4*d + 2*v + 6 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*b - 860 + 530 + 30*b + 17*b + 330.\nAnswer: 32*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i + 4. Let b(s) = -7*s + 9. Let h(z) = -4*b(z) + 9*p(z). Suppose -2*o = o - 4*q + 8, -o + 9 = q. Calculate h(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5349?\nAnswer: 3, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1799, -1801, -1803, -1805, -1807, -1809?\n\"Answer: -2*x - 1797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4*j + 41. Let w(z) = z**3 - 2*z + 10. Let x be w(0). Let i be h(x). Which is smaller: -0.04 or i?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*l - 34*l + 27. Let o(c) be the third derivative of c**4\/24 - 3*c**3\/2 - c**2 - 16*c - 2. What is o(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14124 rounded to the nearest 100?\nAnswer: 14100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2) - ((-612)\/(-104))\/9.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4071880 and 280.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/4*(-8)\/6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**4 + c**5 + 0*c**4 + 11*c**5)*(-1633 - 936 - 417 - 132).\nAnswer: -37416*c**5 - 3118*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 421607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q + 8. Let k = 2 - -5. Suppose -k = -3*b + 11. What is the remainder when 27 is divided by t(b)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3126649518?\nAnswer: 2, 3, 79, 732923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1505 + -0.08482. Let q = z + -0.105. What is q rounded to 3 dps?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 15*c**2 + 34*c + 18. What is m(12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(6\/(-16)))\/((-22)\/(-33))*-1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30856 and 6160.\nAnswer: 3394160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (2 - (-58)\/8).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 42*k**2 - 63*k + 848. What is g(-5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-5\/9)*w*w*w**1*w)**(-48))**(-14\/11) assuming w is positive.\nAnswer: w**(6944\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 6146*t - 6149*t - 24 = -j, 0 = 15*j + 2*t + 81 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2 - 4 = -s, -3*s = 5*k + 2. Suppose 2*d - 3*d = k*o - 49, -10 = -2*d. Suppose 0 = -4*w - o + 86. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**4 + 543*o**3 + 11460*o**2 - 12000*o = 0. Calculate o.\nAnswer: -20, 0, 1, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6516556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -320 - -338. Suppose -6 = -l*r - 6. Solve -1 = f + 3*d, r*f + 3 = -3*f + 3*d for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38)\/40 + -4*(-4)\/(-64).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 7 + 1. Suppose -2*t - 5*m + 24 = 0, 17 = 3*t + o*m - 4*m. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00064308282 rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19244?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-48)*(-87416)\/(-20293).\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -13735 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -13*w + 1199. What is h(104)?\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 1163816471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/19712 and -103\/140.\nAnswer: 98560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**(-4\/5)*(j*j**(-12))\/j assuming j is positive.\nAnswer: j**(-51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*g**2 + 3*g**2 + 671*g**3 - 2 + 2*g**2 + 146*g**3 to b + r*g**2 + j*g + f*g**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4 - 4810*t**3 - 14437*t**2 - 9626*t.\nAnswer: t*(t - 4813)*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/211818 and 133\/12.\nAnswer: 423636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 192 and 102758448?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.9 in 4, -85, -2.4, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001011101101001 (base 2) to base 12.\nAnswer: -1a521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 49 = 2*w + 3*w, 5*d = 4*w + 50. What is the remainder when 10 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 16*m**3 + 4*m - 1. Let w(x) = -3*x - 17*x**3 + 2*x**2 - 2*x**2 + 1. Let v(h) = 5*u(h) + 6*w(h). Is v(-1) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 4 + 0*z**2 + z**2 - 7*z. Let p = -631 + 626. Is 10 a factor of g(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ecdc when four letters picked without replacement from eczdccec.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -1284, 7, -3, 0.\nAnswer: -1284, -3, 0, 2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**4*k*k)\/k)**(2\/21) assuming k is positive.\nAnswer: k**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x - 2 + 54*x**3 + 16*x**3 + 248*x**2 - 255*x**2 to s*x**3 + c*x**2 + n + g*x and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.31788547 rounded to three decimal places?\nAnswer: 1.318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8394*g - 9280 = 8104*g for g.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 113321 - -10?\nAnswer: 113331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -685, -1368, -2051, -2734, -3417, -4100?\n\"Answer: -683*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (6 - (9 + -4 - -7))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + 7 = -4*h - v, 3*v - 15 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -618 divided by 3?\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33258 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) + 1)**2*-2 - ((sqrt(200) - sqrt(200)*2) + -1)**2) + 4 + sqrt(20)\/(-1*sqrt(1440)).\nAnswer: -599 - 721*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -2. Let p = v + 3. Calculate the remainder when (-11)\/(-9) - (-2)\/(-9) is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2973.\nAnswer: 3, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**3 + 328*j**2 + 12768*j - 56448 = 0.\nAnswer: -84, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 21*z**4\/2 - 87*z**3 + 321*z**2\/2 - 102*z + 18 = 0.\nAnswer: 2\/7, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 243861 + -184.\nAnswer: 243677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*r + 23*r = 6*o - 276, 2*o - 82 = 2*r - 3*r + 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1308*g**2 + 639748*g - 66504.\nAnswer: -4*(g - 489)*(327*g - 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 12 = -0. Sort 7, 2, -3, p in decreasing order.\nAnswer: 7, p, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or -1739724?\nAnswer: -1739724","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-910)\/(-315)*6 - (-30)\/(-6)\nAnswer: 37\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/9 (b) -4 (c) -0.67 (d) 7 (e) 8 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.26 * -0.5.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 5) to base 4.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2978 - 2946. Calculate the highest common factor of n and 1296.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f + 15. Let p be d(-4). Let z be ((-4)\/((-4)\/p))\/((-2)\/22). Suppose -5*s = -2*s - 15. Solve 3*b = 2*y + z, s*b + y - 1 = -0*y for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1101 (base 2) to base 7\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0574297 smaller than 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 112 and 251632.\nAnswer: 1761424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 482\nAnswer: 96.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5*w + 113 = 0, 2*w = 5*u - 74 - 104. Let z be 120\/u + 1\/(-3). Let l = 1.6 - 1.9. Put l, z, 1 in ascending order.\nAnswer: l, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2630 - 6420?\nAnswer: -12350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 j when three letters picked without replacement from {j: 4, t: 7, q: 1, x: 6}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 23*o - 77*o - 1 + 27*o + 29*o + 4. Let a be (2\/4)\/(2\/(-4)). Let y be a + 1 + -1*5. Give p(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 242542 to the nearest integer?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 27\/4 of a hour?\nAnswer: 24300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -442*y - 292 wrt y?\nAnswer: -442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4889869636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 208\/32)\/(117\/52)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2984583, 2984580, 2984587, 2984610, 2984655, 2984728?\nAnswer: 2984835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3 - 1 - 24*u.\nAnswer: -24*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*h - 126 = -123*h. Let q be (5\/4)\/(15\/60). Suppose 18 - 3 = -5*a, 5*t + 2*a - 14 = 0. Solve -t = q*d + h for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36435419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 331626162?\nAnswer: -331626161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2017?\nAnswer: 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2213112 (base 4) to base 12.\nAnswer: 6246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 6*b**2 + 7*b + 5. Let i = -12 - -5. Let f be m(i). Solve -k + 2*s + 22 = 3*k, k + f*s = -11 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sbc when three letters picked without replacement from sbsbcbksbzsbss?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1532 = -4*n - 80. Suppose t = -10*t + n. Is 4 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4511 - -58677\/13. Let h be 14104\/(-4836) - 4\/(-12). Let i = d + h. What is the nearest to -1 in 4, i, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x. Let g(t) be the second derivative of t**4 + 5*t**2\/2 + 6*t + 25. Give g(u(q)).\nAnswer: 108*q**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000881 rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 185*k**2 - 59259745*k - 3203230 = 0.\nAnswer: -2\/37, 320323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**2 - 4 + 5*q**2 + 5*q - 2. Let h(r) = r - 1. Let o(t) = -5*h(t) + i(t). Determine o(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 4) to base 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 624 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 5*w**3\/3 - 245*w**2\/2 - 780*w - 933. Let l(r) = 0. What is r?\nAnswer: -3, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6\/67 + -1309\/402. Let m = 2095 + -18781\/9. What is the common denominator of m and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/20 and 49\/190?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -31*r**4\/4 + 2*r**3\/3 - r**2 - r + 10. Let u(f) = f - 7. Let d be u(5). Is b(d) 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 29278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -6*j - 6. Let k be g(-10). Suppose r = 4*r - k. Calculate the least common multiple of r and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 9*z**2 - 7*z - 9. Let m be w(7). Let r be (12\/m)\/1*24. Let o = r - 386\/55. Sort -1\/5, o, 0 in decreasing order.\nAnswer: o, 0, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 0.3, -0.104 in increasing order.\nAnswer: -0.104, 0.3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28.02 or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0886322 grams to tonnes.\nAnswer: 0.0000000886322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 27, 32, 53, 96, 167?\nAnswer: 272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 404986, 404955, 404906, 404839?\n\"Answer: -9*m**2 - 4*m + 404999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 15 = -4*y, -1499 = -s + 3*y. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7515303 or -7515304?\nAnswer: -7515304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 32015436?\nAnswer: 32015433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, g: 2}. Give prob of picking 2 a and 2 g.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 3) + (-2 - -1) - -5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13.8 - 14. Suppose 4*x - 29 - 11 = 0. Let q be (-27)\/30 - 6\/x. What is the third smallest value in q, t, -1\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 2*c + 7*j, -2*c + 3*j - 30 = -30 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*v - 13*v**2 + 42*v in the form t*v + a + o*v**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.48533*-380.\nAnswer: -1704.4254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**2 - 540*v - 536 = 0. Calculate v.\nAnswer: -134, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4542 - -45539\/10. Find the common denominator of w and -9\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 138192, 553230, 1244962, 2213388, 3458508, 4980322, 6778830?\n\"Answer: 138347*x**2 - 3*x - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wuwu when four letters picked without replacement from {u: 5, w: 6, s: 4}.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -8*p - 16. Let w(g) = -g - 1. Let h(o) = -s(o) + 10*w(o). List the prime factors of h(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-84)*3)\/((-10)\/(-680)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -428, -384, -364, -380, -444?\nAnswer: -568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 1022 = 3458. Suppose -86 - r = -2*x. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4725 and 3150.\nAnswer: 9450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67 - 111. Let p = -168 + 192. Let j = p + s. Are j and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**3 - 5*i**3 + 4*i**3 + i**3 + 2*i**3 - 4*i**3 + (-25*i**2 - 40*i**2 + 2*i**2)*(-3 + 3 - i).\nAnswer: 58*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*b - 7*b + 1131 = -2*n + 466 + 530, 4*n + 10 = 2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 108 + -107.824. Round r to two dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f + 1 + 0 + 6*f + 5. Let k(q) = -2*q - 7. Determine -4*k(c) - 5*r(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 15*c - 12. Let h(i) = -4*i**2 + 2*i + 2. Let j be h(2). What are the prime factors of g(j)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 76*v**2 - 42*v**2 + 2 + 14*v - 33*v**2 + (0 + 4 - 3)*(-v**2 + v**2 + 4*v**2).\nAnswer: 5*v**2 + 14*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1113788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ig when two letters picked without replacement from iiuguiigiiuiguiuiugi.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7786*l + 229703 + 39645 = 4624 for l.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3309 + 6624 - 3315 + 6385*q.\nAnswer: 6385*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -35453213, -35453212, -35453211, -35453210, -35453209, -35453208?\n\"Answer: p - 35453214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 2*i - 398599. Suppose 4*o = i + 581401. Round o to the nearest 10000.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a40b708 + -5?\nAnswer: -a40b710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3146406.\nAnswer: 2, 3, 37, 14173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*w - 906 = w, 3*w = 5*o + 2291. Let t = o + 1070. Suppose -4*h + t = -3*a + 228, 287 = 3*h - 4*a. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 97601, 97578, 97519, 97406, 97221, 96946, 96563, 96054?\n\"Answer: -3*y**3 - 2*y + 97606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of j**6\/120 + j**5\/3 - 5*j**4\/6 + 25*j**3\/6 - 7*j**2. Calculate the lowest common multiple of 66 and l(-21).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 101740.6.\nAnswer: 10174.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 6924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**2 + 1443*c + 244189. Calculate x(-271).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 319 and 841?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v, 1 z, and 1 o when four letters picked without replacement from {o: 8, z: 5, v: 5}.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -146 (base 13) in base 6?\nAnswer: -1015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8106 is divided by 446.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1971 - 1970.9. Which is the third biggest value? (a) x (b) 7\/8 (c) 3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 + 2 = -n - 5*t, -n = t + 7 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 3554?\nAnswer: 3555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b + 13. Let w(z) = -2*z**3 - 13*z**2 - 7*z + 5. Let h be w(-6). Let j = -15 + h. Let a be d(j). Solve -4*o = -a*o + 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -s + 6*f - 5, -4*s + 2 = -5*f for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*a + 4*f + 38, -3*f = -4*a + 24. Suppose -a*v + 12 = -24. What is the smallest common multiple of 4 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*i - 38, 455*i - 451*i - 2*d = 46. Suppose -2*g = -173 + 63. What is the remainder when g is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9 and -1017.\nAnswer: -1008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 31, -17123 in decreasing order.\nAnswer: 31, 3, -3, -17123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2768 and 96?\nAnswer: 16608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) -1086\/11 (b) -3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.19? (a) -2 (b) 0.01 (c) 29 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 30*t - 34*t + 0)*(-96*t + 45*t - 81*t) - 4*t**2 + 5*t**2 - 3*t**2.\nAnswer: 526*t**2 - 132*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -8, -1, 82, 5, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 8:14 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -284, -533, -642, -527, -104, 711?\n\"Answer: 14*f**3 - 14*f**2 - 305*f + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 35b178 - 1?\nAnswer: 35b177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 121600 to the power of 1\/2, to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**3 - 8*j**3 - 7*j**3)*((0 + 2 + 0)*(2 + 0 - 1) - 1 - 3 - 2).\nAnswer: 48*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0304 + 2067.\nAnswer: 2067.0304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 6*t**2 - t - 2. Let f be 0 + 2 - -3*16\/(-6). Calculate w(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09 + 0.7375932.\nAnswer: 0.8275932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*c - 3. Let d(u) = 2*u**2 + 4*u + 3. Suppose -2*y + y - 2 = 0. Calculate the lowest common multiple of d(y) and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -154*z**5 + 3*z**4 + 7*z**3 + z**2 - 49938 wrt z.\nAnswer: -9240*z**2 + 72*z + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 5*1 + -12 + (11 - -4).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 2\/5, 2, 2\/49 in decreasing order.\nAnswer: 2, 2\/5, 2\/49, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q + 5*q - 3*q)*(-4*q - 5*q - 8*q - 9*q - 6509 + 27*q) as t + r*q + s*q**2 and give r.\nAnswer: -6509","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 16*(-9)\/126*7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r + 1. Let u(x) = -x**2 - 292827*x. What is u(n(j))?\nAnswer: -4*j**2 + 585658*j - 292828","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109 + 109 + 11*i.\nAnswer: 11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2955933 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11*-89\nAnswer: -979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of n**5\/60 - n**4\/4 + 5*n**3\/6 - 7*n**2. Calculate u(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 15, p: 3}. What is prob of picking 2 p and 2 o?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 13*r**3 + r**2 + r - 1. Let n be t(1). Suppose -n*k + 13*k + 6 = 0. Calculate the remainder when 26 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 27, 31, 45, 75, 127, 207?\n\"Answer: i**3 - i**2 + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21461 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cipi when four letters picked without replacement from {i: 2, v: 3, c: 1, p: 10}?\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.288 - 0.012. What is the nearest to 1 in w, -9, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hux when three letters picked without replacement from pwxhcuh?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**2 - 6*n + 4. Let p be o(-5). Let f be 42\/8 + 4\/p. Suppose -3*h - 2*b = -87, -126 = -f*h + b + 2*b. Is h a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86832 divided by 8.\nAnswer: -10854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/24)\/((-2)\/(-208)). Let w = -18 + a. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 290.1 and 2.1?\nAnswer: 609.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 2*q + 3. Let b(k) = -2*k**2 + 3*k - 5. Let f(y) = -3*b(y) - 5*t(y). Let m(n) = 8*n**2 - 4*n - 12. Let x(a) = -10*f(a) + m(a). Factor x(h).\nAnswer: -2*(h + 1)*(h + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 4*v + 9. Find the second derivative of 3*d - 5*d + v*d**2 - 10*d**2 wrt d.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.564276 rounded to two dps?\nAnswer: 85.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j + 7*j - 3*j. Let h(k) = 0*k + 2*k - 4*k - 3*k. Let s(z) = 11*z. Let g(i) = 13*h(i) + 6*s(i). Determine g(o(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10094 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -303 + 295. Let h(u) = u**2 + u + 1. Let r(b) = 122*b**3 - 6*b**2 + 8*b + 8. Let z(v) = a*h(v) + r(v). Find the third derivative of z(i) wrt i.\nAnswer: 732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -10, -5, 2379, 2, 0.1, -1, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.3 in -1082, -0.8, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**3 + 5*p**2 + 4*p + 5. Let d be k(-2). Let r(l) = -l**3 + 7*l**2 - 6*l + 7. Let b be r(6). Suppose -4*u = d + b. Which is greater: u or -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3127.\nAnswer: 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -649*y**4 + 118381*y - 515552677 wrt y?\nAnswer: -2596*y**3 + 118381","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-2*-6*(sqrt(1900) + sqrt(1900) + -1)**2 - (2 + ((sqrt(38)*1*6)\/sqrt(2))**2)*-2.\nAnswer: -363476 + 1920*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 74 - -e?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(112) + (sqrt(112) - (sqrt(112) + 1))) - sqrt(112))**2 - ((sqrt(112)*-1)**2 + 0) - ((-1*sqrt(112) + 1)*-5)**2) + -5.\nAnswer: -2826 + 184*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31774947, 31774959, 31774979, 31775007, 31775043, 31775087?\nAnswer: 31775139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*i = 117*i + 580. Calculate the greatest common divisor of i and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -815 divided by 1\nAnswer: -815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nbbn when four letters picked without replacement from nnbnbbbnnz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (15\/2 + -6)*16\/3. Let o be (2\/k)\/(11\/88) - -3. Solve -q - o + 7 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25656135755 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 4 - 3)*(-236*a**2 - 2*a**3 + 232*a**2 - 7*a**3).\nAnswer: 108*a**3 + 48*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y + 27*o = 23*o - 149, 4*y = 2*o - 28 - 70 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0.26, 1\/2, -0.16?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -131*f + 105. What is the tens digit of r(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d**3 + 708*d**2 - 14*d - 7. Let x(f) = 2*f**3 + 472*f**2 - 10*f - 5. Let s(n) = 5*i(n) - 7*x(n). What is b in s(b) = 0?\nAnswer: -236, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-560)\/(-60))\/7)\/(8\/66)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/10*(-200)\/16.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 399 divided by 10\nAnswer: 399\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - u - 1. Let s(r) = 3*r**2 - 6*r - 1. Determine -5*c(f) + s(f).\nAnswer: -2*f**2 - f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jzbzvabs. Give prob of picking 1 a, 2 b, and 1 z.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/282? (a) 0.03 (b) -0.2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*d - 18*d = -10*d - 2545608. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -5*q**2 + 6. Let z(h) = 7*h**2 + h - 7. Let m(j) = 4*d(j) + 3*z(j). Let p(f) = 2*f**2 + 2*f + 4. What is -4*m(s) + 3*p(s)?\nAnswer: 2*s**2 - 6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*w - 4)*(w + 4*w - 3*w) - 2*w**2 + 0 + 0 - 1327008 + 1327008 - 1020*w**2.\nAnswer: -1018*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 45*s - 78. Let l be r(-43). Put -5, l, -1 in ascending order.\nAnswer: -5, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 60 - 44. Suppose l = 3*p + 16. Solve p = k - r, -r = k - 4*k - 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -170 + 17414.\nAnswer: 17244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -32 + (174336\/(-168))\/(-32) - 146\/350\nAnswer: 2\/175","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56.1 - -29.3. Let l = v - -27. Suppose 11*g - 429 = -28*g. Which is the second smallest value? (a) l (b) g (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0\/(-1) + -12 + 18?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 280104.84 and 5514.\nAnswer: 285618.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 0.03 (b) -4 (c) 0.4 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -117 - (12\/(-8))\/(3\/8). Let b be 7\/(-7)*(0 - -10). Let c = b - f. List the prime factors of c.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -6*t**3 - 231*t**2 + 1. Let n(l) = -25*l**3 - 925*l**2 + 4. Give -9*g(o) + 2*n(o).\nAnswer: 4*o**3 + 229*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -148 + 76. Let s = -164 - -246. Let v = w + s. Is v not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 8:55 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/585*-9)\/(3\/195)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**2 - 153*z**3 + 4*z**2 + 2198*z + 144*z**3 - 2198*z.\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kn when two letters picked without replacement from zkkkzkkkkkhkkkkkknh?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3026 is divided by 72?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 11222a (base 14) to base 2\nAnswer: 10001110001000001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25263 + -25264. Sort -2, 3, x, 2, 641 in descending order.\nAnswer: 641, 3, 2, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - r + 4*r + (1 + 1 - 1)*(-r + 0 + 0))*(-r**2 + r**2 + r**4).\nAnswer: 2*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*f - 8 = 19*f, l = -2*f - 9 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 9\/((-9)\/(-2)). Let d be 7821710\/b - (-3)\/6. Let l = -555428 + d. What is l rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 17431.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 12412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73321454 is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c - 28 = -2*s, 5*s + c = -12 + 39 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: a (base 15) to base 2\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 25, 107, 303, 655, 1205, 1995?\n\"Answer: 7*x**3 + 15*x**2 - 12*x + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*41\/(-4)*-2. Let o(x) = -x**2 + 41 - c. Let z(v) = -5*v**2. Give o(z(n)).\nAnswer: -25*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 u, and 1 n when three letters picked without replacement from {s: 1, z: 1, g: 1, n: 1, u: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 144300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -107*o - 1174. Let f be r(-11). Solve -3*d + i = 12, -f*d - 27 = -2*i + 6*i for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 77*l - 5. Let i(d) = -12*d**2. What is p(i(t))?\nAnswer: -924*t**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*d + 180 = 0. Does 23 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1926, -1935, -1958, -2001, -2070?\n\"Answer: -p**3 - p**2 + p - 1925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 21430 (base 5) to base 6\nAnswer: 10522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 24 + 35 + 8*p - 73 as h + m*p and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n = n + 4*p - 22, p + 5 = 5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 - -53. Suppose 0 = 5*b + 3*a - a - h, -3*b - 3*a + 12 = 0. Suppose 3*p - b = 2. Solve 2*m - j = 2*j + 9, -5*m = -p*j - 6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -20, 0.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4207 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: Rearrange -f + 2*f + f + (2*f - f - 2*f)*(3 + 2 - 4) + f + 5*f - 4*f - f + 0*f + 2*f + 6*f + 4*f - 5*f to s + w*f and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239937?\nAnswer: 3, 79979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*j = h - 9, 11 = 4*h + 3*j. Let i be 1\/(2\/4)*(6 - h). Factor -4 + i + 10*m - 8 - 256*m**2 + 54*m.\nAnswer: -4*(8*m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -74 + 116. Is z a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*q + q = 0, -40 = -4*m + 4*q. Let k be (5\/10)\/(m\/2). Sort k, -4, 3 in decreasing order.\nAnswer: 3, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3250 - 3250 - 8*l**3.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22369 + 57792. What is the thousands digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135991, -544640, -1225723, -2179240, -3405191, -4903576, -6674395?\nAnswer: -8717648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.0371 + -0.2071. Let n = 0.17 + g. Let x = -11.99999991 + n. What is x rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15313486?\nAnswer: 2, 37, 206939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + t + 4*t + 450 = 0, -2*q + 5*t + 895 = 0. Suppose 1509 = i + q. Let h = -729 + i. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, -4, 4, -0.541 in increasing order.\nAnswer: -4, -0.541, -0.06, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.05 - -0.25. Let x = -77 + 140. Let l = -63 + x. Which is the closest to -0.3? (a) l (b) 0.5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -47 - 26 - (9 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -9*u**2 + 4*u - 4. Let w(b) = 10*b**2 - 5*b + 5. Let i(c) = -5*h(c) - 4*w(c). Let q(k) = 3*k. Determine q(i(d)).\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -259 + 262. Is (132*-9 - p)\/(-1) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 a when two letters picked without replacement from {a: 4, i: 7, f: 6}.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (17 - 2 - (14 - (-5 + 16))) + -4\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -272 (base 8) in base 15?\nAnswer: -c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a**2 - 60*a + 59. Let w be g(19). What is the fourth smallest value in 4, w, -3, -1\/25?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -14, -19793, -1, -3.\nAnswer: -19793, -14, -3, -1, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -376524034 divided by 8038.\nAnswer: -46843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14438460 = 125*d - 185*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38c960 (base 13) in base 9?\nAnswer: 2517658","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 b, and 1 x when three letters picked without replacement from {v: 3, x: 5, b: 2}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/59449 and -25\/2152?\nAnswer: 475592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 132415 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wwwwwwwwcwww.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/21 (b) -1 (c) 67 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of 5*b**9\/252 + b**5\/6 + 19*b**2. What is the third derivative of p(g) wrt g?\nAnswer: 1200*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 20 = 5*b, 2*m - 3*b = 12 - 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -4*a - 49. Let l be j(-13). What is the first derivative of l*p**2 + 136 + 20*p - 9*p**2 - 2*p**2 - 7 + 4*p**2 wrt p?\nAnswer: -8*p + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -473, 182, 825, 1450, 2051?\nAnswer: 2622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94572804 is divided by 591080?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -7 - ((-4)\/(-14) - (374872\/28 - -2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -2349.\nAnswer: -2349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 356*u + 374*u - 510*u - 215*u.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64)\/(-80) + (-54)\/81?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 9*f - 27*f - 1 + 17*f. Let v(z) = -z + 6. Determine 5*s(o) + v(o).\nAnswer: -6*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -0*j - 128. Let h = -33148\/5663 + -3\/809. Find the common denominator of (1 - 34\/j)*-2 and h.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/16)\/v*v**(-17) assuming v is positive.\nAnswer: v**(-289\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -887.23 - -871. Round m to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b848a3 (base 12) to base 8\nAnswer: -13065773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14 - 2\/(-2 - -3). Find the third derivative of h**5 - 12*h**3 - 3*h**2 + q*h**3 wrt h.\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*m + 12551, -3*m + 16846 = -4*c - 1963. Does 69 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 295, 0.06764, 4?\nAnswer: 0.06764","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 27.\nAnswer: 5\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -142 - -83. Suppose 0 = -4*t - d + 196, 2*d - 247 = -5*t - 2. Suppose 236 = -4*f + 4*g, f + 10 = -2*g - t. Is f at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 6*k**4 + 0*k + 32*k**3 + 240 + 3\/10*k**5 + 0*k**2. Factor u(r).\nAnswer: 3*r**2*(r + 8)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4\/13 + 88*r**3\/13 - 170*r**2\/13 + 84*r\/13.\nAnswer: -2*r*(r - 42)*(r - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 318 + 1?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -961*g + 126 = -955*g. Suppose 2*n + n - 237 = -3*y, 2*y = 4*n + 188. Calculate the highest common factor of y and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*t + 3*t + 3*t as k*t + l and give k.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 43*n + 66*n + 311*n - 2*n + 223*n.\nAnswer: 641*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 10:41 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 25811 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 4, 4\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 15*m + 10*m - m - 4*m**2 + 8*m - 64 = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 376*h**3 - h**2 + 122*h - 1174. Is c(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 2 - (42 + -11)) + 45.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276017 is divided by 748.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 171524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 9, o: 3, e: 1, r: 1}. What is prob of sequence eoy?\nAnswer: 9\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 404 divided by -1995\nAnswer: -404\/1995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 5*z - 16. Let j(h) = -5*h + 8. Let v(i) = 19*i - 31. Let x(l) = -9*j(l) - 2*v(l). Is x(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 191701048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6861 + 6774 - (-46 - 1).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (85 + 72*o - 44 - 39)*(-5*o - 2*o**2 + 2*o + 2*o).\nAnswer: -144*o**3 - 76*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*t**2 - t**2 - 3*t**2)*(-2 - 2 + 5) + t + t**2 - t + 12*t - 12*t - 25*t**2)*(5 + 13 - 4)*(-3 + 2*t + 3).\nAnswer: -728*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3206509?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8447 + 1?\nAnswer: -8446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6244 + -18734\/3. Which is the third smallest value? (a) l (b) 4 (c) 2\/9 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 k when four letters picked without replacement from ekpepxpvpkpvevpe.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**2 - 1 + 1 + (0 - 3 + 1)*(-2*x**2 + x**2 - x**2) + (-40 - 6*x + 40)*(9 - 41 - 32)*(-x + 0*x - 2*x).\nAnswer: -1149*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 9. Which is the nearest to 0.1? (a) h (b) -0.3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 258 and 60.\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 441*v**4\/26 - 34132*v**3\/13 + 4873*v**2\/13 - 232*v\/13 + 3464. Suppose q(h) = 0. Calculate h.\nAnswer: 1\/21, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o*t**2 - 3*o*t*x**2 + 64*o*x**2 - 587*o*x - 2*t**2*x**2 - 3*t**2 + 35*t*x**2 + 32*x wrt x.\nAnswer: -6*o*t + 128*o - 4*t**2 + 70*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 5, 2846 in descending order.\nAnswer: 2846, 5, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -2. Let v(f) = -f - 5. Let x be v(0). Put x, b, -6 in decreasing order.\nAnswer: b, x, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + -1. Let i = 167 - 1501\/9. What is the nearest to i in w, -5\/4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -t**4\/4 - t**3 - 3*t**2\/2 - 3*t - 7. Let p be y(-2). Which is the second biggest value? (a) p (b) 2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1568565 and -1665?\nAnswer: 1566900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -31*q**2. Let j(a) be the second derivative of -8*a**3\/3 - 5*a - 91. Give l(j(x)).\nAnswer: -7936*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 21*b**2 - 5. What is the tens digit of j(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 5 = -2*k. Let b be 0 + k + 1 + 2. What is the second derivative of -2*r**3 + 2*r + r**3 + b*r**3 wrt r?\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (11 - 17 - (-6 - -13 - -9))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.96 + 11.00852. Round o to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 26.795244 months?\nAnswer: 0.2232937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -701*v = -2563*v + 113582 for v.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 12 = 7*d. Let h(t) = 0*t**d + 5*t - t**3 + 5*t**3 - 10 + 9*t**2 - 6*t**3. List the prime factors of h(4).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (0 - (0 - 3)) + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2046)\/(-5)*(-8)\/((-384)\/120) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/1470*-114 - (-2)\/(-5).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -l**4\/6 + 8*l**2 + 26*l. Let t(z) = -7*z**2 + 65. Let k(g) = 18*s(g) - 4*t(g). Differentiate k(y) wrt y.\nAnswer: -16*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -20, -19 in ascending order.\nAnswer: -20, -19, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ycccgcvvb. Give prob of picking 1 v, 1 g, and 1 b.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3 = 2*i - 33, -90 = -2*y + 5*i. Is y a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 541795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 174.87 - 281.6. Let k = z - -105. Let f = k + -0.07. What is f rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7072 + -38?\nAnswer: -70aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 8*n**2 - 13*n + 5. Determine b(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40*u**3 + 287*u**5 - 207*u**5 + 1941 - 27*u**4 + u**2 - 82*u**5 - 9*u**4 wrt u.\nAnswer: -120*u**2 - 864*u + 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*t**3 - 90*t**3 + 51*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, d: 2, e: 1, k: 6, l: 5}. Give prob of sequence ll.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f + 2. Let h(p) = -39*p - 4. Let q(v) = -h(v) - 6*t(v). What is the derivative of q(z) wrt z?\nAnswer: 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-57)\/6)\/((-58)\/(-45 + -71)) + (-14)\/(-2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u - 3. Let n(p) = p. Let q(y) = -3*y + 10. Let o(b) = 4*n(b) + q(b). Let c be o(-15). Determine a(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -9*m + 30 + 26393*m**2 + 9*m - 26392*m**2. Determine t(7).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -76*y + 49*y + 1134. Solve -45*f + y*f = -15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-15)*10\/22.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 18 = 223*a - 226*a, 4*s = -a - 6 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-5)*2)\/(898\/2245)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003453765692 rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 408 - 168 = -5*r. Let x be -3 + 5\/((-70)\/r). Let z be 4\/10 - (-2)\/(-5). Which is smaller: z or x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2, 1\/52, -0.2.\nAnswer: -2, -0.2, 1\/52, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-18)\/2 - (-86)\/(-16).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 1095*f**3 - 4*f**2 + 167*f - 508. What are the prime factors of j(3)?\nAnswer: 2, 29, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 s when two letters picked without replacement from {p: 1, a: 6, o: 2, y: 1, s: 2}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84663*n = 84353*n + 5270 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 85, 130?\nAnswer: 175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2. Suppose 4*d + 9 + 16 = -5*j, 0 = 5*j - 5*d - 20. Let g(s) = -68*s**2 + 2*s. Let w(c) = j*g(c) + 5*n(c). What is the tens digit of w(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h**2*n*z + 32*h**2*z - 14*h**2 + 2*h*n - 209*h - n - 2*z wrt h.\nAnswer: -4*n*z + 64*z - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -6*z**2 + 2. Let t(b) = b**2 - 1. Let r(v) = -s(v) - 3*t(v). Let f be r(3). Let k = -17 + f. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*l + 1540 - 1491 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 88235.217 microseconds in weeks?\nAnswer: 0.0000001458915625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -267.0969 * -3.\nAnswer: 801.2907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*f + 0*f + 5*f)*(313*f + 278*f - 14*f + 313*f) + f**2 + f**2 + 0*f**2 + (-f + 0 + 0)*(-4*f + 2*f + f) as w*f + n*f**2 + a and give n.\nAnswer: 1783","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2 - 115*o**2 + 3*o + 336*o**2 - 47*o**3 - 111*o**2 - 109*o**2. Let t be p(-1). Which is smaller: t or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 22 = 4*v - 0*p, 4*p = -3*v - 19 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*g + 70 - 18*g + 51*g)*(0*g**4 + g**4 - 6*g**4).\nAnswer: -50*g**5 - 350*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 5*r**2 - 60*r - 43. Let n be k(11). Solve 22*l = n*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -418, -1021, -1984, -3427, -5470, -8233, -11836?\nAnswer: -16399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1040244 less than -0.3?\nAnswer: -1040244.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2551 (base 10) to base 16\nAnswer: -9f7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 0, 1, 40.\nAnswer: 0, 1, 16, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1403 + 2549. Is 20 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + x - 3019 = -5*w, 5*w + 3*x - 3772 = 0. List the prime factors of w.\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39*f + 39*f + 33*f**3)*(-2 - 2 + 1)*(-3*f + 0*f + 2*f).\nAnswer: 99*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6313?\nAnswer: 59, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 25 = 11*b. Let o(q) be the third derivative of q**4\/24 - 7*q**3\/6 - 2*q**2. Calculate o(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a century in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -1040.242.\nAnswer: -5201.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v - 3*v + 3*v + (3 - v - 3)*(2 - 1 - 3) + 191*v + 0*v - 401*v + (-1 - v + 1)*(0 - 2 + 0).\nAnswer: -204*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 6 = -2*v + 4*c, -2*c = v - 9. Suppose -2*k = 2*t - 0*t - 16, 2*t = -v*k + 11. What is the remainder when 37 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of g**6\/6 - 5*g**3\/2 - 16*g**2. What is the derivative of a(l) wrt l?\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**5 + 4*j**5 + 0*j**5 + (-2*j**2 - 2*j**4 + 2*j**2)*(-j + 0*j + 3*j) + (6 - 2 - 2)*(-j**2 + j**5 + j**2) + 3*j**5 - 3*j**5 - j**5.\nAnswer: -2*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 - -30. Suppose 6*q - 8*q = -5*n - 29, -4*n + 100 = v*q. Solve 0 = -c - 5*o - q, 7 - 21 = 5*c + o for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 874138 and 874138?\nAnswer: 874138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1732)\/(-4) + -3)\/((-2)\/(-2))?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -9*m - 7. Let u(y) be the third derivative of -7*y**4\/12 - 11*y**3\/6 - 1256*y**2. Determine 8*l(n) - 5*u(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3507 (base 10) to base 16\nAnswer: -db3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -5*r + 20. Let k(d) = d**2 + 1008. What is p(k(z))?\nAnswer: -5*z**2 - 5020","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5212*b**2*c - 5*b**2 + 2*b*c - 12*b - 176*c wrt b?\nAnswer: -10424*c - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 487.114893 rounded to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1640*f**4*q + 80125*f**4 - 605456*f**2*q - 2*f**2 wrt f.\nAnswer: -39360*f*q + 1923000*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k + j + 43, -14 = 3*k + 500*j - 510*j for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -4 - (3 + -9).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000011001001011 + -100?\nAnswer: -11000011001001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5734 (base 10) in base 8?\nAnswer: -13146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 - -1019?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 211 and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - p - 4 - 1, -5*r + p = -11. Suppose 0 = -y - 4, 3*y = r*j - 924 - 20. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.004 + 63.996. Let l = 2540731 - 2540667.00018. Let y = b - l. Round y to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*v - 126 = -224*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 538 and 21251.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (787*m**2 + 1 + 1148*m**2 - 2185*m**2)*(2 - 1 + 0)*(0*m**2 + 4*m**2 - 2*m**2).\nAnswer: -500*m**4 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 5:14 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36292*f = -2*y - 36232*f - 308, -2*f = 2*y - 2 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.5, -4\/7, 48.538, -0.2, 5, 6\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37789?\nAnswer: 23, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/(s\/(s\/(s*((s\/s**(1\/3))\/s)\/s*s*s)))*s**(-2)*((s**(-1)*s)\/s)\/((s**(-5\/3)\/s)\/s) assuming s is positive.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*a + 2*x + 28 = -122*a, 5*x = -2*a - 31 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 i when two letters picked without replacement from wwuwviovwhowv.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -7*v**2 + 9*v + 9. Suppose d + 3*x = 15, -19 = -3*d + 2*x + 4. Let w(f) = 3*f**2 - 4*f - 4. What is d*w(a) + 4*r(a)?\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -6, m + 4*m = 3*z + 876. Suppose 4*r - m = 66. Suppose 3*v + 3*f - 90 = -42, f = -2*v + 30. Calculate the lowest common multiple of v and r.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25421 - -51?\nAnswer: -25340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2 + 7. Suppose g*w + 0*w = 0. Solve w = -2*k - 0*k + 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - o - 183, 2*v = -3*o - 245 + 596. Calculate the remainder when v is divided by 31.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -139*y**6 - 2*y**2 + 57?\nAnswer: -16680*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1.6 (b) -0.3 (c) -79 (d) -51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/390 + 62\/130?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -9281 (base 12) to base 5\nAnswer: -1002222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -g + 4*o, -2*o = -2*g - 4*o + 32. Suppose -8*h + 55 = -3*h. What is the greatest common factor of g and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64975237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -197 + 107. Let q = -32 + b. Let h = -121.99999949 - q. Round h to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n + 3. Suppose 4*r - 24 - 8 = 0. Let q be r\/(-6) + 104\/24. Calculate y(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 640612730 to the power of 1\/2, to the nearest integer?\nAnswer: 25310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.596 and 1225.7305.\nAnswer: 1226.3265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x + 29 = -6 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (300\/175)\/(9\/42)*-1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40 - 63. Let j = 27849\/5 + -5549. Let n = s + j. What is the common denominator of n and 13\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15086, 47760, 0.2.\nAnswer: 0.2, 15086, 47760","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352*q**3 - 6928*q**2 + 21014*q - 17444 = 0.\nAnswer: 7\/4, 178\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -2\/17, 5, -1\/17 in increasing order.\nAnswer: -3\/5, -2\/17, -1\/17, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1064054 - v**3 + v**3 - 3*v**3 + 1064059 - 2128179 + v**3.\nAnswer: -2*v**3 - 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 8*l + 7. Let d be w(-7). Solve -b - 4*x + 15 = d, 0*b - 2*b + 10 = 4*x for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28782419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3566339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 343 and 17546851.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n*n*n**(2\/17)\/n*(n**(-25)*n)\/n assuming n is positive.\nAnswer: n**(-389\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 12 = -5*d. Suppose -5*c = -d*c. Suppose 8*q - 3*q - 165 = c. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -571156, -2284676, -5140558, -9138802, -14279408, -20562376, -27987706?\nAnswer: -36555398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 126*n**2 - n + 2. Is k(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/4)\/(8\/16). Which is smaller: 6\/5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51419\/6 - 8595. Calculate the common denominator of -61\/22 and m.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20444887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.438588598 and 0.1.\nAnswer: -0.1438588598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 846454 - 282132 + 11*t - 282127 - 282195.\nAnswer: 11*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1295)\/(-70) - (-64)\/(-4).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -35.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 660.3 + -658.3. Which is the closest to -2\/119? (a) 1\/9 (b) g (c) -3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -4919 (b) -3 (c) 0 (d) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 41303946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 p when four letters picked without replacement from {w: 15, p: 5}?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22637\/6 - -3756. Find the common denominator of g and -83\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -560*c + 43662. Calculate u(78).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 8.895634 centuries?\nAnswer: 889.5634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, d: 1, t: 1}. Give prob of sequence mm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2673523 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 s when three letters picked without replacement from {s: 3, f: 4, o: 11}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of n**6\/120 + 5*n**4\/24 - n**3 - 5. Let q(d) be the third derivative of z(d). Differentiate q(b) wrt b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*s**4 - 68112*s**3 + 18260396*s**2 + 21149952*s + 2821392 = 0.\nAnswer: -1, -2\/13, 378, 933","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6322, -6296, -6272, -6250, -6230?\nAnswer: -6212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.13, 7, -17, -1\/5?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - o = -1, 0 = -c + o - 4*o + 3. Suppose 15 = 54*b + 69. What is the units digit of b*((-180 - c) + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9133*q**2 - 1837.\nAnswer: 18266*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3865690 to the nearest integer?\nAnswer: 1966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhkhkhkk. Give prob of picking 3 h.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -128*a**2 + 67*a + 5. Let l(p) = -85*p**2 + 45*p + 3. Suppose 23 = 8*y - 41. Let i(k) = y*l(k) - 5*t(k). Find the second derivative of i(x) wrt x.\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 383754659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -3*y**6\/10 - 7*y**5\/15 + y**4\/3 - 9*y**2 + 2*y - 104. Let p(v) be the second derivative of f(v). Solve p(k) = 0 for k.\nAnswer: -1, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91960 a multiple of 190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -72 in -2, -5, -14598\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/23406 and -53\/564.\nAnswer: 46812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1082442199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**2 + 810*g - 809 = 0.\nAnswer: 1, 809","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 2*y + 5*v - 19, 5*v = y + 14 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 5 - 9 - 9.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 5*j + 6. Let x be m(-4). Solve x*l = 2*i - 2, -3*i + 3*l + 6 = -l for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.963134 centimeters?\nAnswer: 9631.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52431?\nAnswer: 3, 17477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w + 1. Let y(j) = -7*j + j + j - 10. Let i(s) = -6*t(s) - y(s). Let l be i(-6). Solve -4*c + 0*c = 2*r - 14, -2*r = -4*c + l for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-14) - 105905\/12565\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 469977 and -5.\nAnswer: -2349885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 135, 141, 149, 159, 171, 185, 201?\n\"Answer: w**2 + 3*w + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 9. Suppose -5*s - h*w = 290, -s - w - 2*w - 70 = 0. Calculate the common denominator of (0 - -1) + s\/6 and -31\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -114*u**3 - u**3 - 132*u**3 - u**3 + 4*u**3 - 5*u**3 + (2*u**2 + 0*u + 0*u)*(0 + 0 + 2*u) - 8*u**3 + 13*u**3 - 15*u**3.\nAnswer: -255*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -5*r**3 - 35*r**2 - 595*r - 3399. Determine i(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/603424 and 93\/520384.\nAnswer: 56721856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -68760594*m + 107817680 wrt m?\nAnswer: -68760594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sgg when three letters picked without replacement from {s: 1, g: 3, x: 1, a: 1, c: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 11*y - 9. Let l be s(8). Suppose -1 + l = w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-7)*322\/506.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -0.4 (b) -2\/13 (c) -0.6 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, d: 1, n: 5, z: 1, e: 3}. What is prob of sequence adz?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 3:56 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -41.8358 to 0 decimal places.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -77.938 to 1 dp.\nAnswer: -77.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.747 and -12?\nAnswer: 13.747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 308, 323, 338, 353?\n\"Answer: 15*n + 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002011 to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180 - -31 - (213 + -300).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 30*m**2 + 8*m + 3. Let s be l(-3). Let p = -2337 + s. What are the prime factors of (-2)\/(-7) - p\/42?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j + 4. Let l(c) = 0*c - 2*c - c + 2*c - 2. Let x be l(-7). Suppose 0 = x*r + 10 + 10. Calculate s(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 110693 + -110690. Let s = -110 - -287. What is the highest common divisor of o and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.115932 times 0.4?\nAnswer: 2.4463728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -7*a + 233. Let k be n(23). Let x = 3\/29 + 358\/1305. Find the common denominator of x and ((-81)\/(-9))\/(-36) - (-610)\/k.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -3 - (-20 + 7 + 17 + 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 258283, -0.3, -5, 5?\nAnswer: 258283","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -989000 to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/15 of a day?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 14. Let s = u + 15. Let o = 3 + -3. Which is the biggest value? (a) s (b) o (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -26 + 31 - (-69)\/(-9). Let h be (-1)\/(-3) + (-10)\/3. Are h and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(-40)*-22 + (-3)\/5. Suppose 3*u - 4*u = 33. Is 10\/55 - 494*d\/u a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s - 2*v + 31 = -s, -4*s = -v - 17 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -15460412 (base 7) to base 2\nAnswer: -101101100101001111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q + 13004*q**2 - 13004*q**2 - 28*q**3 - 136*q**3.\nAnswer: -164*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 90734630?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -89 - -24. Let r = 61 + t. Let u = -0.2 - -0.4. Which is the third smallest value? (a) r (b) 2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**4*q - 2*i**4 - 3*i**3*q + 124*i**3 - 2*i**2 - 6*i + 2*q wrt i.\nAnswer: 48*i*q - 48*i - 18*q + 744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 147299953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -c**6\/60 + c**5\/5 - 17*c**4\/8 + c**2 - 3*c. Find the second derivative of i(u) wrt u.\nAnswer: -12*u + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 260063 (base 9) to base 14.\nAnswer: 41597","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + l - 1. Suppose -2*f - 2 = -2*h, h = -3*h - 4*f + 4. Let b(i) = 2*i - 1. Let j be b(h). Give q(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -56558 and 0.12569.\nAnswer: -7108.77502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 28387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8142131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Let i(w) = -w**2 + 6*w + 5. Determine i(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/(f*f*f*f**(2\/5))))**(-17\/6)*f**(-3\/11)*((f**(-3)\/f)\/f)\/f assuming f is positive.\nAnswer: f**(-3092\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = -4*j + 15 - 147. Let a be (-116)\/(-6)*(1 - -2). Let d = a + j. Sort 0, d, 6 in descending order.\nAnswer: 6, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 267158*t - 267169*t + t**2 - 3 - 2. Give j(10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3684 a factor of 3282491892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/4 of a decade?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i**2 + 0 - 2*i**2 + 0 + 4*i in the form f + t*i**2 + x*i and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (-15)\/(825\/(-704)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - -1)\/((-2)\/16). Let o be ((-6)\/(-10))\/(d\/10). Put o, -1\/9, 1\/9 in descending order.\nAnswer: 1\/9, -1\/9, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -6*w**2 + w + 2. Let f be x(-1). Let b(z) = -z**2 - 8*z - 12. What is the units digit of b(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 6*x**2 + 14*x + 10. Let a(z) = 3 + 3*z**2 - 1 + 8 + 13*z + 2*z**2. Let d(m) = 7*a(m) - 6*l(m). What is the tens digit of d(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 101 and 2756896?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/(-28))\/(2\/(-14)). Let r(v) = 3*v**2 - 4*v**2 + 0*v**z. Let u(j) = 9*j. Calculate u(r(p)).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y**2 - 1. Let k be a(-1). Solve -k*x - x = 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 m when two letters picked without replacement from {l: 4, m: 5, z: 8}?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -409 + 716. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 49*i - 10. Let v be r(2). Suppose -5*q + v = 18. What is the greatest common divisor of 63 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5873 + 1310?\nAnswer: 7183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -619 - -2429\/4. Let l be (-3*(-4)\/(-12))\/(6\/4622). Let x = 756 + l. Calculate the common denominator of x and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3218, 20, 3, 7, 0.\nAnswer: -2, 0, 3, 7, 20, 3218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 289 and 1576481128.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -120859013674 - 0?\nAnswer: -120859013674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6783 = -p - 26*k + 22*k, -2*k = -5*p + 33959. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -825 in -3\/7, -2, 2\/5, 5, 5\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2925, -11612, -26115, -46452, -72641, -104700, -142647, -186500?\nAnswer: -236277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100010111 (base 2) to base 8.\nAnswer: -2427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37157080855168 less than -2?\nAnswer: -37157080855170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222892?\nAnswer: 2, 103, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -1, -9182, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-11)\/((b*b\/(b\/b**(-3)))\/b))\/(b**(1\/8)\/((b**(-6)*b)\/b)) assuming b is positive.\nAnswer: b**(-113\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5*4\/(-200)*1528\/(-1146)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1.3 (b) 4 (c) 365 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.1 (b) 3 (c) -5 (d) -2\/13 (e) -8725\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d + 12. Let b(k) = k - 1. Calculate 6*b(q) + s(q).\nAnswer: q + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 220.9761 - 221. Let n = -0.027 - j. What is n rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.188 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**3 + 88*u**2 + 83*u - 127. What is m(-43)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 309745 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13\/5 in 2\/9, 2.1, -5, -109, 4?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2048 + 0*p + 3*p - 856 - 821 + 3725.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 8) to base 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 81, 2\/869, 2\/15, 154 in decreasing order.\nAnswer: 154, 81, 0.4, 2\/15, 2\/869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13739879873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/3)\/(8\/12). Let o = 1\/77 - -3\/11. What is the closest to o in p, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 3*f - 26632 = -w, -3*f = 5*w - 19991. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -3*f**2\/7 - 17715*f\/7 - 4322250\/7 = 0.\nAnswer: -5650, -255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41f (base 16) to base 6.\nAnswer: -4515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence peq when three letters picked without replacement from kpkvewq?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 23336603 divided by -1\nAnswer: -23336603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -22 + 36 - 8\/(-1*2). What are the prime factors of -4*(-22)\/16*r?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1 - -6 - ((-1178 - 7) + -23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -284582619.30000058 + 284582623. Let b = 3.7 - d. What is b rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 7:40 PM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2066596 rounded to the nearest ten thousand?\nAnswer: -2070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ljjrjjxdjjjjrtrx. What is prob of sequence lxdx?\nAnswer: 1\/21840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 + 8604*r + 6169068.\nAnswer: 3*(r + 1434)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20557 - -616651\/30. Calculate the common denominator of r and 109\/(-30) - 8\/40.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*n = 69 - 537. Suppose o = -3*s + 2*s + n, 4*o + 80 = 4*s. What is the highest common divisor of s and 513?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 + 32. Suppose o = -5*q + q + 4, 0 = 3*y - 3*q - 72. Let n(w) = 3*w**2 - 7*w - 3. Let s be n(3). Sort -5, y, s.\nAnswer: -5, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.8819 rounded to 1 decimal place?\nAnswer: 28.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1540 divided by 308.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 106.2?\nAnswer: -212.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.305673 millilitres?\nAnswer: 0.005305673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*q - 5*x - 105 = 0, 5*q + x = 330. Let r = q - 56. Let o be 8 + 1 + (0 - 0). What is the highest common factor of o and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248640 is divided by 58.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.3 - -6.3. Let t be 2\/(-3)*(-348)\/(-58). Which is the fourth smallest value? (a) q (b) -2\/9 (c) t (d) 1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (0 - 1) - (2 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, w: 1, r: 2, x: 3, i: 2, j: 3}. What is prob of sequence tjj?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4768091.89723146 + -0.10276854. Let w = b - -4768091.92499939. Let z = 0.075 + w. Round z to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -5*d + 33, 4*d - 445*f = -447*f + 28 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y + 22 = -10. What is the biggest value in 1, -1, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -13*k - 12. Let i(u) = 7*u + 5. Let v(s) = 3*f(s) + 7*i(s). Let h(l) = -8*l**2. Calculate h(v(t)).\nAnswer: -800*t**2 + 160*t - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, z: 3, x: 4, w: 2, v: 2}. Give prob of sequence iz.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -14, -2\/3, 33, -2?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473753 is divided by 523.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x - 4*x**2 + 3*x + 0*x - x**4 - 3*x**2 to c + l*x**4 + p*x**2 + b*x + q*x**3 and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 49, -0.1, -3\/44?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 23117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -333*o + 513*o - 245*o + 131*o**2.\nAnswer: 131*o**2 - 65*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 0 + 19*i**3 + 62\/3*i**2 + 10\/3*i**4 = 0. What is i?\nAnswer: -4, -2, 0, 3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -161, 50, 88 in ascending order.\nAnswer: -161, 50, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -h**4\/12 + 4*h**3\/3 + 7*h**2\/2 + 7*h. Is v(7) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -103 + 600. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 14) in base 10?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 3*k**2 - 9*k - 5. Let a be u(5). Suppose a = 4*h + 1 - 21. Suppose -s = h*s - 30. Solve 2*q + 23 = s*c + 3*q, -c - 4*q = 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 2. Suppose -4*m + b*m + 4 = 0. Let r = 5\/6 + -1. Which is smaller: r or m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3.6, -2\/2399, -0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(-40) + 3 + 3\/(-8). Let t = 32.7 + -33. What is the second biggest value in 3, 0.2, v, t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 34. Let g be 6 - (m + -15)\/(1\/(-4)). List the prime factors of 331\/3 - g\/6.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 85\/34*(-4)\/(-5). Let i(l) = 775000*l**2 + 3*l - 6. Let v be i(n). Round v to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 1. Let m(v) = v + 2. Let j be (-4)\/((-8)\/(-6)) - -1. Let c be m(j). Solve -3*x - u + 0 = c for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - 5*j - 19 - 9, 0 = 4*n - j - 9 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 38, 4, 2, 17, 3 in decreasing order.\nAnswer: 38, 17, 4, 3, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 4*t**3 + 564*t**2 + 1080*t - 4448 = 0.\nAnswer: -139, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -161171 + 596230. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -48*g - 11. Let s be f(-1). Solve s - 25 = 12*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 0. Let g be (6\/8)\/((-7)\/28). Let d = g - -2. Sort -3, d, a in decreasing order.\nAnswer: a, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of r**6\/120 - r**5\/20 - 7*r**4\/24 + 5*r**3\/6 + r**2. Let a(i) = -1 + 2 - i - i + 3*i. Let m be a(3). What is y(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2. Let y = -43 + 43. Let d(q) be the first derivative of -1\/2*q**2 + y*q + 1. Give d(h(x)).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, d: 2, x: 3}. What is prob of picking 1 j and 2 x?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 8*v - 1119 = -1110, z + 3*v - 12 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 709817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-21)\/7 - (-2 - (-1821)\/(-21)). What is the second smallest value in l, -3, -5, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 161822*o**3 - 226623*o**2.\nAnswer: 970932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45011 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 72643 to the power of 1\/2, to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-3*(sqrt(28)\/sqrt(4))**2.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 3:16 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 2*v + 3 + 4*v + 2*v - v + v - 3*v + 4*v + (-1 + 4 - 2)*(2*v + 0*v - v) + v + 2*v - v - 3*v - 2*v + 8*v in the form d*v + k and give d.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o + 428. Let r(b) = 11*b + 866. Calculate -5*g(p) + 2*r(p).\nAnswer: 2*p - 408","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -0 - 3. Let n be (-4 - w) + (0 - -17). Does 6 divide (-27)\/12*n\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + c + 101 = 0, 7*b - 2*b - 2*c = 254. Calculate the remainder when b is divided by (0 - -6)\/3*7.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1986545, 1986537, 1986527, 1986515, 1986501?\n\"Answer: -h**2 - 5*h + 1986551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 28923146 to the power of 1\/3, to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 443 + -290. Does 17 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c - 22 = 11. Sort 7, 5, 0, c in increasing order.\nAnswer: c, 0, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40110 divided by 13370?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -312 - -312. Let k be 0 - (-1)\/(10\/8). Which is the biggest value? (a) n (b) k (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttototoottooo. Give prob of sequence ooo.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 93995 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m**5 + 68*m**4 + 12*m**3 - 112*m**2 - 18*m + 44 = 0.\nAnswer: -11, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 31769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0819832 weeks to nanoseconds.\nAnswer: 49583439360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38983 - -40126. What is the greatest common divisor of h and 2159?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**5 + 6*h**5 + 4*h**5 + (-h**3 + 4 - 4)*(2*h - h**2 - 2*h) - 6*h**5 + 3*h**5 + 2*h**5.\nAnswer: 10*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21160623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and (64\/(-40))\/((-2)\/5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 270 = 5*h, -3*h + 0*s + 2*s + 177 = 0. Let b = 67 - h. Solve b*r = 6*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*h**2 - 5*h**2 + 12*h**2)*(1 + 0 - 5)*(1 + h - 1).\nAnswer: 32*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -19*v**3 - v - v**2 + 2*v + 1 + 0. Let b be m(-1). Calculate the highest common factor of b and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50777.8 millilitres to litres.\nAnswer: 50.7778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12549*u - 1044*u + 2049*u.\nAnswer: 13554*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11504, 23121, 34696, 46223, 57696, 69109, 80456?\nAnswer: 91731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ok when two letters picked without replacement from okokokkoooooooko?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of 23*w**5\/20 + 13*w**4\/8 - 3*w**2 - 9*w. What is the second derivative of g(f) wrt f?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253*v + 94*v - 85*v + 5*v - 445*v.\nAnswer: -684*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 110233, 110290, 110347, 110404, 110461, 110518?\nAnswer: 110575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-4)*6790\/21. Let t = 656 + i. Calculate the highest common divisor of 18 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express x**3 - 2*x**3 + 4*x**3 + (0*x - 2*x + 4*x)*(5*x**2 - 3*x**2 - 3*x**2) + 50*x - 50*x + 12*x**3 as m + o*x**3 + j*x + n*x**2 and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -13. Let x be ((-2)\/26)\/(6 + i). Which is greater: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7170708*-15\nAnswer: 107560620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(170)*-4 + 6*sqrt(170)*-1)\/((sqrt(100)\/(-2*sqrt(10)) + 6*sqrt(30)\/sqrt(3))*3))**2*-1.\nAnswer: -272\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2264615 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - u - 6 + 2 = 0, -4*s = -2*u + 4. Let o = 4 + -6. What is the nearest to s in o, -2\/5, -1\/6?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1953 + 1974. Let s(a) = -a**2 - 4*a + 4. Let b be s(-4). Suppose b*n = 5*n. Solve n = -3*f + x + 11, 3*f = x + 2*x + y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 42320385?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of j**7\/210 + 31*j**6\/360 + 4*j**5\/9 + j**4\/18 - 8*j**3\/3 - 62*j**2 + 16. Let b(s) = 0. What is s?\nAnswer: -6, -4, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d - 2. Suppose 47 = 5*t + 2*j - 38, -2*t = 3*j - 23. Let i = 21 - t. Calculate h(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24364332 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lc when two letters picked without replacement from {u: 1, l: 1, c: 3, z: 6, q: 1}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from hvvvvvvvvvvvvhvvvv?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 4*p - c - 4436, -4*p + 4456 = 4*c. Suppose 2*t + 4*t - p = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547.5 rounded to the nearest 10?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1005.292 weeks to nanoseconds.\nAnswer: 608000601600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15402274 is divided by 30.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/25 of a week?\nAnswer: 72576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -64 + 62. Let k be 12\/8 - (7 + b - 2). Which is smaller: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2460373*g + 1399505?\nAnswer: -2460373","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*f + 101 = -87*f - 5*n, -3*f = 2*n + 22 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1416)\/(-10))\/(2037\/159565)?\nAnswer: 2, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3927 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-3 - -5) + (-3 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*m - 772 + 150 = 50 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40120\/(-330990)*-6*(85\/(-18) - 4\/(-18))?\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence geem when four letters picked without replacement from {m: 1, h: 7, g: 3, f: 4, e: 2}.\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i - 6 + 2 - i**2 - 3*i. Suppose 3*f = 4*j + 2*f - 24, -3*f - 7 = j. Suppose -c - j + 2 = 0. Give a(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 165 + -149. Solve 2*i + 4*z + g = 0, -1 = 3*i - 4*z - 17 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(6\/11))**8 assuming j is positive.\nAnswer: j**(48\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - p - 3. Let y be j(4). Let w = -4 + y. Let b = 6 - w. Solve -2 - b = -3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**4 + 252*v**3 - 783*v**2 = 0. What is v?\nAnswer: -87, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 + -29.9. Let k be (0 + 2)\/(-40 - -46). Which is the nearest to -1\/3? (a) 1 (b) -0.7 (c) i (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -98 - 10*(-12)\/(-30). Let q be ((-68)\/h)\/(1\/3). What is x in 0 - 10\/7*x**q + 0*x - 2\/7*x**3 = 0?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 30*s**2 + 44. Calculate d(-30).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.08 + 3.0998. Let s = -4.0198 + i. Which is the second biggest value? (a) -1\/8 (b) -0.4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -61 + 2*c + 20*c - 23*c in the form v*c + n and give n.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 851864395 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 + (7 - 3) + -4. Suppose -2*s + 3*p - 3 = 2, -2*p = -q. Solve 4 = s*x - 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 95.24\nAnswer: -190.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-80)\/(-75) - (-4)\/(-10). What is the second biggest value in -4, -0.5, s?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 7:48 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1459.9993976 - 1460. What is q rounded to 5 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 91 + -18. Suppose 2*t + i = 59. Let n = 36 + t. Calculate the highest common factor of n and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3596880?\nAnswer: 2, 3, 5, 7, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + 3. Suppose -3*b + u = -8. What is the least common multiple of b and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35570418 and 16.\nAnswer: 284563344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24579959*i**4 + 2*i**2 - 6*i - 58224893 wrt i?\nAnswer: -294959508*i**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57436 and 1577.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -4, 1845, 4 in ascending order.\nAnswer: -4, 1, 3, 4, 1845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d = -8*d - 36. Suppose 0 = -3*p, -2*o = 3*o + 3*p + 50. Let b = 2 - o. Calculate the greatest common factor of d and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -0*s + 5*t, t = 3. Suppose -s*w + 8*w - 45 = 0. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5327*g**3*t - 2*g**3 - 322*g*t - 2333234*t + 5 wrt g?\nAnswer: -15981*g**2*t - 6*g**2 - 322*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 52493.63nm in kilometers?\nAnswer: 0.00000005249363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 8:56 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 16 - 31 = 0. Let m(y) be the second derivative of 1\/80*y**n + 0 - 1\/168*y**7 + 3*y + 1\/48*y**4 - 1\/120*y**6 + 0*y**3 + 0*y**2. Factor m(f).\nAnswer: -f**2*(f - 1)*(f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76140 is divided by 18933.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 2:21 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2568 - -65666?\nAnswer: 68234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13110033 + 1000310?\nAnswer: -12103123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-91)\/(-65) - 2108\/1420. Is -1 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62335 is divided by 20759?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -303 + 2430c?\nAnswer: 24009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24380)\/2415 + (0 - -10).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 1082*u**2 - 29236*u + 628. Give c(27).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46548 and 324.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -83, -25, -2, 1, -1 in ascending order.\nAnswer: -83, -25, -17, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -545*l - 7117 - 10490 = -5617 for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 954763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 8:09 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 186, 179, 158, 117, 50, -49, -186?\n\"Answer: -q**3 - q**2 + 3*q + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 96*s**2 - 281*s + 1583. Is p(105) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100 divided by 6.\nAnswer: 50\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, p: 1, q: 4, a: 4, o: 3, n: 1}. Give prob of sequence pt.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 265694585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3332*t**3 + 9*t**2 - 6*t. Let y be w(6). Round y to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**4 - 78*c**3 - 524*c**2 - 720*c = 0.\nAnswer: -4, -2, 0, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-8\/15)*q**(3\/14))**(1\/52) assuming q is positive.\nAnswer: q**(-67\/10920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -4200.67201 to 1 dp.\nAnswer: -4200.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.319586 millennia to centuries.\nAnswer: 43.19586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 357146639?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/(-54))\/((-2)\/36). What is the units digit of 32 + 2\/c*4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2744 = 60*b - 4566 - 5078. Calculate the greatest common divisor of 1817 and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001983854 rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13503)\/(-49) - 8\/(-42)*-3. Suppose -h = -128 - s. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 21*o**2 + 22*o + 45. Let c be q(-20). Let u(h) = -h**3 - 2*h**2 + 24*h + 66. Let z be u(-4). Solve -c*x - 10 = -5*v, -2*x - 1 = 3*v - z for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-5) - 968\/5. Let v = 8558\/3 - 87742\/33. Let u = h + v. What is the second smallest value in -1\/4, 4, u, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 j, and 1 v when three letters picked without replacement from {e: 1, v: 3, j: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 8 = -2. Let q be -2 - (d - 12\/3). Let j be 22 - 23 - (2 + 0)*q. Solve -j = -0*h - h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 19*o + 11. Let k be l(-5). Suppose -9*g - 5 = -k. Sort -2, g, 0, -11 in decreasing order.\nAnswer: g, 0, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2551 or -571?\nAnswer: -571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of o**6\/18 + o**5\/15 - 3*o**4\/4 - o**3 + 109. Suppose a(s) = 0. Calculate s.\nAnswer: -3, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**2 - 9*y + 10*y + y**2 - y.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 10, u: 2}. Give prob of sequence nnnn.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1110 (base 2) to base 13\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**4 + 4*r**4 - 4*r**4 + (2 - 2 + r)*(0*r + 0*r - r**3) + 4*r + 4*r**4 - 4*r + 3*r**4 + 3*r**4 - 4*r**4.\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 15, -13, -1\/2, -28, -8.7, 0?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224*p + 230*p = 1512. 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: Collect the terms in 9*g**3 - g**3 + 9*g**3 - 60*g**2 + 0*g**3.\nAnswer: 17*g**3 - 60*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*y + 1431 - 621. Calculate the remainder when 332 is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167b (base 14) in base 16?\nAnswer: fbd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1378 and 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-1) - (21 + -18))\/14?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 2*i**2 - 3*i. Let o(z) = -z**3 + 32*z**2 - 30*z - 18. What is the smallest common multiple of f(-2) and o(31)?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x + 29. Calculate g(-11).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2915 (base 11) to base 16.\nAnswer: -eb7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.181 + -4.181. Which is the nearest to 3.99? (a) 3 (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.008 + 63.\nAnswer: 63.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.271 smaller than -14526.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kqgqjkqqjkqqqkqq. Give prob of picking 3 k.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 j when two letters picked without replacement from {j: 4, e: 7, y: 2}?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 703788113 less than 4542.2?\nAnswer: -703783570.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 49400 to the power of 1\/2, to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2 = 3*x - 16, 4*x = y + 15. Is -1\/461 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 0 = -5*l. Suppose -l*r - 32 = -102. What is the remainder when 103 is divided by r?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-9)*(10 + -305269) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4412 - -4416. Solve z*q = 9*q + 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 3*q + 0*q = 4, 2*q = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2540 + 2708 = 126*m + 82 for m.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**4\/5 + 2976*l**3\/5 - 1107072*l**2\/5 + 183035904*l\/5 - 11348226048\/5 = 0?\nAnswer: 248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a year in months?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -14926, -14917, -14904, -14887, -14866?\n\"Answer: 2*b**2 + 3*b - 14931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of w**3\/2 - 472*w. Let m(r) be the first derivative of 13*r**2\/2 + 60. Calculate m(k(n)).\nAnswer: 39*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 smaller than -1.17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/28 and 73\/48895?\nAnswer: 195580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 14*u**5 - 6416*u**4 + 571856*u**3 - 14451264*u**2 + 4082400*u = 0?\nAnswer: 0, 2\/7, 54, 350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 20 = -7*x. Suppose l = -x*a + 7, 5*a + 14 = 5*l - 21. Solve l*q - 25 = 4*q - 4*m, -27 = -5*q - 3*m for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3*2)\/(10\/40). Let q be (16\/n)\/(4\/42). Let w(o) = -6*o + 8. What are the prime factors of w(q)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 308165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14320298597122 - 37*w + 14320298597122.\nAnswer: -37*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 18 = -12. Suppose -k - i = -3. Suppose -3*s + 4*d = -338 - 460, -2*s + 3*d + 531 = k. What is the greatest common factor of s and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 1:04 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3935949153.\nAnswer: 3, 47, 27914533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1392, -2695, -4000, -5307?\nAnswer: -6616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + (6 - 1))*(0 - -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*o + o - 96 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.02 (b) 0.2 (c) -76869 (d) -1.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**4 - 15*w**3 - 65*w**2 - 45*w + 126 = 0. What is w?\nAnswer: -7, -6, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7\/12 + ((-63)\/12)\/(-7)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 526501*c**3*d**3 + 10*c**2 + c*d**3 - 4766*d**3 wrt c.\nAnswer: 3159006*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i - i**2 + 4*i)*(193942 - 193942 - 447*i).\nAnswer: 447*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 456\/(-1330)*(-5)\/3.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-4) - (-3)\/4. What is the common denominator of r + 0 - 71\/(-10) and -29\/14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.3, 16281.1, 2\/11, -0.7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*n - 20, -3 = -5*o + 3*n. Suppose -o*c + 236 = c - 4*d, d = 2*c - 113. Suppose -u - 3*f = -c, -2*u + f = -103 - 33. Is 18 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3*s + 8, 3*f - 4 = 5*s - 12. Let i(m) = m**3 - 2*m**2 + 2*m + 2. Is i(f) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 912 and 264?\nAnswer: 10032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/7520 and -87\/38540.\nAnswer: 308320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -760884 * -53\nAnswer: 40326852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 128 = -143, 5*h = -2*p + 46. Suppose -h*s - 21069 = -53389. What is s rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r*r\/r**(-11)*r\/(r\/r**(4\/9))*(r**3*r)\/(r*r**8*r))**(2\/27) assuming r is positive.\nAnswer: r**(170\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 2*l - 1. Let s be w(-1). Let t(i) be the third derivative of 2*i + 1\/120*i**6 - 1\/24*i**4 - 1\/60*i**5 - 37*i**2 - 25\/6*i**3 + 0. Give t(s).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23328 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3 = 7, 4*b - 28 = -3*j. Which is smaller: j or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.802830898 and -2.277.\nAnswer: -3.079830898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.05, -0.007, -10, 55\/2, 2, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1670 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2343.9 times -6909?\nAnswer: 16194005.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 36 + 13 = c, 0 = m + 3*c - 1. Is m smaller than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16 minus 18753932143?\nAnswer: -18753932143.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -45*b**2 + 36560*b - 16240 = 0. What is b?\nAnswer: 4\/9, 812","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 43358.82 months in years?\nAnswer: 3613.235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of 0*z**3 + z + 0 + 5*z**2 - 1\/8*z**4. Let k(t) = -16*t. Give h(k(p)).\nAnswer: 48*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6*202*(-3)\/90. Let x = p + 40. Let w = -3 - -7. Sort x, -4, w in descending order.\nAnswer: w, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11793 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -14*b - 186. What is the units digit of q(-56)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/41, -2, -3, -0.1, 20 in decreasing order.\nAnswer: 20, -3\/41, -0.1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j**3 - j**2 + 33*j - 1. Let n(d) = -5*d**3 + 2*d**2 - 33*d + 1. What is -3*n(c) - 4*r(c)?\nAnswer: -c**3 - 2*c**2 - 33*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-28) + 0 - (-152)\/(-140)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15232104.0000055 - -15232095. Let o = -9 - n. Round o to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of d**3\/3 - 17*d**2\/2 + 19*d + 13. Let p be o(16). Find the second derivative of -2*g + 0*g - 2*g - 11*g**p wrt g.\nAnswer: -66*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2624\/861 + (12 - 473\/33)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1553593.67427 plus -0.93?\nAnswer: 1553592.74427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*u = 16, -22 = -3*v - v - 3*u. Suppose -4*i + q + 3 = -3*i, 15 = 5*i + v*q. What is the smallest common multiple of i and 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + (-1*3 - (-325)\/117). Let j be (-8)\/(-54)*3\/2. Which is the closest to -0.1? (a) j (b) q (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -5 (b) 1\/5 (c) -1 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 3:16 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47 - -19. Let t be -1 - 3 - 119\/g. Sort 8, t, -0.2.\nAnswer: -0.2, t, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-9)\/(-15))\/(4\/20). Let j = 8 + b. Suppose -4*x = -3*x - j. What is the least common multiple of x and 5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/33)\/(5\/6).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**3 + x - x - 8*x**3 + 7*x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14166 - 13852.95. Let c = u - 331. Let k = c + 18. Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o + 5. Let d be l(4). Let v(b) = 5*b**2 - 70*b - 61. Let n be v(15). Suppose -2 - n = -4*j, j - 12 = -4*w. Solve 0*k - t - d = -w*k, t = -5 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12070183 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120)\/(-8960)*-16 - (-18)\/28.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -7 - ((21 - (6 + -1)) + (-9 - -3))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-85\nAnswer: -42.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/371, -0.04, 3\/5 in descending order.\nAnswer: 3\/5, -2\/371, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -8*w**2 + 183*w + 35. Let o(f) = -4*f**2 + 92*f + 18. Let k(s) = 11*o(s) - 6*v(s). What is the tens digit of k(26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 0 + sqrt(6)\/sqrt(3))**2 - (sqrt(24)\/(1*sqrt(12)) - (sqrt(2) + sqrt(16)\/(sqrt(8)*-2)))) + 1.\nAnswer: 7*sqrt(2)\/2 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/41557120 and 23\/20778560?\nAnswer: 41557120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v + 35. Suppose -7 + 267 = 10*k. Let z be i(k). What is the greatest common factor of z and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -0.2 (c) -0.01 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 276220222535 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4329128197?\nAnswer: 113, 38310869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100012010 + 12?\nAnswer: -100011221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 7:22 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/1911 and -29\/6407681?\nAnswer: 249899559","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1294 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1*33038606\nAnswer: -33038606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27430*d**2*u + 3377*d*u**2 - 5486*u**2 - 196*u - 11 wrt d?\nAnswer: -54860*d*u + 3377*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -54 + 70. What is the lowest common multiple of 6 and q?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vs when two letters picked without replacement from {v: 2, s: 2, o: 2, j: 1, n: 1, q: 4}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2197*k**4\/4 + 7027189*k**3\/4 - 1621815*k**2\/2 + 124759*k - 6398.\nAnswer: (k + 3199)*(13*k - 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1204 + 2080. Let z = -2830 + a. Find the common denominator of (-16)\/88 - z\/(-264) and 121\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8218244 grams to tonnes.\nAnswer: 0.0000008218244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 1. Suppose 0 = -3*x + f + 3. Suppose -4*s = -x*s + 38. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - u - 15. Let n be i(-3). List the prime factors of (n + 2)*-101*(1 + 10).\nAnswer: 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 18 = -2*a. Let l be 6\/a - 5\/(-2). Solve 2*o = l*o + 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f + 8. What is z(-9)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3688 + -0.1688. Put 3\/7, 3, r, 7\/5 in increasing order.\nAnswer: r, 3\/7, 7\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 9 = 6. Let z(u) = -12*u - 4. Let q be z(3). Let b be 0\/1 - q\/r. Solve h = -h + b for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**6\/30 + p**5\/20 - p**4\/4 + 2*p**3\/3 - 4*p**2 - 35. Let b = -1 + 3. Is 12 a factor of f(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1588241 to the nearest integer?\nAnswer: 1260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*y**3 + 27*y**3 - 43*y**3 + 12*y**3.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, -9, 2\/9 in decreasing order.\nAnswer: 50, 2\/9, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5553*c + 5558*c = 15120. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 - 28. Let j(s) = -2*s**2 - 2. Let p(u) = u**2 + u. Determine b*p(g) + j(g).\nAnswer: -3*g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -648 - -380?\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 < 374972?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 24 = -7*f. Solve -14 = -3*a - f for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3072 and 14848.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_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: Convert 5953.161 years to months.\nAnswer: 71437.932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 202, 0, 1, -6, 2, -3 in ascending order.\nAnswer: -6, -3, 0, 1, 2, 202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3927 or -88458?\nAnswer: 3927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/19 (b) -14 (c) -4\/43 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*f + 58845 = 30019 + 32258 for f.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 785, 1314\/11, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.02 + 5.02. Let v = 4.42 - 0.42. Let d = j - v. What is the closest to d in 0, -1\/2, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 49 + 116 = 0. Let c be (-1)\/(-3) - 190\/(-6). Let y = t - c. What is the remainder when 43 is divided by y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*j = 20 - 0, -2*j + 76 = 3*y. Let t = -8 - -13. Let l be -1 + 13 + 1 - -1. Solve l + 13 = -t*z - 3*d, -4*z - y = 3*d for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -129.8 + 129.6. Let t = 17\/8 + -101\/40. Which is the closest to t? (a) 0.3 (b) k (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 20*m - 4976. Let u = 1124 - m. List the prime factors of u.\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 155967 and 588?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3802 is divided by 444?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-12))\/(-7)*2*-13?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 34 = -2*f, -3*f - 30 - 39 = -5*q. Let z be ((-5)\/(-2) + -3)*0. Solve b = -3*a - 15, 3*a + z*b + q = -4*b for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/5 + 28*h\/5 - 48\/5.\nAnswer: -2*(h - 12)*(h - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52 - 30. Let v(j) = 4*j + 19. Let d(s) be the first derivative of -104 + 1\/2*s**2 + 5*s. Calculate r*d(w) - 6*v(w).\nAnswer: -2*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*x - 16*x = -141*x + 1260 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10702, -21489, -32284, -43087, -53898, -64717?\nAnswer: -75544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -1. Find the third derivative of 0*c**2 - q*c**5 - 3*c**2 + 9*c**5 + 11*c**5 wrt c.\nAnswer: 840*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-2 + 6 - 8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 2*i + 2*i)*(3 + 2*i - 3)*(-6 - 4 + 3).\nAnswer: 28*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + a + 3. Let c be x(-3). Solve -b = -4*b - c for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -1183 (b) -2\/17 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 3*c + 12. What is r(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.7722ng to grams.\nAnswer: 0.0000000547722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/5 + (-2002)\/110 + 5. Let d(k) = k**3 + 12*k**2 - 25*k + 46. Let s be d(l). Solve -i - 1 = -s for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/53611133?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1127 divided by -7\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 + 37. Which is the smallest value? (a) o (b) 9 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1132 + 3399 - 1132 + k - 1135.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-126)\/(63\/(-297)*11)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h + 1694 - 1694 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 21 + 86 = -4*b, -3*b + 30 = -5*o. Let m be o\/((-4)\/(-8)*-2). Suppose -5*a = 5*c + 25, -3*a - c = -0*c + m. Let p(j) = -2*j + 2. Give p(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/79 - -13\/3634. Let z = -83\/414 + w. Let d(n) = -n + 4. Let c be d(9). What is the third biggest value in c, 3, z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 0. Suppose -c = 2*c + l + u, -4*l - 8 = 0. Suppose n - 1 - 4 = c. Calculate the remainder when 13 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 - -30130110?\nAnswer: 30130031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/31420 and 69\/6284?\nAnswer: 31420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from xcxxcxxxcxrr?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 600475445 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (12 - (7 - -9))) + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 80 + -38. Suppose -5*o = 2 - k. Solve 0 = t - 3*r - o, r + 11 = -5*t + 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**4)**(-18)*y\/((y*y\/y**18)\/y)*y*y**(1\/5)\/y assuming y is positive.\nAnswer: y**(-269\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -101 + -221?\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100011 - 110?\nAnswer: 1011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -77*l*o**2 + 6*l*o - 16080*l + o**3 - 3*o**2 + 11 with respect to o.\nAnswer: -154*l*o + 6*l + 3*o**2 - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000753 to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/18855 and 68\/8487.\nAnswer: 17780265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of r**5\/60 - 7*r**4\/24 + 2*r**3 + r**2. Let l be t(5). Factor -1\/4*w**3 + 0*w**l + 0*w + 0.\nAnswer: -w**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*k = -54*k - 185. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -217015179 divided by -3\nAnswer: 72338393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 160 (b) 0 (c) 32515\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 4*a - 12*a. Let f be 60\/(-18)*(a + -3). Is (-108)\/(f\/(-5)) + 1 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - 2 - (38 - 37)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6714247091?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -343.\nAnswer: 137.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 25452369 to the power of 1\/2, to the nearest integer?\nAnswer: 5045","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 7*h + 4. Let m be j(6). Let k = m + 8. Let f = -2 + k. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2733.87+-0.08888\nAnswer: -2733.95888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 108955 - 16?\nAnswer: 10893e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 120 - 110.7. Let i = t - 9. Let h = 5039 + -5039.9. Which is the nearest to h? (a) 0 (b) 4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 21*v**2 + 8*v + 68. Let f(l) = 19*l**2 + 102 + 11*l - l**2 + 2*l**2 + 12*l**2. Let j(c) = 5*f(c) - 7*t(c). Differentiate j(d) wrt d.\nAnswer: 26*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*c**2*v**3 - 2*c**2*v**2 - c**2*v - 4*v**4 + 6 wrt v?\nAnswer: -66*c**2*v - 4*c**2 - 48*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -3*a - 0*a + 129, 3*v - 176 = -a. Suppose 0*k = 4*k + 3*d - 103, -2*k + 2*d + 62 = 0. Let i = v + k. What are the prime factors of i?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8427 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + t**3 + t**2 - 11*t**4 + 22*t**4 - 13*t**4 to the form d*t + f*t**3 + k*t**2 + a*t**4 + y and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 2*u + 3*u)*(22 + 15 - 34*u + 15 - 51).\nAnswer: -136*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3\/7 - 18*w**2\/7 - 801*w\/7 - 780\/7.\nAnswer: 3*(w - 20)*(w + 1)*(w + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -6. Let y be (-4)\/6*(-58)\/58. What is the nearest to y in -5, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2 + 22*t + 2. Let b be n(-11). Let z(f) = -4 + b - f**2 + 5*f + 16 + 10*f**2. Does 46 divide z(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 1400000 = 3*g. What is g rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/3 (b) -5 (c) 0.07 (d) 153\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -9763, -9898, -10059, -10258, -10507?\n\"Answer: -2*o**3 - o**2 - 118*o - 9642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2374940, 2375048, 2375156, 2375264, 2375372?\nAnswer: 2375480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67112?\nAnswer: 2, 8389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 - 31.13. Let g = -0.23 - p. What is the nearest to 1\/2 in g, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -142745578*k**5 - 50373575*k**2 wrt k?\nAnswer: -8564734680*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 0. Let i = -9.5 - -9. Let z = 0.5 - i. Which is the second biggest value? (a) -0.1 (b) j (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-28))\/((-10)\/(-7))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d + 3*d - 3*d)*(d + d - 6*d + (3 - 3 - 1)*(-2*d - 3 + 3)) + 835*d**2 + d - 10 - 4 - 836*d**2 to the form l*d + m*d**2 + u and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 902087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-5))\/((392\/(-80))\/49)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -514.24 * 1393\nAnswer: -716336.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -42540 divided by 7090\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201871811?\nAnswer: 607, 332573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*q + 4*q + 3*q**2 - 2*q**2)*(-2*q**3 - q + q).\nAnswer: -2*q**5 + 8*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(-15)*1*-6. Suppose 5*y - 8 = 17. Suppose 0*q = q - y. Which is bigger: q or v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-12))\/(1634\/(-137256))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 117900421?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4628 and 634.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 + -13. Suppose -6*b - 173 = -v*b. Does 33 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 6\/71 (c) 1307 (d) -1 (e) 6\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.14 + -5232927143509.\nAnswer: -5232927143509.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -104*c - 1483. Give x(-14).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(((-50)\/45)\/((-16)\/72)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216*c**2 - 42 + 42 - 147*c**2.\nAnswer: -363*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -404299328461211 and 5.\nAnswer: -404299328461206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -19 - (2 + (-5 - (-3 - -7 - 7)))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3765 = -7*z + 498. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -5*q**2 + 404955*q - 404950 = 0.\nAnswer: 1, 80990","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - t = -0*t - 3*t, 3*t + 35 - 86 + 40 = 2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/2, -0.04, -0.05, -2\/5, -0.028?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 23302331231?\nAnswer: -23302331230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = s - 5*q, -3*s = -4*q + 3*q - 7. Factor -s*i**3 + 24\/5*i**2 - 8\/5*i + 0.\nAnswer: -2*i*(i - 2)*(5*i - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + a - 3*j = -9, 3 = -a + j. Let o(v) = -v**3 + 5. Let z be o(a). Suppose -z*u = 6 - 16. What is the greatest common divisor of u and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 7:08 AM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 128*u**3 - 6*u**2 - 31*u + 7. Let d(v) = -127*v**3 + 7*v**2 + 31*v - 8. Let r(b) = 6*d(b) + 7*o(b). Find the second derivative of r(y) wrt y.\nAnswer: 804*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fmkffmfkmfkfkmmfkf. Give prob of picking 1 m, 2 k, and 1 f.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 7*b**2 + 9*b - 10. Let p be s(-5). Let i = 4.1 - 4. Let x = -0.1 + i. What is the closest to -1 in x, 0.2, p?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, -0.1, 1\/2, 29?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007066 to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -39175334378 less than -0.2?\nAnswer: 39175334377.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9047 and 436?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3903, 3893, 3883?\n\"Answer: -10*g + 3913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -456*k**5 - 27*k + 1 wrt k.\nAnswer: -9120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4*x**3 - x**2 - x. Let o be r(-1). Let g(u) = 50*u**2 + 12*u - 7. What is the units digit of g(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 183*41.\nAnswer: 7503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 375399 and 1251330.\nAnswer: 3753990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**3 + 66*y - 283 + 283.\nAnswer: 2*y**3 + 66*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4354 - -20020?\nAnswer: 11222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -2\/1956173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 4, 2*x + 5*s - 8*s - 28 = 0. Solve q + 10 = x for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -18*9\/(-6) + -4.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2042*i**5 + i**2 + 1019 wrt i?\nAnswer: 122520*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -54*s**2 - 228*s - 2. Let c(h) = -10*h. Calculate c(u(m)).\nAnswer: 540*m**2 + 2280*m + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3081000 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: Rearrange -5 - 422*b**2 - 1 + 419*b**2 to w*b**2 + i + j*b and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31 - (16 + 8)) + 0 + (-2 - -1 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -241 and -2.2.\nAnswer: 530.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 p, and 1 r when four letters picked without replacement from oqprqpqproq.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**5\/5 - 72*u**4\/5 - 136*u**3\/5 + 672*u**2\/5 + 28*u - 120 = 0. What is u?\nAnswer: -15, -5, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(99)*6 + 1*-2*sqrt(99))\/(6*sqrt(27)\/((sqrt(45)\/sqrt(5))\/sqrt(3))).\nAnswer: 5*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/3)\/(3*(-2)\/(-27)). What is the remainder when 26 is divided by 1 - n\/3 - (-7 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2 - -1)*-3. What is the third derivative of -22*l**p - 27*l**3 + 49*l**3 + 10*l**6 - 4*l**2 wrt l?\nAnswer: 1200*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 4 + 8. Let r = 6 - w. Suppose 0*s + 3*s - 18 = r. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52692344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*i**4 + 842*i**3 + 33490*i**2 - i - 29544133?\nAnswer: 36*i**2 + 5052*i + 66980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.1 - 0.1. Let u be -2 - (2 + 259\/(-46)). Let o = -3\/23 + u. Which is the nearest to 1? (a) d (b) o (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - l + 59 = 0, -420*n + l + 21 = -422*n for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 897 + 894 - 16*c - 2691 + 900.\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14547*z**3 + 11580*z.\nAnswer: -87282*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4*q = -4*l - 296, 0 = 2*l - 2*q + 298. Let y = 752\/5 + l. What is the closest to y in 1, 0.2, -31?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + z + 2*o - 131, 0 = -2*z - 2*o + 86. Suppose 5*k = 8*k - z. Let a be (-178)\/(-3) + (-2)\/(-3). Calculate the greatest common divisor of a and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1103919 and 181?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -508347\/82660 + -3\/20665. Let r be (-7)\/10536*59848\/6. Let m = r + 7\/439. Find the common denominator of h and m.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1450\/(-10440))\/(((-330)\/12)\/11)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 5:21 PM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(36\/(-32) + 2) + -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10*2\/(-4) - -1. Let f be h\/(-14) - (-440)\/28. Let q(z) = -z. Let v be q(-2). Solve -2*s + 3*o = -f, -5 = -s - o - v for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (2 - (9 - 4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.95462 rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2929.36 + -218.144.\nAnswer: -3147.504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -127 - -50 - 78 - -139.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 4:27 PM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 291*-0.091.\nAnswer: -26.481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15864 + 12482. Do -3379 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2714*l + 965412 = -385*l - 5840*l for l.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2050.7031 to the nearest one hundred.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-1 - (-5)\/2). Let x = -3 - w. Solve 0 = 5*l + x for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196710202 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 - 2452*p + 272256.\nAnswer: -4*(p - 96)*(p + 709)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -314\/2086317?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9898198 is divided by 1560?\nAnswer: 1558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v + 48 = -18*v. Let w be 28\/(-5*v\/30). Solve 4*x + w = 2*a, -a - 7 = 3*x + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 284 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + f - f)*(-44 + 44 + 25*f**2) - 18186 + 18186 - 135*f**3.\nAnswer: -160*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -3. Let p be n - -1 - (-14)\/63. What is s in -p*s**2 - 2\/9*s + 0 + 2\/9*s**4 + 2\/9*s**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 8:38 AM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-4)*(4\/28)\/(28\/196).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 + -31. Let s(d) = -87*d - 83*d + 167*d + 3. Give s(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pcptptccpphtpt. What is prob of sequence tch?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0, -0.1, -4, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 416539 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/30*6\/((-90)\/(-25))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f - 16*f + 15 = 0. Suppose f*v + 198 = 17*v. Find the common denominator of 1\/(-3) - v\/(-12)*-2 and -67\/62.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 71.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33972, -33789, -33606, -33423, -33240, -33057?\nAnswer: -32874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13 (b) 1\/5 (c) -3\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -55800 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17376216 and 3172?\nAnswer: 17376216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91, -194, -309, -436, -575, -726?\nAnswer: -889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(104) + -6*(sqrt(104) + sqrt(104) + (sqrt(104) - -2*sqrt(104))) - -6*sqrt(104)*2))\/(-4*((sqrt(392) - sqrt(392)*-2)*1 + sqrt(392))).\nAnswer: 17*sqrt(13)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -543*l**3 + 95547*l**2 - 4201296*l - 162624.\nAnswer: -3*(l - 88)**2*(181*l + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 20*s**2 - 106*s - 1371. Let y be t(-19). Calculate the highest common factor of y and 1175.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**5 + 3*z**5 + 3*z**5 + (-1 + 1 + z**2)*(0*z**3 - z**3 + 2*z**3) - 4 + 0 - 1 - 2*z**5.\nAnswer: z**5 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 8*j**2 - 137*j + 49101. What is the units digit of b(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 3*g**2 + 6*g. Let t be j(5). Suppose -6*x + 3*x + 90 = 0. Let y = t - x. Calculate the highest common divisor of y and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 284064448?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 2*d**2 + 8*d + 3. Let l be q(4). Suppose l*s = s - 8. Do s and -0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*z + 1450 = -118*z. Let i(x) be the second derivative of -11*x**3 + 7*x**2\/2 - 2*x. Is i(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12627813*r**4 + 17*r**2 - 36*r + 369 wrt r.\nAnswer: 303067512*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**3 + 8*x**2 + 6. Let d(u) = -3*u + 13 + 3*u + 5*u**3 - u**3 + 17*u**2. Let b(j) = -6*d(j) + 13*l(j). What is g in b(g) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39088 is divided by 38111.\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -460 - -464. Suppose j*n = 325 + 2715. What are the prime factors of n?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -144*(2 - (-15)\/(-6)). Let c be 20\/i + (-1)\/2. Let q be 0 + -1 + -1 + 1. Sort q, c, 5\/2.\nAnswer: q, c, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 divided by -334?\nAnswer: -49\/334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1*sqrt(26))\/sqrt(2) + sqrt(104)\/(-1*sqrt(8))*-6)**2.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002053 to seven decimal places.\nAnswer: -0.0000205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h - 7. Let z(l) = 2*l + 3. Let w(m) = 3*o(m) + 5*z(m). Let i be w(5). Which is the nearest to -1? (a) 3 (b) 3\/4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 3, -7, -1\/2, -0.2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 19*s + 6*s**3 - 83*s**5 - 8*s + 3 - s**4 + 14*s**2 + 82*s**5 = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2307 and 6.\nAnswer: 4614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-10)\/4 + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 156 and 64002003.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(396) + 2*sqrt(396) + 1))**2 - (-5 + sqrt(396) + (2 + -3*sqrt(396) - sqrt(396))))*-2.\nAnswer: -178256 - 1836*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 539 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.15828 rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*i = 27*i. Sort -1, i, 2, 1 in decreasing order.\nAnswer: 2, 1, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1107535 and 286?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13577 is divided by 542.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 2*r**2 + 2*r. Let u be l(-3). Suppose 3*q = u*i + 165, 9 + 136 = -3*i - q. Is (3 - i) + 2 - -4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331400.\nAnswer: 2, 5, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82860?\nAnswer: 2, 3, 5, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-63) - (-1458)\/63.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 2*l + 7. Let d be i(-3). Let m be d\/(-26) + (-3 - 476\/(-52)). Let a(v) = -2*v + 3. Let j(w) = -6*w + 9. Give m*j(b) - 17*a(b).\nAnswer: -2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -104.9 - -295.6. Is f < 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -660 (base 8) in base 12?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 24 - 4 = 3*r, 0 = -4*v - 20. What is the third smallest value in r, -3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**12\/u)**(-11)*(u**28*u*u)\/u*(u*u\/(u\/u**(29\/2)))\/u*u assuming u is positive.\nAnswer: u**(-153\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 7726 = -t + 86618, 3*n + 5*t = 118331. List the prime factors of (-3)\/6 - n\/(-54).\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 10*b + 0*b + 3 + (5*b - 3*b + 0*b)*(-76 + 433 - 100).\nAnswer: 524*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -89, -210, -391, -638, -957, -1354, -1835?\nAnswer: -2406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 14*w - 20. Let r be n(12). Let d = -615 - -626. Put r, -8\/5, d in decreasing order.\nAnswer: d, r, -8\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(325) - -1*sqrt(325)) + -4 - sqrt(325)) + ((1 + sqrt(325) + sqrt(325) + sqrt(325))*-1 - (1 + sqrt(325)*-1)))**2.\nAnswer: 100*sqrt(13) + 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1233 + 1295.9. Let s = -20.1 - f. Let x = s + 82.8. Which is the third biggest value? (a) x (b) 1.3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 212 - -107. What is the highest common factor of g and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 65449 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*o**5 + 5767*o**3 + 105594*o?\nAnswer: 280*o**3 + 34602*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 6*h - 2036 = -9*h, 4*h = -5*i + 10125. What are the prime factors of i?\nAnswer: 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -q**3\/2 - q**2\/2 + 18*q + 4. Let h(i) = -5*i - 2. Give -5*h(c) + 7*j(c).\nAnswer: 4*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 458064, 916127, 1374188, 1832247?\nAnswer: 2290304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5917824 divided by 3?\nAnswer: -1972608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30598 + 42997. List the prime factors of y.\nAnswer: 3, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20645557.\nAnswer: 2137, 9661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - -1938602.\nAnswer: 1938602.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -4) + -3 - 3. Let w be (124\/(-42) - o)\/(4\/48). Which is the third biggest value? (a) 0.4 (b) 2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.76418 rounded to zero dps?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2425453*t**2 + 4301885*t.\nAnswer: -4850906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 1:26 PM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -120*g**3 + 2*g**2 - 2*g + 1. Let b be i(1). Let c = 172 + b. Let w = c - 39. What is the greatest common factor of 14 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 244638 (base 10) to base 16\nAnswer: 3bb9e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {v: 7, a: 2, x: 3}.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-7)\/((c**28\/c)\/c) assuming c is positive.\nAnswer: c**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2 - 5695*s + 33990.\nAnswer: 5*(s - 1133)*(s - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8252756.\nAnswer: 2, 71, 29059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.2 - 1.79. Let o = q - -0.5900002. What is o rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 1c?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, 2, -1, -76808, 3, -9 in descending order.\nAnswer: 3, 2, -1, -9, -44, -76808","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*f**2 - 6*f**2 - 45*f**2 + 2*f**2 - 3*f**2 + 4*f**2 + 5*f**2 - 2*f + 2*f + f**2 + f**2 - f**2 + (-f + f + 2*f**2)*(-1 + 3 - 1).\nAnswer: -51*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/28*(-5 + 33).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000093247962 rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/13, -55, 10, 0.5, 0, 4?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000046628 to 7 decimal places.\nAnswer: 0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34357 divided by 377.\nAnswer: -34357\/377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1832 is divided by 153.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + (1 - -1) - 4. Suppose -2*l = -d*l + 2. Suppose l*g - a + 108 = 4*g, 0 = g + 5*a - 54. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 125\/(-250)*(133\/(-77) + 1)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r + 1. Suppose 2 = -2*a + 4. Let m(v) = -2*v**3 + 8 - 13 - 4*v - v - 4*v**3 + v**2. Let l(o) = a*m(o) + 4*c(o). Calculate l(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -20*d**3 + 2*d**2 + 2. Let o(y) = -440*y**3 + 45*y**2 + 45. Let j(h) = -45*b(h) + 2*o(h). Is j(1) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 121?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5255778, -21023158, -47302126, -84092682, -131394826, -189208558?\n\"Answer: -5255794*q**2 + 2*q + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2211 minus 183869?\nAnswer: -183868.7789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-6) - 96\/(-64).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 + -37. Let s = -15\/2 - -133\/18. Which is the third smallest value? (a) s (b) 3\/4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -92 - -94. Let p = -143\/315 + 12\/35. Which is the second biggest value? (a) n (b) p (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96896 smaller than 484473\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 25?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 0. Let s(m) be the first derivative of 2*m**2 + m + 1. What is the units digit of s(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0094 rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 - 4152*f - 62955.\nAnswer: 3*(f - 1399)*(f + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 8:32 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/27))**(-20) assuming g is positive.\nAnswer: g**(-40\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(2057) + -1)*-3 - (sqrt(204)\/(-2*sqrt(4)))\/(sqrt(3) + (sqrt(3) - -6*sqrt(6)\/sqrt(2)))) + -5.\nAnswer: -527*sqrt(17)\/16 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 173071080 divided by 6\nAnswer: 28845180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 478.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 48209 divided by -6887\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 38443201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2193.94 - -2194. Let l = 1.8 + -3. Let t = l + 0.6. Which is smaller: i or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -49*m + 121*m + 504 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0021 plus -402775538?\nAnswer: -402775537.9979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22803 and 1353.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 177, 168, 161, 156?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 490 and 49.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.932 + -9.\nAnswer: -17.932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 21 + 6\/(-3 + 6). Let q = -130040\/11 + 11822. Which is the smallest value? (a) k (b) -1\/5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x + 3. Let z be b(-7). Let y be (6\/(-18))\/((-2)\/z). Solve 6 + 2 = y*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 907347 and 26010614?\nAnswer: 78031842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 5*b - 1. Let p = 5 - 1. Let d be l(p). Suppose 5*w - d*u - 72 = 0, 3*w = -4*u + 12 + 8. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(63)*-5 + sqrt(63))\/(sqrt(1296)*-2).\nAnswer: -11*sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/4 + (-15)\/(-1). Let n(p) = 50*p - 206. Let z be n(7). Calculate the greatest common divisor of z and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a meter in millimeters?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81806 is divided by 1315?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1506)\/14)\/(-3) + (-8349)\/(-231) + -37?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18697.65 + -18697. Which is greater: y or -5.8?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/14*59\/118. Put 2\/5, b, 1\/5 in ascending order.\nAnswer: b, 1\/5, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -221*v**6 - 2*v**5 + 1670*v**3 - 234317611*v**2?\nAnswer: -26520*v**3 - 120*v**2 + 10020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -185*p**4\/12 + p**3\/6 + 16*p**2. Suppose 6*x - 2*x = -r - 7, 5*r + 12 = 3*x. Is a(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 8*v + 4. Let q be d(-4). Let n be (-4)\/16 + (-51)\/q. Suppose -n*s - 5 + 81 = 0. What are the prime factors of s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 6*t**3 - t**2 + 69*t + 135. What is q(-2)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 17907876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 778232.7 + -771598.5036. Let j = t - 6699.196651. Let s = j + 65. What is s rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 8*r**2 + 5*r + 2. Suppose q - 5*w = 58, -2*q - 4*w + 82 = 22. Let o = q + -9. Calculate the remainder when o is divided by s(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.07 - 0.53. Let j = -0.6 - a. What is the nearest to -3\/2 in 2\/15, j, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26 + -0.0039926?\nAnswer: -0.2639926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1238047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 4*q - 49. Let f(y) = 51*y + 1. Let t be f(3). What is the greatest common divisor of t and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-54)\/117)\/(-3) - 154\/(-13) and 81?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78531710 is divided by 795.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 8*x**2 - 7*x + 19. Let b be q(-9). Solve -b = -z - 2*h, 10 + 1 = -3*z + h for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 2*d**2 + 2*d**3 + 2*d**3 + d - d**3 + 1. Is a(2) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1403682757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -0.06, -19, -87.\nAnswer: -87, -19, -0.06, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 356*j + 10*j**3 + 53 - 2 - 3 + 182*j**2 + 18 - 2 = 0?\nAnswer: -16, -2, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11323332 (base 5) to base 12\nAnswer: 5080a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 e when four letters picked without replacement from {c: 3, e: 16, s: 1}?\nAnswer: 112\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*a**3 + 1637062*a**2 - 48726855*a - 2 wrt a?\nAnswer: -102*a + 3274124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101901947531 + -0.045.\nAnswer: -101901947531.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 489\/41173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 7*y**2 + 4*y. Let j be d(3). Which is smaller: -25 or j?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34770 and 1440.\nAnswer: 1668960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-369)\/328)\/((-3)\/(-4))*2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 7*q + 11. Suppose -8*k = -2*k - 126. Let x be k\/(-9)*-6 + -3. What is the units digit of g(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0*w = 4*w - 329, 0 = 4*l + 4*w - 440. Let z = 125 - l. Calculate the smallest common multiple of z and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/(493\/(-435)))\/(-1 - -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 0 - (-15 - -15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i*i**1)))**(-2\/3)*i**(-2\/3)*i**(1\/9)*i*i\/(i*i**2\/i)*i*i*i**(-3)\/i*i\/i**2*i**(-2\/5)\/i assuming i is positive.\nAnswer: i**(-283\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -65553135698*o**3\/17 + 65550239010*o**2\/17 + 2896656*o\/17 + 32\/17 = 0?\nAnswer: -4\/181043, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - m + 6. What is the smallest common multiple of u(4) and 22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/5 (b) 5 (c) 4 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-26)\/2*20\/(-130). Suppose -5*k = 2*p + 5, -k + 1 = -0*k. Put t, p, 5 in decreasing order.\nAnswer: 5, t, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -300*o**2. Let t(y) be the second derivative of y**3\/2 + 119*y - 3. Determine z(t(a)).\nAnswer: -2700*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 2 + 1 + 13 = 2*u - 22, -426 = -47*y - 3*u for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(704) + -1 + -3 + -5 + (1 + sqrt(704))*-1)*5)**2.\nAnswer: 3025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 543, 558, 573, 588, 603?\n\"Answer: 15*l + 528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 14. Suppose 0 = -i*h - 2*h. Suppose h = -f + 3*m + 25 - 3, -3*m - 70 = -4*f. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 565021 and 1804.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5*(2*sqrt(75) + 3)**2 + (1 + sqrt(432) + -4 + 3)**2.\nAnswer: -1114 - 300*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1526144 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of j**4\/24 - 5*j**3\/4 + 7*j**2\/2 - 40*j + 1. Let l(k) = 0. Calculate k.\nAnswer: 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 2777*p**5\/20 - 617*p**4\/4 - p**3\/6 - 2*p - 2237. What is the third derivative of v(q) wrt q?\nAnswer: 16662","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 68850\/17050 - 1*(-2)\/22\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**3 - 20*p**2 - p + 15. Let k be w(10). Suppose 0*r + 5*r - 15 = -i, -k*r + 15 = 0. List the prime factors of 12\/18 + 784\/3 + i.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12604 and 552?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(2\/7))\/(n\/(n*(n*n**(-2\/13))\/n)*n*n))**32 assuming n is positive.\nAnswer: n**(-2528\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**2 - 68*z - 32. What is the tens digit of g(-26)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -219168.42 - -5.\nAnswer: -219163.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 11, 4, 20, -3 in descending order.\nAnswer: 20, 11, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011 - -111000101010001111?\nAnswer: 111000101010110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/(-3) + (30\/9 - 0). What is the nearest to -0.9 in l, -0.1, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-30)\/40 - (42\/8)\/(-3))*5. What is the nearest to 1 in 2\/5, 1.59, i?\nAnswer: 1.59","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 29. Let j = 144 + l. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -22. Let v = 0.59 + -0.29. What is the nearest to 0 in s, -8\/3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1068.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*r = 193*r - 132 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 105*g**3 - 15080*g**2 + 24180*g - 5680 = 0. Calculate g.\nAnswer: 2\/7, 4\/3, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -248688 + 729729. Let p = b - -1345048. Let w = p + -496089. Round w to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 8:48 PM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -1 + 0 - (0 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -1\/2*v**2 + 0*v**5 + 0 + 0*v**3 - 49\/15*v**6 + 0*v**4 + 90*v. Differentiate u(j) with respect to j.\nAnswer: -392*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -5158.\nAnswer: -1547.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 479*x - 585 = 434*x for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + 6. Suppose 0 = -22*t + y*t - 3. Let p(d) = 2*d**3 - 4*d**2 + 7*d - 1. What is the tens digit of p(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -13*a + 7. Suppose 5*o - 2*b + 34 = 10, -2*o = -a*b + 12. Let t be o\/40*-26*(0 + -1). Is t < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 2*q)*(-15*q + 0*q - 12*q) in the form x*q**2 + m*q + r and give x.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -12*p + 19. Let y(z) = -11*z + 19. Let a(k) = -3*b(k) + 4*y(k). Let i be a(-16). Suppose c + 103 = 4*n - 38, 4*n = -c + i. Is n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f**3 - 4*f**3 + f**3 + 1 + 2*f. Let u be d(-1). Let z be 52\/(-12) + 1\/3. Sort z, u, 4 in increasing order.\nAnswer: z, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11350899 divided by 2.\nAnswer: 11350899\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5331 and 26888?\nAnswer: 26888.5331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 75\/3 - (-2 - -1*2). Suppose s = 2*s + 4*l + 5, 4*s + l = x. Solve 9*g - s*g - 4 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, 16, 12, -96, -380, -912, -1764, -3008?\nAnswer: -4716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from ddaodgo.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1650\/(-180)*(-48)\/(-792).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 11*t - 6 + 0*t + 11*t**2 + 0. Let c = 0 + 0. Suppose c*d + 40 = 5*d. Let m(r) = -4*r**2 - 4*r + 2. What is d*m(w) + 3*o(w)?\nAnswer: w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 11422743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 8*z**2 - 2*z. Determine w(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2105888.\nAnswer: 2, 65809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c + 106 = 13*c + 2*q, -2*c + 91 = -3*q. Let z be 94\/14 - (-4)\/14. What is the tens digit of (c - z) + 1\/(3\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z + 22*z = -9. What is the least common multiple of 6 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -450410 - -3?\nAnswer: -450406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 71 + 479. Is 16 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1872 and 64.\nAnswer: 7488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6032 is divided by 572.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k**2*z**2 + 66*k**2*z - 93*k**2 - 5*z**2 - 15*z - 1 with respect to k.\nAnswer: -2*k*z**2 + 132*k*z - 186*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 42, 82, 122?\n\"Answer: 40*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.044, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 - 3522*o**2 - 149025*o + 152550.\nAnswer: -3*(o - 1)*(o + 45)*(o + 1130)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/9591 or 2\/645?\nAnswer: 2\/645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (22\/(-55))\/(2\/(-10)). Calculate the highest common factor of y and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5*r = -2715, -r = -3*v + 2797 + 1243. Solve -v = 7*c - 1373 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38217?\nAnswer: 3, 12739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbz when three letters picked without replacement from nnbbcbgbnnncngzgcnc?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/9)\/(110\/5 - 448\/12).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-36)\/9)\/2 + (-4)\/(4\/(-77319)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, 4, -3.\nAnswer: -3, 4, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11103126 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z**2 - 6817*z + 8547*z - 5*z**2 + 6*z**2 to o + q*z + u*z**2 and give q.\nAnswer: 1730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*f - 2 - 3 + 21*f**2 - 1 - 116*f.\nAnswer: 21*f**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -v**5\/60 - v**4\/6 - v**3\/2 + 3*v**2. What is n(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - ((-1)\/1 + -4). What is the second derivative of 0*z**4 + 14*z - 2*z**c - 17*z wrt z?\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 141*m + 163*m - 63 = 0, 0 = -3*b + 4*m - 9 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i - 12*i = -21*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -3 + (-6)\/(-3) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 71 + -50. Let s = 32 - a. Let i(l) = l**2 + 16*l + 2. What is the remainder when i(-17) is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/15 and -11\/105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 57136 and -0.33931.\nAnswer: 57135.66069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*f - 0. Suppose -3*o - f = -m + 2, 10 = m - o. Let q be 1\/((5\/10)\/((-26)\/(-4))). Solve q = -5*y - m for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3354780 by -391.\nAnswer: 8580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 10*g - 7. Let u(w) = -1. Let z(i) = l(i) + 3*u(i). Let b(t) = -t**2 + 9*t - 9. Let c(x) = 3*b(x) - 2*z(x). List the prime factors of c(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 3*q + 260. Let b(i) = 5*i**2 + 594*i - 107. Let u be b(-119). What is the greatest common divisor of q and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 1722?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -9 - (13 + -5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/4 or 20?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 586*g + 5 = -582*g, 3*x = 6*g - 9 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 102948685*j**2 + 12*j + 144396.\nAnswer: 205897370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 73\/1*(7 - (-18)\/(-3)). Let t = -645 + l. Calculate the common denominator of -33\/2 and ((-1)\/5 - 116\/t)*-80.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/((-1)\/(-4) + (-3)\/(-4)). Let g(m) = m**2 + 7*m + 12. Let j be g(u). Let n = -0.9 + -4.1. What is the fourth biggest value in n, 4, j, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 463044 is divided by 403?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g. Let m(a) be the first derivative of 2*a**2 - 3. Determine v(m(s)).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 685*u - 709*u = 2*y - 186 - 128, -12 = -u + y for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -9*r - 16. Let c(j) = 16*j + 33. Let l(h) = 6*c(h) + 11*u(h). Let q be l(7). Which is greater: 2\/181 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18067382 is divided by 2106.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-1\/6))\/(f*f**(12\/7)*f*f))\/((f*f\/(f**2*f))\/f)**(-34\/3) assuming f is positive.\nAnswer: f**(-1115\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqsrrsqrqqssqq. What is prob of sequence qsr?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 0.2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 2\/(-7)*-7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 413.4 + -483. Let v = w - -69.143. Let d = -0.043 + v. Round d to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(1*12\/54). Find i, given that x*i - 2*i**2 - 2*i**2 + 25*i - 48 = 0.\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4\/3 - 7*h**3\/3 - 5*h**2 - 3*h.\nAnswer: -h*(h + 1)*(h + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -0.08 (b) 2\/3 (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 151, 405, 885, 1705, 2979, 4821, 7345, 10665?\n\"Answer: 19*o**3 - o**2 + 124*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50 - -43.2. Let s = m - -6.9. What is the nearest to 2\/5 in s, 5, 6\/19?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5328 and 95229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 285 and 885750.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = 26*a + 14 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-3) - 1\/(-1). Let y(x) be the third derivative of -x**6\/120 - x**5\/12 + x**3\/3 - 4*x**2. Let n be y(-5). Solve -h + n*h = r for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27209 times 4\nAnswer: -108836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18728224?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2730 and 630?\nAnswer: 8190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(72) - sqrt(8))*2 - (sqrt(200) + -2 + sqrt(200) + 4 + 0))**2 + 1.\nAnswer: 112*sqrt(2) + 1573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1063264685?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -3*r**2\/2 - 8*r - 93. Determine t(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u - 20 + 83*u**4 - 655*u**3 + 655*u**3. Let g(r) = 165*r**4 + 7*r - 38. Let m(t) = -4*g(t) + 7*n(t). What is the first derivative of m(i) wrt i?\nAnswer: -316*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 5*n + 6*x, 2*n - 4*x + 6*x - 16 = 0. Let h be 2\/(-3) - 8\/(-3). Suppose 4 + h = y. Calculate the remainder when n is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l. Let k be (15\/9)\/((-179)\/45 + 4). Let z = 66 - k. Calculate f(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3084 - -650. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -798347, -1596676, -2394993, -3193292, -3991567, -4789812, -5588021, -6386188?\nAnswer: -7184307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 43999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 127 in -1, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11271027 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -45. Let q = a - -38. Suppose -2*l + 2*b = l - 1567, q*l - 2090 = 3*b. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-775)\/(-5)*(-22)\/(98 - -12).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1697?\nAnswer: 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - 3\/6*-2. Suppose -2*j - 2*j + l*h + 326 = 0, 247 = 3*j + h. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 2*u)*(-2 - 1 + 2) + 10*u + 17*u - 15*u + 4*u - 6*u + 5*u to i + s*u and give s.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14073 + 14075. Solve h*v = 20 - 22 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*o**4 + 0 - 2 + 4*o**4 - 23*o**2 - 9*o**5 wrt o.\nAnswer: -540*o**2 + 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2 + 22*t - 22. Let h(n) = n**2 + 12*n - 11. Let l(x) = -7*h(x) + 4*w(x). Let d be l(2). Is d greater than 1\/328?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(2 - (-8)\/(-6)). Suppose -152 = -3*x + x - 2*a, 5*x = d*a + 404. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 583 - 348. Suppose 5*v - 172 = -2*u, -2*u = -5*u + 4*v + o. Suppose -4*n + u = -n. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x + 2*x - 6*x)*(-16*x**2 - 2 - 7*x**2 + 6*x**2).\nAnswer: 17*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10951?\nAnswer: 47, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/11, 1\/6, 153202, -0.2, -1.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*1*(1*((sqrt(98) + sqrt(98) + -5)*6 - (sqrt(98) + (5*sqrt(98) + sqrt(98))*-3)))**2*-3.\nAnswer: -1249770 + 182700*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -14*y**3 - 7*y**2 + 78*y + 18. What is the tens digit of f(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 5 - 3)*(-5 + 2 + 4) + 4 - 7 + 6)*(-3*f + 12*f - 2*f) + 3*f - 3*f + f as m + w*f and give w.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n + 12. Is 7 a factor of z(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118983 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -18*g. Suppose 4*c + 43 = 51. Let s(o) = 2*o**c + 3*o**2 + 3*o**2 - 9*o**2. Give s(y(i)).\nAnswer: -324*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**5\/20 + s**3\/3 + s**2\/2 - 8*s + 1. What is l(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31\/99 + -9\/22. Which is greater: -2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1122 (base 3) in base 9?\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -400380255 divided by 171\nAnswer: -2341405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2 - 29*x - 181. Calculate f(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 588018 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -24 - 2 - (1 - 13 - (-75 + 77))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91412813.\nAnswer: 991, 92243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*p = 6*w - 106, -4*p = -8. What is the greatest common divisor of 20 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -s + 2*s. Suppose -5*l = -10*l + 75. Suppose -v = s - l. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 353.1383ug?\nAnswer: 0.3531383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 3*i. Let y be 3 + (-76)\/28 + (-52)\/(-14). Solve m = u + y + 3, i = -m + 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 86 - 50. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 12)*400\/(-6). What is t rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -179630 divided by -9?\nAnswer: 179630\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-4) + 11643\/(-12). Let l = -77507\/80 - t. Let n = 3\/80 - l. Is n greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.4 and -14610100.\nAnswer: -14610101.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6953 and 85187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -25, 5*y - 5*o + 0*o = -50. Find the common denominator of (-4)\/10*(-102)\/4 and ((-72)\/33 + 3)*y.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -812 - 805 + 2429 + 49465*h - 812.\nAnswer: 49465*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 963*n**2 + 40123*n - 100. Calculate u(40).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 - 474798?\nAnswer: -474797.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppcc when four letters picked without replacement from ppppccgppgp?\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -w**3\/6 + 225*w. Let a(c) = 801*c**2. Determine a(d(b)).\nAnswer: 801*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 14 times -0.7\nAnswer: -9.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 2.92. Let q = 0.04 + a. Let c = q - -0.0399999. Round c to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21084 and 1806.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 506*t**3 - t**2 - t + 1. Suppose 19 - 19 = -5*c. Suppose -x - s + 3*s - 9 = c, 3*x + 22 = 5*s. Is q(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -169714 divided by 84857.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15 - 155305203?\nAnswer: -155305144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0133 - -39.7133. Let h = f - 41.7. Is h smaller than 7.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a factor of 3024087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 928880 and 1560?\nAnswer: 36226320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (4\/88)\/((-76)\/304)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6389, -6416, -6471, -6566, -6713, -6924, -7211, -7586?\nAnswer: -8061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/((h\/(h*h**(-1\/12)*h*h))\/h))\/((h*h**(2\/13)\/h)\/h*h)*h**0*h**(-1\/5)\/h*h*h assuming h is positive.\nAnswer: h**(4339\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/91 and 59\/26?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1329019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -1146*z - 1012*z - 1067*z - 64*z + 436*z in the form q + w*z and give w.\nAnswer: -2853","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33191442 by 4902.\nAnswer: -6771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(6*(1 + sqrt(19)) - (-3 + (-2*sqrt(19))**2)).\nAnswer: -402 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9, 50, 163, 342, 599?\n\"Answer: 2*a**3 + 15*a**2 - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -1 + (-2 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ywclx. What is prob of sequence lw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -152634, -611017, -1374990, -2444553, -3819706, -5500449?\n\"Answer: -152795*l**2 + 2*l + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4400)\/2720 - ((-4)\/34 + 0).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 133*i. Let m(l) be the second derivative of 1\/3*l**3 + 0*l**2 + 0 + 183*l. Give g(m(v)).\nAnswer: 266*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 117544 by 193.\nAnswer: 117544\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2148 is divided by 1061?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-10)*o)\/o*o)\/(o\/o**19))**(-11) assuming o is positive.\nAnswer: o**(-99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2107*z - 1017*z - 100*z + 4*z - 3*z - 3*z + (8 - 4 + 3)*(-3*z + 0*z + z) in the form y + d*z and give d.\nAnswer: -3240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 - (15 - (44 - (12 + 2)))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.37 + 6.63. Let o = b - 6. Let p be 5\/(40\/(-28)) + 3. Which is bigger: o or p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96\/60*7*15\/(-6)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + sqrt(17) + (sqrt(136)*-2 - sqrt(136))\/sqrt(8))*-4)**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3522, 3524, 3528, 3534, 3542, 3552, 3564?\n\"Answer: w**2 - w + 3522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, e: 1}. What is prob of sequence eb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**2 - 4*r - 6. Let w be f(-4). Let z = -17 - w. Let -362 + 4*j**2 - j + z*j + 362 = 0. Calculate j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*g + 9*g**2 + 25*g - 34*g.\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4528*q**3 + 9068*q**2 - 4552*q + 12.\nAnswer: -4*(q - 1)**2*(1132*q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21353 - -43011?\nAnswer: 104404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -246454624 divided by -249448?\nAnswer: 988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -5*k + v, -4*k + 4*v - 58 = -9*k. Let a(p) = -p**2 - 18*p - 13 + 0*p**2 + 2 + 1. Let r be a(-8). What is the highest common factor of k and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -298*n**2 + n**4 + 585*n**2 - 296*n**2 + n**3 + n**3 as k + a*n**2 + j*n**4 + m*n**3 + d*n and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-8)\/512*48\/8*-8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -1 - (29 - (41 + -11))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by 1.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 11*p**2 + 11*p + 10. Let n be z(12). Let d be 10*n\/(8\/2). Is 9 a factor of -3 + (-25)\/d + 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 65 + 34. Is 11 a factor of (-1)\/(393\/s + -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -152*z + 11140. Determine a(74).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 0*o - 3*o + 0*o. Let h(a) = 15*a**2 - 4. Let u(v) = -4*v**2 + 1. Let j(r) = h(r) + 4*u(r). Determine m(j(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a + 3. Let w be p(3). Let d(r) = 4 - 4 - w*r**2. Let o(l) = -7*l**2 - 24*l. Let q(s) = 9*s**2 + 32*s. Let x(y) = -4*o(y) - 3*q(y). Give x(d(n)).\nAnswer: 36*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -476*v - 1673*v - 15*v - 2436 + 21912 = 0 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((5 + sqrt(68) - sqrt(17)) + (sqrt(255)\/sqrt(5))\/sqrt(3)).\nAnswer: -2*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 0.0176?\nAnswer: 0.00704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 17*b + 21. Let t be m(-16). Suppose -t*a - 4*y = -109, 5*a + 2*y + 0*y - 117 = 0. Solve -2*h + a = 3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from shsssssssssssssssss?\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 b, and 1 z when three letters picked without replacement from yzzbybsbbbsbsbybysz.\nAnswer: 32\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 117772 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9203.7919 + -9210. What is x rounded to one dp?\nAnswer: -6.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 575 or -0.1?\nAnswer: 575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -26*(37\/(-185) - (-12)\/10). Let o(h) = 3*h + 94. Let v be o(l). What is the highest common divisor of 16 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + -20 + 2 + -5 + 16 + -10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45812?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -23374617 divided by 1230243\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -19*z**5\/5 + 12*z**2 - 8. Find the second derivative of h(r) wrt r.\nAnswer: -228*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2014610 + -106.\nAnswer: -2014716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 3\/52?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 65 + 3*f**2 + 6*f**2 - 8*f - 72 - f**3. Let c be (14\/(-3))\/(4\/(-6)). Calculate the remainder when g(c) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -56, -1\/105, -5\/4, -0.3?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -g**4\/8 + 3*g**2 - 3*g. Let b(y) = -y - y - 4*y. Give d(b(h)).\nAnswer: 18*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5002, 4999, 4996?\n\"Answer: -3*w + 5005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by -12141.\nAnswer: 1\/639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - -1 - (0 - 2). Let o = 8 + -5. Suppose 0 = -3*r + o*t + 15, -4*r - z*t = -5*r + 7. Calculate the least common multiple of 9 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 i when four letters picked without replacement from {a: 10, o: 2, i: 2}.\nAnswer: 240\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -14397 + 2.52569018?\nAnswer: -14394.47430982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -3\/5*l**2 + 0*l - 1\/5*l**3 + 4\/5 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-342 + 2310 + 2664 + 1056)*(0*p + 3*p - 2*p) as a*p + y and give a.\nAnswer: 5688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203314381.\nAnswer: 67, 3034543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in -0.1, -0.2, -0.5, 0.5, -6473?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 13250000 to the nearest one hundred thousand.\nAnswer: 13300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 5 + 0*r**3 - 4 + r**2 + 5*r**2 + 6*r - 35*r**3. Let y(t) = -t**3 + t**2 + t. Let c(z) = -p(z) + 6*y(z). Is 14 a factor of c(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, r: 4, v: 3, y: 1, u: 4}. Give prob of picking 1 u, 1 r, and 1 y.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48 * 0.2.\nAnswer: -9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -107, -104, -93, -68, -23?\n\"Answer: p**3 - 2*p**2 + 2*p - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 113291, 1 in increasing order.\nAnswer: 0, 1, 4, 113291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*d**4 - 896444*d**3*v**2 - 89*d*v + 2*d + 780*v**2 wrt d.\nAnswer: -48*d**2 - 5378664*d*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 458\/1081 + -24\/47. Which is bigger: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.197877 rounded to 3 dps?\nAnswer: -0.198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/5*-4*(-15)\/6. Suppose s*x = -17 + 17. Let c be (x - -350)*9\/((-18)\/(-10000)). What is c rounded to the nearest one hundred thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/5*s**2 - 1\/5*s + 2\/5 = 0 for s.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*-1*(-2 - -1). Suppose 5*c = 3*g - g - 22, -q*c - 10 = 0. Let w = g + -4. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 103915 and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29\/28 + -1781\/84. Suppose -2*k = -6*k + 68940. Let n = k + -310363\/18. What is the common denominator of x and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 415 - 410. Sort 144, 4, -3, p in increasing order.\nAnswer: -3, 4, p, 144","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 3)*(-4 + 0 + 5)*(2 - 1 + 0)*(25*k**3 - 15*k**3 + 5*k**3)*(213 - 80 - 222)*(4*k - 3*k + 0*k) to z*k**4 + p*k**3 + g + a*k + q*k**2 and give z.\nAnswer: -2670","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + (sqrt(11) - sqrt(44)))*6 - (4 + (sqrt(44)\/(1*sqrt(4)) - sqrt(55)\/(sqrt(5)*1))))**2 + -1.\nAnswer: 144*sqrt(11) + 3579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 119*j**3\/2 + 733*j**2\/4 + 43*j\/4 - 21\/2.\nAnswer: (j + 3)*(7*j + 2)*(34*j - 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 356.1 + -356.090492. What is x rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (5 + 1*(-3 + sqrt(405) + (sqrt(405) - (sqrt(405) + 1)*-1) + -5*(0 + sqrt(405))) + 0)**2.\nAnswer: -108*sqrt(5) + 1629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of y**4\/78 + 11*y**3\/39 + 48*y. Suppose b(r) = 0. Calculate r.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 28 + 18 + -29 - (-1 + -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (10 - (8 + -3 + 4)) + -4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1829*h - 2174*h - 846*h + 835*h.\nAnswer: -4014*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 13*a**2 + 12*a - 11. Suppose 94 - 24 = -5*q. What is the remainder when 48 is divided by g(q)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 9*o**2 + 6*o - 14. Give n(-10).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 = -39*o - j, 5*o + 5690*j - 75 = 5685*j for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-2\/7)\/a)\/a)\/a)**(3\/34)\/((a**(-6)*a)\/a**(-6)) assuming a is positive.\nAnswer: a**(-307\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -5*s + 71. Let y(k) = 4*k - 69. Determine -3*t(d) - 4*y(d).\nAnswer: -d + 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 + 183 = -134*g - 47. What is the smallest value in g, 5, -871?\nAnswer: -871","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -90 - -97.5. Let p = y - 9.8. Round p to zero decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -4*y + 62. Suppose -4*q - 319 = -383. What is x(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -691 + 714. Calculate the highest common factor of 299 and f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.92 + -0.08. Let u = 0.593 - 1.593. What is the second smallest value in 5, j, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -549936*v**3*w**2 - 2*v**3*w + 84*v**2*w - 2*v**2 - 240*w wrt w.\nAnswer: -1099872*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2021 - 12020221?\nAnswer: -12100012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35317 (base 14) to base 8.\nAnswer: 375051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 58 - 57. Suppose -5 = -2*d - w, 2*w - b + 3 = 0. Solve -5*h + d*z - 12 = 0, 4*z - 5 = 3*h - 0*z for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17210175 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.66 - 0.6?\nAnswer: -3.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 200 - 198. Is 34 a factor of (d + 28\/(-6))*(-3927)\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Do -2\/389 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -15, -1213.\nAnswer: -1213, -15, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {b: 4, s: 3, x: 3, l: 3}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-1 - 4 - (-1 + 16 - 14)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -q**5\/60 - q**2. Let u(f) = 2*f**2 + 0*f**2 - f**2 - 2*f**2. Calculate u(a(g)).\nAnswer: -g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34023\/217 - -4732\/31. Suppose 0 + 10 = -2*o. Does o = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*v - 74 - 142 = 0. Let h(n) = 7*n**2 + 42*n + 18. What is the remainder when 43 is divided by h(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53 + 7*a**2 - 2402*a + 2399*a + 28 - a**3 to k*a**2 + s*a + f + u*a**3 and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 575 - 9*y**2 + 49*y + 7*y**2 - 49*y - 575.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/13 at least 38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 13*m**2 + m + 1. Determine d(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 10*r - 6215 = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1516 + 1840. What is the remainder when y is divided by 26?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5*b - 1, b = -0 - 2. Calculate the remainder when 24 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*o - 28 = -200*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -784.0963367 rounded to the nearest integer?\nAnswer: -784","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15671136 by -2784.\nAnswer: 5629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**2 - 57*n + 308. Calculate x(5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -8*c. Let t(i) = -i + 4*i + c*i - i. Let m(g) = -1 + 0*g**2 + 1 + g**2. Determine m(t(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 4*i**3\/5 - 59780*i**2 + 3586368*i\/5 - 10758672\/5 = 0.\nAnswer: 6, 74713","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 - -43. Let s = 1 + -2. Let a be s + 1 + (-33)\/(-1). Solve a - b = -5*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 671 - 2699\/4. What is the common denominator of l and (-2)\/2*131\/(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 3 - 6. Suppose -h + 2*u = 1, 0 = 3*h + 2*h - 5*u - 5. Calculate the smallest common multiple of a\/2 - h\/(-2) and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -76 in -0.055, 16, 33?\nAnswer: -0.055","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.79744 litres in millilitres?\nAnswer: 86797.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 41*t - 113. Suppose 61*k - 18 - 84 = 27*k. Calculate h(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1262 - -1807. What is the remainder when d is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r - 1. Let j(g) = -6*g + 3. What is j(k) + 5*t(k)?\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39.034 + 39. Let s = 27.966 - t. Let b = s - 27.9999915. Round b to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 202283 and 326.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 3*u - 636. Suppose -5*p + 2*b = -u, -p - p = 2*b - 96. Is 17 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/k**0))**(-9\/7)*k*k**(-1\/5)*k*k\/k**(-1\/2) assuming k is positive.\nAnswer: k**(33\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 49068 or 49061?\nAnswer: 49068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 6:57 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 261*l**2 - 1. Let p be k(-1). Suppose 0 = -0*g + 4*g - p. Suppose -g = -5*j + 25. 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 h(k) = 7230*k + 203. Is h(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1792\/9*l - 401408\/9 - 2\/9*l**2.\nAnswer: -2*(l + 448)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -21\/4*j**5 + 4*j**2 + 0 + j - 1\/4*j**3 - 17\/2*j**4 = 0.\nAnswer: -1, -2\/7, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 80*y**2 + 16*y + 16. Let f(u) = -26*u**2 - 5*u - 5. Let r(g) = -16*f(g) - 5*w(g). Let j(d) be the first derivative of d**3 + 4. Calculate j(r(s)).\nAnswer: 768*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131 + 5469*g + 77 + 56.\nAnswer: 5469*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*t = -2*u - 1, 3*t = 3*u + 6. Let v = -4 + 10. Let y be (22\/v)\/(13\/39). What is the highest common divisor of u and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68c (base 13) in base 15?\nAnswer: -505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2 = -6. Let y = b + 0. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 693, 1373, 2043, 2697, 3329?\nAnswer: 3933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + m**2 + 2*m + 1. Let f be o(-1). Suppose -50 = 164*x - 159*x. Which is the closest to f? (a) 1\/5 (b) x (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 10. What is the tens digit of 2 - 2 - (-32)\/p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - -0.2. Let w = 0 + 2. Let a = w + -2.3. What is the second smallest value in f, a, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2106*m + 14164 + 72152 = 6288 for m.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -9*w**2 - 6*w - 7. Let p be c(-5). Suppose -16*z + 3978 = -1462. Let n = p + z. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 164*g - 311. Determine y(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 30\/11, 2\/13, -1\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a meter in millimeters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(17) - (sqrt(17) - (sqrt(17) + -2 + sqrt(17) + 5)) - (-4 + sqrt(17) + -2)**2).\nAnswer: -50 + 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 6*b + 61. Let i(u) = 27*u + 309. Determine 5*i(h) - 24*q(h).\nAnswer: -9*h + 81","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 2*o**2 - 56*o + 24. What is h(0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 134 divided by 6\nAnswer: 67\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50255 is divided by 10047.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -62550 and -62441 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 815\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 25*a + 14. What is the remainder when n(5) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 58*u - 6. Let x(z) = 60*z - 5. Determine -4*h(c) + 5*x(c).\nAnswer: 68*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 995?\nAnswer: 6965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25800)\/(-1320) + (-3 - (11 + -18) - 23).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 66.48 times -2.539\nAnswer: -168.79272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 34 = 3*a, a + 2*n - 8 - 5 = 0. Suppose -a*g - 612 = -2405. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -3*s + 2. Let t be (5\/(5\/s))\/1. Calculate the remainder when ((-7)\/(-2))\/((-1)\/t) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 3 = 0, 4*u - 46*b + 2 = -48*b for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -1488, 0.3, 3\/5, 36 in descending order.\nAnswer: 36, 1, 3\/5, 0.3, -4, -1488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/12*132\/77\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o + 32 = 102 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -12*n + 19696. What is the thousands digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-2\/3)*c)**(-48)*(c\/(c*c*c**(2\/5)*c)*c)**(2\/5)*(c\/c**(1\/4))**(-1\/9)\/(((c\/((c\/(c*c*c**(-2\/3))*c)\/c))\/c)\/c)**(-23) assuming c is positive.\nAnswer: c**(-23993\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**17*(b\/((b**15*b)\/b))\/b)\/(b*(((b*b*b\/(b*b**(-3\/2)))\/b)\/b)\/b*b*b)**(2\/7))**(-36) assuming b is positive.\nAnswer: b**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 - -32. Suppose m = -3*q - 5*i, -13*i + 9*i - 12 = q. Solve q*f = 3*z - 12, -4*f = -5*z + 16 + 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 14211 - 9460. Does 48 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/((1896\/(-2528))\/((-21)\/(-8)))?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1398.99 to the nearest ten.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 475645728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u. Let n(k) = -2023*k + 1288. What is n(y(h))?\nAnswer: 6069*h + 1288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -45, -279.\nAnswer: -279, -45, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + c - 8. Let h be 6*(15\/(-6) + c). Let k be ((-1)\/(-7) + (-16)\/14)*1. What is the nearest to k in h, -5, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**3 - 1 - 12961*o + 6489*o + 1 + 6472*o.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -9, -5, -1 in decreasing order.\nAnswer: 1, -1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6118 + 3802902932.3.\nAnswer: 3802896814.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, -2\/9, -7, 0.7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -119 + 107. Let i be -1*(-134)\/(-2)*-1. Calculate the common denominator of (-18)\/z - i\/(-4) and 93\/26.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 278129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-762)\/21 - (-2)\/7. Let l be (-152)\/m - (-2)\/(-9). Let g(f) = -f**2 + 4*f + 3. Let c be g(l). Which is smaller: c or 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15 + -18259?\nAnswer: -18244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-664)\/166)\/((-8)\/22)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (54\/966)\/(6\/21)*(-11240)\/(-1686)\nAnswer: 30\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16194294 to the power of 1\/2, to the nearest integer?\nAnswer: 4024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 6)*12\/10. Let q = h + 15. Solve 0 = 3*a - 5*c + 24, 0 = -2*a + 6*a + c + q for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 5*f - 3150 = 0, 4*f + 1118 + 751 = 3*b. Does 11 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w + 1640*w**2 - 1802*w**2 - 2*w to y + b*w**2 + q*w and give b.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7520)\/15 + (-737)\/201. Sort p, -1, -2 in decreasing order.\nAnswer: -1, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 923777375?\nAnswer: 5, 7390219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -0.1 (c) -228\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10435 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3*k = 6, -10 = -3*f + f - 5*k. Suppose 50 = -f*p + 5*p. What is the greatest common factor of p and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 1.8. Let j = i - 0.2. Let v = j - -0.3998. Round v to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**5 - 182*g**4 + 3430*g**3 + 33614*g**2.\nAnswer: 2*g**2*(g - 49)**2*(g + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1\/4, -17, -5 in descending order.\nAnswer: 1\/4, -3, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 831 + -426. Suppose 0 = 5*j + o + 2950 - 2938, -3*o + 15 = -2*j. Put j, 2, c in decreasing order.\nAnswer: c, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64919*u + 29121*u - 33890*u - 20218*u - 27119*u.\nAnswer: -117025*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 2460527542.\nAnswer: 14763165252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c + 6*c + 24*c)*(98 - 93*c - 121*c + 218*c).\nAnswer: 96*c**2 + 2352*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - ((-3 - -14) + -14).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 1266 = -6*r + r, -3*r + 5*l = -766. Suppose -2*f = 3*f + 550. Let g = r + f. What are the prime factors of g?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o**2 - 8*o - 4. Let p be l(-3). Suppose 3*d + 49 = 2*q + 3*q, -3*q + 23 = -d. Is d less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 56526*o + 56521. Let g be w(-1). Let s = 0.21 + -0.14. Let c = -0.2 - 0.1. What is the third smallest value in -0.5, s, c, g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -21174.\nAnswer: -21173.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**2 + s - 6. Let i(r) = -9*r**2 - 35*r - 25. Determine -i(w) + 4*j(w).\nAnswer: w**2 + 39*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77690 is divided by 38844.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -35.9 and 539.\nAnswer: 503.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 12 = -12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.129 - -0.071. Let g = 6.73 - v. Round g to one decimal place.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 157, 159, 161, 163, 165?\nAnswer: 167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2085 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 2*c**4 - 816*c + 411*c + 407*c + 9*c**2 in the form s*c + x*c**4 + v*c**3 + r + o*c**2 and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - f**2 + 8*f + 11. Is b(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 7:09 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.12, 0.3, -31\/6, -2\/7?\nAnswer: -31\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1760 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -10*m**2 + m. Let u be s(1). What is the smallest common multiple of 20 and (u + 12)*56\/6?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -k**3\/3 - 5*k**2\/2 - 6*k + 3. Let i = 11 + -16. What is o(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(3) + (sqrt(48)\/sqrt(4))\/sqrt(4))*-4 + (sqrt(12)*-3*3)**2.\nAnswer: -8*sqrt(3) + 974","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 at most -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrm when four letters picked without replacement from rmmrmr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 54*o**2 + 722*o - 7. Determine s(-28).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 18075*i - 56. Is l(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 7*d. Let p(i) = -6*i + 1. Let u(b) = -4*p(b) + 3*q(b). List the prime factors of u(4).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1870, 3746, 5622, 7498?\nAnswer: 9374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/(-8))\/5 - (-38)\/(-8). Let j = 1 + -1. Let c be 93\/42 - 288\/168. What is the nearest to j in -2, c, t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - -19977*(-7)\/35640. Let x = -116\/135 - b. Let r = -1\/44 + x. Which is smaller: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*i = 5*c + 611 + 1119, -5*i + 1061*c = 1063*c + 242 for i.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 + -5)\/(1\/(-3)). Calculate the remainder when 7 is divided by -1 - -9 - (i + 6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1398, 1420, 1442?\n\"Answer: 22*l + 1376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 14*v + 15*v = 2006, 2*v + 2688 = 4*u. What are the prime factors of u?\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t + 69. Calculate k(-38).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w. Let n be p(-2). Suppose -n + 7 = 5*r. What is the remainder when 0 + (-3 + r - -15) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 4*n - 5*p, -4*n + 4*p + 62 + 6 = 0. Suppose n*x - 604 = 9*x. What is the remainder when x is divided by 77?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 495395*j**2 - 1414986 wrt j?\nAnswer: 990790*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or -80459\/860?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-75422 + 37976 + 34402)*(-3*u**4 - u**4 + u**4).\nAnswer: 9132*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) + 1*sqrt(125))*2 - (2 + (sqrt(500) - (sqrt(500) + (-1 + sqrt(500) - sqrt(500))))))**2.\nAnswer: -120*sqrt(5) + 2009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c**2 - 3*c + 0*c - 45 + 73)*(3*c**2 - 8*c + 8*c) to o*c + h*c**4 + y + g*c**3 + v*c**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22.81 - -15.31. Let y = -3.89 - 0.11. Sort y, -1, q in increasing order.\nAnswer: q, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t - 100. Let c(n) = -121*n**2. What is o(c(g))?\nAnswer: 242*g**2 - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((903\/(-315))\/((-30)\/(-270)))\/(36\/(-120)).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/24213 or 1?\nAnswer: 2\/24213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(15\/4 + -4). Suppose -3*r = a - 110, -r - i*a - 78 = -3*r. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.9 - -3. Let t = -5563\/30 + 928\/5. What is the closest to o in t, 5, 3\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of b**3\/3 + 3*b**2\/2 + 4*b + 16. Let l(c) = -c**2 - 4*c - 4. What is 3*l(h) + 4*o(h)?\nAnswer: h**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 72*k**2 + 23*k + 37. Calculate the smallest common multiple of 54 and r(3).\nAnswer: 20358","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (15\/1)\/(17\/(-153)). Let x = -71 - r. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1035\/621*(-69)\/5?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, 644, -1\/7 in increasing order.\nAnswer: -1\/7, -0.02, 644","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 10*o**2 + 2*o + 19. Determine z(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(sqrt(567)*1).\nAnswer: sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00092263 rounded to five decimal places?\nAnswer: -0.00092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4991320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2528467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -424 - -431. What is the remainder when (-2861)\/(-7) + 58\/u + -8 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 472195 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5353 is divided by 2783?\nAnswer: 2570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1162546720?\nAnswer: 2, 5, 7265917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l + 2. Let f be q(2). Let i be (14\/49)\/(1\/35). Suppose -5*g + i = -f. What is the least common multiple of 8 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -82*t + 7905. Determine r(97).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**11\/(h*h\/(h*h**(3\/5))))**(-30)\/((h\/((h**(-16)*h)\/h*h))\/(h**(-10)\/h))**(1\/43) assuming h is positive.\nAnswer: h**(-13701\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y - 94310 = 16*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 0.14, 3, -271 in ascending order.\nAnswer: -271, 0.14, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 142847 and 211?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*i + 60 = 47*i. Suppose 7 = 3*q - 4*x, -2*q - 5*x = 2 + 1. What is the smallest common multiple of (2 + -1)*(3 - q) and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82446 divided by -1.\nAnswer: 82446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, g: 12}. Give prob of picking 2 g.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 5*a - 81. Let b be (-4)\/(-6) - (-387)\/a. Calculate the greatest common factor of 135 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/1213 or 1?\nAnswer: -2\/1213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 2:31 AM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 - 499212*v + 2995344.\nAnswer: -2*(v - 6)*(v + 249612)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -c - 2*c + 10, -3*q = 5*c - 13. Solve -2*m - c = -0*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5770, -10522, -15276, -20032, -24790, -29550?\nAnswer: -34312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 14) to base 5\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2115 a factor of 17211804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**2 - 6*v**2 + 30*v - 8*v + 2.\nAnswer: -10*v**2 + 22*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -18. Let k(h) = -2*h + 1. What is the lowest common multiple of k(-4) and x?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*m - 24*m - 36 = 0. Factor 20*o + 40*o**3 + 46*o**m - 40*o**2 - 4 + 48*o**4 + 31*o**4 + 4*o**5 - 145*o**4.\nAnswer: 4*(o - 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1829000 to the nearest one hundred thousand.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.12 take away -25?\nAnswer: 104.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.2, -2, -6403.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - o**2 + o - 1. Let f(x) = x**4 + 5*x**3 - 71*x**2 + 133*x - 68. Let j(p) = -3*f(p) + 15*t(p). Factor j(m).\nAnswer: -3*(m - 7)*(m - 1)**2*(m + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -18. Suppose c*a - 26 = 9. Solve 0 = -2*g + a*g, -2*k + 8 = 3*g for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 764385.\nAnswer: 5350695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 15 = 5*k, -5*h - 3*k + 7 = -h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**4 - 122*z**3 + 1418*z**2 - 4902*z + 5076 = 0.\nAnswer: 2, 3, 9, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 2 - 3 + 5*m + 0*m - 14*m in the form u + s*m and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + (sqrt(18) - (sqrt(198) - 1*sqrt(198))\/sqrt(11)) + sqrt(18) - sqrt(180)\/sqrt(40))\/(sqrt(36)\/(sqrt(24)*3 + sqrt(6))).\nAnswer: 35*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/7 (b) -0.2 (c) 39 (d) 364\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 3*w = 6, -9*w + 10*w = -5 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 - 8)*(-2722)\/8. Suppose -a + 3751 = 5*h. What is the lowest common multiple of 10 and h?\nAnswer: 2390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 9, q: 11}. What is prob of sequence qqq?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.303 and 1285323.\nAnswer: 389452.869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 54394297201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4162401*r**3 + 3121853*r wrt r?\nAnswer: -24974406*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*s - 60 = -m + 63*s, 3*m - 240 = -s. Solve m*q + 67*q = 135*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6149 divided by -559\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/88*-2*-22?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -8 - 30 - 37 + 11 + 44*k. List the prime factors of u(16).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5538676 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of 56*y**2 - 8*y**4 + 2*y + 0 + 53\/3*y**3. Differentiate r(h) wrt h.\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61944?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 77.3 - 82. Let d = 7.1 - 2.1. Let l = d + t. What is the second biggest value in 4, -0.3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120110110 - -110212?\nAnswer: 120220322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -5*r**3 - 53*r**2 + 85*r - 40. Let v(m) = m**3 + 13*m**2 - 21*m + 10. Let x(b) = -2*t(b) - 9*v(b). Is x(10) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(4\/8252*-2). Suppose -453 = 2*r - q. What are the prime factors of r?\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 42*b + b**2 - 4*b**2 + 43*b - 85*b. Let r(i) = 2 - 2*i + 5*i - i. Let j(a) = -1. Let p(u) = 2*j(u) + r(u). Calculate n(p(z)).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 985.\nAnswer: 3\/985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1987*s - 8697 = 932*s + 45160 + 48308 for s.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3976436 + 3976436 + 112*m**3.\nAnswer: 112*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/9 of a week in minutes?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 192\/7 + 8*u**2 - 2\/7*u**3 + 250\/7*u.\nAnswer: -2*(u - 32)*(u + 1)*(u + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5 + -1 + 15\/(-225) and -67\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 81*q**6 - q**3 - q**2 - 42*q?\nAnswer: 9720*q**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 41995, 83995, 125995, 167995, 209995?\n\"Answer: 42000*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 9*d + 10. Let w = 45 - 43. Let o be (-11 + -5)*(-1)\/w. Suppose -o*c + 54 = c. Let u(r) = -8*r - 9. Calculate c*z(n) + 7*u(n).\nAnswer: -2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/((-54)\/(-96)))\/(4\/(-6)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of q**6\/120 + q**5\/16 - 7*q**4\/16 + 23*q**3\/24 - q**2 - 108*q + 2. Determine l so that r(l) = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 101 - (27 - (-23 + -76)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o + 3. Let b(k) = -3*k - 6. Give -3*b(z) - 5*f(z).\nAnswer: -z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(171)*1 + sqrt(171))**2 + (1*-5*sqrt(76))\/sqrt(4))*4.\nAnswer: -20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 5*z - 33. Let b = 44 + -36. Let v be u(b). Solve -2*t - 1 = v for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-15))\/(1*1\/(-57)*(-13194)\/10995)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -c - 3*d - 44, 5*c - d = -124. Let r = -64 - c. Let b = -28 - r. Solve 2*y + b = -y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.18 + -0.28. Sort -3\/7, k, -2, 1\/3.\nAnswer: -2, -3\/7, k, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/7 + 55*c**2\/7 - 125*c + 3125\/7.\nAnswer: -(c - 25)**2*(c - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) 10 (b) -2\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 424 a factor of 813506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 34 = -56. Suppose 2*l + 8 = 4*a, 1 + j = 4*l + 5*a. Let w(r) = -6*r - 10. Let h be w(-2). Solve 4 = -l*q + h*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3736320 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 21\/2 of a micrometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -3, 0 in increasing order.\nAnswer: -3, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6019?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(1 + 0)*4. Let h be (-4 + 2)\/((-10)\/(-4)). Suppose -5*o = -t, -5*o + 5 = -3*t + 15. Which is the smallest value? (a) h (b) v (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*p = -11*p + 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(17) - (-5 + sqrt(17) + -1)) + (-1*sqrt(119))\/sqrt(7))*-5)**2.\nAnswer: -300*sqrt(17) + 1325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 + 275797860*q.\nAnswer: 4*q*(q + 68949465)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2*2)\/(-2) + 2. Let s(m) = -m - 1. Let o be s(-6). Suppose -1 = u*z - o. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/25 - 6\/(-10). Suppose 0 = -3*x - z + 15, -x + 5 = -i*z + z. Let v(s) = -s**2 + 7*s - 4. Give v(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -272 + 482. Let f = s - 210.5. What is the biggest value in f, -3, -0.3, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27192 and 792?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13.92 - -13.920000597. What is u rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -560217?\nAnswer: -5\/560217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.025 and -0.122.\nAnswer: -0.147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -402452431 + -21?\nAnswer: -402452452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39678 by 6.\nAnswer: 6613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1460*n + 230*n**2 - 118*n**2 + 1 - 1 - 117*n**2 + 3*n**2.\nAnswer: -2*n**2 - 1460*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g - 14 - 10 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 733 - -2015. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 144816*x**4 - 76949 wrt x.\nAnswer: 579264*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 - 10\/(-8))\/(41\/24272).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2277\/49006 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*y = 6*i - 34, 145 = 4*i - y. Suppose 10*k + 4*p - 78 = 5*k, -p - 39 = -2*k. Calculate the highest common divisor of k and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**2 - 234*k + 476 = 0.\nAnswer: -119, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -5*b - 14, -2033*y - 3*b + 10 = -2041*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120)\/(-100)*(-10)\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*s = -1050, -947 = -4*i - 2*s - 107. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/9))**(-48)\/(d**(-7\/4)*d**3)*(d**(-2)\/d)**(-4\/11)\/((d*d*d**0)\/d)**(1\/3) assuming d is positive.\nAnswer: d**(-491\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/6592776 and 29\/438.\nAnswer: 6592776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1591*f - 1536*f = -269 - 6 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58888?\nAnswer: 2, 17, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 9:44 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4212)*1.\nAnswer: 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -21, -48, -103, -198, -345, -556?\n\"Answer: -2*w**3 - 2*w**2 - 7*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -72091577810 to the nearest 1000000.\nAnswer: -72092000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -448575\/463 or -968?\nAnswer: -448575\/463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -24778, 3, 5, -1, -4 in descending order.\nAnswer: 5, 3, 2, -1, -4, -24778","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1699285980 + 0.918.\nAnswer: 1699285980.918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -7*s + 5 + 3 - 66*s**2 + 1. Suppose -5*z - 45 = -10*z. Let v be l(z). What is v rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 1 = 11. Suppose 105 = a*y + y. Let f = 279 + -195. What is the greatest common divisor of y and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -979 + 3*v + 474 - 32*v**4 + 10*v**3 + 481 wrt v.\nAnswer: -384*v**2 + 60*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/60)\/((-1)\/(-12))*-1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**4*f**3 - 136*c**4*f**2 - 2*c**2 - c*f**3 + 3*c*f**2 wrt c?\nAnswer: 24*c*f**3 - 3264*c*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -67 - (-2 + -32 - 22)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**4\/12 + 21077*u**3\/12 + 485857*u**2\/2 + 24914995*u\/3 - 25649050\/3 = 0.\nAnswer: -20938, -70, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ley when three letters picked without replacement from yemlemlemmml?\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -54, -109, -164?\n\"Answer: -55*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ik when two letters picked without replacement from kkekekikinhiiiiknn.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1589560.\nAnswer: 2, 5, 7, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 - 0. Let q = -1.8 - 1.2. Let r be 2\/4*4\/6. Which is the closest to t? (a) q (b) 3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (((-4)\/(-12))\/1)\/(-1). Let b = -4.4 + 4. What is the second smallest value in 1, b, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2358991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -s - 14. Solve 0 = -i - s + 3 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 99 = -36. Let f = 13 - g. Suppose f*b - 111 = b. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - 3*r + 6*r)*(-1 - 1 + 3) + 5*r + r - 4*r - 2*r - r + 4*r + (-3*r + 3*r - r)*(2 - 3 + 3).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 424020 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2430 and 1257480?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173635 is divided by 145.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 222, 1652, 5540, 13116, 25610, 44252, 70272?\n\"Answer: 205*k**3 - k**2 - 2*k + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y - 2*y + 7*y - 12. Let v be b(16). Suppose -25 = -v*r + 31. Is 5 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2\/3 - 56*a + 164\/3.\nAnswer: 4*(a - 41)*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-101661)\/(-84))\/(-103))\/(5*(-1)\/(-20)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 532.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 41481 greater than 41844?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21493, 30789, 46303, 68053, 96057, 130333, 170899?\nAnswer: 217773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 484, 966, 1448, 1930?\nAnswer: 2412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + a + (255 + 532 + 1045)*(-a + 0 + 0 + (-1 - 2 + 5)*(0*a - 3*a + 2*a) - 3 + 3 + a - 4*a + 4*a - a - 2*a - 2*a + 2*a).\nAnswer: -9159*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - -12. Solve 3*f - 2*u - 21 = u, -4*f = -2*u - r for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2) + -27 + 24\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1197270157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/6 - 16\/(-6). Suppose y*o - 9*o + 10 = 0. Suppose -o*r + 3*r + 35 = 3*z, -15 = -4*z - 5*r. Solve z = 3*h + 5*b + 45, h + b + 9 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3416, 14740, 33612, 60032, 94000, 135516?\nAnswer: 184580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 2.72 (c) 2040\/97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 32708.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(18))**2 - sqrt(16)\/(sqrt(32)\/sqrt(4)).\nAnswer: -7*sqrt(2) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*o + 3*o + o + (3 + 7 + 5)*(-299 + 46*o + 299) to the form v + u*o and give u.\nAnswer: 687","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z + 7. Let c be h(0). Let w = c - 9. Does -3 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 12*c**2 + 8*c + 58. What is i(13)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2497 + 2496.8. Let j = 6\/13 - 43\/65. Which is the closest to r? (a) -0.4 (b) -5\/2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 1. Suppose -4*t = -5*t - z + 2, 2*z = -5*t + c. Are t and -2\/13 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 27. Let f be -550004 + (-2 + z)\/3. Round f to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (290\/(-15))\/(((-112)\/12)\/14).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1496 is divided by 112?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 12, -2*j + 13 = -5*c + 32 + 32 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 5*c + c + (0 + 2 - 3)*(-2*c + 3*c + c) + c + 3*c - 2*c - c - c + 0*c + c - 4*c + 4*c + 2*c + 0*c - c)*(62*c - 62*c - 57*c**2).\nAnswer: 114*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98*-3026.\nAnswer: -296548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5772 and 5084540?\nAnswer: 198297060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wee when three letters picked without replacement from ennsszekkezw.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, l: 1, v: 1, w: 2}. Give prob of sequence hvl.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3435.2 - 3435.3. What is the closest to -1 in g, -3\/5, -191\/6, 1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-8)*(-49)\/(54782\/344)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 10:57 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, -0.7, -16.3, -11, 1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*k - 94. Suppose -12 = 4*d - 6*d. What is the highest common divisor of d and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 104*u - 46 = -105*u, -u + 63 = 4*x for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 333371?\nAnswer: 41, 47, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -81393614, -81393615, -81393616, -81393617?\n\"Answer: -u - 81393613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + b + 3*b - 7*b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1642486745.\nAnswer: 5, 101, 3252449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 8 = -3*b. Let r be 2 - (b + -4 - 1). Solve -r*q = -5*h + 20, -4*h + 20 = h for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -5308, -2, 3 in increasing order.\nAnswer: -5308, -4, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 6*y - 30. Let x(h) = 1676*h. Determine x(n(r)).\nAnswer: 10056*r - 50280","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(450)*2*-5)\/(sqrt(96)*5))**2.\nAnswer: 75\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**3 + 5*g**3 - 2*g**3 + (2 - 2 + 2*g**3)*(3 - 5 + 3) + 1505*g**3 - 19*g**3 + 11*g**3.\nAnswer: 1500*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = -7*x + 119. Let n = 0.24 + 0.26. Let m = 14.99 + -15. Which is the nearest to 0? (a) m (b) x (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 + 9*r - 19 + 8 to the form d + v*r and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24.57 and 21?\nAnswer: 515.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -1\/3, -5\/2, 0.3, -3.4 in decreasing order.\nAnswer: 2, 1, 0.3, -1\/3, -5\/2, -3.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 17*h - 92. Let s be r(-5). Solve -7*t = -24 - s for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**5 + 2*l**4 - 6812*l**3 + 67106*l**2 wrt l?\nAnswer: 120*l**2 + 48*l - 40872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 852\/1211 - 97\/173. Which is the nearest to -2? (a) 4\/3 (b) -17 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-189)*-3)\/(8\/16).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 43*y**2 - 4*y + 3522. Calculate q(41).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -39 times -14900.37\nAnswer: 581114.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 21 - 8*d - 11*d.\nAnswer: -19*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -0.05, 12\/22615?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 114, -1\/6, -1005, 7, 1\/4 in decreasing order.\nAnswer: 114, 7, 1\/4, -1\/6, -36, -1005","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**6\/30 + v**5\/15 - v**4\/6 - 2*v**3\/3 + 7*v**2. Factor p(z).\nAnswer: 4*(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 5*k = -5, -1 = -4*s + 36*k - 35*k for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (-3 + 6 - 19)) + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20121122322331 - 11?\nAnswer: -20121122323002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -14. Suppose 24 = -j*p + 4*q, 28 = -4*p + q + 3*q. Let d be (6\/24)\/((-2)\/(-32)). Sort p, 2, d.\nAnswer: p, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*p - 4 = 117*p. Are 5\/107 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**2 - 5*c**2 + c**2 + (12*c + 20*c - 12*c)*(3*c - 3*c - c) + 0*c**2 - 2*c**2 - 2*c**2.\nAnswer: -25*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((11 + 1 + 1)*(-k - 11 + 11) + 2*k + k + 2*k)*(4 - 3 - 3) + 4*k - k - k to the form y*k + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**6\/24 - i**3\/3 - 2*i**2. Find the first derivative of t(q) wrt q.\nAnswer: -15*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)*-1*-1)\/((sqrt(40) + sqrt(160) + sqrt(40))\/sqrt(8)))\/(sqrt(8)\/(sqrt(4)*-2*-1)*-4).\nAnswer: -sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -2 - -12) + -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 65?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 10) to base 9.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -21120201000021?\nAnswer: -21120201000002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 12*l**2 - 2*l - 4. Let m be (-54)\/(-72) + -2 + (-31)\/4. List the prime factors of y(m).\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*k - 83*k + 5*p = -23, -3*k + 5*p = -3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11325.88 * 0.03\nAnswer: 339.7764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 107 = -3*t, -4*t - 28 - 51 = -5*x. Suppose -x = -5*b + 1. Suppose 2*n - 156 = -2*f + n, 0 = b*f + 3*n - 310. What are the prime factors of f?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.467 and -0.2?\nAnswer: -0.0934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9507840 and 1238?\nAnswer: 1238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 16, h - 21 + 16 = -3*a. Let t = 22 + -37. Let x be ((216\/t)\/a)\/(45\/(-150)). Solve -z = -0*z - 3*f + x, -5*z = -f + 10 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5222208451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**2 + 4*v - 1 - 4*v + v. Let a be u(1). Find the third derivative of 4*y**a - y**2 - 2*y**3 + 2*y**2 wrt y.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or -10?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -2*n, -6 = -3*b - 2*n. Solve -4*g = -3*g + b for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + ((-9)\/10 - 7\/70). Solve -5*o = 3*q + 2, 7*q - 7 = i*q + 2*o for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (297\/(-81))\/(2 - 21\/9)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00025673902 to seven decimal places.\nAnswer: -0.0002567","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - z + 8 = 0, 0 = -s + 4*z - 8*z - 10. Let d be -6*3*s\/(-36). Find the third derivative of 31*y**3 - 7*y**d - 17*y**2 - 20*y**2 wrt y.\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 24 = -3*m, -m + 7 = w - 0. Let h(p) = -p - 1. Let g be h(-3). Suppose -w*s - g*s = -45. Solve y - 6 = -a + 2*y, 4*a - s = y for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 0.8. Let a be ((-133)\/(-38))\/((-14)\/(-16)). Which is greater: t or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - v - 54 = 0, 2*f - 3*v - 128 = -82. Suppose -3*w - f*w = -160. Let 0*s + 2\/3*s**w + 4*s**3 + 0*s**2 + 10\/3*s**4 + 0 = 0. What is s?\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -22 - 22\/((-440)\/420). What is the closest to -0.07 in -0.3, -2, n, -3\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(1\/10)*b)\/b*(b*b**(-15)*b)\/b)\/(b**(2\/7))**(-11\/6) assuming b is positive.\nAnswer: b**(-2641\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 14*r**2 - 2*r - 1. Let b be h(-14). What is the greatest common divisor of b and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2410 + -2404. Let y(c) = 3*c - 3. Let u be y(5). Suppose 3*t - 5*w - u = 0, -5*t = w - q*w - 30. Solve 4*j - 3*a - 3 = 6, -t = -j + 3*a for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7375*r - 7370*r = -40, -2*l - 56 = 3*r. Let c(p) = -10*p - 165. Determine c(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 141 and 1222?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-111)\/185 - (-24)\/15.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81620871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i**2 - 7*i + 22*i - 15*i. Let w be 6789\/7227 + 2\/33. Calculate f(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 1 - (2 - 782\/(-46)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 161139, 161140, 161141, 161142?\n\"Answer: x + 161138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/2151? (a) 2 (b) 2\/33 (c) 0.5943\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-10)\/6))\/((-24)\/(-12))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 213, 224, 235, 246, 257?\nAnswer: 268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4095 rounded to one decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/6 - 1*5\/(-3). Solve 5*s = -l*j + 3*j + 3, 13 = 5*s + 4*j for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*g + 5*p + 22315, 3*p + 555 = 40*g - 39*g. Calculate the remainder when g is divided by 144.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -3, 2444 in increasing order.\nAnswer: -3, -1, 3, 2444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1492 and 228649.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*b*c**3*n**2*t - 13*b*c**3*t**2 - b*c**2*n**2*t**2 + b*c**2*n**2*t - b*c*t - 8*c**2*t**2 + n**2*t wrt c.\nAnswer: 78*b*n**2*t - 78*b*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -276, -504, -718, -912, -1080, -1216, -1314?\nAnswer: -1368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 736854 divided by 4.\nAnswer: 368427\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 4 + 1)*(2*l**2 - l**2 + l**2) + 2*l**2 + 3 + 1 - 6 in the form j + v*l + r*l**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**3\/5 + 17*l**2\/2 - 173*l\/5 + 76\/5 = 0 for l.\nAnswer: 1\/2, 4, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41554.\nAnswer: 2, 79, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 2 + -4 + -17 + 11\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8172)\/8853 + (-235)\/13?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4*a**3 + 145*a**2 - 296*a - 147. Give m(34).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 741963?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -552*v - 1697*v + 1243*v.\nAnswer: -1006*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -391*y**4 + 19221*y**3 + 16874238*y**2 wrt y?\nAnswer: -9384*y + 115326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p + 1. Let z be r(2). Suppose -2*q = 15 - z. Let m(h) = h**2 + 6*h + 8. Calculate m(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -332123 (base 5) to base 9.\nAnswer: -16740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 86350?\nAnswer: 86344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + p + 4*p - 25, -p = s - 5. Which is smaller: 2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -p**6\/360 - p**3\/2 + 3*p. Let s(n) be the second derivative of r(n). Let t(u) = -2*u + 0*u - 2*u + 0*u. Calculate t(s(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 98749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -36*s - 2*s**2 + 1 + 45*s + 19*s + 3. Let m be l(14). Solve -4*v - m = 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-84*y**2 - 2*y**3 + 84*y**2 - 1)*(-4*y - 3*y + 6*y) + y**4 - 4*y**3 + 4*y**3 in the form l*y**4 + c*y + f*y**2 + j + w*y**3 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.85847 + 2.17524. What is t rounded to 2 dps?\nAnswer: 1.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/(-3) + 3)*0. What is the closest to 0.2 in a, 9, -2\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 1) + (5 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.74075t to milligrams.\nAnswer: 9740750000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**2 - c + 3. Let u be o(-2). Let d be (-240)\/u*2\/5. Let y = -24 + d. Solve g + y = -3*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2268829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, d: 1, g: 1, i: 1, t: 1}. What is prob of picking 2 i, 1 g, and 1 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - 8\/(-6)*6. Let d = x + -9. Which is the nearest to -2\/5? (a) -2 (b) -0.1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 68732221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 2*q**2 - 2*q - 1. Let j be w(3). Let 5*d - 2 - 2*d**j - 4*d + 3*d = 0. What is d?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247675 = -90*y + 695345. Round y to the nearest one hundred.\nAnswer: 10500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20333131033 (base 4) to base 6\nAnswer: -122304211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v + 2*v**4 + 699*v**2 - 2 + 2*v - 660*v**2 to the form w*v**2 + g*v + t + i*v**3 + m*v**4 and give w.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.20767 to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**5 + 10*d**4 - 11*d**3 - 94*d**2 + 168*d = 0. What is d?\nAnswer: -3, 0, 2, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2076*q = -412*q - 1664 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45.9 + 45. Which is the closest to -2? (a) -4 (b) f (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h - 7*h = 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95 - 36145.1.\nAnswer: -36050.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-5)\/(-10))\/((-2)\/(-20))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -351051 (base 7) in base 6?\nAnswer: -1202433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33017 is divided by 33008?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -442, -619, -792, -961, -1126?\nAnswer: -1287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*w - w + w)*(-14 - 3 + 8)*(0 + 1 + 2) in the form n*w + t and give n.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 319815446?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 1 - 1)*(-1 + 3 - 3) - 4 - 1 + 8)*(-1 - 2*r**2 + 1) + 1 + 1 - 2*r - 1356*r**2 + 919*r**2.\nAnswer: -439*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3*i = 0. Suppose -m = -2*m + 5*h - 16985, i = -3*m - h - 51003. Round m to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8006387*o**2 - 37042*o + 29 wrt o?\nAnswer: 16012774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of b**8\/42 + b**6\/12 - 2*b**5\/3 + 31*b**2 + b. Find the third derivative of f(j) wrt j.\nAnswer: 480*j**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y + 1. Let f(o) = -5*o + 4. Suppose 18*p - 107 = -20*p - 69. Let i = -11 - -7. Give i*x(d) + p*f(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.13 + 0.87. Let p = -0.8 + v. What is the third biggest value in 5, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2*z**2 - 6*z**3 - 3*z + 3*z**2 + 4*z**3 - 4*z**2 to o*z**3 + j*z**2 + x*z + i and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = u + 6. Let v = -42655 - -42657. Solve -2*d + u*t + 22 = 0, -2*t + 9 - v = 3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 0 + 5 + (0 - 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 66160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2484\/5, 1, 5, -4, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - w - 77 = 0, 2*w + 2*w = -8. Let q = -18 + g. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.5, 1\/9, 4, 0.05?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-1) - (1 + -2). Let u(s) = i*s - 4 - s + 11. Let k = -89492 + 89486. What is u(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-240)\/36 - (49\/21)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -93, -3\/37, 2\/3, -2\/5 in increasing order.\nAnswer: -93, -2\/5, -3\/37, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/5 + 35256\/(-214240) and -143\/36.\nAnswer: 18540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 10*d**2 - 3*d + 13. Let x be f(4). Let s be 6\/(-8)*(-24 + 0). Suppose -5 = -h + s. What is the greatest common divisor of h and x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15842*z - 210780 = 5236*z for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41956573 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21106321\/4 or 5276579?\nAnswer: 5276579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f + 5*q + 61 = 7*f, 4*f - 4*q = -52. Let v be 37 - (2\/9 - f\/(-63)). Let d = 164 - v. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txmomyxmoxmmoyxtm. Give prob of picking 1 y and 1 t.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, n: 11, t: 1}. Give prob of sequence nni.\nAnswer: 385\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 53*b**2 - 31*b**2 - 20*b**2. Let z(i) be the third derivative of 0*i + 0 - i**2 + 0*i**3 + 0*i**4 - 7\/15*i**5. Determine z(g(a)).\nAnswer: -112*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00430092 rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 29*d + 1. Let f(m) = 20*m + 1. Let j(p) = -6*f(p) + 4*w(p). Determine j(6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35758967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2944532989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -680.979 rounded to the nearest 10?\nAnswer: -680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -594173 by -13.\nAnswer: 594173\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-6))\/((-4)\/16). Suppose -j - 79 = -w*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(1872) - sqrt(1872)*-2).\nAnswer: 108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*d - 2331 + 11010 = 0 for d.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.4 - -4.6. Let x = -7 + j. Which is the closest to 1? (a) x (b) 2\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -430413, -860824, -1291235, -1721646, -2152057, -2582468?\nAnswer: -3012879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 10 = -5*v + 2*v, -4 = q. Suppose -30 = v*x - 5*x. Suppose -8*z + x*z + 4 = 0. What is the nearest to 2 in 4, 2, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14796*f**5*s - 8*f**3*s**3 - 5*f**2*s**3 + 27*f**2*s - 4*f + 5*s**3 wrt f?\nAnswer: -887760*f**2*s - 48*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 9198*z - 341702. Give d(37).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1028133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - 1. Let x(o) = 3*o - 4. Let q be x(a). Is q - (1 + -5 - -2) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 v, and 2 o when four letters picked without replacement from zjdddwwddojodjodvvvj.\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Round -3138.103108 to the nearest ten.\nAnswer: -3140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (96 - 73) - (52 + -3 + 5)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a week in minutes?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 58\/(8\/10 + 0 + (-490)\/175 + 4). Let x be (-3)\/(-4)*4\/1. Suppose 174 = x*q - q. Calculate the highest common divisor of q and k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*d**2 - 3*d**3 + 7*d**2 - 9*d**2 + 11*d**2.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/28 and 52\/77?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 5*m**3 + 51. Let s(q) = 9*q. Calculate t(s(g)).\nAnswer: 1215*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 11 = -13. Let u(x) = -4*x**3 - 15*x**2 + 5*x. Let l be u(-4). What is the nearest to -52 in d, 0.4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75, 67, 59?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.827 - 0.241. Let v = -1.6 - 10.4. Let k = v - t. Round k to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16549\/3366 + -1\/6732. Find the common denominator of w and -59\/5.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h = 10 - 25 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -5*i**2 - i + 5. Let b(u) = 9*u**2 + u - 9. Determine -4*b(d) - 7*w(d).\nAnswer: -d**2 + 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - 15 - (4 + -1)) + -39 + 68 + 7.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.344 + -131.289. What is a rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/6, -47\/4, -58, 2\/17, 91?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**2 - 48*w + 923. What is v(-37)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -6 + 3. Suppose t*q = 16 - 1. Suppose 59653390 = -q*i + 13653390. Round i to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -54634 and 62.\nAnswer: -54572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l + 180 = 11*l + 3*t, t + 312 = 5*l. What are the prime factors of l?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -24*g + 2111. Give y(98).\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z - 5*f + 21, -4*f + 2 = 7*z - 2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -538 - 3*y - 535 + 1613 - 540.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 2*g + 2*g + 24, 5*w - 11 = 3*g. Let q(s) be the second derivative of -s**3\/6 - 2*s**2 - 4*s. Calculate the remainder when 8 is divided by q(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/35*-5*(-14)\/(-4). Solve t = -u + 2*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 853085830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 898 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b9ac06 (base 13) to base 3\nAnswer: 22012210000220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7\/9 or -1?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000022937954 to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-4)*m)**32)**18\/(((m*(m\/m**(2\/7))\/m*m*m*m*m)\/m)**(2\/43)\/(m**8*m\/(m*m**(-1\/2)\/m))) assuming m is positive.\nAnswer: m**(2086127\/602)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**2*k**4*l + 3*d**2*k**2*l + 4*d**2*k**2 - 44*d**2*k*l + 1308*k**4*l wrt k?\nAnswer: 48*d**2*k*l + 31392*k*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 81.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 70*f**3 - f**5 + 6*f - 9*f + 4*f**3 - 22 + 0*f**5 wrt f?\nAnswer: -20*f**3 + 444*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*k - 76 - 536 - 5*k)*(6*k**2 - 3*k**2 - 2*k**2).\nAnswer: 2*k**3 - 612*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + l - 197, -4*w + 3*l + 177 = -103. Let b be 999\/18*2\/(-3). Let x = w + b. What is the smallest common multiple of x and 14?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203418.\nAnswer: 2, 3, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 7:46 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*g = -54*g - 30. Let z be (-4)\/(-5)*(70 + g). Let j = -36 + 56. What is the highest common divisor of z and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13918*k - 14282*k + 7183 = 995 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1358\/(-388) + (-3610)\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 351\/2 - 174. Let g(t) be the first derivative of -3*t - b*t**2 - t**3 + 3 + 1\/4*t**4. Let y(d) = d**3 - 2*d**2 - 2*d - 2. What is -2*g(v) + 3*y(v)?\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 + -2. Let d = g - -31. Let n = -1\/219 + -433\/1095. What is the second biggest value in 0, n, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 572?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59491346?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - -1)\/(-1)*7\/(-28). Is q*((-198)\/2)\/(-1) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7274834?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5040943 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-3))\/(4592\/(-1722))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t + 12*t = -116. Suppose -3*z = 5*l - t, 0*z + l + 7 = z. Let f = -2 + 14. Calculate the remainder when f is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -77 - -4. Let z = 75 + s. Factor 0 + 1\/3*k**3 + 0*k**z + 0*k.\nAnswer: k**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, j: 5, h: 2}. Give prob of picking 2 d.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 3:24 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0016 and -258945.\nAnswer: -258944.9984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -578.87 + 579. Let i = 396\/5 + -79. Which is the second biggest value? (a) 1\/4 (b) f (c) -0.4 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524454.6 litres in millilitres?\nAnswer: 524454600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4*i**3 + 12*i**2 - 2*i + 12. Let a(m) = 5*m**3 - 13*m**2 + m - 11. Let v(q) = 5*a(q) + 6*x(q). Determine v(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -184, -5, -4\/5 in ascending order.\nAnswer: -184, -5, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64029 and 259?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**5\/5 + 4*m**4\/5 - 44*m**3\/5 - 116*m**2\/5 - 104*m\/5 - 32\/5.\nAnswer: 4*(m - 4)*(m + 1)**3*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7162 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 106650 and 16200?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 1) + 4 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 r when three letters picked without replacement from {i: 2, f: 3, z: 2, r: 4, a: 2}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 4*x - 66 = 0, 40015 = 6*x + 40111 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -311403 (base 5) to base 4\nAnswer: -2133310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/114171747?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 j when four letters picked without replacement from ajaaatogovvvvvv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 13. Let y(s) = s**3 - 9*s**2 + 9*s - 6. Let n be y(b). Suppose -n*t + 7*t - 1655 = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/9 (b) 0.04 (c) -1 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.04671612 - -0.06828352. Let y = 0.016 + -0.131. Let u = y + k. Round u to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2 - 5*r - 5. Let p be n(7). Suppose -4*u + p = -74. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16*((-2)\/(-20))\/(1118\/(-215)) - 513\/(-1625)?\nAnswer: 1\/125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 3*x - 3. Let v(f) = f**3 + 2*f - 2. Suppose 0 = -5*y + 3*y. Suppose -3*n + 2*z + 20 = -y*z, -3*n - 3*z = 0. Give n*d(w) - 6*v(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7717025 divided by -1543405?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -69 (b) 0.03 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 100 = -5*b. Suppose 0 = -4*x + 20. Calculate the greatest common factor of x and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -151802491.138 and -2.56?\nAnswer: 151802488.578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 5688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2685 + -2685.3. What is the second smallest value in -0.16, -0.4, -8, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-183)\/6 - 3250\/(-125) - 49\/(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 858940936 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -27\/4, 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 6) in base 7?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 1856*m - 3665*m + 1837*m. Let l(d) = 3*d**2. Calculate g(l(i)).\nAnswer: 84*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 217 + -216.9. Suppose j + 9 = 4*x - x, -3*j + 2*x = 6. Put 5, j, n, 13 in increasing order.\nAnswer: j, n, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 128\/11*a - 230\/11*a**2 - 24\/11 + 150\/11*a**3 - 8\/11*a**5 - 16\/11*a**4 = 0. What is a?\nAnswer: -6, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8.36 + 0.04. What is c rounded to zero decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1157 = -5*o - 4*a, -4*o + 938 = 12*a - 15*a. Is -0.8 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2. Let v(j) = 119457280*j**2. Give l(v(x)).\nAnswer: 14270041744998400*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 79481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1244 times -0.5?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 79738570 to the power of 1\/2, to the nearest integer?\nAnswer: 8930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17 and 53502820.\nAnswer: 909547940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 8607*i - 370096. Calculate g(43).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -123135, -245166, -367201, -489240, -611283, -733330, -855381?\n\"Answer: -2*d**2 - 122025*d - 1108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1519.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/3478 and 45\/16?\nAnswer: 27824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 4*q**2 + 4*q - 2. Let p be s(-5). Suppose h = -u, p*u = -0*h - h. Factor 0*m + 5\/3*m**4 + 2\/3*m**2 - 7\/3*m**3 + u.\nAnswer: m**2*(m - 1)*(5*m - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -14\/5 (b) 3\/334 (c) -1 (d) 2 (e) -11 (f) -43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*h + 96*h + 10110 = -2970. Let d be 1 - (-95 - 0) - 1. Let s = d - h. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 21. Let g = 18 + b. Factor 90*h**4 + 27*h**5 + 17*h - 19*h**3 + 130*h**g - 5*h + 60*h**2.\nAnswer: 3*h*(h + 1)**2*(3*h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2, 1.9, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -0*s - 3*o + 72, 2*o = -2*s - 36. Let t be (-16)\/(-56) + ((-184941)\/s - 2). Suppose -20*y = -25*y + t. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 659, 2213, 4779, 8339, 12875, 18369?\nAnswer: 24803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2641675, -2641674, -2641683, -2641708, -2641755, -2641830, -2641939?\n\"Answer: -i**3 + i**2 + 5*i - 2641680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 4.6. Let f = -25183 + 528152\/21. Let a = f + 100\/3. What is the second biggest value in a, x, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 9:29 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*k + 38*k - 54 - 6678 = 0. Solve 0 = 5*u - 2*i - 91 + k, -4*u = -5*i + 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2621128013 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96, 160, 268, 420, 616, 856?\nAnswer: 1140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + (sqrt(1377) - -2*sqrt(1377)) - sqrt(1377)).\nAnswer: -15 + 54*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -8328*w**2 - 1. Let i(v) = -4*v. Calculate i(j(o)).\nAnswer: 33312*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*w - 72 = 0, 0 = 4*f - w - 133 - 6. Solve 2*z + 3*c + 5 = 0, -5*z + 3*z + f = -5*c for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -0.000175313\nAnswer: -0.0000701252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 451896 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, m: 9, x: 3, p: 2}. Give prob of sequence mv.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**3 + 53*l**2 - 26*l + 24. Determine n(-27).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 10*s = -292. Let x = 213 - s. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 626.1835ms in seconds?\nAnswer: 0.6261835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -1. Suppose 5 = k*i - 15. What is the greatest common factor of 10 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -265 + -338. Which is bigger: q or -604?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -6*g. Suppose 3*k + 2*j - 8 = -3, 4*k + 5*j - 2 = 0. Let f(z) = k*z - 3*z + z + 0*z. What is a(h) + 8*f(h)?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/((-6)\/2*100\/30).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/42? (a) 32 (b) 36 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-172 + 81*i - 106 - 83*i)*(-4 + 3 + 4) as w + n*i and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from owaswwwwwwwwaww. Give prob of sequence www.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 158 - 163. Let v = -64 + 69. Which is the second biggest value? (a) -0.5 (b) v (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28317316 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 32 - 136 = -4*x, -2*u + 68 = -2*x. Suppose 3*f = 2*k - 25, 5*f + u = 3*k - 2*k. Calculate the least common multiple of 11 and k.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 173715 and 1?\nAnswer: 173715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 151\/(-299) - ((-79)\/(-26) - (-189)\/(-54))?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -34*n**2 + 4*n - 144. Let d(j) = -7*j**2 + j. Calculate 4*d(z) - f(z).\nAnswer: 6*z**2 + 144","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4540?\nAnswer: 2, 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2791*p + 2788*p + 1356. Is 10 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -185 + 186 + (-4335)\/(-357)?\nAnswer: 92\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3*x = 18. Let j(i) be the second derivative of 1\/6*i**3 + 0 - 5*i**2 - x*i. Calculate j(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + 86*l - 1163. Calculate the least common multiple of 44 and a(69).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hhhhhhhhhvhhhhhhvh?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 513 and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 31*c - 222. What is the remainder when 288 is divided by u(10)?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 672 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 388.29 + 20.58. Round p to the nearest integer.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50*n**2*v + 2*n*v - 34*v wrt n.\nAnswer: 100*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3)\/(11\/(-165))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xr when two letters picked without replacement from {l: 1, x: 1, k: 2, r: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -0.0907, 5, -18 in decreasing order.\nAnswer: 5, -0.0907, -1\/5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5\/6, 0.1, -0.5, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11 and -133305679.35.\nAnswer: -133305668.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 281 and 49?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -622\/9, 5, 0.3?\nAnswer: -622\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17212981?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - 0.3. Let v be ((-9)\/9)\/((-1)\/(-4)) - -7. What is the second smallest value in 2\/7, v, y?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0349 take away -184?\nAnswer: 184.0349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4b1 + -335?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + -3. Let a be 0 - 1*v\/(-21). Suppose 0 = 5*n - n. Is a not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41144250 divided by 1371475.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 at least 191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -398 (base 15) to base 13.\nAnswer: -4ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 63?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/63)\/(4\/3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2530786 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**8\/k*k**(-1\/5))**15*(k*k\/(((k\/((((k*k**5)\/k)\/k)\/k))\/k*k)\/k))\/(k*k*k*k**(-1\/2))*k**(-1\/4)*k*(k\/(k*k**(5\/2)*k))\/k assuming k is positive.\nAnswer: k**(403\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z - 2 = -13*z. Suppose -z*u = s - 8 - 1, -2*s + 38 = -u. Let h = -3 + s. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of f**5\/30 - f**4\/24 + 2*f**3\/3 - 3*f**2. What are the prime factors of o(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 18 = v. Is ((-51)\/v - 3)*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 6*q - 4248 = -7*y, 2126 = 2*y - 2*q. Calculate the remainder when y is divided by 89.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cw when two letters picked without replacement from {c: 9, p: 6, w: 2}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2793.8 - -2794. Which is the closest to -1? (a) -1 (b) -1.3 (c) 1 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(-18) - 3\/(-6)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 11 = -3*f, -3*f - 3 = 5*u + 11. Let z(c) = 19*c - 4. Let v(l) = 19*l - 5. Let q(k) = f*v(k) + 4*z(k). Differentiate q(w) with respect to w.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/9 - 4\/3*b - 4\/9*b**3 - 4\/3*b**2.\nAnswer: -4*(b + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 189873709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 10020?\nAnswer: 10020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t**2 - 973098861650551*t + 973098861650551*t.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 5, 2*t - 5*n = -8*n - 39. Let m = 3 - t. What is the remainder when 62 is divided by m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 57*i**2 + 117*i + 205. What is the units digit of o(55)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.54 + 0.262. Let w = -0.8 + i. Round w to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 3*q**2\/2 + 45*q + 2392. Calculate a(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -h + 60. Let k = h + -13. Suppose -k*g = 3*z - 30, 0 = 6*z - 2*z - 2*g - 26. Put 5, z, 0 in descending order.\nAnswer: z, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1014 - -934 - (5 + -83).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a second in milliseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-301)\/(-84))\/43*0)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6251 + 2*b**3 + 6251 - 4*b**2 + 32 - 32 + 10*b**3 - 4*b**3 + 2*b**3 + 4*b**3 + (-b - 1 + 1)*(-2*b - b**2 + 2*b) + 6*b**3 - 2*b**3 - 3*b**3.\nAnswer: 16*b**3 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5280, 10562, 15854, 21162, 26492, 31850, 37242?\n\"Answer: x**3 - x**2 + 5278*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 9}. What is prob of sequence ee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v. Let a(w) = w**2 - 5*w - 1. Let r be a(6). Let k(c) = c - 1. Let n(f) = 10*f - 8. Let q(d) = r*n(d) - 40*k(d). Give x(q(p)).\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = y - 635. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -5, 38, 0.4, 3 in ascending order.\nAnswer: -9, -5, 0.4, 3, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m**2. Let q(c) = 8754*c. Determine q(w(i)).\nAnswer: -26262*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (-6 + (2 - 2)). Which is the third smallest value? (a) -106 (b) o (c) -3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 2:54 AM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -139, -131, -123, -115?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b - 1427 + 5564 - 1415 - 1448 - 1405.\nAnswer: -2*b - 131","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**2 - 304*v - 5010 = 0.\nAnswer: -15, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u - 4*u - 2*u - 4*u.\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-7)\/(-5) - ((-759)\/115 + -32 + -15)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-234)\/(-45) + 1\/(-5). Suppose -3 = 4*a - 5*i, -2*a + 0*i - i = l. What are the prime factors of (-1 - a)\/(5\/635)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 140953, 140989, 141025, 141061?\nAnswer: 141097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 74\/299, -10, -2\/11, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 769*-1.9\nAnswer: -1461.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + -0.09. Let t = h - -0.29. Which is the nearest to 1? (a) 1\/5 (b) t (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 282658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2*c + 0)*(-24 - 14 - 37) in the form s + r*c and give r.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -581*u + 185*u - 6 + 402 = 0. Let q(r) = -3*r**3 + r**2 - 3*r + 1. What is q(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = q. Suppose v = -f + 89, -5*v + q*f = -f - 439. Let w be (-2)\/(-6)*198\/6. Calculate the greatest common factor of w and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -394514 divided by -3796?\nAnswer: 197257\/1898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 131.943 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 76*v**4 - 76*v**4 - 35*v**5 + 0*v**5 - 3*v**5 + v**5 - 5*v**5 + 5*v**5 - 2*v**5 + (-v + 3*v - 4*v)*(2*v**4 - v + v).\nAnswer: -43*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -15200 divided by 950?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 54 = 3*x, -8*k + 3*k = -x + 29. Suppose 140 = x*f - 10*f. What is the greatest common factor of 1085 and f?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2035 plus 0.041182?\nAnswer: -2034.958818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1948.\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5198368.\nAnswer: 2, 7, 23, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-2)*1290\/(-6 + 1). Let z = -181 - s. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5311247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*m + 9 = -15 + 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 0) + -243 + 222 + (-14 - 2).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12221000 + 2211101?\nAnswer: -10002122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1))**14*(c**(-2\/5)\/c)**33*((c\/(c\/(c**(1\/10)\/c)))\/((c\/c**(-6))\/c*c))\/(c**0)**(-48) assuming c is positive.\nAnswer: c**(-681\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51501113 is divided by 165.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**4\/(h**(-6)\/h))**(2\/7))**(-50) assuming h is positive.\nAnswer: h**(-1100\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/8 + 87\/116.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 273 - 3*t**4 + 730*t - 1463*t - 2*t**2 + 3*t**2 + 733*t to the form v*t**3 + m*t + n*t**4 + z*t**2 + c and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 9 + 6)*((0 + 1 - 4)*(69*n - 131*n + 74*n) - 5*n + 3*n + n + (0 + 2 + 0)*(2 + n - 2)) to x*n + s and give x.\nAnswer: -595","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*9 - (-2 - -2). Let g be (69\/4)\/(z\/72). Suppose -3*k + 0*t + g = 2*t, -5*k + 4*t + 40 = 0. Calculate the remainder when 21 is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) 4 (b) 0.5 (c) -7430 (d) -4 (e) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*y + 21 = 0, n + 9 = -0*n - 4*y. Let z = 8 - n. Let j(r) = -5*r + 6. Let o(l) = 3 + 4 - 3 + 1 - 4*l. Determine z*j(k) - 6*o(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7686 and 519171.\nAnswer: 21805182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6697060894 to the power of 1\/2, to the nearest integer?\nAnswer: 81836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*j + 6 = 0, 6*v - 3*v = -5*j + 10. Let n be (-4)\/1*(-15)\/12. Suppose v = -m - n - 0. Let p(k) = k - 2. Calculate p(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence er when two letters picked without replacement from reeeeerreeeeeeee.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 35909 or 36203?\nAnswer: 36203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -6*w + 3*w + 9, -3*j + 2*w = -1. Suppose -j = 5*a + 7. Let m(o) = -5*o**3 + 3*o**2 + o - 1. Is m(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3569666 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24985 - 24713. What is the third biggest value in -0.4, 5, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 - 173. Let p = -87 - i. Suppose 2*y + 0*v = 4*v + p, v - 92 = -4*y. What are the prime factors of y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/3 - (-10)\/6. What is the derivative of -2 - 1 - 6*r - b + 9 wrt r?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1359957 to the power of 1\/2, to the nearest integer?\nAnswer: 1166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 41344002 (base 7) to base 6\nAnswer: 202235420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 4\/11, -4 in decreasing order.\nAnswer: 0.4, 4\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1156145 from -159942868.\nAnswer: -158786723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 6 = -2*d, 5*z - 33 + 10 = 3*d. Let r be 1 - (3 + 5\/d). Suppose 4*k + 2*m - 34 = 0, m - 22 = -r*k + 1. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8411.627 minutes in microseconds?\nAnswer: 504697620000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(2\/3)\/g)**4)**30)**(-2\/11) assuming g is positive.\nAnswer: g**(80\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, a: 1, j: 1, w: 4, p: 3, u: 3}. Give prob of sequence un.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -547295\/13 at least as big as -42101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4414.81 kilometers to meters.\nAnswer: 4414810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.691621 litres to millilitres.\nAnswer: 9691.621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4122 - 1878. Suppose -4*z + 2*q = -m, 2*z + 0*z + 5*q - 1146 = 0. What are the prime factors of z?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*f**2 - 13*f**2 + 14*f - 14*f + 34*f**3 wrt f?\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36697.66877 + -36924.6687581. Let q = -272 + 499. Let i = q + n. Round i to six decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5410000 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (4 + (0 + sqrt(245))*6*3*-2*5)*4)**2.\nAnswer: -141120*sqrt(5) + 127008196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 93, 101, 121, 159, 221, 313, 441?\n\"Answer: t**3 + t + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-5) + (-18)\/(-30). Suppose i = 4*m, 2*j - j + 3*m = 0. Determine b so that 1\/5*b**4 + 0*b + 1\/5*b**2 + 2\/5*b**3 + j = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**3 + 89712*a**2 + 269150*a + 179436 = 0. Calculate a.\nAnswer: -2, -1, 44859","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 6*h. Suppose 4*i - 48 - 40 = h. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 a factor of 3873612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 104515, 104375, 104235?\n\"Answer: -140*w + 104655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**2 - 5472978095730 + y**2 + 5472978095730.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-132)\/550)\/((-5)\/(1050\/(-18))).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, 2274, 3 in descending order.\nAnswer: 2274, 3, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10*(16\/20)\/(6\/105)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 218 - (113 + (146 - 133))?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 36 - 3) + (22 + -46 - -29)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 23 - (39 + -46)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(675) - sqrt(27))*6 - 2*sqrt(27)*-1) + (sqrt(75) + -5 + 3 + sqrt(75) - (-1 + 1*sqrt(75))))**2.\nAnswer: -166*sqrt(3) + 20668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4222 (base 10) to base 2.\nAnswer: 1000001111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventy-three fifths of a micrometer?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of x**5\/4 - 13*x**4\/6 - 27*x. What is the third derivative of c(s) wrt s?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20a5 (base 12) to base 3\nAnswer: -11220122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 6\/(-4))*-20. Let j be ((-8)\/m)\/(18\/(-15)). Does -5 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of n**5\/5 + n**4\/4 - 2*n**3\/3 - 50. Factor k(l).\nAnswer: l**2*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o**3 + 2*o**3 - 6*o**3)*(2 - 3 + 3) - o**3 + 2*o**3 - 3*o**3 - 18504*o**3 - 1669*o**3 - 28746*o**3 to n + w*o + u*o**2 + s*o**3 and give s.\nAnswer: -48925","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11021423 a multiple of 833?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/671904 and -89\/324?\nAnswer: 6047136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 913\/33 - (-2)\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 6*l - 3. Let c be r(-7). Let q(i) = i**3 - 3*i**2 - 5*i + 5. Let g be q(c). Is 3\/8 at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 393 = 5*v. Let n = v - -653\/5. Which is the third smallest value? (a) 0.3 (b) n (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4*b**3 + b**2 + b. Let o be l(-1). Let w(s) = 3 - 1 - s**2 - 3 - 2*s + 8*s. Is w(o) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -248778 by 6.\nAnswer: -41463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - o + o**2 + o**2 - 3*o**2 + o**2 + (0 + 0 - o)*(-2*o - 5 + 5) + 2*o**2 - 3*o**2 + 4*o**2)*(-3 + 4 + 3).\nAnswer: 20*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 422342003 + -1031?\nAnswer: 422340422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(2\/47)*o**(-1)*(o**(-4))**(-26) assuming o is positive.\nAnswer: o**(4886\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1106 (base 8) to base 6\nAnswer: -2410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 96200 + -181400. What is y rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-7) + 3046\/14. Let u = 315 - w. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 1535*s - 22. Is u(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n - 44*n**2 + 22*n**2 + 21*n**2 - 1. Let y be k(3). Is (-189 - 2)\/((y + 0)*1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.165832 and 2362387.\nAnswer: 2362387.165832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15544 and 373927?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/14, 0.4, -0.4, -0.5, -57, 16, 19\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73 + 67 = -4*k + 5*p, 8*k = -p + 34 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(2)*5 + (sqrt(16) - (sqrt(144) - sqrt(16)))\/sqrt(8).\nAnswer: 19*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/54 and -83\/270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -5.79?\nAnswer: 11.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 79901511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 145890.\nAnswer: 583560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 11*c**2 + 1330*c + 9933. Determine z(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - p = -0*z + 23, -z + 8 = -p. Let c(f) = -z + 5 - 2*f. Let l(w) = 8*w. Let n(s) = 9*s. Let t(h) = 7*l(h) - 6*n(h). Determine t(c(b)).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1818)\/15)\/(-6) + (-2)\/10. Suppose -118*j + 123*j = -b. Let u = j + 22. What is the remainder when u is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2489750, -2489751, -2489752, -2489753, -2489754?\n\"Answer: -w - 2489749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -138, 5, 4\/3, -3\/8, 3, -2\/59, -6?\nAnswer: -138","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*d + 7*d - 514 - 2*d**2 + 0*d**2 + 515.\nAnswer: -2*d**2 + 78*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 175654, 352042, 528426, 704806, 881182, 1057554?\nAnswer: 1233922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 + 11 = -4*u - 4*n, 4 = -3*u + 4*n. Calculate the remainder when 5 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*p - 36*p - 5 = 3*z, -z + 20 = -5*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 57508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -20*l - 7. Let x be o(-2). Let m(c) = -77*c + 39*c + x*c. Let y(q) = -4*q - 4. Let u(t) = -8*t - 9. Let i(s) = 4*u(s) - 9*y(s). Determine i(m(j)).\nAnswer: -20*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/45 and 65\/99.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -29, 0.3, -3, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65 - 39. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hll when three letters picked without replacement from {h: 4, l: 14}?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 669073 and 1607877.\nAnswer: 3503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*b + 5 - 36 - 16*b.\nAnswer: -93*b - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58*x**2 - 58*x**2 - 2*x**4)*(0*x + 0*x + x).\nAnswer: -2*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -17*w**3 - w**2 - 13*w + 13. Let n(h) = 4*h**3 + 3*h - 3. Determine -2*l(c) - 9*n(c).\nAnswer: -2*c**3 + 2*c**2 - c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 907 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**2 - 5*r = 0. What is r?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from xxxppxxxxpxpxxppxxx.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222770790.\nAnswer: 2, 3, 5, 11, 107, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -2. Suppose -j*y + 120 = 3*y. Suppose -5*p = -79 + y. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d**4 - 2*d**4 - 2*d**4 + (-5*d**3 + 3*d**3 + d**3)*(d + 3*d - 6*d) + 6 + 4*d**4 - 6 as z*d**4 + v*d**2 + a*d + k + l*d**3 and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5*z - 7*n + 104, 5*z - 99 = n. Suppose 0*k = -v - k - 3, 0 = 5*v - 2*k - z. Let o be (9\/(-12))\/((-5)\/(-20)). Sort o, -1, v in decreasing order.\nAnswer: v, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -503 - -501. What is the remainder when -2*(402\/(-12) + u) is divided by 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**3 - 12*o**2 - o - 2. Let f be t(6). Let m be 1\/(-1) - 24\/f. Let d(p) = 3*p - 3 - 9*p - 2*p**2 + m*p + p. Determine d(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8436.352um in nanometers?\nAnswer: 8436352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33684 by 443.\nAnswer: -33684\/443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36361917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 670*m**4 + 5*m**2 + 839*m. Let w(p) = -2346*p**4 - 18*p**2 - 2937*p. Let t(z) = -18*l(z) - 5*w(z). What is the second derivative of t(y) wrt y?\nAnswer: -3960*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 173117*a**4 - 31658?\nAnswer: 692468*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*x - 113*x = -148*x + 44*x - 6006 for x.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13105079 to the power of 1\/2, to the nearest integer?\nAnswer: 3620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -570*t**6 + 1328*t**6 - 513*t**2 + 997*t**6 wrt t.\nAnswer: 210600*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 2:59 AM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b. Let k(a) be the first derivative of -13*a**3\/3 + 7. Give k(x(u)).\nAnswer: -13*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -86*l - 88*l - 89*l + 357*l + 14*l**3 + 96 - 95*l to the form n*l**2 + i*l**3 + u + p*l and give i.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 755 divide 221548241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -36\/37 in -0.4, -34, 0.4, 0.2, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 33?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -3 (b) -0.2 (c) -8.1 (d) 4\/7 (e) 3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.3 (b) -11 (c) 2\/9 (d) 0.0296 (e) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and ((-1341)\/2 + 0\/(-2))\/((-16)\/96).\nAnswer: 4023","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 2. Let l = 4005 - 4005.4. Which is bigger: g or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16.6 + 2.6. Let i = y + 10. What is the nearest to 2 in 3, i, 1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*g - 3*o + 2*o, -2*g = 4*o - 4. Suppose g = -d - 0*d + 132. What are the prime factors of d?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -6*r - 8. Let v be w(7). Let y = 7 - v. Suppose h = 4*h - y. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 754 - 755. Let p = 0.11 + -4.11. Are p and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88446961 to the power of 1\/2, to the nearest integer?\nAnswer: 9405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)*2*-4 - sqrt(114))\/((sqrt(864) - sqrt(54)) + sqrt(6)) + 5 + ((sqrt(209)*-1 + sqrt(209))*6)\/sqrt(11).\nAnswer: -9*sqrt(19)\/10 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1268*u - 8199 = -56383 for u.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + t - 8 = 2, -8 = 4*v - 4*t. Let u = 25 - 30. Suppose -2*f = -j + 6*j - 23, 0 = -4*j + f + 8. Sort j, u, v in descending order.\nAnswer: j, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + (-16)\/(-10))\/(6\/120). Let d(r) = -4 + r**2 + 14 + 9*r + 0. What are the prime factors of d(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5832 and 4.\nAnswer: 5832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 12:49 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 167.95 - 217.3. Let f = c + 49.3. Is f != 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**5\/3 - 94*y**4\/3 - 2470*y**3\/3 - 13912*y**2\/3 - 20785*y\/3 - 9250\/3 = 0.\nAnswer: -50, -37, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -193702, 1\/2, 5, 9, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 1 = 5. Let v be k\/(-2)*4*3. Let x = -10 - v. Is -4 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*u - 2884 = 0. Let r = u - 81. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cckkcckcmccckakkkm. What is prob of picking 1 c and 1 a?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -91*n**3 + 4*n**2 + 2*n + 17. Let r(y) = 364*y**3 - 18*y**2 - 8*y - 68. Let f(d) = -9*h(d) - 2*r(d). What is the second derivative of f(i) wrt i?\nAnswer: 546*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*sqrt(112))**2*3 + -2*(sqrt(7)*1 + -2).\nAnswer: -2*sqrt(7) + 1348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -272*n + 106623 = -245*n. List the prime factors of n.\nAnswer: 11, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*u**2 + 64*u**2 - 197*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/(21\/(-6)) + 1. Suppose -2*t + 0*p = 2*p - 8, -p = 3*t - 12. Suppose -l + 2 = l, 3*l + 13 = -t*o. Put o, 2, b in decreasing order.\nAnswer: b, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42366?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -30 (b) 5 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(405))**2*-5 - (sqrt(405) + -2 + 3).\nAnswer: -2026 - 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + -14.5. Let i = d - 14.499245. Round i to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 - c**2 + 3*c**2)*(8473*c**3 + 2*c - 8442*c**3 - c).\nAnswer: 62*c**5 + 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + 404.877329?\nAnswer: 404.677329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33 - -50. Does 8 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 + 1719022*i - 1719023.\nAnswer: (i - 1)*(i + 1719023)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -5. Let g(t) = 1 - 174*t + 182*t - 4. Calculate g(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 315470 and -9?\nAnswer: 315479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10526166, -21052327, -31578488, -42104649, -52630810, -63156971?\nAnswer: -73683132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 114.688 - -15099.\nAnswer: 15213.688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 120763655 to the power of 1\/2, to the nearest integer?\nAnswer: 10989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 423\/(-63) + 7 - 136\/(-14). What is the third derivative of -50*r**5 + f*r**2 - 134*r**4 - 70*r**2 + 134*r**4 wrt r?\nAnswer: -3000*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 6.067, 0, 0.06, -5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**3 + 3*m**2. Let n be v(2). Let f = 266 + -264. What is the second smallest value in 1, f, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3512, 13497, 30138, 53435, 83388, 119997?\n\"Answer: 3328*z**2 + z + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**5\/5 + 9798*x**4\/5 + 306154*x**3\/5 - 2433534*x**2\/5 - 9296648*x\/5 - 1313352 = 0. Calculate x.\nAnswer: -37, -2, -1, 9, 4930","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*r + 3 = -77 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30456 and 16?\nAnswer: 60912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/135*6\/(-4)*5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*b**3 - 14*b**3 - 2*b**4 + 16*b**2 - 15*b**2 + 4*b**3 - b to the form n*b + a*b**4 + v*b**3 + i*b**2 + y and give v.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -25*n + 109. Let v be d(4). What is the third derivative of 27*s**6 + 18*s**6 - 14*s**6 + 6*s**2 + v*s**2 wrt s?\nAnswer: 3720*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**2 - 4 + 4 - q**2 + q**2 - 3*q**2 + (q - q - 2*q)*(-12*q + 6*q - 11*q).\nAnswer: 30*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10480 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 h when three letters picked without replacement from {h: 3, s: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256388961 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.8 - 0.8. Let y = 6.9 - -5.7. Let a = y + -13. Sort a, 0.2, j.\nAnswer: a, 0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15379305 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 + -41. Suppose -4*v + 5*l + 9 = -2, l = 4*v + 1. Which is the third smallest value? (a) -0.5 (b) f (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -1246832 - 5*y - 12*y**2 + 13*y + 1246840. Let s(r) = -4*r**2 + 3*r + 3. Calculate -5*m(n) + 14*s(n).\nAnswer: 4*n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 22406.17 to the nearest 100.\nAnswer: 22400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -f**8\/6720 + f**7\/420 + f**6\/360 - f**5\/24 - f**4\/2 + 4*f. Let y(k) be the third derivative of p(k). Does 15 divide y(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = n - 3, 0 = -n - 0*n - 5*x + 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 713 - -277. What is the lowest common multiple of u and 1089?\nAnswer: 10890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 9, -39, -5, -3, 42.\nAnswer: -39, -5, -3, 3, 9, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t**3 + 10*t**2 + 5*t. Let w(p) = 2*p**3 + 5*p**2 + 3*p. Determine 3*c(l) - 5*w(l).\nAnswer: -l**3 + 5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/3 of a hour in minutes?\nAnswer: 1220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -99 + 77. Which is bigger: h or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*x + x**2 + 39*x - 122*x + 13 + 2*x**3 + 41*x + 38 to the form s + o*x**2 + v*x**3 + d*x and give s.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 1 = 2*y - 10, -24 = -3*y - 5*i. Solve -2*n - 3 = y for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 523740 a multiple of 435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 48 = 4*k, -7*k = -3*k + 3*a + 13 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5575570 (base 10) in base 15?\nAnswer: -75204a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/200)\/((-63)\/18).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -14, 1\/356, -2\/7, 5, -2\/5, -2\/9?\nAnswer: 1\/356","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 3*h - 10, 0*c = 5*h - 4*c + 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of a**4\/6 - a**3\/2 + 5*a**2. Let f(n) = -3*n + 2. Suppose -5*k - 5*q = -40, 5*k + 2*q = 6*q + 13. What is k*f(b) + 4*u(b)?\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(16\/(-20)*-1*1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4709*q**3*s - q**3 - q**2 + 6533*s wrt q.\nAnswer: 28254*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 11*n - 20. Suppose 3*d = -n*j - 83, 2*d + 87 = -5*j + 20. Let x = 104 - d. What is the highest common divisor of 50 and x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2939.15 + 2939. Which is the closest to 1\/2? (a) y (b) 0.2 (c) -2 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zwwvzwzgzzvjwg. What is prob of sequence jvw?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*g - 2*g - 2*o, 36 = 4*g + 5*o. Suppose 2*d + z = 4*z - 6, -g*d - 5*z - 34 = 0. List the prime factors of 1 + 0 + 36 + -7 + d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v - 40 = 5*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 731933701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-16) + 51\/4. What is the third derivative of -15*x**2 + 5*x**6 - 6*x**6 - x**2 + u*x**6 wrt x?\nAnswer: 1440*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pnnwhwhnpwvnwvwpvw. Give prob of picking 2 p.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 27500*p**5\/3 - p**4\/24 - p**3\/6 - 2*p**2. Let l be c(-1). Round l to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**(-5\/3)))\/(f**10*f) assuming f is positive.\nAnswer: f**(-38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 2. Let r be 1 - (0 - (2 + v)). Suppose r*k + k = 380. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 103*a = -19*a - 112*a. Solve 4*j + 8 = a, -27*j = -c - 25*j for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 7245.\nAnswer: 7245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p - 4. Let u(b) be the third derivative of -b**5\/60 + 7*b**4\/12 + b**3 - 11*b**2. Let g be u(14). Suppose 3*m - m + g = 0. What is n(m)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 2)*35\/(-40)*20. What is the highest common factor of l and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k + 219. Let j be b(-67). What is the greatest common factor of j and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of j**6\/120 - j**5\/15 - j**4\/24 + 2*j**3\/3 - 39*j**2\/2 - 45*j. Let b(v) be the first derivative of h(v). Factor b(o).\nAnswer: (o - 4)*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -31, -0.2, 1\/20, -34\/15?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 31972906 divided by -854\nAnswer: -37439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5 + 1 = 0. Let n be (10\/x)\/(0 - 2\/(-4)). Suppose n*g - 6 = 3*g. Solve 2 = -h + g for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48915202*l**2 + 70160063*l.\nAnswer: -97830404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1\/22, -1\/4, -2, 0.7 in descending order.\nAnswer: 0.7, 1\/22, -1\/4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 904544 + -2624986715\/2902. What is the common denominator of 65\/2 and a?\nAnswer: 2902","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -1.2. Let o = m + -0.3. Let s = -283\/1626 + 2\/271. Which is the biggest value? (a) o (b) -0.4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/2 - 99*z + 9801\/2.\nAnswer: (z - 99)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i**3 + i**2 + 1. Suppose -9 = 5*u + 4*q + 6, 3*u + q = -2. Let r = -3 + u. What is the remainder when k(r) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -52678*m**2 - 4 + 4 + 52926*m**2 + (-2 + 1 + 2)*(m**2 - 3 + 3) as f*m + v + o*m**2 and give o.\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w + 7349 = 789. Let u = w - -410. Solve i + 5*n = -u*i + 16, i + n = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -212120 (base 4) in base 7?\nAnswer: -10106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-5) - (17 + (-144)\/9).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 152885 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuucccucuucu. What is prob of picking 3 c?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -6342000 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181*c + 7 - 4 + 188*c.\nAnswer: 7*c + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -78*y - 14. Let d = 2360 - 2354. Let i(f) = -26*f - 5. Determine d*h(m) - 17*i(m).\nAnswer: -26*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 560 + 625 = 0. Let w = x - 133. Suppose w = 2*a + 68. Is 37 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1369*d**3 - d - d + 3462*d**3 - 4876*d**3 to x*d**2 + k*d**3 + p*d + z and give k.\nAnswer: -2783","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*(-3)\/7)\/((-7)\/((-392)\/(-176)))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 158731802 to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.14 or 3417?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -777*y**2 + 937*y**2 - 157*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) 3\/22 (c) 110 (d) 4 (e) -22 (f) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p = 1006 + 879. Let l be 2*-10*(-30)\/4. Let j = -101 + l. What is the remainder when p is divided by j?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122, 60, -2, -64?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -78\/11 - -35\/22. Do -7 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = d - 2*u + 3*u - 10, -2*u = 3*d + 3*u - u for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*1*(-5 + -4 + (sqrt(176) - (sqrt(176) + -1 + -5)**2) + -1*sqrt(176) + sqrt(176) + -3 + -1).\nAnswer: -260*sqrt(11) + 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5\/(-15) - -1)*150\/20. Is j at least as big as -3\/80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a milligram in micrograms?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a - 25*a = 36 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1071 by 119.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and (-6 - (1 - -4))\/((-3)\/3).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**3 - o**2 - o - 1. Let f(v) = 2*v**2 + 5*v - 4. Let w be f(-3). Give n(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41748 is divided by 167.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2383 = 2379?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 15*z + 1832 = 11*z, 2*b - 3*z = 1830. List the prime factors of b.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153279739?\nAnswer: 153279739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 9 + 29. Suppose 10*v - 468 = -29*v. Suppose 4*f + x - v = -2*x, -2*x = 0. Solve -2*b = -f*b + s for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 356 and 604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 276*s - 320 = 268*s. Calculate the remainder when 234 is divided by s.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*g - 93*g + 33986 - 33965 - 49*g.\nAnswer: -g + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 4 = 5*u - 3*j, 3*j = -9. Suppose -2*g = 0, -8*g = -l - u*g + 8. Let k = -14 - -28. What is the lowest common multiple of k and l?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48829753 and 7847.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*y**3 + 737 + 35*y**3 - 366 - 371.\nAnswer: 95*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**2\/7 - 5506*f\/7 - 7579009\/7 = 0 for f.\nAnswer: -2753","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(6\/7)\/t*t*t**1)\/((t*t\/(t*t**7))\/t**(-2)) assuming t is positive.\nAnswer: t**(41\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 136*m**2. Let f(u) = 2644*u**2. Give f(i(a)).\nAnswer: 48903424*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**2 - 11*n - 13. What is the remainder when j(-8) is divided by ((-27)\/(-15))\/(14\/350)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -68.018 + 68. Round f to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 175\/(-140) - ((-6)\/4)\/(6\/8). Let j = 3.89 - -0.11. Let d = 1 - j. What is the third smallest value in -0.3, d, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*y + 5*b = 37*y - 22, -4*y = 2*b for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81526, 81558, 81594, 81634, 81678, 81726, 81778?\nAnswer: 81834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -48*o + 12 + 38*o + 24*o + 0. Does 12 divide w(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + 2 + 13 - 5) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*q - 11, q + 1 - 7 = -3*f. Suppose n + q - 7 = 0. Suppose n*p - 30 = 3*p. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, 1181, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**2 - 37*o + 49. Calculate q(2).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(30)*-1)\/sqrt(6) - (sqrt(5)*1 + -3)) + 2)**2.\nAnswer: -20*sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -706 + 29. Let x = 677.00000517 + z. Round x to 7 decimal places.\nAnswer: 0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 9:51 AM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 12:42 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**2 + 249*h - 1133. Let c(d) = -2*d**2 - 244*d + 1134. Let x(l) = -5*c(l) - 6*z(l). Factor x(m).\nAnswer: -2*(m - 4)*(m + 141)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z + 36 = 6*z. Find k such that 3*k**2 + 5*k**z + 6*k**2 + k**3 - 31*k + 16 = 0.\nAnswer: -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (-17 + -13) - 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 6*v**2 + 2*v + 4. Calculate the remainder when 47 is divided by j(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4276443.\nAnswer: 3, 1425481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, d: 2, u: 1, v: 1, g: 3}. Give prob of sequence guv.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -306 (base 7) in base 11?\nAnswer: -12a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 0*i + 0*i**2 - 2\/7*i**3 + 25. Let l(c) = 0. What is c?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4167406 divided by -118?\nAnswer: 35317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2\/5*l**2 - 4\/5*l**3 - 9\/5 + 12\/5*l - 1\/5*l**4 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 8 (b) -2\/5 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 4300888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.158 + 0.258. Sort -3, 0.3, -2, l.\nAnswer: -3, -2, l, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 182 (base 10) to base 8.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - ((18 - -2) + -54)) + 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8641, -35023, -78983, -140515, -219613, -316271, -430483, -562243?\n\"Answer: w**3 - 8795*w**2 - 4*w + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 266*h**3 + 50*h - 163. List the prime factors of x(4).\nAnswer: 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - (-1)\/1)\/2. Suppose -f + 5*o + 108 = p, 4*f + 2*o - 5*o - 347 = 0. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 176 and 44.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 852*h**3 - h**2 - 3*h + 3. Let a be v(1). Suppose -148 - a = -37*s. Solve -w - 2*z - 31 = -6*w, -s = -3*w + 4*z for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*r**2 - 5 + 5 - 9*r**2.\nAnswer: -20*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from zzou.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 774 a factor of 25861340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1001100101111010000001 (base 2) to base 16\nAnswer: -265e81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/355108 and 173\/409740.\nAnswer: 5326620","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 2856 divided by -476.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 100, 204, 308, 412?\n\"Answer: 104*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.7303 to 1 decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1814 (base 10) to base 2\nAnswer: -11100010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/4728 and -59\/1379.\nAnswer: 33096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 738641 to the nearest integer?\nAnswer: 859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**5 + 45*z**3.\nAnswer: -5*z**3*(z - 3)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -147 - -403. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 6) to base 11\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -304649.68 rounded to the nearest 10000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of w**5\/480 + w**4\/192 - w**3\/24 - 8*w**2. Determine v, given that n(v) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -128 - -140. Which is the nearest to -0.2? (a) u (b) 2\/3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 262.729 and -0.4.\nAnswer: -105.0916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 20 = j, 0 = -p + 3*j - 17. What is the remainder when 3\/p + (-340)\/(-8) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 892856525 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 217100 and 712400.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 676933?\nAnswer: 151, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2688 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 6528?\nAnswer: 32640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -184? (a) 4 (b) -14 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 2*r**2 + r - 2. Let j be v(-3). Suppose j*b - 11 = 13. What is the tens digit of 58\/b - (-5)\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 w when two letters picked without replacement from fgwjjjjfw.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*d - 42. Calculate the highest common divisor of 85 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*x - 40*x - 41*x = -12 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28.041 - 28.04120671. Round p to 5 decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -25014 (b) -2\/13 (c) 4 (d) 3 (e) -7 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 5*i**3 + 11208110*i**2 + 22416205*i + 11208100 = 0.\nAnswer: -2241620, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -4*z + 12, 0 = -2*s + 7*s - 2*z - 22. Suppose -7*c + 4*f + 18 = -2*c, -14 = -s*c + 3*f. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 - 1)*(18 + 2299*p - 300*p - 10 - 5) to t + z*p and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*i**3 - 2*i**3 - 3*i**3 + (4*i + 0*i - i)*(0*i**2 - 2*i**2 + 3*i**2) + 8*i**3 - 4*i**3 + 0*i**3 + 15*i**3 + 28 - 28.\nAnswer: 23*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**2\/7 + 13485*l - 11560842\/7 = 0. What is l?\nAnswer: -31587, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1860619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.62 (b) 38 (c) -71\/4 (d) 2 (e) 1\/7 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-24)\/10)\/(3\/(-10)). Let f(a) = -a**3 + 8*a**2 + 3*a + 11. Let u be f(h). Suppose -4*v = -9*v + u. Solve -y + 2 - v = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3 + 0 + 1 + 48*d - 47*d. Give q(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.3 - -3.17. Let y = 84440.7 - 84441. Which is the biggest value? (a) 3\/17 (b) y (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of q*t**2 - 3*q*t*z - 3*q*z + 202*q + 6*t**2*z - 2*t**2 wrt z?\nAnswer: -3*q*t - 3*q + 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 7*m = -2*c + 24, 4*m = 3*c + 10. Solve m*f = f + 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1112463007.\nAnswer: 1112463007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10702384 and 714.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**1*c**(-2\/17)*(c**(-15)*c)\/(c*c**(-13)) assuming c is positive.\nAnswer: c**(-19\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 232172, 231568, 230962, 230354, 229744?\n\"Answer: -t**2 - 601*t + 232774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-4)*-5 - -4)*2866. Suppose 9*d - r = 4107. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37436?\nAnswer: 2, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3819634?\nAnswer: 2, 7, 13, 31, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhghqrgfaaq. Give prob of picking 1 q, 1 g, and 2 a.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 5. Suppose k*m - 7 = -m. Solve m + 3 = -5*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a - 2. Let i(z) = 1. Give -4*i(r) - l(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3407*m - 7957 = -7668 - 89078 - 170143 for m.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 5012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 224 + -219. Solve 0 = f - 4, m*f = -2*t + 13 - 1 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 71, -1\/100, 6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*k + 2512873 + 99548. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3621 + 3621.0002489. Round f to five dps.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/4488*12 - 1\/(-17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6040 + 6040.0034217. Round o to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j - 11*j. Let y be j + 4 + -11 + 0. Which is smaller: y or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.6 + 0. Suppose -58 = 6*i - 82. Sort -0.1, b, -2, i.\nAnswer: -2, -0.1, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -w**8\/336 - 13*w**7\/210 + 3*w**6\/8 - 47*w**5\/60 + 2*w**4\/3 - 2736*w**2 - w. Solve u(d) = 0.\nAnswer: -16, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5537.404 millilitres?\nAnswer: 5.537404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o = -11*o + 22*o - 400 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/5, -0.27, 3, -41?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/18095 and 42\/9889?\nAnswer: 16267405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 11:03 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/10)\/(36\/48)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1735*d + 1780*d = 747*d - 69903 + 3471 for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*v + 13 + 13 - 31 in the form s*v + r and give s.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3*-13742.9\nAnswer: 41228.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 62\/7 of a week?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -8*x**3 + 3*x**2 + 9*x - 17. Let v = -118 - -120. Let c(g) = 2*g**3 - g**2 - 2*g + 4. Give v*t(n) + 9*c(n).\nAnswer: 2*n**3 - 3*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*d - 36 = 10. Solve -6*n - 16 = -d*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**2 + 468303*q - 17323104 = 0 for q.\nAnswer: 37, 156064","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**4 - 592*i**3 + 2*i**2 + 270552*i + 6?\nAnswer: 12*i**2 - 3552*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -w**4\/4 + w**3\/3 + w**2\/2 - 60. Calculate m(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 6*v**2 + v + 8. Let k be i(-6). What is the remainder when k - 0 - (-41 - -2) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1001 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -425.\nAnswer: 3\/425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -165.88 - 1.4.\nAnswer: -167.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + 14. Which is the smallest value? (a) 4 (b) x (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -113\/8, 0, -4, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/2700 and -85\/324?\nAnswer: 8100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 6, d: 2, i: 1, o: 1, n: 2}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26518*z**3 + 19544*z**2?\nAnswer: 159108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/((-21780)\/205) + 1 - 1 and -59\/330?\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13833000479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 598340351 to the nearest integer?\nAnswer: 843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10056121 (base 7) in base 12?\nAnswer: 34491a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -659445*l = -659240*l + 1435 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -711 + 768. Suppose 0 = h*s - 63*s + 7410. What are the prime factors of s?\nAnswer: 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 + 3)*13\/(-1). Suppose 8*x - 280 = 64*x. Sort 0, x, 4, n in decreasing order.\nAnswer: n, 4, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -91*w - 1168. Let i be j(-13). Sort 3, 20, -7, i.\nAnswer: -7, 3, i, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -10*l**3 - 23*l**2 + 44*l + 46. Is x(-19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.99 - 1. Let u = 2.1 - -1.9. Which is the second smallest value? (a) u (b) j (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -211, -667, -1553, -3013, -5191, -8231?\nAnswer: -12277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 302 or 306?\nAnswer: 306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 645533229 to the power of 1\/3, to the nearest integer?\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -374.29 and -1788.\nAnswer: 669230.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -p - 3*p. Let m be ((-12)\/5)\/(p\/(-350)). Calculate the greatest common factor of m and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*n**2 - 9 - 2*n**4 - n + 24 - 13 in the form y*n**4 + g*n + c*n**3 + m + d*n**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -19, -49, -105, -193?\nAnswer: -319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f*f**(1\/8))\/f*f*f\/f**(-22))\/((f*f*f**(2\/11)*f*f)\/(f\/(f**(-3\/4)\/f)*f)) assuming f is positive.\nAnswer: f**(2173\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 9, d: 11}. Give prob of sequence bddd.\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42)\/(sqrt(7)*1))\/(-3*sqrt(9)\/sqrt(3)) - -6*(sqrt(162) + 0)*4)**2*6.\nAnswer: 1674436\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 0*l - 4*l = -5, l = 5. Solve -5*b - 22 - u = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2274, 2275, 2276, 2277, 2278, 2279?\n\"Answer: a + 2273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1\/3, -6.19 in increasing order.\nAnswer: -6.19, -1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -1863, -4 in increasing order.\nAnswer: -1863, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 201474?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2239 to the nearest 100.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 387890240?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -5*v - 7, -x - 8*v + 8 = -3*v for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141864312*d**3 + 70932161*d**3 - 18 - d**2 + 18 + d**2 + 70932149*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cycyccccccyccccccccc. What is prob of sequence ycy?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a millennium in centuries?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 4*b. Let w be f(3). Let x = -1 + w. What is the first derivative of -3 - t**4 - t**2 + 2*t**2 - t**x wrt t?\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 598*z = 555*z + 86 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -29*b - 4. Let f(o) = 19*o + 2. Let p(z) = -8*f(z) - 5*y(z). Let t(h) = 14*h - 7. What is -5*p(k) - 3*t(k)?\nAnswer: -7*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 86, 6, -4, 4, -3, 15 in decreasing order.\nAnswer: 86, 15, 6, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -319 - -319. Suppose -j - 3*x - 2 = w, -4*j - 11 - 13 = -4*x. Which is smaller: j or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.012 and 0.097?\nAnswer: 0.001164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + 2\/2 + -1. Suppose 3*r - 3*f = 24, -f = 24*r - 29*r + 20. Solve -p = -r*j - 14 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 8*l + 11. Calculate the lowest common multiple of o(-7) and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*o - 45618, o - 3*k - 14202 = 8617. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*l - 13 + 47 = 0, s - 34 = -3*l. Find the second derivative of 6*b + 0*b + s*b**5 + 11*b**5 + 36*b wrt b.\nAnswer: 900*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 0 - (-69 + 32 - (-41 - -8)) - -12?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -1 - 5. Suppose n = -2*x + s*n + 47, -n = 5*x - 100. Is 13 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*p + 18*p - 32*p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 5*u = -24 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**3\/5 + 78*p**2\/5 + 336*p\/5 + 344\/5 = 0. What is p?\nAnswer: -2, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*w + 9, -4*q + q + 22 = -5*w. What is the biggest value in q, 0, -20?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1027307?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 154*g + 131. Let c(s) = 72*s + 63. Determine 5*c(n) - 2*u(n).\nAnswer: 52*n + 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2, -16, -4, 1.\nAnswer: -16, -4, -2, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j**3 + 30 + 7 - 5*j**2 - 3*j**3 in the form n*j + x*j**2 + v*j**3 + w and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 7*b**2 + 1914*b + 9402. Give o(-5).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 121.43 + -121.53. Suppose 0 = -5*n + z - 6 - 2, -2*n - 2*z = 8. Which is the nearest to v? (a) n (b) -0.3 (c) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8346 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*n**6*w - 12556*n**3 - 976*n**2 - 2*n*w + n + 2*w wrt n.\nAnswer: 1320*n**3*w - 75336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -1, 0, 9, 4 in decreasing order.\nAnswer: 9, 4, 0, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.659? (a) -0.4 (b) 0.3 (c) -2\/9 (d) 0.764\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*k - 83 - 19 = -12. Let s(d) = 3*d**3 - 3*d**2 - 3*d - 6. Let h(y) = y**2 + y + 1. What is k*s(n) + 3*h(n)?\nAnswer: 3*n**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2178?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 8*k**3 + 7*k**2 + 39*k - 1. Let j(g) = -7*g**3 - 6*g**2 - 40*g + 1. Give 9*i(w) + 10*j(w).\nAnswer: 2*w**3 + 3*w**2 - 49*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-50 + 0 + 7*q - 9*q)*(q - 3 + 3) to the form i + k*q + c*q**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -6) + 8 + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 12:10 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 + -0.1. Let q = 3.2 + -6.2. What is the nearest to 0 in 1\/3, d, q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 36 - 9 = -3*g, -5*h - 2*g = -7. Suppose -3*i + 3*p = -1458, 6*i = i + h*p + 2420. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 7 = 7*f - 3*f, -z - 4*f - 13 = 0. Let m = z - -10. Suppose -3*b = -1 - m. Sort 3, b, -3 in descending order.\nAnswer: 3, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*m**5 - 173056*m**4 + 2*m**2 - 10076104*m?\nAnswer: -100*m**3 - 2076672*m**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of z**5\/20 - 5*z**4\/12 - 2*z**3\/3 - z**2 - 6*z - 1. Let t(g) be the first derivative of r(g). What is the units digit of t(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.53 + -0.52999884. Round c to 7 decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, -6\/5, -3.1, 0.1?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1543 - 997. Let g = 552 - t. Solve 3*d = 3 - g for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1476681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-8))\/((-5)\/(-10))*4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293 - 119 + 225 = 21*i for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 207 and 1702.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*i**2 - 11993773 + 11993773.\nAnswer: -58*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -197*u - 5287. Determine g(-27).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 86, 1\/18, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 k when four letters picked without replacement from jjjjkkvkjjjkjktjk.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w**3 + 3*w**2 - 19*w**4 + 17*w**4 - 3*w + w**2 - w**3 + 3*w**3 - 2 as m + q*w + z*w**3 + f*w**4 + l*w**2 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 68?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(3\/28)*y)\/y**(-22))\/((y\/y**(-29))\/(y**9*y)) assuming y is positive.\nAnswer: y**(115\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44 and 164?\nAnswer: 1804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -8. Let i be (-2 + 4 - 36)*(5 - 6 - 1). Put -3, -2, i, l in descending order.\nAnswer: i, l, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 425885539.\nAnswer: 4931, 86369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o - 5. Let v(x) = 6*x + 13. Let d(f) = 26*f + 56. Let u(l) = 2*d(l) - 9*v(l). Determine 5*q(s) - 4*u(s).\nAnswer: 3*s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 87346992228015+4\nAnswer: 87346992228019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**(-1\/5)*x*x)**(-34)\/((x**(-1\/4)\/x)\/(x\/x**(-10))))**(-5\/13) assuming x is positive.\nAnswer: x**(2339\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*s + 2*c = 143*s - 7, 0 = 2*c - 18 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506067 is divided by 38927.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 729\/18 - 2\/(-4). Suppose o - p - 3 = 0. Does 15 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-6\/11)*i**2)\/(i**(-1\/20)*i\/(i\/(i*i**1\/i))))**(-1\/65) assuming i is positive.\nAnswer: i**(-111\/14300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 31011339?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + 8. Let z = 33 - x. Suppose 4*v = h - 0 - 10, 5*v = z*h - 35. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-8)\/(-32))\/((34\/40)\/(-17))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - j**2 - 1. Let w be h(3). Let k = w + 286. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -3. Suppose -v*q = -7 - 17. Let u be 12\/48 - (-14)\/q. Solve -u - 6 = -4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(3 - 4))\/((-5)\/10). Suppose 5*x = -i*f - 0*x + 106, -3*f - 3*x + 141 = 0. Which is smaller: f or 44?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(8)\/sqrt(4)) - (sqrt(28) + sqrt(56)\/sqrt(2)).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1.246602 months?\nAnswer: 0.0001038835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 76538478 and 76538480 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 5*a**3 - 3*a**2 + a + 4. Let g(d) = 14*d**3 - 8*d**2 + 2*d + 11. Let j(x) = -7*x**2 - x. Let i be j(1). Calculate i*z(h) + 3*g(h).\nAnswer: 2*h**3 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 207 = 5*c, 2*c = 3*v + c - 285. Suppose -11*a = -v - 80. Suppose 3*s - a + 4 = 0. Solve 0 = -3*n + 19 - s for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 times 134?\nAnswer: -17822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3040\/(-14440) + (-3)\/((-1881)\/(-438))?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -0.2379?\nAnswer: 0.02379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 148.25 times -0.9?\nAnswer: -133.425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1014767, -1014768, -1014769, -1014770, -1014771, -1014772?\nAnswer: -1014773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4*p**3 - 27*p**2 + 21*p + 23. Let h be (17 + -10 - 2)*(-12)\/(-5). Is t(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 51*r**2. Let a(i) = 17*i**2. Determine 17*a(n) - 6*q(n).\nAnswer: -17*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -26 - 130 - 140 + 433 - 132 - 7*p. Let u(w) = 6*w - 4. What is 5*f(n) + 6*u(n)?\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -2. Suppose -409*j - 3*f - 18 = -412*j, 0 = -4*j + 3*f + 22. What is the lowest common multiple of j and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, -338, -154?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -14*o**2 + 4. Let x be p(2). Which is the nearest to 0? (a) 2\/9 (b) x (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 - 20062731 + 20062731.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/7 - 12*w**2\/7 - 194*w\/7 - 60.\nAnswer: 2*(w - 14)*(w + 3)*(w + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8808143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -2 (c) -9 (d) 2.93 (e) 1119 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*9 - (5 + -5). Suppose -8*l - 8 + 16 = 0. Let n be (44 + l)\/(-3)*(-7)\/21. Solve n*v + 7 = -o for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**5 + 12*u**4 + 6*u**3 - 20*u**2 = 0. What is u?\nAnswer: -5, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -21*k - 7. Let a(z) = -64*z - 20. Determine 5*a(g) - 14*m(g).\nAnswer: -26*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1841, -1843, -1845, -1847, -1849?\n\"Answer: -2*y - 1839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2818 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 0*q**3 - 95\/4*q**4 + 157 - 125\/2*q**2 + q. Find the second derivative of c(j) wrt j.\nAnswer: -570*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66, -3, -4, -7, 4, 31.\nAnswer: -66, -7, -4, -3, 4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 499 + 1. Let f = -58 - q. What is the remainder when f is divided by ((-66)\/4)\/(3\/(-4))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17766 and 189?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -16.986746.\nAnswer: 11.986746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 465 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: Suppose -5*m + 9541 = -2*w - 3011, 4*m - 10002 = -5*w. Calculate the highest common factor of m and 456.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 47*s**2 + 10*s - 21. What are the prime factors of f(3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lwl when three letters picked without replacement from lwwllllw?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 620 divide 481120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 76 and 8?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*a**4 - 102*a**3 + 3856*a**2 + 44616*a + 131648 = 0. What is a?\nAnswer: -8, -22\/3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1595 divided by 1.\nAnswer: -1595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + 21. Sort -7, -5, 2, b in descending order.\nAnswer: 2, b, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 7*s**2 - 6*s - 1. Let p(c) = 2*c**3 + 15*c**2 + 13*c + 2. Let w(n) = 6*p(n) + 13*z(n). Determine w(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -5272\nAnswer: 5272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*j - 470 = 0, 4*j = -5*s - j - 565. Suppose -864 - 108 = -2*o. Let d = s + o. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1230 + -1239. Let l(i) = -i**3 - 8*i**2 + 12*i + 33. What is l(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of 4*y**7\/735 + 173*y**6\/420 + 601*y**5\/70 - 374*y**4\/21 - 484*y**3\/21 + 174*y**2 - 21. Find o, given that i(o) = 0.\nAnswer: -22, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 329697 to the nearest integer?\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 416*o + 73. Let j(z) = 835*z + 135. Give 6*j(w) - 11*t(w).\nAnswer: 434*w + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -215 - -236.9. Let k = y - 21.94. Round k to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-2 - -1) + 1 - 3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2666 is divided by 116?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -295\/8 (b) 0.5 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10441 (base 6) to base 7\nAnswer: 4162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 550837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3252, -6506, -9766, -13032, -16304, -19582, -22866?\n\"Answer: -3*y**2 - 3245*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -9. Let a = -45 + 76. Let h = a + d. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -939*b + 35. Let w be r(5). Round w to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 111.931 - 112. Round q to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**5 - 666 + 666 - 9*m**5 + 0*m**5 + 3*m**5 - 2*m**5 + (0 + 0 + m**3)*(4*m**2 - m**2 - 5*m**2).\nAnswer: -7*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75651681.\nAnswer: 3, 7, 3602461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 - 20. What is the smallest common multiple of s and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49\/9 + 52\/9. Let v(c) be the second derivative of -p*c**4 + 0 + 6*c + 1\/20*c**5 - 2*c**2 + 5\/6*c**3. Calculate v(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 68 = 4*b, 5*b = -2*z + 3*z + 85. Let f = 18 - b. Let a be (-39)\/3*f*-1. Solve a - 5 = 2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 13*g. Let z be t(-13). Solve 0*k + 3*k + 15 = z for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77294 + 4\nAnswer: 77298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {x: 3, c: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d + d + 3*d**2 - 8793 + 8833 to n*d + l*d**2 + t and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -6 - 6 - (-9 - (-39 - -5))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.93 - 40?\nAnswer: -46.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*6*-9*8\/(-72)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, 2, 4, -1 in decreasing order.\nAnswer: 65, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -16424, -16494, -16564, -16634, -16704?\n\"Answer: -70*p - 16354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/3 - 51680*n\/3 + 51679\/3.\nAnswer: (n - 51679)*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrbrrarrrrrbrr. What is prob of sequence bba?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 2*k. Let b be u(4). Let z(o) = o + 27. Let s be z(b). Solve -c + 4*c + 3 = -3*v, -2*c - s*v - 1 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1321 + -2183. Let w = -585 - k. Is w a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-18)\/(-3))\/2*(-2)\/(-2). Put -1, p, 4 in increasing order.\nAnswer: -1, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16485 by 21.\nAnswer: 785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -106 + 111. Suppose o*v - 3*v = 18. Solve -2*i - 4 = -2*d - 4*i, -3*i + v = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 2360754, -8, 1 in decreasing order.\nAnswer: 2360754, 1, -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 276361 to the nearest integer?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 4*o + 32, s - 19 = -0*o - 5*o. Solve x = -1 + s for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and 4258.043.\nAnswer: -34064.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17460 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of q**5\/20 - 7*q**4\/12 + 5*q**3\/6 - 6*q**2 + 15*q. What is the remainder when 320 is divided by r(7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -12. Calculate the least common multiple of (7 - 0) + 20\/(-16)*-4 and b + 30 + (2 - 1).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 57 and 204?\nAnswer: 3876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-82909)\/(-1785) - 42 - 52\/12.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/((-2)\/6 + (-56)\/(-48)). Suppose v*j = 30*j - 120. Solve -2*q = j*q - 7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 3*z**2 + 2. Let o be p(3). Let q be 2\/(4\/o) + -1. Suppose 3*n + 2*c - 2848 = 0, q = 5*n - 0*c - c - 4751. Round n to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkykkkbkyyybok. What is prob of picking 2 b?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + l + 4 = 0, -2*l = 3*m - 4*l - 8. Solve -5*g + 5 = -m for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182255 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11632 + 11674. Calculate the highest common factor of 132 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -5*j**3 - 152*j**2 + 324*j + 14. Let l(s) = 3*s**3 + 87*s**2 - 162*s - 8. Give -7*l(x) - 4*n(x).\nAnswer: -x**3 - x**2 - 162*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -13, 2, -0.1.\nAnswer: -13, -0.1, 3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 1032 = 4*x, 4*x - 1032 = c - 2*c. Is x a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -0.05, -5, 34025, -2\/17?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 - 55*(-21)\/35?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z**2 - 79 + 433 - 8*z**2.\nAnswer: z**2 + 354","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 79.\nAnswer: -15.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 3\/4 (b) -0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5052*i**2 + 1514*i + 32402290?\nAnswer: 10104*i + 1514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n**4 - 5076*n**3 + 5076*n**3 + 68*n**2 + 144*n + 80 = 0. Calculate n.\nAnswer: -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -143*v + 692. Give y(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 320 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 57055217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-57)\/(-2))\/(-57) + (2 - (-189)\/(-78))?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -5*v - 17. Suppose 4*c - v = 879. Suppose -3*j + c = 59. Is j a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 2 q, and 1 y when four letters picked without replacement from yykhyqqyqnyn.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-74)\/(-24) - 3\/9. Let z(p) be the first derivative of j*p**4 - 3*p**3 - 4\/5*p**5 + p + 1\/2*p**2 + 3. Let z(s) = 0. What is s?\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55c (base 15) to base 3.\nAnswer: -1122220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 4*d - 10 = 0, d = 5*y + 7 - 17. Suppose -y = 2*c, -5*r - 27 = 2*c - 300. Suppose -j + r = 5*u, 5*u - 48 + 3 = j. Solve 0 = t - 3*t + u for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-15)\/s**17 assuming s is positive.\nAnswer: s**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n - 2*v + 7 = -8*n, 4*n + 3*v - 13 = 0. Let t be (13\/19)\/((-10)\/(-3390)). Let b = -232 + t. Is n greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - (-6)\/220)*(-1682514568)\/(-441). Let t = y + -104052. What is the common denominator of 47\/45 and t?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.09 (b) -177\/2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -580 - -592. Sort 0, -7, n in descending order.\nAnswer: n, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -g - 58, 7*c = 2*c - 2*g - 98. Let a = c - -36. Does 8 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 10:01 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-30) - (-15)\/(-6))*2\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 6*(-2)\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3*t = p - 99, 41 = p - 4*t. Let s = p + -17. Find the third derivative of -4*a - a**2 + 4*a - 4*a**s wrt a.\nAnswer: -96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 1. Let q = w + 8. Which is the second smallest value? (a) 1\/2 (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -77*m**3 + 62*m**2 - 10*m - 2. Let p(n) = 40*n**2 + 1 - 10*n**3 - 4 - 68*n**3 - 9*n + 23*n**2. Let s(u) = 3*h(u) - 2*p(u). Let s(c) = 0. What is c?\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/69634 and 50\/941.\nAnswer: 69634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 5044248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-1 + (5 - 2)) - -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 8:46 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*y**2 - 326*y + 51*y**2 + 323*y.\nAnswer: 63*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/146668905 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3\/4 - 248745*j**2\/4 - 248760*j - 248765.\nAnswer: 5*(j - 49753)*(j + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 1 = 171. Suppose 129 = 3*p - 2*o, -4*p + 3*o + y = 5*o. Is 3 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1342 is divided by 1229?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.16481581 + -0.165. What is m rounded to five decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o + 48. Let p be l(0). Let j be 1\/(-1*(-3)\/p). Suppose -4*x + 2*m + 26 = 0, 4*m + 0*m + j = -x. What is the smallest common multiple of 2 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 550812211\/85571630 + -6\/450377. Let y = 90\/19 - c. Let v = 1633 - 4940\/3. Find the common denominator of y and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 13*p + 13. Let k be z(11). Suppose -r = -0*r - k. Suppose f + r = 6*f. Solve -2*g = -0*x + x, -f = -g - 4*x for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*y + 201*y + 30 = 6*j, -y + 2*j - 6 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(500))**2 + sqrt(5) + (sqrt(45) - sqrt(2205)).\nAnswer: -17*sqrt(5) + 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53 - 203 - 24)*(0*t**2 - 4*t**2 - t**2) + t**2 + 0*t**2 - 2*t**2.\nAnswer: 869*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 87 - (-1 - (1 + 2)). Suppose 0 = o - v - 46 + 12, 0 = 4*o + 5*v - y. What is the highest common divisor of o and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3434 - 127810 = -2*k, 2*l - 62206 = -4*k. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84236 is divided by 3620.\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/6 - -4*1. Let w = -0.3 + 0.8. Suppose 4 + 2 = -2*g - x, 3*x = 5*g - 7. Which is the closest to 2\/3? (a) w (b) l (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20190 (base 10) in base 11?\nAnswer: 14195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17278298.450199623 - -17277483.4502. Let v = d + 815. What is v rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 946\/(-172)*36\/(-11)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**11\/g**9*(g**9)**(-2\/69))**(-14) assuming g is positive.\nAnswer: g**(-560\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -1\/2, 2\/117, 0.1, 16, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 9*r**2 + 7*r + 7. Calculate l(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 720 is divided by 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4479363, 4479294, 4479225, 4479156, 4479087, 4479018?\n\"Answer: -69*x + 4479432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-2\/3))\/((j**15\/j*j*j)\/j)*(j\/(j\/((j*j**4)\/j)))**(-10\/7) assuming j is positive.\nAnswer: j**(-428\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/35 and 39\/4.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9337943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k**3 - 24*k + 20*k + 2*k**3 - 14*k**2 - 9. Is u(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*1*((-1*sqrt(448) - sqrt(448)) + sqrt(448))**2 - (5 + (sqrt(448) - ((-1*sqrt(448))**2 + sqrt(448))) + (sqrt(448) + 1*sqrt(448))**2*1).\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2\/7 (b) 0 (c) -1\/4 (d) 0.4 (e) -6795\/91\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/((-297)\/(-44) + -7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4978, 10089, 15186, 20263, 25314?\n\"Answer: -p**3 - p**2 + 5121*p - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hc when two letters picked without replacement from {t: 2, c: 4, d: 2, k: 2, h: 4}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36 - -32. Let l = u - -4. Solve l = 4*f - 6 - 10 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16d (base 16) in base 4?\nAnswer: 11231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 5*o - 108 + 38, -4*a - 16 = -4*o. Let m be 2 - (3 + a\/10). Let p = -70 + 70.1. Put -0.5, 4, m, p in descending order.\nAnswer: 4, p, m, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -85 (b) 1 (c) 2\/15 (d) -5 (e) -1\/4 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14827*u + 10796*u + 9774*u)*(0 - 4 + 3) as s + i*u and give i.\nAnswer: -5743","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 150.72 + -150. Let x = 1.28 + q. Put -5\/3, x, 2\/17, -8 in increasing order.\nAnswer: -8, -5\/3, 2\/17, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224 = -16*f - 288 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15180292.\nAnswer: 2, 3795073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 27*y + 25*y - 57019, y + 38014 = 2*t. List the prime factors of t.\nAnswer: 19009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219516 is divided by 145.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -81*h**2 - 10251*h + 64224. Let g(r) = -5*r**2 - 641*r + 4014. Let q(p) = 33*g(p) - 2*s(p). Factor q(l).\nAnswer: -3*(l - 6)*(l + 223)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 1465 = 2*w, w - 3*w + 2443 = -5*k. Let c = k + 1492. List the prime factors of c.\nAnswer: 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = b - 9, -4*q - b + 0*b = -13. Factor -1 + 8*i**2 - i**2 + 3*i - 6*i**q - 3.\nAnswer: (i - 1)*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*p**2 - 15*p + 33*p - 1 + 1 - 19*p in the form y*p**2 + n*p + u and give y.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/125810932 and -17\/2204.\nAnswer: 125810932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 8*u**2 - 401*u + 449. What is m(49)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4067 (base 10) to base 5.\nAnswer: 112232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (50\/(-200))\/((-2)\/68072)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/60 and -149\/45011376?\nAnswer: 225056880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1*-4*2\/8*4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-56)\/(-3) - (3 + 14\/(-6)). Suppose 2*s - 14 = 3*o, 143*s = -3*o + 142*s - 11. What is the second biggest value in 2\/9, o, f?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (5 + 3)) + 5 + -6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - i - 1. Let h(m) = m**2 - 6*m - 13. Let y(v) = h(v) - 6*l(v). Differentiate y(g) wrt g.\nAnswer: -10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 11\/5*m**5 + 0*m**4 + 0 - 33*m - 1\/2*m**3 + 13\/2*m**2. Find the second derivative of b(h) wrt h.\nAnswer: 264*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c + 16 - 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a tonne in kilograms?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m = m - 2266. What are the prime factors of m?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 989289 is divided by 6104?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10739 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*t = -2*a + 180, -2*a - 2*t = -112. Suppose 445 = -7*n - 7*n + 95. Let p = a + n. Calculate the greatest common factor of p and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -295*x = 4*i - 300*x - 23, i + 3*x = -7. Solve -v - 7*o + 10 = -12*o, -3*o = -i*v + 13 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + t + 3 = 2*p, 2*t + 1 = 3*p. Let b be 1\/((-1)\/p - 6\/3). Sort -5, 5, 0, b in decreasing order.\nAnswer: 5, 0, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 12 - 0. Let i be -2*1 - (4 - x). Let d be (-30)\/(-9) - 2\/i. Solve -5*y = -y - d for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*i - 2233 = 5*i, -4*f + 3*i = -8927. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4*t = 5, 2*k + 15 = -0*t - 5*t. Solve 0 = 4*m - 0*o + k*o - 28, -m + 18 = 4*o for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i**6 + 378*i**5 - 4*i**2 + 22*i wrt i.\nAnswer: 120*i**3 + 22680*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.1868 * -3.8\nAnswer: 0.70984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7967681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1736 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/306109 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110101010110 + 1110111001001?\nAnswer: 1000001110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 5*x + 3. Let f be b(3). Let d be (-12)\/18 - 2\/f. Suppose -11 = -p - 3*k, -p + d*p - 5*k = -3. Solve 5*q - 2 = p for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - t = -11, 0 = a - 2*t - 3*t - 29 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4578*n - 1712. Let l(q) = -9201*q - 3425. Let s(h) = 11*b(h) - 6*l(h). What is the derivative of s(v) wrt v?\nAnswer: 4848","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 75 and 560255.\nAnswer: 8403825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -c**2 + 5*c + 14. Let t(z) = 4*z - 11. Calculate 7*q(k) + 3*t(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8133 - 7976 + 16953)*(4*d + 0 + 0 - 1).\nAnswer: 3376*d - 844","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l**2. Let h(n) = -n - 3. Let q be (1 - 6 - 1) + (75 - 68). Let x(i) = 1 + 0 + 0 + i. Let w(d) = q*h(d) + 3*x(d). Give w(a(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (176\/28 + -2)*7.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*g**3*p + 18*g**3 + 5*g**2 - 17*p wrt g?\nAnswer: -24*p + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 760*n**3 - 5*n**2 + 5*n - 5. Let x(q) = -210518*q**3 + 1386*q**2 - 1386*q + 1386. Give -1386*g(k) - 5*x(k).\nAnswer: -770*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 322225, 322242, 322271, 322312, 322365, 322430, 322507?\n\"Answer: 6*l**2 - l + 322220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**2 + 101*u**2 + 7 - 7.\nAnswer: 96*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -3*p - 1208. Let u = p - 550. What is the remainder when u is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/(-21) + (-16168)\/(-329). Solve -38*o + 13*o = -d for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 2*g**2 - 14*g - 2. What is k(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -82.47 - -83. Let h = 4.53 - q. Let u be (-1)\/(26\/(-26) + (-3)\/(-2)). Which is the fourth biggest value? (a) h (b) -1 (c) 0.03 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 34*j**2 - 6. Let f(u) = u**2 - 7*u. Let b be f(6). Let d(m) = -34*m**2 + 5. Let w(x) = b*d(x) - 5*k(x). Let l(s) = -3*s. Calculate w(l(y)).\nAnswer: 306*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w + 2. Let d be l(-4). Let h be -3 - d - 0\/3. Suppose -x + h*x = 8. Solve -t - 12 = -x*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/4*(-72)\/(-90)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14219, 21253, 28287, 35321, 42355?\nAnswer: 49389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1119593.7 + 1119606.200091. Let g = u - 12.5. What is g rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a kilogram in milligrams?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -5. Let h(o) = 2. Let n(j) = c(j) + 2*h(j). Let p(w) = -10*w - 10. Determine -10*n(t) + p(t).\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 1542?\nAnswer: 6168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.34191 to two decimal places.\nAnswer: 1.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - h + 5*h - 8 = 0, -5*b = 5*h + 5 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - r + 2. Let n be k(0). Suppose -n*y + 0*y = -14. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/8)*z*z**7*z**(-2\/9)\/(z*(z*z\/(z**2\/z))\/z)*z**5*z**(-3\/5)*(z*z*z**(-1)*z*z*z)**(1\/4) assuming z is positive.\nAnswer: z**(4429\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (7 - -5)\/(-3) - (-159252)\/6 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*15.2\nAnswer: -30.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/7))**(-3\/14)*((z\/(z*z**(2\/3)))\/z)\/(z**(-6\/7)*z*z*z*z) assuming z is positive.\nAnswer: z**(-698\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.21 and 37.8391.\nAnswer: 7.946211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227980727?\nAnswer: 13, 17, 31, 107, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of j**4\/4 + 8*j**3\/3 + 4*j**2 - 4*j - 334. Determine c(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 7*o + 15. Let j be c(-3). List the prime factors of 66\/27*-3*j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 854 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 + 1 + -2 + (-39 - (39 - 85))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26698 or 2.1?\nAnswer: 26698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.01 - 0.1?\nAnswer: -2.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p**(-2\/31)*p)*p**(2\/19))**(7\/3)\/((p**(-5\/3)*p**5)\/((p*p**(6\/7)\/p*p)\/p**(-1\/16))) assuming p is positive.\nAnswer: p**(260401\/197904)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -14. Let k(s) = -4*s**2 + 16*s + 21. Let g(c) = 5*c**2 - 21*c - 28. Let b(o) = 7*g(o) + 9*k(o). Give b(q).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7748*i + 574?\nAnswer: -7748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 5*d**2 + 5*d - 6. Let u be y(-6). Which is smaller: u or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -82056 + 82056 - 123*b + (8 - 9 + 8)*(3*b - b - b).\nAnswer: -116*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 18*p - 12. Let t be i(-6). Let r be 165\/t - (-6)\/16. Let g be -1*7\/(-5) - 1. Put g, r, -2 in increasing order.\nAnswer: -2, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - y + 85 = 2*y, 4*y = 4*p - 36. Suppose -n = -2*n + p. Let f = 0 + n. Calculate the lowest common multiple of f and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - 763) + 23 + -14. Which is smaller: -755 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(sqrt(77)\/sqrt(7)) - (sqrt(65)\/(sqrt(5)*1))**2 - (sqrt(117)\/sqrt(3)*-3)\/(5*sqrt(15)\/sqrt(5)).\nAnswer: -13 + 8*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -5*y, -6 + 2 = 4*t + 4*y for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4831 - 4826. Which is the nearest to 4875? (a) 4\/3 (b) 2\/5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 42, 75, 128, 207, 318?\nAnswer: 467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1541924799 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 6 + 46 - (-6)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14155 and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21.4 + 29. Let o = 8.6 - z. Let t = -81 + 569\/7. What is the closest to o in t, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -883\/4 and -220 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -262\/705 - 4\/141. Which is the second smallest value? (a) f (b) 2\/5 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -28363 - 2*c + 28358 - 5*c. Let q(u) be the second derivative of -u**3 - 2*u**2 - 4*u. Calculate -5*q(i) + 4*t(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10681287559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2033223 - -3220?\nAnswer: -2030003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 131336237 to the nearest integer?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 7296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*q + 2*y - 14 = -76*q, -2768*q = -2773*q + 8*y + 9 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14936? (a) 1 (b) -10 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -c**8\/336 - c**5\/40 + 7*c**3\/3 - 7. Let q(a) be the third derivative of m(a). Find the second derivative of q(g) wrt g.\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1566262*s**2 + 109638336*s - 280.\nAnswer: 2*(s + 70)*(783131*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-156)\/(-216) - (416\/(-72) - -6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*d - 3*d - 450. Let i be (-50)\/10 - (-2 + 1). Suppose 2*j = -5*n + 8, 2*j + 2*n = 3*n - 4. Sort d, i, j in decreasing order.\nAnswer: d, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 143.\nAnswer: -3\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 2*u, -22*u + 17*u = -5*i - 15 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 22*g**2 - 2843*g + 5608. Calculate o(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9602729 divided by -1.\nAnswer: 9602729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*g**2 + 401*g**2 + 37117 + 101*g**2 - 37121 + 382*g**2 to the form o + u*g**2 + l*g and give u.\nAnswer: 837","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 14844.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/6 + 2*v + 32\/3.\nAnswer: -(v - 16)*(v + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 3 - (-3 - (-12 - (9 + -15)))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26240?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91 - 49 - 10*h**2 - 42.\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 + -2e270ac?\nAnswer: -2e270b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + -14 - 79) + 142 + -133.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.89 - 0.39. What is the closest to -0.1 in 0.3, -0.03, s?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7*(-18)\/84 + (-1 - 0)*-1. Which is the biggest value? (a) 14\/9 (b) x (c) 2.3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 13*w**2 - 4*w - 1. Let p(r) = 12*r**2 - 4*r - 1. Let g(x) = 3*k(x) - 4*p(x). Let o(u) = 8*u**2 - 3*u. Calculate -2*g(t) - 3*o(t).\nAnswer: -6*t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1838 and 19098658?\nAnswer: 1838","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -451217019*g**2. Let i(h) = 3*h. Determine z(i(b)).\nAnswer: -4060953171*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2 = -0. Let k be s\/(-1) + (-9)\/(-3). Let j(q) = 5*q**2 + 4*q - 3. Let g(o) = -21*o**2 - 17*o + 13. Let h(a) = -2*g(a) - 9*j(a). Give h(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/11)\/s)\/s)**24 assuming s is positive.\nAnswer: s**(-576\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 99680 a multiple of 364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 182136 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.021655196 to four decimal places.\nAnswer: 0.0217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000021220011 (base 3) in base 16?\nAnswer: -186a4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d\/(d**(1\/5)*d))\/d)*d*d**6)**(2\/19) assuming d is positive.\nAnswer: d**(92\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.1234545km?\nAnswer: 123454500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 557663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 839903, 1679860, 2519817, 3359774, 4199731?\nAnswer: 5039688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60153\/409 or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 1 = 1. Suppose 125 + 27 = 3*c + 5*r, -108 = -u*c - 5*r. What is the greatest common factor of c and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 170, -5, -25 in ascending order.\nAnswer: -25, -5, 170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4*v - 2)*(2*v**3 + 0 + 2 - 1).\nAnswer: 8*v**4 + 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 101*l**3*y**2 - 37*l**3*y - 2127*l**3 - 18*l**2*y**2 - l + 33*y**2 + y wrt y.\nAnswer: 202*l**3 - 36*l**2 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -280914465 to the nearest 10000.\nAnswer: -280910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -3, -58, -998\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -3)\/(2\/4). Let a = -115 - -119. Let g be 6*(1\/a)\/(3\/6). Sort g, 2, j.\nAnswer: 2, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 6) to base 16.\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*t + 19 = 5*n - 162*t, 3*n + 4*t - 29 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 918.9002kg to milligrams.\nAnswer: 918900200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 156538.413 milliseconds in days?\nAnswer: 0.0018117871875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7580d7 - 1?\nAnswer: -7580d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/20)\/(6\/(-20))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 4 + 1\/5*p**5 - 1\/3*p**3 + 0*p**2 + 0*p**4 + 0*p. Factor w(x).\nAnswer: x**2*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 2:07 PM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6067081 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 - 117 - 138 = -22*c. Suppose 4*f + 4*q = 120, -f + 2*f - 36 = -4*q. Calculate the remainder when f is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 231*r - 229*r + 24, 2*l + 5*r = -6. Calculate the remainder when (177\/6)\/(7\/14) is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1006 or 0.7801?\nAnswer: 0.7801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1440, -1457, -1484, -1521, -1568, -1625?\nAnswer: -1692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 12:04 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37.66 + 37.36. Which is the closest to -1? (a) -2\/3 (b) 0.3 (c) v (d) -0.216\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: 4 - -1 - (10 + -16 - (-1 + -9))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u**4 + 2*u**3 + u**2 + 2*u - 1. Let k(r) = 17*r**4 - 322*r**3 + 624*r**2 + 1328*r - 2564. Let b(z) = k(z) - 4*s(z). Factor b(g).\nAnswer: 5*(g - 64)*(g - 2)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 1 (c) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = -2*j - 101. Solve 0 = 5*d - 2*l + j + 2, 0 = -l + 5 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (41 - ((-11 - -3) + 7 - (-6 - -9))) + -10.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 82 + -84. Let o = 2.4 + u. Which is the nearest to 1? (a) 10 (b) 0.3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 11:02 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 35*b - 101*b + 30*b + 23 + 37*b. Determine k(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -46*y + 18. Let n = -15 - -23. Let t be k(n). Round t to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86357251 is divided by 2228.\nAnswer: 2199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/77591 and 61\/1154.\nAnswer: 89540014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -21*l - 36. Let a be q(-4). Let p be 11\/(-3) + (-3 - a\/(-18)). Sort 1, 5, p, -5 in ascending order.\nAnswer: -5, p, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132) - 4*-2*sqrt(132))\/sqrt(6))\/(sqrt(396)*-2 - sqrt(396) - sqrt(396) - sqrt(33)\/(sqrt(6)\/sqrt(2))))**2.\nAnswer: 162\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47\/7 + 50\/7. Let w be ((-1)\/2)\/((-2)\/4). Is w < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 52*p + 302. Calculate r(-9).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 35648688?\nAnswer: -14259475.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 864.1324 centuries in years?\nAnswer: 86413.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 6*d + 168 = 2*d, 4*d = -k + 66. Suppose 447 + k = 5*h. Suppose h = 2*u + 33. Does 18 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 550978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 34*c + 456. Let b be p(-14). Calculate the greatest common factor of b and 432.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**3 - 711782*w**2 + 2135333*w + 2847116 = 0.\nAnswer: -1, 4, 711779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**8*q\/q**23 assuming q is positive.\nAnswer: q**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 743238 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 41130 and 702?\nAnswer: 1604070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -10 - 2*k + 4*k + k. Is u(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 1 = -3, 0 = -u + 4*a + 7. Suppose 5*s - u*s = 0. Suppose s = 4*f - 2*m - 2, -f = 3*m - 1 - 3. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4768 divided by -8?\nAnswer: -596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000024457736 rounded to 7 dps?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 678443.\nAnswer: 151, 4493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 825 + -828. Let i(b) = 2*b**2 + 3*b. Let y(s) be the third derivative of -s**5\/15 - 7*s**4\/24 + 2*s**2. What is j*y(r) - 7*i(r)?\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*r + 1)*(1 + 1 + 0) - 3 + 3 - 2*r + (-259 - 2337 - 1294 - 815)*(0*r + 3*r - 5*r)*(2 - 3 + 2).\nAnswer: 9412*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**17)\/(x*x**(2\/3))*x**(1\/47)\/x**(-1\/9) assuming x is positive.\nAnswer: x**(-7417\/423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 47*r + 87*r**3 - 26*r - 92*r**3 - 27*r. Let c(d) = 4*d**3 + 5*d. What is 6*c(b) + 5*i(b)?\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 + 37 - 73 + 4273*p**2.\nAnswer: 4273*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yeyeyyyyeeyemmyyeyy. Give prob of picking 1 m, 1 y, and 1 e.\nAnswer: 44\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283 = 5*t + 3. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-72)*-4)\/((-4)\/((-4)\/1))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*w + 5 = 0. Let m = w - 1. Let l(n) = 2 - m*n**2 + n**3 + 1 + 0*n - n. Determine l(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -5, 120, 1, 2\/23, -1\/7?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -q**7\/2520 - 17*q**5\/30 - 32*q**2. Let n(c) be the third derivative of h(c). Let y be n(0). Solve 4 = -d - y*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 4*t - 12 = 0, -h - 2*t - 1355 = -6*h - 1367 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 196 - 197. Which is smaller: v or 1.95?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/1162 and 5\/16.\nAnswer: 9296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 147659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 12*m**2 - 192*m - 6. What is n(13)?\nAnswer: -474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*z - 23 = -5*h, -3*h + z = -13. Find the second derivative of -48*o**3 + 56*o**3 + h - 3 + 5*o wrt o.\nAnswer: 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 - 51.000046. What is s rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xic when three letters picked without replacement from uuumumjcjiuxuccuuu.\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/36*0*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 2928*w - 35003. What is l(-12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156 - 576 + 5*b + 732.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8456*w - 190809 = -3147*w + 254*w - 20574 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 837 + -833. Suppose -8*n = -s*n - 3288. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40440 = 33*y - 19554. What is the greatest common factor of y and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2053\/5 or -2\/137?\nAnswer: -2053\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 470115477 to the power of 1\/2, to the nearest integer?\nAnswer: 21682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15009 <= 15007?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 424*t + 40 = 4*k + 847*t - 427*t, 0 = 2*k - 5*t - 43 + 8 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 3*j - 11 = 0, 4*r - 4*j + 601 - 597 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4807, -4678, -4483, -4228, -3919, -3562?\nAnswer: -3163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 8:55 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 3*j - 4. Let m be r(-2). Let a(k) = -21*k - 90. Calculate the smallest common multiple of 4 + (-3 - m) + 6 and a(-6).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 547511.\nAnswer: 601, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.692881 millimeters to micrometers.\nAnswer: 5692.881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/3 + 4106*z**2 - 57582*z + 604954\/3.\nAnswer: 2*(z - 7)**2*(z + 6173)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1441*p - 2447*p**2 + 714*p - 4159*p**2 + 101 + 709*p wrt p.\nAnswer: -13212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 139391 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.111 times -0.1\nAnswer: 0.0111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a gram in milligrams?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77300636, 77300625, 77300594, 77300537, 77300448, 77300321?\nAnswer: 77300150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tizt when four letters picked without replacement from ztzzztiiz?\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.343054ml in litres?\nAnswer: 0.005343054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**3 + 4*o**3 - 4*o**3)*(-7*o - 14*o - 6*o).\nAnswer: 54*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (32\/45*-12 - (-1)\/5)*-3. Solve 4*m - 48 = -5*d - 19, 5*d = o for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16 - 46?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/3))**6\/(((b*b\/b**19*b)\/b)\/b*b\/(b\/((b*b**(-24)*b)\/b))) assuming b is positive.\nAnswer: b**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 179?\nAnswer: -181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 38*z = 36. Solve -z - 3 = -4*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*i**4 + i**4 + 16*i**4 - 6*i**4 + i**4 - 3*i**4 + (-5*i**4 + i**4 + 3*i**4)*(-1 - 4 + 4).\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 491933698.\nAnswer: 2, 67, 3671147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 193\/4*q**2 - 1\/4*q**3 - 48*q.\nAnswer: -q*(q - 192)*(q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -7*s**2 + 2*s - 18. Does 25 divide q(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 - 35.8. Which is the closest to -2? (a) j (b) -2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 15*f**2 - 68*f + 915. What are the prime factors of x(-31)?\nAnswer: 2, 8719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/6 + (-8)\/(-6). What are the prime factors of (-50)\/1*f\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -468 = 4*x - 128. Let z = -83 - x. What are the prime factors of (-1)\/(z\/8*4\/(-257))?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (31 - 84) + 26?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (4\/26 - (-15416)\/(-17056))\/((-3)\/((-48)\/(-106)))\nAnswer: 6\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a day in minutes?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 273 or 271?\nAnswer: 271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) -1\/4 (c) -0.4 (d) -2 (e) -1\/90141 (f) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 531314428 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.49739094 - 3.54769. Let a = 23.05029656 + l. Let p = a + -23. Round p to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*y - 12*y - 4*n - 6, -2*n = 3*y + 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n**2 - 7*n**2 + 4*n**2 + (3 - n - 3)*(-4*n - n + 3*n) - 5*n**2 + 3*n**2 - n**2 as t*n + s*n**2 + v and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 84\/22 - 7\/(539\/(-14)). Solve v + r = -1 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -8. Calculate the remainder when 27 is divided by d + (1 - 1) + 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -y - 19, -2*y - x - 14 = x. Let v be (y\/(-12))\/((-1)\/(-3)). Let m be (-4)\/(-6) + 44\/(-84). Which is the biggest value? (a) 2\/5 (b) m (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.17 and 178.221.\nAnswer: 178.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1123, -9479, -32159, -76327, -149147, -257783?\nAnswer: -409399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 + o + 2. Let a be t(-1). Solve 0*r + a*r + 2*u - 9 = 0, 0 = 4*r - u - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (531\/45 - 12) + 242\/10. Factor -l*r + 66*r**3 - 90*r**2 - 40*r**3 - 23*r**3 - 24*r**3.\nAnswer: -3*r*(r + 4)*(7*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 10 + 3 - 65*u**2 - 20 - 31*u**2 to the form g + z*u + c*u**2 and give c.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) 2\/17 (b) 5\/16 (c) 0.1 (d) 0.5 (e) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*s**3 - 6*s**2 + 6*s**2)*((5 - 1 - 3)*(4 + 2 - 5) + 18 + 37 - 5).\nAnswer: -459*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 3, 51*r + 23 = 2*h + 56*r. Solve h*k + 10 = 9*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-1)\/(-78)*(-12)\/3\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 431368.\nAnswer: 2, 7, 7703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -3*b**5\/8 + 21*b**4\/8 - 9*b**3\/8 - 69*b**2\/8 + 12*b - 9\/2 = 0.\nAnswer: -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173604 is divided by 1756?\nAnswer: 1516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-12) - (868\/(-400) + 2)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7234831 + 0?\nAnswer: -7234831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5611 by 11.\nAnswer: -5611\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 1713 = g, -2*v + 5*g = 2*g + 680. Let i be (-18)\/(-14) + 98\/v. Let l(c) = -3*c**3 - c. Calculate l(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**6)\/((i\/(i\/(i*i**(-8))))\/i))\/((i**(3\/5)*i)\/i**(-2)))\/((((i\/i**(-2\/3))\/i)\/i)**(-33)*((i*i**(-1\/11))\/i)\/i**(-5\/3)) assuming i is positive.\nAnswer: i**(-194\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in -0.4, -5, 0, 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllhlllllhlhlllllll. What is prob of sequence lhhh?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-6*sqrt(32)\/sqrt(4))\/(sqrt(16)\/sqrt(4)*2)*-2.\nAnswer: -36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3663)\/444)\/(22\/(-16))*-10 + -21.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 68058 - 20415. Let u be 7881\/1*(-1 - 0). Let l = u + x. Round l to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 3)*(3 - 4 + 8)*(-y - 3*y + y).\nAnswer: 21*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 8:28 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxoxxooxoo. Give prob of sequence oxoo.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1350777\/28 - 48237. Let f = -19\/4 + a. Suppose -t + 1 = x, t - 3*x = -t - 8. What is the fourth smallest value in f, 0, -4, t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -2. Let p = 0.2 - m. Suppose -4*a - 1 = -13. Put 4, p, a in descending order.\nAnswer: 4, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, m: 2, z: 3, w: 1, y: 7}. Give prob of sequence wm.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 85 - 85 + x**3 + 2*x**2 wrt x.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 16 = p, -5*p - 49*b - 4 = -45*b for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/56*-10*(-5)\/125\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -746 (base 11) to base 16.\nAnswer: -381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*o**3 - 11991*o**2 + 11991*o**2 + 559*o**3.\nAnswer: 367*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -w - y + 25, 45 = 4*w - 5*y. Suppose 0*q - w*q = -13000. What is q rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 l when two letters picked without replacement from lpbbppllp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -41*g. Let h(m) = 677*m**2. What is w(h(u))?\nAnswer: -27757*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of x**6\/30 + x**5\/20 - 3*x**2\/2 - x. Let d(y) be the first derivative of t(y). What is the third derivative of d(v) wrt v?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/18*-2*3. Suppose -7*l = -w - 2*l - v, -5*l = -3*w - 15. Let j be (-3)\/(-3 + -3)*0. Sort j, 4, w in increasing order.\nAnswer: w, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -1 - (0 - (3 + -3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*k - 17*k + 36*k + 3*k + 29*k.\nAnswer: 90*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of b**4\/6 - 16*b**3\/3 - 17*b**2. Let j be h(8). Solve j*t - 5*t - 25 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1195 + -554. Suppose 457 = -3*r - 3*x + 2344, 2*x = r - i. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -1 + 6. Let r be (-1)\/(n + (-28)\/27). Suppose -5*z - s = -56, 17 = 2*z - 5*s - r. Is z a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 7*x**2 + 10*x - 10. Give y(6).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + (-3)\/3)\/(-1). Which is the nearest to 3? (a) 34.5 (b) 4 (c) 0.2 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 9*n**5 + 5*n**2 - 4*n - 4. Let i(m) = -10*m**5 - 4*m**2 + 5*m + 5. Let b(k) = -4*i(k) - 5*q(k). What is the third derivative of b(w) wrt w?\nAnswer: -300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 139237 to the power of 1\/2, to the nearest integer?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2*r = -10, r + 15 = -t - 3*r. Suppose 16 = -2*c - k, -3*c - k - 26 + t = 0. Let d be (8\/(-6))\/(6\/c). Solve 0 = 5*n - d - 18 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*15 - (-1 + 4). Let u(n) = -n + 24. Let p be u(q). Suppose 11*v = p*v - 2. Solve 0 = t - 3*c - 20, 0 = v*t - 7*t + c + 30 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19403912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 36\/(-10) + 17 + -15 + 2. Which is the closest to j? (a) -2 (b) 0.3 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7360, -7366, -7372, -7378, -7384, -7390?\n\"Answer: -6*g - 7354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4*q - 30. Let g be w(10). Solve 6*l = l + g for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 73 - 40. Let l = 45 + -23. What is the highest common factor of l and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 279701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -3*t + 17\/6*t**4 - 21\/20*t**5 + t**2 + 0 - 5\/2*t**3. Find i, given that n(i) = 0.\nAnswer: 2\/7, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2564 is divided by 1275?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 995*c**2 + 1126*c wrt c.\nAnswer: 1990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c**3 - c**3 + 5*c**2 - 3*c**3. Let u(w) = w**3 - 4*w**2. Let p be 0\/(-4 - 0) + 3. Let f(d) = p*h(d) + 4*u(d). Factor f(y).\nAnswer: y**2*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224176 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 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 5848821244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2074330, 4148784, 6223238, 8297692, 10372146, 12446600?\n\"Answer: 2074454*h - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1834 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 3*l + 28. Let o = l - -24. Solve -10 = -2*f + o*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -3*b**4 + 27*b**3 + 1092*b**2 - 108*b - 4320 = 0.\nAnswer: -15, -2, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 15\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.6? (a) 1 (b) -2\/3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-744)\/(-2480) + 346\/180 + -2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**5 + 2*u**5 - 2*u**5 + (-u**4 - 2 + 2)*(3*u + u - 3*u) + 3*u**5 - 2*u**5 + u**5.\nAnswer: -u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-372)\/2728)\/(12\/16).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-240)\/(-18))\/5)\/(5\/15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64 + -63. Solve 3*q - 12 = -2*d + 3*d, 2*q - 3*d - h = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h + 7. Suppose 7*b - 11 + 0 = -4. Let o(z) = -z**2 - 1. Calculate b*t(l) - 3*o(l).\nAnswer: 3*l**2 + l + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7, 7, 19, 29, 37, 43, 47?\n\"Answer: -j**2 + 17*j - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*j - 14*j + 1274. Suppose -2*m = -3*g + 408, -m - 50 - j = -5*g. List the prime factors of g.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**3 + 2*q**2 - 4*q - 5. Let m be c(-2). Sort 4, m, 2.\nAnswer: m, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 4:37 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fvv when three letters picked without replacement from ffvfvfvf?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -31?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 - 15. What is the third derivative of -6*u**2 - u**2 + 0*u**2 + j*u**5 + u**2 wrt u?\nAnswer: 300*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9634 + 9632. Let c(z) = 11*z**3 + z**2 + 7*z + 1. What is c(y)?\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((24\/240)\/1)\/((-4)\/(-1720)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4245 (base 6) to base 5\nAnswer: 12330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 161041154 (base 7) to base 15.\nAnswer: e3eee8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3700367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 773.5744 * 0.4\nAnswer: 309.42976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 317 = 4*d - 5*i - 148, 240 = 2*d - 4*i. Suppose -j + 7*j - 30 = 0. Sort 1, d, j, -4 in ascending order.\nAnswer: -4, 1, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -483*o**3 + 696*o**3 - 50 + 720*o**4 - 215*o**3 - 11*o**2 wrt o.\nAnswer: 17280*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9*36\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -4353000 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((n - 4*n + n)*(1 - 5 + 3) - 2 + 2 - n - n - n + 0*n + n - n - n + (1 - 1 - n)*(0 - 4 + 6) - 1 + 1 - 2*n)*(-4*n + 4*n - 3*n).\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (148\/(-12))\/(-6 + -2 + (-1232)\/84 + 23)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23610 to the power of 1\/2, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*d + 28*d - 4*v - 4675 = 0, 4*d + 4*v = 6308. Solve d - 1571 = -2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide (-401824)\/(-8) + 4 + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270617 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.23213mm in kilometers?\nAnswer: 0.00001323213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 17 + 33. Suppose 4*o + y = 6*o. Let r = -64 - -59. Sort 6, o, r.\nAnswer: r, o, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2327014 - 3681986. Round f to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-7 + 0)) + (-1 - -6)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirteen eighths of a tonne?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7506, -7497, -7498, -7515, -7554, -7621, -7722, -7863?\nAnswer: -8050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -127, 1\/17, 0.1, 2.74, -4?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**3 + 4*w**3 + 11*w**3)*(0 - 2 + 0)*((-4*w + 3*w - 4*w)*(7*w + w - 2*w) - w**2 + 0 + 0).\nAnswer: 744*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8623764?\nAnswer: 2, 3, 421, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 2*s - 8, -3*g - 2*g - 15 = -5*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/25)\/(2\/(-10)). Let b(p) = 3*p**3 - 3*p**2 + 2*p + 2. What is the units digit of b(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (135\/40 - 3)*2\/(-9). Which is bigger: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kzkkwwwwkw. Give prob of sequence kwzw.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 17\/2 of a millennium?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15 + 246\/(-20) + 1\/(-2)*(-12)\/(-20). Factor -7\/5*t**2 - 16\/5*t - 1\/5*t**3 - a.\nAnswer: -(t + 2)**2*(t + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 16*s. Let m be q(16). Suppose m = v + 2, 0*l + 4*l = -5*v + 2. Suppose 29 = -3*t + 89. Solve 0 = b + l*b + 16, 0 = 3*c + 5*b + t for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -43*c**2 + 9*c + 5. Calculate z(-3).\nAnswer: -409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 124617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -2. Let q = -29.8 - -27. Let l = q + 3. What is the nearest to 1 in 5, b, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.9 - 0.9. Let t = -3 + f. Which is greater: -1\/2 or t?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -5 (c) 2\/45 (d) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 43 + (-58 - -40)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17 or -6630\/7?\nAnswer: -6630\/7","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/2))**37)**(-5\/6) assuming l is positive.\nAnswer: l**(-185\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13272034 and 0.1.\nAnswer: -1327203.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -4 - (37 - 41 - (-4 - -4)\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d - 18384 + 9052 + 9324.\nAnswer: 5*d - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28754069710 + 28754069731.879999081. Let m = -21.88 + k. What is m rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.62 * -3.\nAnswer: -22.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 + 0)*(11 - 25 - 13*t + 13)*(3*t**2 - 2*t**2 + 0*t**2) in the form l + m*t**2 + g*t**3 + y*t and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4 = -5. Calculate the common denominator of -13\/6 and (a\/27)\/((-2)\/69).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3582 + 0.531. Let n = -9.1063 - k. Let u = n + 10. What is u rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*w - 101*w + 101*w = 5481 for w.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y - 4. Let d be q(8). Suppose -12 = d*j - 0*j. Let f be 2 - (-3)\/(j\/4). Which is the nearest to 2\/5? (a) f (b) 0 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 2, -143, -2, 2403 in descending order.\nAnswer: 2403, 8, 2, -2, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -133 - -133. Suppose i = -m - 4, 2*w - i = 174. Does 12 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {z: 5, p: 13}?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2, -9, -12, -11, -6, 3?\n\"Answer: 2*h**2 - 13*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 r, and 2 v when four letters picked without replacement from rxyxpyrpyrrvvxrxvyrp.\nAnswer: 24\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 318*m = 302*m - 80. What is the third biggest value in -2, 3\/4, m, 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fmff when four letters picked without replacement from {w: 4, f: 7, m: 4}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -255*d**2 + 42*d - 2 wrt d.\nAnswer: -510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 21*i - 67. Let a be l(24). Let z be (-8)\/(-1) - a\/25*20. Solve 12*s - 8*s = z for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 38116231, 76232457, 114348683, 152464909, 190581135, 228697361?\n\"Answer: 38116226*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 8, x: 5}. Give prob of sequence aa.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m*((m\/((m\/m**(-2\/39)*m)\/m))\/m)\/m)\/m*m)\/(m**(-10)*m))\/((m*m*m**(-4))\/m**(-3\/2)) assuming m is positive.\nAnswer: m**(737\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, 3, 17 in decreasing order.\nAnswer: 17, 3, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -9*d + 13*d - 45, -l = d for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(475)*-1)**2 + -1 - ((sqrt(475) - (1 + sqrt(475))) + 0)).\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y**2 - 4*y**2 + 6*y**2 + 4*y**2.\nAnswer: 11*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-865)\/435*3 - (8 - 23 - -9).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 150*t - 149*t = 7, -42 = m - 6*t for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 + 628*p + 7392.\nAnswer: -4*(p - 168)*(p + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 28\/364 + -4 + 1042\/(-26)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (429*i + 801*i + 319*i + 1566*i)*(2*i**2 - 3*i**2 + 3*i**2) to the form l*i**2 + a + w*i + y*i**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 + 71. Let t = 31 - a. Is t smaller than 1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6721 is divided by 144.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124 + 62 = -5*a + c, -76*a - 3*c - 34 = -75*a for a.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/6*3081\/158. Let b(y) = 25*y**2 + 4*y + 13. Let d(n) = 12*n**2 + 2*n + 6. What is v*d(p) - 6*b(p)?\nAnswer: 6*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -441*o - 28233. Determine h(-64).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -5*a**2 - a**2 + 2*a**2 - 678*a + 666*a. Let m(d) = -d. Calculate m(f(o)).\nAnswer: 4*o**2 + 12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -24*p**2 + 5*p + 1. Let o(u) = 115*u**2 - u. Let x(h) = 93*h**2 - h. Let a(y) = 4*o(y) - 5*x(y). Calculate -11*a(q) + 2*j(q).\nAnswer: 7*q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 98469720 to the power of 1\/3, to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -18660\/100363?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yjcysdjtcydycyscys. Give prob of picking 1 j, 1 c, and 1 d.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7544 and -0.6.\nAnswer: -4526.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 10265*g**2 + 76*g + 202. Is c(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b + -3?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2014512 is divided by 393.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 786, 781, 772, 759, 742, 721?\nAnswer: 696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - 3 - (40\/(-5))\/4. Let c(z) = -z**2 + 1. Let r(u) = 13*u**2 + 25*u - 6. Let t(i) = k*r(i) - 6*c(i). Find the second derivative of t(b) wrt b.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -1786?\nAnswer: 1802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 0.1 (c) -453 (d) 3\/8 (e) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -347938*q + 347940*q - 35*p = -251, -8 = -2*q - 2*p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47579\/20 + 2381. Calculate the common denominator of 107\/52 and q.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -w**9\/60480 + w**8\/4032 - w**7\/2520 - w**6\/180 + 2*w**5\/15 - 3*w**2. Let m(p) be the third derivative of y(p). Give m(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1847 is divided by 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003885869 rounded to six decimal places?\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 42\/15 - 1\/(-5). Let d be ((-3)\/p)\/((-2)\/6). Solve 2*h - 2*y = 2, 0 = y + d - 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 + 16*s**2 - 4*s**2.\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -3*x**7\/280 - 7*x**5\/120 - 3*x**3 - 7. Let z(o) be the third derivative of t(o). Find the second derivative of z(y) wrt y.\nAnswer: -54*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 30*z**3 + 2*z**2 - 1. Let c be (4\/(-1) + 9)*1\/5. Calculate u(c).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 2:40 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of 1\/42*i**4 + 2*i**2 + 0*i + 1\/21*i**3 + 1\/210*i**5 + 0. Factor y(j).\nAnswer: 2*(j + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5\/6*v**3 - 749\/6*v - 33\/2*v**2 - 539\/3 + 1\/6*v**4 = 0. Calculate v.\nAnswer: -7, -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147 - 11*y - 148 + 3*y.\nAnswer: -8*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 r when three letters picked without replacement from jjgjjjjggjjgggrjj?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*w + 8 = -70*w + 3*k, -w + 3*k = 11 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -v**4\/6 - 4*v**3\/3 - 4*v**2 + 7*v. Suppose n(p) = 0. Calculate p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 + 36. Let s(z) = 4*z**2 + 4*z + 1. Let u be s(-2). Suppose -7*q = -u*q + 4. Solve 2*g - 3*y + 9 = g, -5*g = q*y + n for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 + 2. Is 19 a factor of 0 + -2 + -1 + v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -29562*v + 236439. What is k(8)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8 - 1) + -1 + -2. Suppose -i = -2*d - 2. Calculate the highest common divisor of 2 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -21?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -5*s**3 + 2*s**2 - 5*s + 2. Let q(c) = -9*c**3 + 3*c**2 - 9*c + 4. Let j(z) = 11*o(z) - 6*q(z). What is j(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -206\/65101 in descending order.\nAnswer: 4, -206\/65101, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 0.3, -1, 0.4, 0.004 in descending order.\nAnswer: 3, 0.4, 0.3, 0.004, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143418.\nAnswer: 2, 3, 11, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2990.\nAnswer: 2, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of 13*q**8\/336 + 11*q**4\/24 - 9*q**2. Find the second derivative of r(k) wrt k.\nAnswer: 260*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68.1 times 0.3\nAnswer: 20.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/10245339 and -83\/6630?\nAnswer: 102453390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/12*0)\/2. Let x be -3*(0 + -1) - 5\/5. Solve s = -3*z + x*z - c - 3, 5*z = 2*c + 20 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 10 = -w, 5*c = 4*w + 6 - 1. Suppose w*q = 4*q + 59. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38) - sqrt(342)\/(sqrt(9)*-1))*-3)\/(sqrt(10)\/(-5*sqrt(5)*-1)).\nAnswer: -30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187)*1*6 + -1*sqrt(187)*-2)\/((sqrt(165)\/sqrt(3))\/sqrt(5)*-3*3))**2.\nAnswer: 1088\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 9513.\nAnswer: -1\/9513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 6*i + 12 = 0, -p + 2*i + 7 = 0. Let g be -20*19722\/4 + p. Let a = -175611 - g. Round a to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 983091 is divided by 150?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72665, 72674, 72689, 72710, 72737?\nAnswer: 72770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4519939?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4 = -4. Let c be u*(-1)\/(2 + -3). Suppose 0*q + q = -4*a + 44, -2*a = c*q - 28. What is the lowest common multiple of 20 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 + 116 - ((0 - 1) + 0 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1673 is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and 107.7861772.\nAnswer: 107.5861772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 54*c**2 + 54*c + 51. Let n be 85393\/(-1617) + (-4)\/21. Determine f(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 9261351?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-182)\/(-143))\/(7\/(-77))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 3:26 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 335\/1148 - 1\/164. What is the second smallest value in -0.4, a, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15006738 by 13038.\nAnswer: 1151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*(-32)\/168*3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 19 + 9. Suppose 415 = -c*p + 5*u + 1355, -4*p + 749 = -5*u. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 263*d**2 - 56*d - 14001. Give p(-263).\nAnswer: 727","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -3\/7 (b) 1016.5 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -19 in decreasing order.\nAnswer: 2, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -5*j - 28. Let o be h(-6). Solve o*m + 3 = 3*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p**3 + 31*p**2 - 19*p + 5. Calculate the smallest common multiple of y(6) and 4.\nAnswer: 7484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1506*m - 1505*m + 2*d - 17044 = 0, 5*d = -2*m + 34092. What are the prime factors of m?\nAnswer: 2, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 653, 1336, 2019, 2702?\nAnswer: 3385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -176 - -266. Suppose -4*p = -p + f - 118, -2*p + 5*f + v = 0. Let i be 1\/(8\/(-10) + 1). What is the highest common divisor of p and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**3 - 100*f + 48*f - 9444327 + 4722158 + 52*f + 4722169.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 18*u**3 + 3*u**2 + 3*u - 11. Let q(s) = s**3 + s**2 + s - 1. Let j(m) = -3*q(m) + t(m). What is the derivative of j(v) wrt v?\nAnswer: 45*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(5 - -3) - 0\/(-4)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 6 = -0*y. Suppose -22 = -4*i - 5*w, -3 + 7 = -2*w. Suppose 0 = 2*z - 0 + i. Which is bigger: z or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -2*q - 20, -q = -d - 5*q - 22 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 369 and 238333?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 995147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(3) + (sqrt(12) + 0)**2 + ((sqrt(3) + sqrt(12) + 5)*-2)**2)*-5.\nAnswer: -1095 - 605*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 11 = 2*p - 15, 13*p = 2*k + 100 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p, 1 b, and 1 u when four letters picked without replacement from {b: 3, i: 3, u: 2, d: 1, h: 3, p: 2}?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -14365?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29.5 + -8.5. Let k = y + -11.9. Let m = -4.1 + k. Sort -0.4, 1\/2, -3\/4, m in ascending order.\nAnswer: -3\/4, -0.4, 1\/2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2 + 1*(sqrt(133) + (-5*(sqrt(133) + sqrt(133)*1 - sqrt(133)) - sqrt(133)) - sqrt(133))\/sqrt(7).\nAnswer: -6*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -858886 and -0.469?\nAnswer: 402817.534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(2 + 0 - 4)*(-14 + 16 + 145*i - 848*i).\nAnswer: 1406*i - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -61 - 106 - 5*k**3 - 2*k**4 - 2*k + 224 + 4*k**3 as h + p*k**3 + l*k + n*k**2 + m*k**4 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r + 274*r**2 - 278*r**2 + 2*r. Let s(y) = -207*y**2. What is w(s(u))?\nAnswer: -171396*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 190 - 172. What is the highest common divisor of 9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 497\/3 + 12\/36 + 3 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8a3d5c + 2?\nAnswer: -8a3d5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 6*i**2 - i + 5. Is 7 a factor of d(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35578048315 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191817?\nAnswer: 3, 21313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -218 - -233. Calculate the remainder when 69 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1971 + 3281. Let f = q - 909. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5799 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - p = -4*p + 13, 4*p - 14 = -2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (12 + -2)) + (5 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17156 to the power of 1\/2, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 607*k**2*s**3 + k*s**2 - k*s + 337*s**3 wrt k.\nAnswer: 1214*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 6195837 + 4*f**3 + 3*f**3 - 3*f**3 - 6195028 in the form r + j*f**2 + d*f + x*f**3 and give r.\nAnswer: 809","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f - 1. Let z be w(-1). Let a be (8\/2)\/(-8)*-6. Suppose 39 = a*x + 15. Solve 0 = z*t - x - 2 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14*-4*((-3)\/(-42) + 0). Let z(k) = -k**2 - 13*k + 3. Let w be z(-13). Suppose -4*s + 4 = -4*g, 2*g + w*s - 3 = -10. Put 3, g, i, -3 in ascending order.\nAnswer: i, -3, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s + 8636 - 8634 + 15*s - 26*s**2 to the form o + c*s**2 + p*s and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 201065 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 97284 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 261*g. Let i(v) = v**2 + 20*v - 4. Let z(s) = 15*s - 3. Let h(x) = -3*i(x) + 4*z(x). Calculate p(h(a)).\nAnswer: -783*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8 + -10 + 4 + -5. Let t be (-2 - r\/(-6)*-4)\/1. Suppose t + 1\/5*p**2 + 0*p + 1\/10*p**4 + 3\/10*p**3 = 0. What is p?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -137 (base 8) in base 16?\nAnswer: -5f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + -1 + 2 + (-6*(sqrt(475) + 0) - sqrt(475)))*1)**2.\nAnswer: 93100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 3*b**2 + 4*b + 2. Let r be d(4). Let q(f) = 62*f - 1. What is the units digit of q(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 4*r = 22, 4 - 18 = 2*p - 2*r for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/7))**(1\/10)\/(b*b**3\/b*b*b\/b**(-5))*b\/(b*b\/b**(-3\/7)*b)*b*b*b**(-4)*b*b*b*b*b\/(b**1\/b*b)*b*b\/(b\/(b*b**3))*b assuming b is positive.\nAnswer: b**(-22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.3, 237, -71, 0.2, 5.7 in descending order.\nAnswer: 237, 5.7, 1.3, 0.2, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1296877*i - 4*c = -1296876*i - 73, 3*c + 6 = 0 for i.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -82464*0.2\nAnswer: -16492.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 921829 and 106.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*q - 73*w = -69*w + 44, -q + 4*w = -29 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60 + -42. What is the remainder when 105 is divided by (z\/(-7))\/((-18)\/84)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -792*y + 792*y + 1177*y**2 + (-3*y + 4*y - 2*y)*(-2*y + 4 - 4) to h*y**2 + u*y + o and give h.\nAnswer: 1179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 7 = 3*n, p - 3*p + 13 = -n. Suppose 0 = 3*z + 2 - p. Let w be (-85)\/(-25) - (-2)\/(-5). Sort w, 5, z in descending order.\nAnswer: 5, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - 4*n - 4, r - 2*n - 2 = 2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*k - 4. Suppose t - 4 = -k*t. Let g(p) = 4*p + 2. Let d be g(t). Solve 2*q = d*q + 4*f - 20, f = -4*q + 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/212 and 53\/12.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 387, -3, -6, 2244 in descending order.\nAnswer: 2244, 387, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29619 - -29683. Solve 121 - c = 57*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4*j - 8 + 7)*(-10 - 21 + 6).\nAnswer: -100*j + 50","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12455 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 20884474?\nAnswer: -6265342.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 5 + 1 + (1 - 2 + 0)*(-1 + 2 - 2) + 0 + 4 - 2 + 0 - 2 + 3)*(-4*y**4 + 0*y**4 + 3*y**4).\nAnswer: 14*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -11*h**7\/42 + 5*h**6\/6 + 49*h**5\/4 + 85*h**4\/3 + 50*h**3\/3 + 14*h**2 - 4. Find z such that t(z) = 0.\nAnswer: -2, -1, -2\/11, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 49866*a - 14886.\nAnswer: 49866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -32*a**3 - 4*a + 17*a**3 - 7*a**2 + 3*a**2 + 3 + 5*a**2. Give n(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 7 = -4*j. Suppose 7*m - 72 = j*m. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 - 9622*s + 19766584.\nAnswer: -2*(s - 1553)*(s + 6364)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122 + -12010022?\nAnswer: -12002200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 175*y = -100*y + 18200 for y.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -941\/259, 0.2, 0, -5\/2 in ascending order.\nAnswer: -941\/259, -5\/2, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-12) - (-20)\/(-240). Factor l*k**3 + 3\/4*k**2 - 3 - 3*k.\nAnswer: 3*(k - 2)*(k + 1)*(k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) 2\/9 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 629244.3032 rounded to the nearest 1000?\nAnswer: 629000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-87)\/408204*-69*16\/(-1)\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6c7 + 4?\nAnswer: 6cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 7*i**3 + i**2 - i - 1. Suppose 12 = 3*f + f. Suppose 4*l = 2*q + 10, 4*l - 1 = -q + f*l. Give y(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/11, 3, 1\/4, 1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -407 or 1?\nAnswer: -407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.291 and -0.2.\nAnswer: -0.0582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 376 + -375. What is the smallest value in 0.3, 0.4, l, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 + -13. Suppose -6*s = -10*s. Suppose s = 137*x - 141*x + 204. Calculate the highest common factor of x and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 650, 1459, 2268, 3083, 3910?\nAnswer: 4755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 206487172 to the nearest integer?\nAnswer: 14370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 1039 = -2*d, 2*h + 2*h = -d - 4120. Let j = h - -1457. What is the common denominator of (6\/(-20))\/((-36)\/j) and -35\/22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3381 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 23 + -14 + 8 + 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*v - 4*q + 51, 3*v - 4*q = 59. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*q - 293 = 21*b, 357*q - 352*q - 2*b = 82 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12*(-11)\/176)\/(734265\/7560)?\nAnswer: 2\/259","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2 + sqrt(19) + 4 + 2 - (sqrt(19) - sqrt(304)*1 - (sqrt(19) - (2*sqrt(152))\/sqrt(8) - sqrt(19)))))**2.\nAnswer: 400*sqrt(19) + 2300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 27*m**2 + 22*m - 97. Let q be k(-26). Let y be (20\/q)\/((-8)\/(-532)). What is y rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + -4 + (32 - 13).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 - 19. Suppose 0 + 36 = 3*o. What is the least common multiple of g and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-20)\/12)\/((-1)\/12). Let l(c) = -6*c + b*c - 3*c - 49 + 0*c. What is the tens digit of l(18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4977*c**5 + 73050*c**4 - 107043*c**3 - 24396*c**2 + 52836*c + 576 = 0. Calculate c.\nAnswer: -16, -2\/3, -6\/553, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5700*c**2 - 709*c**2 - 646*c**2 - 2036*c**2.\nAnswer: -9091*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5627310 and 16770?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) - 6*sqrt(363)*1)**2 - (sqrt(300) + (sqrt(300)*-2 - sqrt(300)) + 2 - sqrt(300)).\nAnswer: 30*sqrt(3) + 9073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 5*y**2 - 16770*y + 50265 = 0.\nAnswer: 3, 3351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h - 2. Let l be t(0). Let w(i) = i**2 + i + 1. Let j be w(l). Suppose 0 = f - j. Solve 4*c - f*c = 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t - 11. Let u = 1057 + -1865. Let w = u + 803. What is r(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -13. What is the second derivative of -o**3 - m*o + 5*o**3 - 21*o wrt o?\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10101012 - 20?\nAnswer: -10101102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 121*d + 748 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 13. What is the units digit of n - (6 - (-1 + 4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + i = 149, 32*i + 167 = 2*d + 27*i. What is the smallest common multiple of 156 and d?\nAnswer: 2964","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Do -2\/7 and 3925.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1363 + 453 + 457 - 6*i + 448.\nAnswer: -6*i - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 950931 and 1079?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 360 divided by 72\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**3 - p**3 + p**3 + (-2*p + 0*p + 0*p)*(-2*p - p**2 + 2*p) + (p + 9 - 9)*(p - 2 + 2)*(-2*p - 1 + 1).\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -19375, -38752, -58129, -77506, -96883?\n\"Answer: -19377*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -3. Let p be (9\/(-15))\/((-6)\/c). Let d = -2 - -1. Which is bigger: d or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 10 - ((-3 - (0 - 0)) + -15).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(81)\/sqrt(3) - sqrt(3)).\nAnswer: 2 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7020440 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*a*h*y**3 - 5*a*h*y**2 - 4*a*h + 24*a*y**3 + 17*y**2 wrt y.\nAnswer: -78*a*h + 144*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 5 = -3*m, -45*x + 47*x - 4*m - 1 = -1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*h = -n - 5, 2*n - 5*h = -1. Let k(u) = u**2 - 6*u - 1. Is k(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d**3 + 39*d**2 - 3203*d + 45295. Determine k(14).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 2. What is the lowest common multiple of (111 - 100) + (-10)\/1 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -4*w + 32 - 44, 4*w = 2*h - 12. Put w, 1, -0.2 in descending order.\nAnswer: 1, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -17. Let c(z) be the second derivative of z**5\/20 + 5*z**4\/6 + 7*z**3\/6 + 9*z**2\/2 - 15*z. Is 9 a factor of c(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000039816 to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, 4\/9, -1\/3647?\nAnswer: -1\/3647","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -62384 and -62382 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -289491.\nAnswer: 2\/289491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 9:43 AM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 1 + i**3 - 8 + 4.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 + -27)\/(3 + 0)*5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 72*j + 570. What are the prime factors of i(24)?\nAnswer: 2, 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7.7 (b) 3 (c) -0.1 (d) 0.1 (e) -5 (f) -1\/124\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i - 20. Let d be t(-13). Suppose d*v = 17*v - 33. What are the prime factors of 0 - -55 - (0\/v)\/(-4)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-20)\/8*-2)\/(-1). Let m(a) = -3*a + 8. Is 15 a factor of m(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-2.1\nAnswer: -10.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*d - 12, -3*h - 4*d + 15 = -2*h. Factor 4 + 12*r - 28*r**4 + 6*r**3 + 16*r**2 - h*r**2 + 29*r**4.\nAnswer: (r + 1)**2*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 201996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -40554.4 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 129194225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2422366391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3886656481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1775031 to the nearest integer?\nAnswer: 1332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -6*w + 10. Let y(k) = -2*k + 3. Let s(q) = 3*v(q) - 10*y(q). Let f(t) = -t. Let r(j) = -11*f(j) - 6*s(j). Let d(x) = -x. What is d(r(b))?\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*q + 22*q + 84. Solve -q = -5*t - 2*k - k, 4*k = -3*t + 19 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3696 = -5*p - 9*s + 6*s, 2*p + s = -1479. Let q = 750 + p. Calculate the greatest common factor of 387 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1241230 (base 5) to base 2\nAnswer: -101111111110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 5 - 3 = 0. Let q(o) be the third derivative of 0*o**5 - 4*o**z + 0*o**4 - 1\/60*o**6 + 0*o + 0 + 1\/3*o**3. Find the first derivative of q(p) wrt p.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 9 = -5*p + 2*d, -3*d + 12 = 0. Let z be ((-6)\/(-4))\/(p\/(-10)). Solve 2*r + 15 = -z*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/6 - 84\/(-18). Let o(m) = 4*m**2 - 3*m**3 + 2*m + 2*m**3 - q*m - 4. Calculate o(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -97, -17, -28.\nAnswer: -97, -28, -17, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 42 (b) -1 (c) -2\/3 (d) -0.1 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 0*l**2 + 4\/63*l**3 - 2\/21*l + 0*l**4 - 2\/105*l**5 + 27. Solve z(i) = 0 for i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*t + 235 = -3*t + 61 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ovovooo. Give prob of picking 4 o.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k - 8. Let i(q) = 5*q - 15. Let t(b) = 4*i(b) - 7*y(b). Let g be t(-6). Let o(d) = 2*d**2 - 12*d - 11. Let l be o(7). Solve p = -g - l for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -9*y**2. Let o(b) = -b**2 + 0*b**2 + b**2 - b**2. Give o(v(w)).\nAnswer: -81*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59865*z - 59869*z - 5*z**3 + 119727*z.\nAnswer: -5*z**3 - 7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.6 - -7. Let y = d - -0.4. Let x = y - -0.7. Which is the second smallest value? (a) x (b) -1\/8 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123, 266, 655, 1044?\nAnswer: 1433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 151130?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h + 33. Calculate q(-14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*l**2 - 5*l**2 + 3*l**5 + (-l - 2*l**5 + l)*(85 + 107 - 836).\nAnswer: 1291*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8110 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l**3 - l**2 + 12*l + 12. Let i(y) = 2*y**3 - y**2 + 11*y + 12. Let r(k) = 4*i(k) - 3*m(k). What is f in r(f) = 0?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 b when four letters picked without replacement from {q: 1, e: 1, w: 5, i: 6, b: 2}?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 0. Let r = 14 + v. Suppose 0*s - 168 = -2*a + s, 0 = r*a + 4*s - 263. Is 24 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/4)\/(s\/((s*s*s\/(s\/((s**(-9)\/s)\/s)))\/s*s)))**(-1\/21) assuming s is positive.\nAnswer: s**(43\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(43608\/384)\/(-79)?\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 320952711 to the power of 1\/3, to the nearest integer?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, e: 13}. What is prob of sequence kkkk?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -0.3 (c) -7 (d) 0.9 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4116518142 to the power of 1\/3, to the nearest integer?\nAnswer: 1603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -8, 2, 2\/9, -263, 54?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4265*v**5 - 11*v - 226.\nAnswer: -85300*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3115\/2 - -1602. Is r not equal to 46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g. Let k be u(1). Suppose m + 67 = q - k*q, 3*q = -2*m - 136. Let a = m - -305. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172655 is divided by 28773.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2365416 divided by 47?\nAnswer: 50328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-46)\/(-506) + (1 - (-1000119976)\/22). Round q to the nearest 1000000.\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404588694 to the power of 1\/5, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/sqrt(2))\/sqrt(5)*-6.\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*i**3 + 213*i + 66*i**3 - 111*i**3)*(-5*i + 5*i + 3*i**2).\nAnswer: 3*i**5 + 639*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*x = -84*x - 154. Let j = 81 - x. Suppose -j*k + l + 157 = 2*l, -5*k - 4*l + 188 = 0. Is 13 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**3 - 3*c**2 + 2*c - 5. Calculate the remainder when 110 is divided by y(3).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 + -33. Let x = g + 2. Suppose 0 = -x*q + 49 + 31. What is the highest common divisor of 5 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q**2 + 8*q**2 + 5*q**2 + (1 - 3 + 9)*(3*q**2 - 5*q**2 + q**2))*(-q**2 + 0*q**2 + 4*q**2) as t*q + w*q**4 + d + n*q**3 + i*q**2 and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = o, 1620 = -5*d - 5*o + 10175. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = m + 208. What is the remainder when m is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/2)*g*(g\/g**(-1\/53)*g)\/g assuming g is positive.\nAnswer: g**(161\/106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s = 18*s - 70. Is s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + 318\/57 - (4 + -1). Are 0 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) -7\/2 (c) -3 (d) 0 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 25*o**2 + 15*o + 27. Let a be x(25). Suppose 52*i - 51*i = a. Does 21 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.949 + 2.449. What is the closest to 0.3 in -0.1, 4, v, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v + 66 + 18. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 7*h + 8. Let r(f) = -11*f - 32. Let q(p) = -p - 5. Let o(m) = 5*q(m) - r(m). Calculate -6*o(d) + 5*s(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 13. Suppose -b + 3*r + 3 = 3*b, 4*r = 2*b - 4. Suppose b*y + 2*y = k. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(24 - (1 + 6)). Suppose x*n = -378 + 1058. Solve -n*z = -42*z - 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/717, 0, -4, 1\/4, -0.3, -5.\nAnswer: -5, -4, -0.3, -1\/717, 0, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5 + ((sqrt(9)\/sqrt(3))**2*-1*-4 - ((1 + sqrt(243) - sqrt(3)) + -4)) + -5).\nAnswer: -30 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -7*f**3 - 12*f**2 + 6*f + 26. Let t(v) = -3*v**3 - 6*v**2 + 3*v + 13. Let n(a) = 2*h(a) - 5*t(a). Let m be n(-6). Solve 6 = w + m for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10089901.\nAnswer: 10089901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-4 - (-11 + 9)) - -9.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 203939?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -320 + 35?\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*p = -2*h + 10, -2*p - 167*h = -170*h + 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-42)\/1281*105\/(-6) and (63\/(-12))\/(6\/(-44)).\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -160 + 281. Suppose -2*q + 3*m = -p, -3*q + 92 = -2*m - 97. Calculate the greatest common divisor of q and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -3*c**4\/4 - 7*c**3 - 33*c**2\/2 - 15*c - 13. Solve h(q) = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 444 - 479.7. Let u = 243.7 + h. Let m = 207.99909 - u. Round m to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*f**2 + 119*f**2 + 93*f**2 - 207*f**2 + 271*f**2.\nAnswer: 354*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (28\/6)\/(4\/(-6)). Let z be (-4)\/8 + x\/(-2). Solve -2*j + 3*a - z = 0, 4*j + 2 = 3*a - a for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, 108, 155, 202, 255, 320, 403?\nAnswer: 510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 272*z**2 + 11*z + 11. Let b be a(-1). Let r = -270 + b. Sort -2, r, 11 in descending order.\nAnswer: 11, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*n**2 - 14*n**2 + 2*n - 2*n**3 + 0*n**3 + 1 to the form t + x*n**3 + q*n + c*n**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -194 (base 10) to base 8.\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36550, -2\/21, -1, 3\/58.\nAnswer: -1, -2\/21, 3\/58, 36550","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Put -5642, -0.4, 2\/15 in decreasing order.\nAnswer: 2\/15, -0.4, -5642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4930, 0, 5, 9 in ascending order.\nAnswer: 0, 5, 9, 4930","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3224 - -2879. Sort 0.3, b, -0.2 in descending order.\nAnswer: 0.3, -0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306*d - 186*d - 14*d - 16698 = 0 for d.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/11, 0.1, 0.2, 2 in ascending order.\nAnswer: 0.1, 0.2, 4\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 742315?\nAnswer: -2\/742315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 346\/13 or -2?\nAnswer: 346\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 7*p + 8. Let n be v(-6). Let t(h) be the first derivative of -2*h**3\/3 + h**2 - 12. Give t(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 2. Let l = 12258.0464 + -12267. Let b = l + -0.0464. What is the third smallest value in u, 4, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -614 divided by -2?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*v**2 - 5*v**2 - v**4 + v**4 + 5*v**6 wrt v?\nAnswer: 600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03871 * -0.3\nAnswer: -0.011613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 2*d - 20, d = 34 - 41. What is the nearest to x in 1\/12, 1, -49?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-672)\/1176)\/((-8)\/(-84))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + d - 13, -3*d = 2*l + 2*d - 38. What is the remainder when l is divided by (756\/210)\/(1\/(-5)*(-16 + 13))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2.18, 4, 1\/16?\nAnswer: 2.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggggggggggggglgggg. Give prob of picking 2 g.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*o - 6 = 0, 9 = -v - 3*o + 12. Let t(c) = 212*c**v + 7*c + 2 + 212*c**3 - 425*c**3 + 4*c**2. Let m(l) = l + 6. Let q be m(0). Give t(q).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*z + 42 = 17*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 1:02 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-6)\/10)\/(8\/(-240))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74441937 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 12:30 PM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2184 divided by -3.\nAnswer: -728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 480 + 9\/2*b**4 + 447*b**3 + 1662*b**2 - 27\/4*b**5 + 1632*b = 0. Calculate b.\nAnswer: -4, -2\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.588 rounded to 1 decimal place?\nAnswer: 15.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does -372 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -86 + (2 - -8) + (-14 - 216\/(-9)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 9216\/41 and 224 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 19*(-31)\/(-4123)*510\/((-100)\/(-10))\nAnswer: 51\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 7:18 PM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (15383 - -2) + (0 - 2). Let o = d - 8083. Round o to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yexevevdegdvddv. What is prob of picking 1 x and 1 y?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 609557 is divided by 1674?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2 - 4 + 2*i - 2. Let o be l(6). Solve 6*t = o*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 + 6*o - 2*o + 17*o**3 - 3*o + 3 - 3*o**2. Is m(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37 + 148. What are the prime factors of c?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-81)\/(-54)*(0 - 2\/(-36)). Let a(t) be the third derivative of t**2 + 0*t**5 - v*t**4 + 0*t + 0 + 1\/180*t**6 + 2\/9*t**3. Factor a(u).\nAnswer: 2*(u - 1)**2*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 3:21 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 39 - h + 8)*(2*h**3 + 0*h + 0*h).\nAnswer: -2*h**4 + 82*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4541962kg to grams.\nAnswer: 454.1962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229516357?\nAnswer: 7, 32788051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -220, -227, -248, -289, -356, -455?\nAnswer: -592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven eighteenths of a day?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -189 * 76603\nAnswer: -14477967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-112)\/(-180)*9 + (-4)\/(-10). Solve -y = -329*t + 327*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 6:55 AM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 20*l + 259. Determine k(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.93597589 rounded to three decimal places?\nAnswer: -3.936","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.4 and -0.037.\nAnswer: 0.0518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of f**5\/60 - f**4\/4 - 157*f**3\/3 + 619*f**2 - 2. Determine o(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, f: 7, s: 1, g: 6}. What is prob of sequence sn?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 74, -52 in increasing order.\nAnswer: -52, -5, 3, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 7*q + 10. Let b be v(-2). Let s(h) = -12*h**3 - 11*h**2 - 11*h + 11. Let g(j) = j**3 + j**2 + j - 1. Calculate b*s(l) - 44*g(l).\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 314\/5 at least 64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away 77868?\nAnswer: -77867.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 - -5. Suppose 0 = 3*h + 2 - g. Is 3 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 510\/595*63\/(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -76 - -4?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5124 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-6))\/((-4)\/(-32)). Let k be 17\/(-68) + 1\/p. Solve k = -a + 3 - 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -18*j + 16, -3*j + 6*l - 3*l - 4*l - 4*l - 5 = -25 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (18\/45)\/((-122)\/10). Suppose 0 = 5*k + 3 - 23. Suppose 6*v - 2 = k*v. Which is smaller: v or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 5*u - 27, -5*s + u + 13 = 1. Let t(z) = 3*z + s - 2 - 3. What is the units digit of t(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 14. Suppose 0 + 3 = 3*r, -5*c + r = u. Solve -x + 1 + 0 = c for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -820 by -410.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -382458 divided by 127486?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -7741 + -32.40154\nAnswer: -7773.40154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*f - 523, 913 = -0*c + 5*c - 2*f. Let g = -176 + c. Solve 7 = -3*o - g for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2792928 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (((-21)\/3)\/((-9)\/(-3)))\/((-42)\/126)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 726935566.\nAnswer: 2, 7, 673, 77153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -58, 0.4, -24\/19, -0.5, 1, 3\/14?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.5 + -2. Let x = -0.6 + -0.4. Which is the nearest to -0.1? (a) x (b) m (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3312\/(-36))\/23)\/(22*(-6)\/2)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 96\/19 + -337\/266. Let o(j) = j**3 + 9*j**2 + 6*j + 4. Let g be o(-9). Calculate the common denominator of s and 285\/(-24)*(-12)\/g.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 135*c**5 + 46995*c**4 + 3987140*c**3 - 2679020*c**2 = 0. Calculate c.\nAnswer: -1798\/9, -149, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 3*y**2 + 5*y - 5. What is the remainder when w(4) is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.19 + -0.93. Let x = 0.83 + z. Which is the nearest to 1\/3? (a) 5 (b) x (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -4, 17, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 281*w**2 + w + 6*w - 2*w - 297*w**2 - 3*w.\nAnswer: -16*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -2*v**6 + v**5\/10 + 11*v**4 - 48*v. Find the third derivative of q(n) wrt n.\nAnswer: -1440*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 4*k**5\/5 + 6*k**4 + 52*k**3\/3 + 24*k**2 + 16*k + 16. Solve g(l) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -59, -27, 0, -4950 in descending order.\nAnswer: 0, -27, -59, -4950","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*b = 21*b - 675 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4963, -5018, -5169, -5464, -5951, -6678, -7693, -9044?\n\"Answer: -8*f**3 + f - 4956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) -0.14 (c) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from moggggmgggmmgmqmm. Give prob of picking 1 m and 1 q.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pee when three letters picked without replacement from eeepeepeeepe.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*w - 6*w + 32. Let v be (w - 28\/(-4))\/((-1)\/(-3)). What is the remainder when v*((-2)\/(-6) + 56\/(-21)) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4959 at least -53722?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -y**5\/20 + 59*y**4\/12 + 17*y**3\/2 - y**2 + 1904*y. Calculate i(40).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2310487*t + p + 103 = 2310492*t - 2*p, 4*t - 3*p = 83 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + p = h - 4, -11 = -2*h - 5*p. Factor 12*k**2 - 6*k**h + 18*k**2 - 18*k + 5 - 1 - 10*k**2.\nAnswer: -2*(k - 2)*(k - 1)*(3*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d401b (base 15) to base 12.\nAnswer: -28482b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*b + 346 = 0, -3*d - 3*b = -57 - 129. Calculate the highest common factor of d and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -37, -2, -2\/7 in decreasing order.\nAnswer: -2\/7, -3\/2, -2, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -234 + -61?\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0258579194 rounded to six decimal places?\nAnswer: 0.025858","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 672483640 a multiple of 1292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2207082 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s + s - s)*(4 + 4 + 0)*(-3*s**2 - 2*s**2 + 2*s**2) in the form z*s + o + u*s**2 + g*s**3 and give g.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/((-1)\/(-1))*-11. Calculate the greatest common factor of 22 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4026995 is divided by 113.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f + 18. Let k be b(10). Suppose -37 = -k*j + 27*j. Let h = -22 + j. Solve 4*r = 3 - h for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-5 + (sqrt(19) + (sqrt(95)\/sqrt(5) - sqrt(19)) + -2)*6*1)**2.\nAnswer: -204*sqrt(19) + 976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 + 2)*(0 + 8 - 1)*(-2*m - 2*m + 3*m) to i*m + z and give i.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49 - -52. Suppose k*z - z - 1780000 = 0. What is z rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) + sqrt(175)\/sqrt(5))\/sqrt(7) + -2*(sqrt(20)\/sqrt(4) - sqrt(5))**2.\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3146110 and 4884.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.38*-8284.\nAnswer: -77703.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 294155 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 114813*s**2 - 8643*s wrt s.\nAnswer: 229626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 51, -6\/5, 1\/15, -2 in increasing order.\nAnswer: -5, -2, -6\/5, 1\/15, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 6 = -0. Suppose -u = 3*f - 5. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 105*j**2 + 34*j**3 - 104*j**2 + 6 - 2 - 2 in the form y*j**2 + b*j**3 + z*j + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuhuuuuuuuuuuuu. What is prob of picking 1 u and 1 h?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143975617 is divided by 1180128.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 10 = -3*h + 5*w, 0 = -h + 2*w - 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 21\/2 of a meter?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-17 + 6 - -28).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 310199569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2145279 divided by -1?\nAnswer: 2145279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 2909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29141219 = 31*p + 2729219. Suppose 0*w = -4*w + p. Round w to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/92 + (-37)\/(3108\/(-6741))?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 3*h - 1. Let f be o(4). Suppose 0 = -6*b + 3*b - 5*g + 97, 0 = 2*b + f*g - 63. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4 + 100*u**3 - 411*u**2 + 518*u - 208.\nAnswer: (u - 2)*(u - 1)**2*(u + 104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -0.121 (b) 630 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, x: 3, q: 4, a: 4}. Give prob of picking 1 q and 2 h.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (16 - 14) + 2 + -10 + 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, z: 1, c: 3, q: 1, o: 3, g: 3}. Give prob of picking 3 i.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3105)\/(-189) - 3\/7. Let j = 18 - w. Solve -3*b - s = 8, b - j*s = -4*b + 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2809 is divided by 1401.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15232 + 4?\nAnswer: -15225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 119\/4093 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204387522 is divided by 15722114?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2545 or 1\/5879?\nAnswer: 1\/5879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6217077 and 8676.\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50967 by 9.\nAnswer: -5663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of a**8\/40320 + a**7\/5040 - a**6\/96 - 11*a**5\/15 + a**4\/12 + 77*a**2. Let p(m) be the third derivative of j(m). Factor p(d).\nAnswer: (d - 3)*(d + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 516 and 104835548?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + 13 + (-3 - -6) + 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 greater than or equal to 155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 1:56 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-1 + -3 - (-7 - (-17 - -7)))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13042 - 33012?\nAnswer: -46054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 108.04651.\nAnswer: -432.18604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, m: 4, n: 8}. Give prob of picking 1 n and 3 m.\nAnswer: 32\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14 + (-215)\/15 - (-5)\/45. Sort 2\/3, 13, k, -0.24.\nAnswer: -0.24, k, 2\/3, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((9\/63*-9)\/((-135)\/63))\/((-43)\/(-1505))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5848633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*m*p**3*y + 65640*m*p*y**3 + 2*p**3*y**2 - 3*p**3*y - 1941*p**3 + 5*p**2*y**3 + 3 wrt m?\nAnswer: -2*p**3*y + 65640*p*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1116491140 to the nearest integer?\nAnswer: 1037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -20f2a7?\nAnswer: 20f2a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i**3 - 3*i**3 - 2*i**3)*(257*i - 63*i + 4 - 130*i) to u*i**2 + l*i**3 + m*i + g*i**4 + z and give g.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 19 - 51. Suppose -6*q + 28 = -2*q - 3*k, 0 = -2*q - 4*k - i. What is the derivative of q*d - 21*d - 5*d + 32 wrt d?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -7*c - 3. Let a be p(-14). Suppose 85 = 6*u - a. What is the greatest common factor of 15 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 108709240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -4*x**4 + 132120*x**3 + 2908416*x**2 + 5288320*x = 0.\nAnswer: -20, -2, 0, 33052","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 3*n**2 + 7*n + 1. Let f(k) = k**3 + 9*k**2 - 10*k - 3. Let c be f(-10). List the prime factors of b(c).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1322713 + 1174?\nAnswer: 1323887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 7691 = -3*p, -4*a - 4*p + 1100 = -6556. Suppose -a = -19*b + 1995. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4518929?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 398.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -4\/7, -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 5. Sort 0, -1\/2, a.\nAnswer: a, -1\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18227614291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-6 + 1815)*((-40)\/24)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 3657*l**5\/5 + 2*l**3\/3 - 1423*l**2\/2 - 209. Find the third derivative of k(n) wrt n.\nAnswer: 87768*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i + 1. Let d(q) = q - 1. Let l = 60 - -19. Let m = 80 - l. What is m*w(h) + 4*d(h)?\nAnswer: h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d**2 - 4*d - 4. Let j(t) = t**2 + t + 1. Let u(n) = -4*j(n) - r(n). Let f(m) = -5*m - 1. Let h be f(-1). Let x(v) = h - 4 + 2*v**2. Give x(u(o)).\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p - 3*p - 815 + 813. Let n(s) = 5*s + 2. What is -3*j(k) - 4*n(k)?\nAnswer: -5*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*i - 4*l - 66539 = -36*i, -i - 3*l = -13323. Calculate the lowest common multiple of i and 1.\nAnswer: 13311","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2300 = 2*a - a + g, -a + 3*g + 2308 = 0. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.041 - -0.1308199389?\nAnswer: 0.0898199389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 8 = 49*o - 45*o, -5*t - 10 = -5*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) -7 (b) -2\/11 (c) 1\/6 (d) -0.3 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 2*s**2 + 2*s - 3. Let v(k) = 2*k**3 - 23*k**2 + 11*k + 2. Let n be v(11). Give r(n).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 144807, 289615, 434425, 579237, 724051?\n\"Answer: a**2 + 144805*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 28520033?\nAnswer: -28520034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 228b3 + -3?\nAnswer: 228b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 56244780 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -75, 0.02 in decreasing order.\nAnswer: 4, 0.02, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2212422534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -58572*b**2*p**3*t**2 - 3*b**2*p**3*t + 9*b**2*p**3 - b**2*p*t**2 + 2*b**2*p - 116*b*p**3 - 6*p**2*t + p wrt t.\nAnswer: -117144*b**2*p**3 - 2*b**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -458 - -706. What is the least common multiple of 16 and z?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-146)\/(-6)*(-21)\/154 and 4\/6*(-693)\/(-12).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50\/75*252\/(-42)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 13 = 5*k. List the prime factors of ((-36)\/(k - -4))\/(4\/(-50)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/12 + (-354)\/1480. Let h = -76\/185 + u. Which is the nearest to h? (a) 4 (b) 3\/2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44695308?\nAnswer: 2, 3, 7, 47, 11321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10643, 10574, 10485, 10376, 10247, 10098?\n\"Answer: -10*m**2 - 39*m + 10692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 8*a**2 - 8*a. Let x = 15 + -32. Let g(j) = -j**2 + 115*j + 1812. Let o be g(129). Let u(z) = 23*z**2 - 23*z. Calculate o*u(y) + x*h(y).\nAnswer: 2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 3*v + 17, 3*j - 3*v - 14 = -2. Let l be (-1782)\/(-429) + (-1 - (-2 + j)). What is f in l + 50\/13*f**2 + 20\/13*f = 0?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.4 (b) -4 (c) 0.5 (d) -0.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 254857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 12 + 3. Let m = 10\/11 + -51\/44. Let f = 5.02 + -0.02. What is the second smallest value in t, f, m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 + 33 - (41 - (-7 - -11)) - -6.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 154 = 184 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 6. Let f = r + 1. Solve 0 = -2*q - g + 1, f*q - g - g + 2 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -305*l**2 - 722 + 190 - 995 - 697 - 6132*l + 261*l**2 = 0. Calculate l.\nAnswer: -139, -4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -5)*56\/35. Let f be t\/(-20) - 6\/10. Is 4 + -6 + f + 25 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 53.12612326 to two decimal places.\nAnswer: 53.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 1997*b + 0 + 565*b + 0 - 284*b in the form l*b + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1 + (-3*sqrt(2736))**2)*4.\nAnswer: 98512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 164*v**2 + 8*v + 74. Let x be a(-11). Suppose 8*p = -2*p + x. What are the prime factors of p?\nAnswer: 3, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -14.56, 8, -13?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 (base 14) in base 11?\nAnswer: a4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -18, -12, -8, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38400 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2. Let a be (55\/(-33))\/(2 - (-17)\/(-6)). Let r(d) be the third derivative of 0*d + 0 - 3\/8*d**4 + 0*d**3 - 12*d**a. Give r(g(h)).\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 3. Let p be (-1 + -2)*c*-4. Suppose -2*s = -3*s + p. Solve 2*t = 6*t - s for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-334\nAnswer: -1670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 26627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -10 + 2 + -16 + 21?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 119\/3 or 40?\nAnswer: 119\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -536*x + 4590 = -446*x for x.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1421 times -5?\nAnswer: -0.7105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 73.\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -21 + 47 - 19 - ((-1 - 0) + 53 + 27)\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44514 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - -36. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -162 - -266. Let i = -44 + g. Is i a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13725?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 6*u**3 - 3*u**2 + 2*u + 2. Let y(z) = -11*z**3 + 5*z**2 - 3*z - 4. Determine -5*h(g) - 3*y(g).\nAnswer: 3*g**3 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 7 + 24*b.\nAnswer: 24*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v - 256 + 511 - 253.\nAnswer: -10*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 12*q**2 + 2*q + 19. Let m be k(11). Let c be m\/32 + -1 + 2 + 3. Is c bigger than 77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -302 (b) 7293 (c) 4 (d) 1 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxxk when four letters picked without replacement from {k: 2, x: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-88)*-3)\/((-6)\/8).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10386 is divided by 176?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4714\/7 < -635?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5050 (base 6) to base 4.\nAnswer: -101112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -9)*(12 + 299\/156*-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 513184896 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -19*d**4\/8 - 229*d**3\/6 + d**2 + 162. Differentiate h(b) with respect to b.\nAnswer: -57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 8*k**2 + 6*k. Let m(f) be the second derivative of -f**4\/4 - f**3\/3 + 3*f. Calculate 11*m(u) + 4*n(u).\nAnswer: -u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-19)*g)\/(g*(g\/(g*g**6))\/g))\/((g\/(g*g**3)*g)\/(g*g\/(g*g**(3\/10)))) assuming g is positive.\nAnswer: g**(-93\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -1. Suppose q = 2*g + 3. Put g, -2, -5 in ascending order.\nAnswer: -5, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f - 241335*f**3 + 0*f - 114773*f**3.\nAnswer: -356108*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 84*s**5\/5 + s**4\/2 + 14*s + 326. Differentiate t(a) with respect to a.\nAnswer: 336*a**3 + 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003884 to 6 decimal places.\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 244.7 and 3482.7714?\nAnswer: 3238.0714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120102.\nAnswer: 2, 3, 37, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -7 + -6 + 8 + -7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 v when two letters picked without replacement from pcxpxvxrpxvpvz.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2772 and 654093.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1374\/85 + -285\/17. What is the third smallest value in z, 1, 9\/5?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 552 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -477 - -2.\nAnswer: -475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1261 + -1232. Let s(b) = -b**2 - 3*b + 2. Let t be s(-4). What is the units digit of i + t\/(-1) + -2 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 5*a**2 + a - 6. Suppose 3*p = h + 2 + 18, 5*p - 4*h = 45. Determine y(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121121021201 (base 3) in base 12?\nAnswer: -139154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-3\/4)*g**(-1)*((g**(-1)*g)\/g)**(-18\/7) assuming g is positive.\nAnswer: g**(51\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*y**6 - y**2 - 4*y**6 - 4*y**6 + y**6 wrt y.\nAnswer: -840*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3636556 divided by 44?\nAnswer: 82649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3668894, -3, 1, -117 in decreasing order.\nAnswer: 1, -3, -117, -3668894","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 511*x - 170*x - 170*x - 172*x. Let c(y) = y + 183. Determine s(c(o)).\nAnswer: -o - 183","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 48*b. Let w(m) be the second derivative of -m**4\/6 - 155*m. Calculate w(i(v)).\nAnswer: -2*v**4 - 192*v**3 - 4608*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.943 + 2.943. Which is the closest to -2\/9? (a) -16 (b) r (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*f - 1211 - 5*f**2 + 1211)*(-3 + 4 - 2) in the form t*f**2 + r*f + n and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 2)\/(-12 + 988\/82)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -154 - -64 - -122 - 64\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -e (base 16) in base 9?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*z**2 + z**3 + 3*z**3 - 2*z**3 + 11*z - 7*z**2 + 5*z = 0. Calculate z.\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -d**3\/6 - d**2 - 770*d. Let f(i) = 3*i + 7. Determine -21*b(w) - 6*f(w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2 = -2*j, 0 = 3*o - 4*o - j - 2. Let r be 0\/((o - 0)\/1). Suppose -2*f + 8 = -r. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 734, 748, 780, 836, 922, 1044?\nAnswer: 1208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 12 + 12 = 0. Suppose 4*i + r - 5 = -14, -2*r + 6 = h. Let l(w) = 5*w - 4. Let x(k) = k - 1. What is i*x(m) + l(m)?\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 273, 4, 3\/4, -124, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.6 + -22.4. Let q = -22.9 - g. Let f = 551\/9 - 61. What is the closest to f in -5, q, 3\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.4 + -3.3. What is the closest to x in -1, -3\/5, 2.9?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)*4*-6*-3)\/(-6*(sqrt(432) - -1*sqrt(432)) + sqrt(432)).\nAnswer: -12*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2001 and 5336?\nAnswer: 16008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) + sqrt(1300)*-2*-2 + (sqrt(1300) - -2*sqrt(1300)*2) + 4 + (3*sqrt(208) - sqrt(208))*1)**2.\nAnswer: 864*sqrt(13) + 151648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*h - 1 + 3 = 0, 0 = -5*h + 5. Let b(j) = 6*j - 40. Let o(i) = i - 8. Let v(n) = k*b(n) + 11*o(n). What is v(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -20, -130, -238, -344?\n\"Answer: q**2 - 113*q + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**3 + n**3 + 7*n**3 - 2*n as k*n + m + b*n**2 + f*n**3 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - ((-90)\/(-9) + -10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 520658 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is y in y**5\/3 - y**4 - 19*y**3\/3 + y**2 + 6*y = 0?\nAnswer: -3, -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (2779\/14)\/(3\/6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335105 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -2) + 3 + -6 + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 523875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55020 - -55020.5. Let l = -0.2 - -0.2. What is the closest to l in d, 4, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1232680.8 months?\nAnswer: 10272.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2241035.75 - -0.002.\nAnswer: 2241035.752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150 and 435.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 20513*a**2 - a + 1. Let m be u(1). Suppose 0 = 2*l + m + 39569. Let s = 15041 + l. What is s rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + 6474\/720)\/((-172)\/(-215)).\nAnswer: -1\/96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 1493*m**2 - 4*m + 1. Let g be p(1). Calculate the highest common factor of g and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, o: 7, s: 8}. Give prob of sequence ooh.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -97.627051 rounded to two dps?\nAnswer: -97.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -318829252 divided by -2114?\nAnswer: 150818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -157472208\nAnswer: -1\/157472208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 5:43 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -461 + 471. Suppose q*h = 11716 + 5694. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32431 and 1582.\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -73 + 126. Let i = -50 + g. Suppose t = -i*t - 92400000. What is t rounded to the nearest one million?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18852389?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2 = -4*a, 0*a - 4*a = v - 10. Suppose -5*c - 8 + 163 = 0. Suppose -9 = a*r - c. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**2 + 4*r**2 + 2*r**2 + 10 + 7*r**2.\nAnswer: 14*r**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -50, -96, -142, -188?\n\"Answer: -46*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -17. Let n(c) = -5*c**3 - 9*c**2 - 5*c. Let d(y) = y + y**2 - 4*y**2 + 0*y + y**3 + 5*y**2. What is h*d(u) - 2*n(u)?\nAnswer: u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r**5 + 396845*r**4 + 39378829248*r**3 + 1456527413012*r**2 + 5353576400032*r + 5196067432512 = 0. What is r?\nAnswer: -198404, -33, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/135)*l*l)\/(((l**18*l)\/l)\/l) assuming l is positive.\nAnswer: l**(-2027\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -5*i**3 + 5*i**2 + 4*i. Let k(l) = -l**2 + 2*l + 5. Let j be k(4). Let s be c(j). Calculate the highest common factor of s and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 392 + -387. Let u = 210 - 210.02. What is the second biggest value in -6, f, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2117478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**3 + b**2 + 5*b - 2. Let q(t) = 6*t**3 + 2*t**2 + 15*t - 7. What is 7*g(h) - 2*q(h)?\nAnswer: 2*h**3 + 3*h**2 + 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14176*m**3 - 14176*m**3 + 16*m**5 + 15*m + (-5*m - 5*m**2 + 5*m)*(m - m - m**3).\nAnswer: 21*m**5 + 15*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 111\/(-111)*4\/14\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(550)*4 - (2*sqrt(550) + sqrt(550))*-2)\/((sqrt(224)\/sqrt(7) - sqrt(2)) + (sqrt(160) - sqrt(10))\/sqrt(5)).\nAnswer: -5*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -6*b**2 - 3*b - 7. Let c(d) = -7*d**2 - 3*d - 8. Suppose 3*k - 21 = 3*n + 9, -4*k - 5 = 5*n. Determine k*c(h) - 6*x(h).\nAnswer: h**2 + 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 567 - -3?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 12) to base 15.\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 39938457 divided by -13312819\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3492088 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 5*w - 4. Suppose 72 = w*m - 130. What is the remainder when m is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2803*u**5 + 1190*u**2.\nAnswer: -168180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 35*f - 5. Let n be o(2). What is the highest common factor of 13 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -270 by 3.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 698798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 115\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 8:24 PM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28\/185 - -129\/370. Which is smaller: 34 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17835?\nAnswer: 3, 5, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1167 in -2\/11, -5, 2, 2\/3, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 6*t - 11. Let z be u(3). Let x(o) = -5*o. Let h be x(0). Suppose -2*w = 3*f - 3 - 0, 3*w = h. Sort f, z, 3 in descending order.\nAnswer: 3, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -535*r - 124*r - 9223 = 3298 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**4\/3 + 7288*b**3\/3 - 235342*b**2\/3 - 95444*b + 485232 = 0. What is b?\nAnswer: -3676, -3, 2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 12 = 3*f + 2*s, 4*s = f - 2. Let w = -2.1 + 0.1. Which is the third smallest value? (a) w (b) 0.5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 3\/4, -1\/5, 103\/9, 2.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 11*t**2 - 8*t - 2. Let x be f(5). Suppose -2*p - 43 = -x. Suppose r = 5*q - p, -6*q + 3*q - 5*r = -57. What is the remainder when 50 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -36*u + 3*u**3 + 35*u + 5*u**3 + (9*u**2 - 25*u**2 + 11*u**2)*(4*u + 5*u - 4*u).\nAnswer: -17*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 3*f - 11, -3 = -4*y + 4*f + 1. Suppose -y*u - 6 = -5*u. Suppose c + u = 3*c. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56 + -36. Suppose 0 = f + 3*f + g. Suppose 5*z - 10*z = -3*z. Sort f, z, 4 in descending order.\nAnswer: 4, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8663622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -272721 (base 9) to base 3\nAnswer: -22102210201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (8 - 6)*3\/((-18)\/(-39))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3210, 26461, 90176, 214779, 420694, 728345, 1158156, 1730551?\nAnswer: 2465954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -61877 rounded to the nearest 1000?\nAnswer: -62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -r - 105. Suppose -2*j + 2*b - 6*b = -70, 0 = j - 5*b - r. Solve -5*d - j = 4*g + 2, d + 5 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.936, -474, -1\/3, -7.5 in increasing order.\nAnswer: -474, -7.5, -1\/3, 3.936","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*r + 85*r - 191664 = -83*r. Solve -9*k + r = 801 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 32307522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*g**2 + 58640*g - 75348 = 0. Calculate g.\nAnswer: 9\/7, 2093","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 4*h - 27 - 33, -2*h + 90 = 3*m + 4*h for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + 13697.\nAnswer: 13701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 211941 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**29\/q*q**(-34))\/(q\/q**8*q**(-36)))**(-2\/25) assuming q is positive.\nAnswer: q**(-74\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5 = 0, 14*c - 11*c = -3*z + 9. Solve 5*h = 3*o - 9, -z*h - 2*o + o = 8 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -71 - -72. Solve 5*f = 4*p + 31, -5 = 2*f + 3*p + l for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*q + 77*q + 5*r - 25 = 0, 19*r + 24 = 5*q + 23*r for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 992 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001993996 rounded to 6 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -380 + 3114*i - 1113*i + 380 + 3187*i as f*i + v and give f.\nAnswer: 5188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -113\/4 + 28. Let i = -190 - -197. Suppose -i*w = 3*w. Which is the biggest value? (a) 5\/4 (b) k (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101a407 (base 11) in base 15?\nAnswer: 258503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/(-15))\/(1 - (-59)\/(-60)). Let s = 43 + h. Let p be (36\/s)\/(12\/4000). Round p to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 241 = -185. Suppose -o = -v + 7. Is v a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16 - -1a?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 x when four letters picked without replacement from {x: 12, m: 6}.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46889 is divided by 147.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*16\/60 - (-437)\/570?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 736*x**2 + 713*x**2 - 1450*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158316 is divided by 1820?\nAnswer: 1796","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8*(2\/(-10) - 25\/500). Let n(v) = -v**3 + v**2 + v + 2. Let y be n(c). Sort 4, -7, y, 3.\nAnswer: -7, y, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = l + 4*l - 21, -3*w + 17 = 5*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9325648 hours in seconds?\nAnswer: 3357.23328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*s + 34*s + 2*s.\nAnswer: 96*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - -4) + 1 + (-16 - -10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 49, 15, 5, -3 in ascending order.\nAnswer: -3, 0, 5, 15, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 214389 and 10236429.\nAnswer: 2583","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 38*i**3 - 13*i**2 + 21*i + 3. Let o(b) = 12*b**3 - 4*b**2 + 6*b + 1. What is -2*f(q) + 7*o(q)?\nAnswer: 8*q**3 - 2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/120*153\/17\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000286 rounded to 5 dps?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 42\/5 in -1, 5, -3\/38?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.296 - -0.29594064. What is m rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o + 8. Let a be b(-5). Suppose 6*d - 9 = a*d. Solve -g - 16 = g + 5*f, -2*g + d*f = -16 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 4*g**3\/3 - 52*g**2\/3 - 964*g\/3 + 1012\/3 = 0.\nAnswer: -11, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*q**2 + 15*q**2 + 3*q**3 + (0 - q**2 + 0)*(0*q + 3*q - 4*q) - 277*q**3 + 2*q + 257*q**3 - 4*q.\nAnswer: -16*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/(-6))\/(2\/(-9)). Let q = 3 - d. Let f be (26\/(q + 2))\/(-2). What is the greatest common factor of f and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16857484 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178199 is divided by 660.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 5*t - f, 5*t - 4*f - 45 = -2*f. Let u be 1\/t - 1\/1. Let h = -3 + 2. Is h >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of 128*n + 16\/3*n**3 + n**4 - 56*n**2 - 152. Solve p(d) = 0.\nAnswer: -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ysxysysysyy. What is prob of picking 1 x and 1 s?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 455 a factor of 3025617140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 122531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 886756 in -0.5, 3\/4, -2\/3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 7603*g**3 + 44*g**2 - 10. Let p(h) = -1901*h**3 - 10*h**2 + 2. Determine 9*p(w) + 2*t(w).\nAnswer: -1903*w**3 - 2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3534\/61 + (-35396)\/(-539789)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**5 + 27*b**4 - 24*b**3.\nAnswer: -3*b**3*(b - 8)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (34950\/(-9))\/(-5 + 602\/120). Round b to the nearest ten thousand.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -176 - -1582\/9. What is the fourth smallest value in -4, 4, d, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, 1\/5, 2.3, -1312\/13, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 2)\/(3\/(-1)). Solve j = -2*c + 4 + 2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4284 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i. Let v(b) = 266*b. Calculate v(u(z)).\nAnswer: -798*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 333252757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71 + -55. Suppose -2*r - 3*t - 12 = -8*t, -5*t + n = -r. Suppose -91 = r*z - 295. Is z a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*c + 6. Let r be (0 - (0 - -1))*-4. Suppose -852 = -c*d + w, 672 = d + 3*d + r*w. Calculate the remainder when d is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of w**2\/2 + 3*w + 36. Let y(n) = -2*n**3 - 3*n**2 + 3. Give 6*g(a) - y(a).\nAnswer: 2*a**3 + 3*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.76 + -5.27. Let g = b - 1.23. What is g rounded to two dps?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -475522689.56 - 0.64?\nAnswer: -475522690.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*i - 223*i + 327 = -5*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4771.\nAnswer: 13, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 5*j - 14. Let d = 3 + -1. What are the prime factors of 60\/j + d\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2\/7 + 30*w\/7 + 48\/7.\nAnswer: 3*(w + 2)*(w + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 65*r - 94. Suppose 3*o - m - 14 = -6*m, -o + m = -18. What is the units digit of k(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*c = -4 + 14, 0 = -3*u - 5*c + 34. Suppose 3*l - u - 28 = -5*f, 4 = f. Solve 0 = 10*x - l*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-3)\/(-6)*2)\/(14\/(-88)*2)?\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.25584 + 0.05584. Sort -0.05, 8, s, 3\/7 in increasing order.\nAnswer: s, -0.05, 3\/7, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2556 by -1278.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*y - 96, 5*i - 4*y - 276 - 166 = 0. Is 18 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -186, -244, -302, -360?\nAnswer: -418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -0*w - 6. Suppose 22 = w*s + 4*t, -4*t - 28 = -2*s + 2. Let c = 48 - 26. Calculate the remainder when c is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2473 + 2441 = -4*b. Calculate the greatest common factor of b and 1000.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 52*n**2 + 10*n + 50*n**2 - 7 - 101*n**2. Let l be i(-11). Suppose 5*d + 38 = 3*c + l*d, -2*d = 10. What is the remainder when 30 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(18)\/sqrt(6) - (sqrt(3) - (3 + sqrt(3)*-4)).\nAnswer: -4*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 410 is divided by 31?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -460 - -461. Which is the nearest to 0? (a) -2\/9 (b) -2 (c) 5\/12 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8476 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 10*g + 13. Let m be a(10). Suppose -4*u + 53 = m. Is 42*u + -6 + 5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 13078977 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, 0, -3, -69905, 4 in descending order.\nAnswer: 4, 3, 0, -3, -7, -69905","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-88)\/(-22) + 5)\/(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 13*m**2 - 16*m - 64. Determine w(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3691*a**3 + a**2 - 2*a. Let l be w(1). Suppose 2797 + l = 13*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 7*u - 45 = -6*b + 10*u, 0 = -4*u + 8*u for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-156)\/(-9)*(-3)\/1. Let p = d - -110. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 2*i + 16 = 0. Let y = 11 - 5. Suppose 0 = f - 3*f + y. Put i, f, 5 in descending order.\nAnswer: 5, i, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**2 + 4. Let b(k) = -7*k**2 + 15. Let m(r) = r - 2. Let w be m(24). What is w*u(g) - 6*b(g)?\nAnswer: -2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (1768\/170)\/(((-230)\/25)\/23)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**2. Let s(m) = 235532*m**2 - 361. Give s(j(p)).\nAnswer: 942128*p**4 - 361","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 137\/3 + (-4)\/6. Suppose -3 = -3*h - i + 1, 5*i = -h + 20. Suppose -3*d + 13*w - 9*w = -151, h = 2*d - 4*w - 106. Is q < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 149368620?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*i + 1374 = 409, -4*t = 4*i - 1296. Is 23 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 + -0.1. Which is the third smallest value? (a) -13 (b) z (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22562665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -3*v**2\/8 + 203463*v\/4 - 406923\/8 = 0.\nAnswer: 1, 135641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22262*z - 24 + 24.\nAnswer: 22262*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34722492 by 1171.\nAnswer: -29652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 731 = -3*x - 868. Let y = x - -1452. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - k + 1215 = 0, 222*k + 24 = 226*k. Calculate the remainder when y is divided by 398.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (780\/(-110))\/13 - ((-67)\/22 - -1). Factor i*v**2 + 1\/4*v**3 + 9\/4*v + 0.\nAnswer: v*(v + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14911 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2*a + 6348 + 79718 = 0, 3*a = 15. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -5*z**2 - 9*z + 12. Let w(p) = 4*p**2 + 10*p - 11. Let h(b) = -5*c(b) - 6*w(b). What are the prime factors of h(17)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a + 1. What is r(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12399 is divided by 2893?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -62 less than or equal to -64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 5*s + 549 = 554, 7*z + 19 = 2*z + 2*s for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 13) to base 3\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4020520 and 3080?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 494. Let l(x) be the third derivative of x**4\/8 - 138*x**2. Give p(l(t)).\nAnswer: -9*t**2 - 494","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -4, -7, 5, -5, -8, -20, -6243?\nAnswer: -6243","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 992086493 and 1037.\nAnswer: 1037","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 2*s + 2. What is f(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 26*l**2 + 8*l + 541. Calculate the remainder when 234 is divided by o(27).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 377 = -4*l + 398, -15 = -4*l + 3*j for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 569*j - 2852. Give h(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 6*c - 310 = 8*c, 81 = d - 4*c. Suppose 0 = -z + d - 17. Let f = 61 - z. Let w(m) = 15*m + 1. What is w(f)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-9) + 0 - (-72)\/(-27). Put -15, q, -5 in ascending order.\nAnswer: -15, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is aa - b6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.11 and 2.595.\nAnswer: 0.28545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 764, -4 in descending order.\nAnswer: 764, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 11673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -28069710 divided by -21026?\nAnswer: 1335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 79, 115, 131, 121, 79?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/708416 and -29\/531312.\nAnswer: 2125248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 6*s**2 - 7*s + 3. Let n(p) = p**2 + 10*p - 283. Calculate the remainder when q(-6) is divided by n(13).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 770, 2, 0 in increasing order.\nAnswer: -3, 0, 2, 770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + 7 + -17 + 1)\/(2\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3818.8 and 0.4.\nAnswer: -1527.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 41 = -5*h, -3*j + 5*h - 8 - 5 = 0. Suppose 0 = 4*o - 8*o - j. What is the lowest common multiple of 9 and -4 + 7 - 1*o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 5*u + 7. Let n be k(-6). Let c be ((-2)\/n)\/(3\/6). What is the third smallest value in c, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 341020500 to the nearest integer?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -150 + 3?\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 2 (c) 3 (d) 3\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 18, g: 1}. Give prob of picking 1 x and 1 g.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*t + 30*t - 8 = 0. Let b(m) be the third derivative of 0 + 1\/2*m**3 - 1\/24*m**t + 2*m**2 + 0*m. Differentiate b(f) with respect to f.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 622695620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 4*q - 3. Let k be j(-5). Let a(z) be the second derivative of 0*z**4 - 1\/45*z**6 + 0*z**3 + 0 + 0*z**5 + 0*z**k - 2*z. What is n in a(n) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122 + 101?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 15238.7, 4, -0.4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-174)\/145)\/(2\/(-5)) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 19 = -3*s - 0*x, 3*s - 5*x - 11 = 0. Let b = 3 + s. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 831539*p**5 - 12*p**4*u - 280*p**2*u + 13157*p*u wrt p?\nAnswer: 49892340*p**2 - 288*p*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/25857 and 10\/2873.\nAnswer: 25857","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -1011012011002?\nAnswer: 1011012011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 147\/24 + 2 + 25\/(-8) + 1. What is the fourth biggest value in 2, -4\/11, c, 3\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 7*h**3 + 5*h**2 + 5*h + 30. Let u(l) = 4*l**3 + 3*l**2 + 3*l + 15. Give -5*u(j) + 3*x(j).\nAnswer: j**3 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1263*v + 1266*v - 21 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*c - 54*c + 111*c - 288 = 0. Let y = 58 - 0. Calculate the remainder when c is divided by y.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.25, -1\/23 in descending order.\nAnswer: 0.25, -1\/23, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 487049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-15\/2)*t*t*t**(26\/9)*(t*t**(-1\/4)*t)\/t**(-14\/5) assuming t is positive.\nAnswer: t**(349\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*s, 4*g - 5*s = -5 - 11. Suppose -12 = 2*i - 4*i - 4*o, 3*o - 2 = 2*i. Which is the second biggest value? (a) 3 (b) i (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1052.\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + t + 1. Let b be w(6). Suppose -3*k - 4*c = -c + 36, -4*c = 5*k + 60. Let m = k + b. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/17 at least as big as -3367850?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and 0.12.\nAnswer: 0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*o - 2*m + 2 = -100*o, 0 = o + 2*m - 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2591, 2618, 2645, 2672, 2699, 2726?\n\"Answer: 27*g + 2564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.517234 litres in millilitres?\nAnswer: 8517.234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -372, -155, 48, 237?\n\"Answer: -7*o**2 + 238*o - 603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*2\/(-3)*1. What is the second derivative of 0*a - a**d - 3*a + 5*a**2 - 2*a**2 wrt a?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 36, -10, -61, -6 in descending order.\nAnswer: 36, -6, -9, -10, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8867 + 8558. What is the biggest value in g, 4, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 3.64?\nAnswer: -10.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1038 divided by 3\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*g**3 - 3*g**2 + 7*g**3 + 18*g**2 + 21*g - 4*g**3 + 9.\nAnswer: 3*(g + 1)**2*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8353 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4848, 9692, 14536?\n\"Answer: 4844*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(-1)))\/y*y**(-8)*((y*y*y*y**(1\/3)*y*y*y)\/y)**(21\/5) assuming y is positive.\nAnswer: y**(72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z**2 + 5*z**2 - z**2 + 5*z**2. Let h(s) = 20*s**2. Let g(t) = 7*t**2. Let q(r) = 14*g(r) - 5*h(r). Give q(n(j)).\nAnswer: -72*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67148.\nAnswer: 2, 16787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16446, 16522, 16718, 17094, 17710, 18626, 19902, 21598?\nAnswer: 23774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 646 + (3 + 4 - 4). Suppose o = 3*n - 818. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 13\/23265319?\nAnswer: 13\/23265319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -40, -44, -50, -58?\n\"Answer: -m**2 - m - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 638 + -610. Suppose 4*w = 3*w + 196. What is the greatest common divisor of w and y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - t = -3, z + 10 - 21 = 3*t for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 17 = -f, -3*r = 4*f - 3*f - 18. Suppose -2*w - f*m - 12 + 57 = 0, 0 = 2*w - 3*m - 27. What is the remainder when 35 is divided by w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7098.6 less than 0.5?\nAnswer: -7098.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - v + 4*v + 257 = 0, 2*w + 4*v = 236. Is w a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -d**6\/40 + d**4\/8 - 196*d**2. Factor a(y).\nAnswer: -3*y*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1895, -2\/13, -10, -0.4 in increasing order.\nAnswer: -10, -0.4, -2\/13, 1895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4476*o + 472*o**2 - 4478*o + 934 - 474*o**2 + 111.\nAnswer: -2*o**2 - 2*o + 1045","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 86300.83 milliseconds in nanoseconds?\nAnswer: 86300830000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1170 is divided by 47.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1826 and 44?\nAnswer: 3652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -4*w**4\/19 + 1206*w**3\/19 + 6810*w**2\/19 - 17222*w\/19 + 9210\/19 = 0.\nAnswer: -15\/2, 1, 307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6*(-745196)\/(-30) + (-12)\/(-15). Suppose -45*a = -21*a - p. Round a to the nearest one hundred.\nAnswer: 6200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/104 and -31\/91?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 135 - 121. Let o(g) = 6*g**2 + g. Let r be o(1). Suppose -p + r = -f - u, 0 = f - 5. What are the prime factors of p?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4*y = 232, 2*y + 3 = -5. Calculate the greatest common divisor of 18 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 2:07 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40099, 40178, 40255, 40330, 40403, 40474?\nAnswer: 40543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, a: 3, w: 4}. What is prob of sequence awa?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (3 - 4)) + -468 + 457 + (-48 - -1)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c**2 + 4*c - 6. Let v(j) = -2*j + 30. Let h be v(17). Let a be d(h). What is the greatest common divisor of a and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -16*l**2 - 7*l - 4. Let b(c) = 6*c**2 + 2*c + 2. Determine 11*b(h) + 4*x(h).\nAnswer: 2*h**2 - 6*h + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkikkiekakkikni. What is prob of picking 1 i and 1 n?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/8 + -3)*(-4)\/(-9)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1128.7 + 1130.6. Which is the smallest value? (a) 0 (b) i (c) 350\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.1 and -0.984748?\nAnswer: -3.0527188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -2. Suppose 6 = -q*j - 2*n + 33, -3*j - n = -16. Solve -j*x = -5, 0*y - 3*y + 2*x = -4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/7)\/(0 - 2). Let o(v) = v**3 + 9*v**2 + 7*v - 10. Let i be o(-8). Let s be 0\/(6\/(-3)) + i\/4. Which is the closest to s? (a) -5 (b) 2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**2*x))**(-42)\/((x*x**(-2))\/x)**(-32) assuming x is positive.\nAnswer: x**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 - -20. Calculate the smallest common multiple of b and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 3 = -2*p. Suppose 5*d - p*d + 9 = 0. Let v be (1\/2 + -1)*-10. Which is the biggest value? (a) d (b) 0.1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 9*j**2 + 28*j - 31. Let z be k(4). Is 2\/2807 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 14*z - 34. Let c be b(-11). Calculate the remainder when 229 is divided by 4 - (0 + c - 24).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20202 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 93*o**2 + 8*o + 100. Let g(w) = 91*w**2 + 10*w + 100. Let t(f) = -4*g(f) + 5*m(f). Differentiate t(h) wrt h.\nAnswer: 202*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b - 18 = -4*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10004*l - 5*l**3 - 10004*l.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -61\/36 - -5\/4. What is the third smallest value in j, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*g - 1034487 = -181209. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 127*g + 24 + 2 - 124*g in the form s*g + c and give c.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/((-24)\/(-1278))*64\/(-6) is divided by 76?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-150)\/(-8) - 3\/3 and -73\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 617.6 + -547. Let j = -71 + s. Which is the smallest value? (a) j (b) -0.05 (c) 3\/5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 + -60. Let v = f - 1. Let p be v\/(-9) + 4\/(-2). Which is the closest to -1\/2? (a) 3 (b) p (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9\/8, -0.32, -2\/25?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/32*(-8140)\/(-2035)\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 6:43 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5181 and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -x**5\/60 - x**4\/8 + 6*x**2 + 9. Let y(k) be the second derivative of p(k). What is the second derivative of y(u) wrt u?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 = -26*g + 46 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -909*j**2 + j - 11608*j**3 + 21 - 35 + 14 - 6663*j**2 wrt j?\nAnswer: -69648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r. Let u be 86\/7 + (-4)\/14. Let a = -9 + u. Let j(c) = 3 - 5*c - a + 4*c. Determine j(w(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 25802229071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - -11 - (36 + -23)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 3286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6\/19 + -27\/95. Which is smaller: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, u: 7, s: 2, x: 3, n: 3}. What is prob of sequence nux?\nAnswer: 7\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 0*l**2 + 0*l**3 - 2 + 5\/4*l**4 - l. Let w be c(-1). Let g(k) = -k**3 - 6*k**2 + 2*k + 5. Determine g(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 440 and 836?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 3*h - 3. Let v be p(-6). Let i = v + -10. Find the second derivative of -2*y + 2*y - 3*y**5 - y + i*y wrt y.\nAnswer: -60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2926903.581 rounded to the nearest 10000?\nAnswer: -2930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - (37 - 110)) + -117\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ktktkkkttktkt. What is prob of picking 4 t?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 7:32 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 6. Suppose 14 = -3*p + q, -d*q - q - 8 = p. Suppose -2*f + f + 5*h = 3, 4*f + 12 = -2*h. Which is the closest to f? (a) p (b) 5 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-513)\/(-133) + -1)*1323\/(-42)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o + 3. Let t be y(-3). Let i = t + 11. Calculate the remainder when 117 + 15\/(-3)*(-10 - -11) is divided by i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 2*d + 5*d)*(-10 + 4*d + d + 8).\nAnswer: 20*d**2 - 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 913\/7 - 1805\/14. Determine x so that 21\/2*x**2 + 39\/2*x**3 + 9*x**4 - 3\/2 - f*x = 0.\nAnswer: -1, -1\/2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one halves of a century?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, e: 2, c: 1, h: 2, d: 1}. What is prob of picking 1 h and 1 d?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 1:24 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 2591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9 - (7 + 56\/32). What is the nearest to b in -5, -0.1, 55?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.069188 + 749.099188. Round m to the nearest ten.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vrilihry. Give prob of sequence hrvv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = 5*q - 115. Suppose 2*h - 2*m = 332, -688 = -q*h - 2*h - 2*m. Round h to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/11 - 140*h\/11 + 272\/11.\nAnswer: 2*(h - 68)*(h - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 625*s - 4156. What is b(9)?\nAnswer: 1469","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -4*p - 171, 3*z = 4*p - 81 - 28. Suppose -2*a - 2*a = 0. Put a, z, -4, 5 in descending order.\nAnswer: 5, a, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 1613*i - 4828. Let s be x(3). Solve -3*g - s = -2*m, 0*g = 5*m - 2*g - 11 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13562935 is divided by 6781463.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4365414, -4365412, -4365410, -4365408?\n\"Answer: 2*q - 4365416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 5 + 2)*(-2*o**2 + o**2 + 0*o**2) + (5*o - 3*o - 4*o)*(-283 + 283 - 24*o) to the form n*o + a + d*o**2 and give d.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 215*h**2*m**3*p + 11*h**2*m**3 + 14*h**2 + 2*h*m**2*p wrt p?\nAnswer: 215*h**2*m**3 + 2*h*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(17) - sqrt(17))*6 + -1*(sqrt(272))**2.\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((-2*sqrt(10) - sqrt(10) - sqrt(10)) + sqrt(10)))\/(sqrt(270)\/sqrt(6)).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 8:42 PM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001626688 rounded to 5 dps?\nAnswer: 0.00163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5448*g**3*h**3 - 15*g**3*t + 2*g**2*t - 7*g*h**3 - 207*h**3*t with respect to t.\nAnswer: -15*g**3 + 2*g**2 - 207*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c - 290 = -224 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f. Let k(n) be the first derivative of -n**3\/3 - 7*n**2 - 18*n - 4. Let q be k(-12). Let a(w) = q*w + w + 4*w - 5*w. Determine a(i(h)).\nAnswer: -18*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -301*d**2 + 21*d. Let g(h) = -30*h**2 + 2*h. Determine -21*g(b) + 2*v(b).\nAnswer: 28*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.37? (a) -1.6307 (b) -0.13 (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12981064819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 2 = 2*o. Suppose -1 = -p, p + 3 = o*d + 4. Solve 0 = -d*x + 3*x - 2*z - 11, -5*x = 2*z - 13 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -11, -9661 in decreasing order.\nAnswer: 2, -11, -9661","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 36 = 3*w - 80, 3*w = 2*t + 115. Let z = w + -25. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 48\/(-21) - -2 - 0. Suppose 0 = -13*v + 139 - 48. Let m be v\/(105\/9) - 1\/(-5). What is the third biggest value in h, m, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3224 is divided by 190?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 191*c**3 + 11*c**2 + 211*c**3 - 11*c**2 - 410*c**3.\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**3 - 22*v**2 + 63*v - 27. List the prime factors of f(21).\nAnswer: 2, 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*q - 9*q + 22*q + 28*q - 7*q - 13 in the form g + o*q and give o.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77 divided by 2.\nAnswer: 77\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -13. Let v be ((-45)\/12)\/(6\/(-64)). Let s be (3\/(-2))\/((-30)\/v). Solve g = 3*g + 6, s*g + b = -i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -104 + 140. Calculate the lowest common multiple of 63 and q.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2253*h + 2253*h + 4 + 30*h**2 - 24 + 10 + 10.\nAnswer: 30*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 15*h**2 - 17*h - 14. Let f be m(-16). Suppose -5*s + 39 = -4*k, -3*k = f + 1. Suppose -s*y - 556 = -11*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -5. Let x be ((-2)\/2)\/(o\/(-88)). Let f = 455924 - 455880. Is f greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -i**5\/10 + 7*i**4\/12 + i**3 - 3*i**2\/2 - 2*i - 609. Give b(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 599.09, 1\/8?\nAnswer: 599.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 3*o**2 + 4*o + 3. Let b be u(4). Let i(r) = 9 - 27 - 2*r + 18. Let q(j) = j. Let m(n) = b*i(n) + 8*q(n). Let h(v) = 3*v. Give h(m(d)).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-26)\/3*-6*7\/28. Suppose i + 4 = p. Find the third derivative of -13*m**5 + 3*m**2 + 2*m**5 - i*m**2 - 5*m**5 wrt m.\nAnswer: -960*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12545*j + 2359 = -12882*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -336*b + 346*b - 20990. Let r = -948 + b. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -138 + 159. Suppose 34*a = g*a + 364. What is the smallest common multiple of 20 and a?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4*a. Calculate the remainder when (26\/6 - 5)*-33 is divided by n(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83, -140, -199, -260, -323, -388?\nAnswer: -455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 5*q - 0*u - 125, -4*q + 100 = -5*u. Let k = q + -22. Solve -k*l = -w - 2*w - 3, 4*w + 11 = -3*l for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1074.\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -4*r**5\/7 - 27*r**4\/7 - 17*r**3\/7 + 6*r**2\/7 = 0.\nAnswer: -6, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 602 and -1?\nAnswer: -602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*b + 13 = 5*i, -b + 4 = 2*i. Factor 55*a**2 - 5*a**4 - 60*a + 53*a**i - 180 - 43*a**3 + 0*a.\nAnswer: -5*(a - 3)**2*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s - 16. Let x be t(-18). Suppose -3*l - 12 = 0, 3*l + 89 = 5*y + x*l. Suppose -y = 6*f - 17. Solve -4*j + f*j = -12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from syguuussussssgsyaagu.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 87 and -0.5.\nAnswer: -43.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b73 (base 13) in base 2?\nAnswer: -1000000110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2171119 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: Calculate 1\/((-15)\/(-90)) + -23*(-14)\/(-63).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 367 a factor of 323433595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 312.209 + -312. Let s = -0.091 - g. Which is the third smallest value? (a) s (b) 0.2 (c) -1 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3*z + 10, -1 = 3*t + 11. Let u(a) = -2*a - 5. Let w(r) = r + 3. Determine z*u(f) - 10*w(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ad1366 - -4?\nAnswer: -ad1362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000010537 rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + m = 6. Does 22 divide (72\/42)\/(m\/(-77))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i\/(i\/i**(-2\/17)*i))\/i**(-6\/13) assuming i is positive.\nAnswer: i**(297\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 57408771 and 5918430.\nAnswer: 574087710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 257540713 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from imiiimi. What is prob of picking 1 m and 1 i?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 3:47 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -k**6\/105 - 3*k**5\/70 + k**4\/42 + k**3\/7 + 22*k - 32. Let y(t) be the first derivative of v(t). Let y(i) = 0. What is i?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 1)*((-11)\/5 - -2).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 222*f**4 + 563*f**3\/2 + 121*f**2\/2 + f = 0.\nAnswer: -1, -1\/4, -2\/111, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4113 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.002 + 1121.002. Let c = 1121.004785 - n. Round c to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.076 in 0.1, 1\/78, 0.5, -3\/7, -13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Solve 1797*a + 202*a + 136*a + 406686 = -3759*a for a.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 525 and 249.\nAnswer: 43575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(363) - (sqrt(363) + 5*sqrt(363)*1)) + sqrt(363))\/sqrt(11))\/(-2*-2*sqrt(12)).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20241\/88 or -2?\nAnswer: 20241\/88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2\/23))\/(c\/c**(-3\/2)))**(14\/3) assuming c is positive.\nAnswer: c**(-511\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*g, 0 = 3*o + 5*g + 25 - 8. Let z(c) be the third derivative of c**5\/12 + c**2. What is the units digit of z(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*t - 5*t**3 - 2*t**3 - 9*t + 21*t**3 wrt t.\nAnswer: 84*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/6 of a hour in seconds?\nAnswer: 13800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than 0.2505372?\nAnswer: 2.2505372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (10 - 22) - -4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 2*m - 4)*(-m + 3 - 3) + (-2*m + 0*m + m)*(-168*m - 55*m + 117*m) to n*m**2 + s*m + k and give n.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 165817716 to the nearest integer?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11651792?\nAnswer: 2, 59, 12343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 8) in base 4?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2101 or 9327?\nAnswer: 9327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1339014 by -223169.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 6*v - v, 2*v - 33 = -5*c. Suppose v*p - 2139 = 1009. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 4:44 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3*r - r - 888, 5*r = -5*f - 1110. Let w = -208 - r. Calculate the remainder when 191 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -26384, -52646, -78910, -105176, -131444, -157714, -183986?\n\"Answer: -x**2 - 26259*x - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -12.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*x + 57*x - 20. List the prime factors of (-35 - -46)*x*103.\nAnswer: 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-15)*d*d**(-4\/5)*d\/(d*(d\/d**(-2\/17))\/d)*d**(-1))**(-1\/7) assuming d is positive.\nAnswer: d**(1353\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 16) + (-34 - ((13 - 20) + 6)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g + 28. Let i be b(18). Suppose -i*s = -3*s + 168. Let u = -19 - s. What is the closest to -2\/5 in 0.5, -4, u?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47258173409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4708434906 a multiple of 7398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s + 4. Let p be n(-6). Sort 2, 4, p in increasing order.\nAnswer: p, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2745726.\nAnswer: 2, 3, 457621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -162*x**3 + 8781*x**2 - 96552*x + 19305 = 0. What is x?\nAnswer: 11\/54, 15, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 152.76 - 89.16. Let q = 134 + -47. Let n = q - v. Round n to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-8)*161\/(-5635).\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 276864 divided by -24?\nAnswer: -11536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 110*k**2 - 394325*k + 353633210. Let z(a) = -5*a**2 + 17924*a - 16074237. Let j(g) = 2*t(g) + 45*z(g). Find u such that j(u) = 0.\nAnswer: 1793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.06 + 0.06. Let z = 0.1 - 0.5. Let q(a) = -a + 1. Let f be q(1). What is the closest to f in 0.2, h, z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1803)\/24040*5\/1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*k - 3. Suppose -10 + 2 = -k*s. Solve 0 = -7*o + s*o + 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126 and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23646*y + 5*q - 41 = -23650*y, 3*q + 1 = 4*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 3:06 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 11:59 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -3 (b) 5 (c) 8\/155 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 3*w - 6 = 0. Solve 0 = w*h - 3*y - 5 + 2, -5*h + 1 = -y for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53 - -59. Let c = 0.6 + -4.6. Let k = x + c. Which is bigger: k or 0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2\/5, -0.06, -10, -1\/4 in increasing order.\nAnswer: -10, -1, -1\/4, -0.06, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 3*b**5\/2 - 64791*b**4\/2 + 4005321*b**3\/2 + 4070115*b**2\/2 = 0?\nAnswer: -1, 0, 63, 21535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*w**2 + 36*w**2 + 83*w**2 + 95*w**2.\nAnswer: 181*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.11*10052\nAnswer: -1105.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -t**4\/24 + t**3\/2 + t**2. Suppose 3*x + x = 8. Let w = x + 2. Determine o(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 6*a + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**1)*w*w*w\/w**(-11))\/(w\/((w*w*w*w*(w\/(w*w**6*w))\/w)\/w)*w)**(-8\/5) assuming w is positive.\nAnswer: w**(131\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -5. Suppose u = 4*s - 6. Let t(j) = 0*j**2 + 0*j + 4*j - j**s + j. What is t(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 968 = 10*q + 128. Suppose 0 = -112*z + 114*z - 24. Calculate the greatest common divisor of z and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, u: 1, r: 4, q: 1}. Give prob of picking 2 r.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -667 - -10701?\nAnswer: 10012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -7*v**3 - 14*v**2 + 11*v + 49. Let x be m(22). Let z = 2979 - x. Round z to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n**2 - 23*n - 1703. What is k(0)?\nAnswer: -1703","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Factor 5 - 204*q**3 - 5 + 101*q**3 - 60*q**2 + 108*q**3.\nAnswer: 5*q**2*(q - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1050 by 21.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/56)\/((-24)\/420*-5).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-135)\/(-60)*((-2772)\/(-1782))\/((-7)\/(-174))?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5*v**2 + 7*v. Let r(s) = s**2 - 2*s. Let i(o) = 6*o**2 - 32*o. Let k(w) = -i(w) + 12*r(w). What is -5*j(g) + 4*k(g)?\nAnswer: -g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 - 12*d**2 + 6*d**2.\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*c**3 - 120 + 120.\nAnswer: -22*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -530580, -530581, -530582?\nAnswer: -530583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 4:26 PM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 19*n**4\/4 + 5*n**3\/3 + 4. Find the third derivative of m(f) wrt f.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/10*5\/2. Let p = 345425 - 345423. Which is the closest to y? (a) 5 (b) -0.4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i**2 - 8*i**2 - 5*i**2 - 4*i**2 - 3*i - 3*i to the form y*i + z*i**2 + x and give z.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t**2 - 115 + 2*t**3 + 116 + 3*t - 2*t**2 - t**2 + 7*t**2. What is k(-2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 7*i = 26, -i - 131 = 166*d - 171*d for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 15841257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-6)\/((m\/m**(1\/4))\/m))\/(m**(-7)*m*m**(-7))*(m**(-2)\/(m\/(((m\/(m*m\/m**(-1)))\/m)\/m*m)))\/(((m**(-5\/4)\/m)\/m*m)\/m**(-7)) assuming m is positive.\nAnswer: m**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.1, -5\/9 in descending order.\nAnswer: 5, -0.1, -5\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*d - 67*d + 10528 = -79*d + 3148 for d.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of 4*v - 3 - v**2 + 75*v - 7. Is h(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/554 and 103\/30.\nAnswer: 8310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 139334 and 8372?\nAnswer: 1950676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**(5\/8)*c**(-1\/16)*(c\/c**(-4\/9))\/(c\/(c\/(c**37*c))) assuming c is positive.\nAnswer: c**(-5219\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-58)\/(-180) + 3127\/(-3339) + 10\/14.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 5:45 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-120)\/(-39))\/(14\/(-91))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 2\/(-3) + 0\/(-6 - 2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/1526 and 83\/25690.\nAnswer: 2800210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2838*u + 160 = 2854*u for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 632, 1, 14 in decreasing order.\nAnswer: 632, 14, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1750095.207 - 1959039018.793. Let o = k + 1960788882.0000439. Let d = o + 232. Round d to six decimal places.\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 9*h + 125. Let z(d) be the third derivative of -d**5\/60 - d**4\/4 + 2*d**3\/3 - 5*d**2. Calculate z(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.027453 and 0.05463.\nAnswer: -0.00149975739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 8*o + 3. Does 9 divide m(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -f - l, 14*f - 10*f + 2*l - 26 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (-66)\/(-5) - -5)\/(3\/(-20))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -28 - (-130 - -164)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 868637 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1162 + 1162.005562. What is q rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -l - 415*l**2 + 122 + 389*l**2 + 231 + 2*l - 5*l with respect to l.\nAnswer: -52*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33d (base 15) to base 10.\nAnswer: -733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6680523 times -0.14?\nAnswer: -0.093527322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121056.\nAnswer: 2, 3, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 36869 (base 10) in base 8?\nAnswer: 110005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -2*k - 3*l, 5*k - 5*l + 5550 = 5530 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -12.01 (b) -0.1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2716, 1110, -492, -2090, -3684, -5274, -6860?\nAnswer: -8442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**4 - 4 + 362*x**3 + x - 361*x**3 + 0 to the form t*x**4 + q*x**3 + o*x + s*x**2 + n and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*z = 2*z - 40, -z = 0. Suppose o*c = 14*c - 80. Solve -2*u = -5*m + c, -u - 8 = -4*m + 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + 4 + sqrt(432)*1)**2 - (-1 + sqrt(12) + -1).\nAnswer: 190*sqrt(3) + 1746","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-285)\/190 - 2*(-12)\/15 - 1072\/7520?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -8*w + 32 - 1\/6*w**3 - 3\/2*w**2 - 13\/60*w**5 + 1\/24*w**4. Let y(k) be the second derivative of p(k). Determine y(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 15*z**2 - 1063*z - 85. What is j(71)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 196452 + 86?\nAnswer: 196508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q - 45 = -268*d + 272*d, d = -3*q - 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000044772092 to seven decimal places.\nAnswer: -0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2. Let w(c) = 15*c**2 - c - 2. Let i be -4*((-138)\/(-24))\/23. What is i*w(q) + 3*a(q)?\nAnswer: -12*q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 3) to base 7.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3817 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5198.3798 rounded to the nearest 10?\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 4 - (-15)\/(-20)*(-16)\/(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -42*t**3 - 12*t + 5*t + 3 + 6*t + 9*t**3. Is j(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*i**4 - i**3*s**3 - 27*i*s - 3*s**3 + 50*s wrt i?\nAnswer: 8*i**3 - 3*i**2*s**3 - 27*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20449828 divided by 4.\nAnswer: -5112457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -57 - 2015 + 3*b - 1033 in the form s + l*b and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4, -27, -78, -149?\n\"Answer: -10*r**2 - r + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (25\/(-4))\/(15\/60). Let g = f - -27. Solve -g = -3*z + 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - -7. Suppose p - z = -2, -p = -2*p - 5*z + l. Suppose -4*d + 13 = -3*q, 3*q = 15*d - 20*d + 50. Solve -p*k + 1 = -d for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-4))\/((-84)\/(-7) - 9)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0385963053 to three dps.\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.8 - -5.58. What is the smallest value in 0.4, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(208) + sqrt(208)*-1)*-1*-1)**2 + 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v - 7. Let r be d(-6). Let c = -8 + r. Solve -c = -b + 1 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (52\/(-156))\/(10\/(-18) + 1) and 65\/54?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 26*q. Let z be d(1). Suppose -4*n - 3*l = -z, -4*n + 4*l + 16 = -24. Suppose -n*t = -4*t - 16. Sort 2, t, -1 in ascending order.\nAnswer: -1, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17.1727355 - 0.13.\nAnswer: 17.0427355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -43*p**3 + 3*p**2 + 3*p + 3. Let g(o) = 87*o**3 - 7*o**2 - 7*o - 6. Determine -3*g(q) - 7*n(q).\nAnswer: 40*q**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/((-24)\/(-3)) + (-192)\/8?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-o + 0 + 0)*(-2 + 0 + 0) + (-64 - 10 + 1746)*(o - 2*o + 2*o))*(-o + o - o) + 0*o - o**2 + 0*o in the form u*o**2 + z + d*o and give u.\nAnswer: -1675","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*h + 7537 - 1818 = 0. Let g = h + 520. List the prime factors of g.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 55?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 5*f**2 - 5*f + 7. Suppose -29*d - 130 = -3*d. Determine w(d).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 2:40 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**5\/30 + p**4\/4 - 4*p**3 - 50*p**2 + 17*p. Let d(j) = -j. Give -6*d(x) - l(x).\nAnswer: -2*x**2 + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 0 - (82 + -73)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + 20. Calculate the greatest common divisor of r and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428 is divided by 87.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 4*m + 5 = 0. Suppose 5*l - 5*k + 26 = -k, 0 = -l + 5*k - m. Let z(g) = -g**3 - 7*g**2 - 7*g - 4. Calculate z(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.4, 0.12, 0.325?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 50\/(-18) + (-2 - -5). Sort 4, -2\/7, b.\nAnswer: -2\/7, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1924)\/(-2704) - -1*(-4)\/16.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 3 = -t + 6, -m + 3 = 4*t for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k + 5. Let o(r) = -1. Let d(y) = m(y) + 2*o(y). Let q be d(5). What is the tens digit of q\/3*(-1 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 844314\/431772 + (-1)\/(-1). Let j = -8511133\/9813 - -2602\/3. Let d = a - j. Find the common denominator of d and 47\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 3*i**2 - 11*i. Let r be ((-10)\/(-14))\/(4\/(-28)). Let x be o(r). Solve -22 = 5*b + 2*h, -3*h = 2*h + x for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/30 and -52\/1298405.\nAnswer: 7790430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1, -35, -5, 2 in ascending order.\nAnswer: -35, -7, -5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 1:02 AM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 214552.\nAnswer: 643656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-15)*-15*18\/108\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 1555 - 475. Let j be n*-5*41\/(-3). Round j to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -8*l**2. Let a(s) = -116*s + 22. Determine k(a(n)).\nAnswer: -107648*n**2 + 40832*n - 3872","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1*11\/100*110\/(-12) and -127\/60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 2)*(-2 + 2 + f - 161*f - 224 + 224 + (6 - 2 - 2)*(-1 - 2*f + 1) + (4*f - 3*f - 3*f)*(-4 + 0 - 1)).\nAnswer: 154*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2026 is divided by 415.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.7 - -10.5. What is the third biggest value in p, 30, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4946558215 to the nearest integer?\nAnswer: 1704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 704 + -695. Suppose -157 = -f - j*i + 10*i, -f = -3*i - 157. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24046136 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01205454541 rounded to 6 decimal places?\nAnswer: 0.012055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1009755520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -y - 9, 3*g - 2*y + 15 = 0. Let f(n) = -3*n + 1. Let o(v) = -11*v + 8. Let a(s) = 4*f(s) - o(s). What is a(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of n**5\/5 - 37*n**4\/4 - 5*n**2\/2 - n - 24. What is the second derivative of d(m) wrt m?\nAnswer: 12*m**2 - 222*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(104)*-3 + sqrt(104)) + sqrt(104) + (sqrt(104) - (sqrt(104) + (-6*(-1*sqrt(104) - sqrt(104)) - sqrt(104)))) + sqrt(104))\/(5*5*sqrt(968)*-1).\nAnswer: 7*sqrt(13)\/275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4162 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.69 + -10.79. Let v = q - -10. Which is the smallest value? (a) v (b) -5 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3969839?\nAnswer: 29, 367, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c - c = -40 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13298 - -13343. What is the greatest common factor of r and 27225?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/(-5*(sqrt(6) - -3*sqrt(6))))**2.\nAnswer: 17\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 0. Let s = 1 - 0. Does 3 divide 3\/(s + 1\/j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, t: 2, d: 9}. What is prob of picking 1 t, 2 d, and 1 j?\nAnswer: 144\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 26*f**2 - 138*f - 1. Determine t(9).\nAnswer: 863","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -196097, -392227, -588355, -784481, -980605, -1176727?\n\"Answer: r**2 - 196133*r + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 5*w - 4048, 2*w = -2*w + 5*p + 3231. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17 - 14) + (1 - (-3 + -2 - -5))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9304601 + 9304601.4339331. Let b = d + -4.4339351. Let r = -4 - b. What is r rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 420, 412, 400, 384?\n\"Answer: -2*x**2 - 2*x + 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 134043298?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219925 is divided by 109957?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -35111442 (base 6) to base 12\nAnswer: -442582","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/851687 - 695775146\/15084228457. Let r = i - -5\/89. Is r < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, -2, 0, 2 in ascending order.\nAnswer: -2, 0, 2, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.3 - 6.3. Suppose 3*n + n = -16. Let f be 4*(16\/56 + 5\/7). Which is the third biggest value? (a) g (b) f (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 0.02.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189*h - 7*h - 7826 = 0. Let b(i) be the third derivative of h*i**2 + 1\/120*i**6 - 1\/30*i**5 + 1\/24*i**4 + 0 + 1\/3*i**3 + 0*i. Calculate b(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/90 and -81\/4?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.19463 - -0.29463. Which is the third smallest value? (a) 7 (b) -3 (c) 2 (d) 31 (e) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -235986.\nAnswer: -1\/78662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -460, -920, -1380, -1840, -2300?\nAnswer: -2760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -642*o**3 - 500*o**2 + 3*o.\nAnswer: -3852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -21366812*t. Let m(d) = -3*d. Determine m(a(i)).\nAnswer: 64100436*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeee when four letters picked without replacement from eeeeeeeeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t + 4. Let j = -23 + 0. Let f = j - -30. Calculate the remainder when g(3) is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, k: 5}. Give prob of picking 2 h and 2 k.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 11. Suppose k*v + 3 = 5*v. Let b be 0*(v - (5 - 3)). Solve b = l + 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 1049765725.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.771708 grams in micrograms?\nAnswer: 771708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1238 divide 3119804568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*y + 8*y - 7*y)*(15*y**3 + 20*y**3 + 29*y**3).\nAnswer: 1472*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.7 - -0.1. Let n = g + 0.7. Let h = -6861\/2 - -3431. Which is the closest to h? (a) 5 (b) n (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*h = -6, -3*w - h = -2 - 7. Let q be -4 + (-76)\/(-20) - (-5)\/25. Let x be ((q\/6)\/1)\/(0 + w). Solve -3*u + 0*u = x for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2*a + 3*a - 191, 0 = -3*a + p + 569. Suppose 5*i + 2*w - 193 = 0, -i - 4*i - w = -a. Let u = i + -19. Does 5 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -3*(-3)\/((-45)\/(-440))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bfo when three letters picked without replacement from qqhhvohhqqbhf.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (5 - 2)) + 2106\/156?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11897 - 5949 - 5960 - 32*j in the form q + g*j and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2031558 and 438816528?\nAnswer: 438816528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 868 + -814 - (102 + -1)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7500 + 2281. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -c**3\/6 - c**2 - 13*c. What is l(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from omoookokoooaoooa. What is prob of picking 2 o and 2 a?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1017277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -48. Put -0.4, -2\/3, q in ascending order.\nAnswer: -2\/3, -0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -74 + 9*f + 34 - 74 - 10. Let g be n(15). Which is bigger: g or 0.08?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -630*k**5 + 301*k**2 - k - 142. What is the second derivative of s(c) wrt c?\nAnswer: -37800*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 647?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -11624*u**2 + 802062*u - 415. Determine o(69).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -30030 (base 4) to base 15\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a factor of 6324975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of v**7\/840 - v**5\/40 + v**4\/12 + v**3\/3 + v**2. Let u(y) be the first derivative of m(y). Determine p so that u(p) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -12, -36, -78, -144, -240, -372?\nAnswer: -546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1188 times -0.1547?\nAnswer: 0.01837836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71505 is divided by 4759.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1918.299ns to minutes.\nAnswer: 0.00000003197165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 8:00 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -183.1 - -213.308. Let q = i - 30. Let j = q + -0.2080332. Round j to 6 decimal places.\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000025122 to seven dps.\nAnswer: 0.0000251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14771792, -29543589, -44315370, -59087129, -73858860?\nAnswer: -88630557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.136 rounded to 0 dps?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fmfdfdaffdadff. What is prob of sequence df?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 83 + -92.4. Round x to zero decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/7346046 and -67\/172.\nAnswer: 631759956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4 + -1*(sqrt(320) + 1) + sqrt(320))**2 + (-4 + 3*(sqrt(320) + 0))**2.\nAnswer: -192*sqrt(5) + 2905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20600 is divided by 160.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19458 = 544*a + 5161 + 3552 - 11559 for a.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of 1\/147*a**7 + 11\/7*a**3 + 0 - 23\/21*a**4 - 3\/35*a**6 - 9\/7*a**2 + 3\/7*a**5 - 54*a. Factor m(y).\nAnswer: 2*(y - 3)**2*(y - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhhnfhh. Give prob of sequence fh.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -3. What is the second biggest value in 5\/4, 2, i, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2440 + 61?\nAnswer: 2531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.05 and -32677074081.037?\nAnswer: 32677074080.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 + 18 + 2 - 20.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 19525.098 months?\nAnswer: 162.70915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - t + 3*t)*(949*t**2 - 949*t**2 - 120*t**3).\nAnswer: -120*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 358389234 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -104852.3 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 5. Suppose 5*q - 145 = -t*q. Suppose -5*k = -q - 26. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 2*z + 6 + 0 - 6*z.\nAnswer: -4*z + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 15 - 5. Suppose 3*k - 19 = -t*c - 0*k, 2*k = 6. Let h(q) = -8*q + 4. Let d be h(-1). Solve -d - 13 = -c*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2254000 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-seven quarters of a millimeter?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gaggggggggggggagag. What is prob of sequence ag?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 60, 0.3, 2823 in decreasing order.\nAnswer: 2823, 60, 0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*c = 276*c + 1056 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8, 1\/5, -4, 12.286, -0.5, 2\/3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56443?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.9908418 months?\nAnswer: 0.008257015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + -2)\/(1\/(-3)). Let z(q) = 326338*q + 14. Let i be z(k). What is i rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -361735596.8099073 - -361735579. Let j = z + 17.81. Round j to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -5*b + 133, -5*b - 3*i = 25 - 161. Suppose 12 = -25*c + b*c. Let a = -18 + 20. Solve -c = j - a for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1014, -1108, -1378, -1914, -2806, -4144, -6018, -8518?\nAnswer: -11734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-6 - 4) + (26 - 6).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 132*h**5 - h**3 - 47*h**2 - 67*h - 111 wrt h.\nAnswer: 2640*h**3 - 6*h - 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-260)\/39 + 5719\/1995.\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 - 2)*(-3949)\/(-22). Let b(x) = -5*x**2 + 4*x - 4. Let j be b(-4). Let g = j + h. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*x**3 + 5569*x**2 + 16773*x - 585 = 0.\nAnswer: -3, 1\/29, 195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -24*d + 708. What are the prime factors of r(-25)?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1840*z + 10997?\nAnswer: 1840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 45*c + 22. What is the remainder when i(9) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -287.3\nAnswer: 1149.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-21)\/2*112\/(-42). Suppose 4*x - b + 8 = 0. Suppose -5*t + 2*d + 28 = 0, -t + 0*d = -5*d - 24. Solve 5*o = -n + t, 0 = -x*o + 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -160717.566 to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1261, 1375, 1489, 1603, 1717, 1831?\nAnswer: 1945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42034 (base 7) to base 11.\nAnswer: -7828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3971 and 5082462.\nAnswer: 96566778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r + 13*r - 4*f - 38 = 0, -4*r - 3*f - 51 = 0 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(70) + sqrt(70) + 1*sqrt(70)))\/(sqrt(490) - 3*sqrt(490)).\nAnswer: -9*sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 15 = 4*b. Let o be (-179)\/(-5) - (-4)\/20. Suppose -11 = -2*g + s + o, -5*s + b = 0. Solve -u - 4*w = -0*u + g, 0 = -2*w - 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*l**2 - 1 - 3*l + 3*l.\nAnswer: -110*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19974 and 732.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 70529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(125)*2*-3.\nAnswer: 120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -4235*r - 25532. Give a(-6).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23478, 46966, 70454, 93942?\nAnswer: 117430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99 = 2661*r - 2670*r for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 4*u + 120, -6*u = 3*g - 3*u - 162. Let r be 1*(5 + g\/(-10)). Let n be -1 - ((-2)\/3 + -1). What is the second smallest value in 2, -3\/7, r, n?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c + 2 - 5 - 4 + 1. Let h be f(-3). Suppose 4*y - 2*b - 2 - 8 = h, -3*y - 9 = 4*b. Solve z + 4 + y = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 39104098 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 194.53331?\nAnswer: -195.53331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 564435583 to the nearest integer?\nAnswer: 826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g - 18 - 11*g - 8*g + 21*g to y*g + c and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106989 is divided by 106967.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z. Let n(j) = -2*j**2 - 63. Determine m(n(o)).\nAnswer: 6*o**2 + 189","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*c + 82*c - 6 = -5*d - 72*c, -8 = -2*d - 2*c for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 457*q**6 - 2*q**2 + 28.\nAnswer: 54840*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2405 and 1924?\nAnswer: 9620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -21516 (base 7) to base 16\nAnswer: -151b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(21) + sqrt(126)\/(sqrt(12)\/sqrt(2) + sqrt(6)))\/sqrt(7) + (sqrt(6) - (1*sqrt(6) - sqrt(6)))\/sqrt(2) + sqrt(27)\/(sqrt(9)*-3).\nAnswer: 13*sqrt(3)\/6 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 630147825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -f + 6. What is the second biggest value in 1, -3, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -173 + 478. Calculate the remainder when c is divided by 42.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 4*m = -v - 36, -m - 4 = -2*v. Suppose -v*y + y + 6 = 0. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61180 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r - 8. Let z be h(-7). Let l = -6 - z. List the prime factors of (4 - 5)*1*l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 735 - 683. What is the highest common factor of y and 2444?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 4*o**5 + 5364*o**4 + 42732*o**3 + 101356*o**2 + 63984*o = 0.\nAnswer: -1333, -4, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(512)\/sqrt(4))**2*-5.\nAnswer: -640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 12*u - 21. Let o be g(14). Suppose b - 5*b + 3*t = -136, 0 = 5*b + 2*t - o. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 387 + -383. Suppose 64 = 4*x - 2*w, 0 = 4*x - 8*x - 4*w + 88. Suppose m*a = -5*a + x. Solve q + 6 - a = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*q = 0, 2*q + 17 = 4*s - 3. Let p = 1844 + -1844. Solve 3*k - k + s = p for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in -0.4, -3\/2, -0.3, 29?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-15)*n**(-3\/10))\/(n*n**(-36)*n*n*n*n**22))**(-8\/13) assuming n is positive.\nAnswer: n**(-1028\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1268136 and 54?\nAnswer: 1268136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -391*r**3\/2 + 1043*r**2\/2 - 2*r - 16. Differentiate p(o) with respect to o.\nAnswer: -1173","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 27. Let c = -2 - n. Solve -c*l = q - 13, q + q - 20 = -5*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129 = 54340*h - 54562*h + 10785 for h.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 5*o**2 + 2*o - 2. Let h be u(5). Solve -4*g - h = -0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 257401592?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 + 1)*(-o - 4*o + 3*o) + 0*o - o + 0*o - o + o - 2*o + (-3 - 4 + 5)*(o - 4*o + 4*o) + 4*o + 0*o - 2*o)*(-50*o + 6*o + 2*o - 2*o**2 - 2).\nAnswer: 10*o**3 + 210*o**2 + 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1543?\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -80\/9, -17, 1\/6?\nAnswer: -80\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24364 - -27380. Calculate the lowest common multiple of 40 and c.\nAnswer: 15080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 203 by -1.\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n = -0*n + 10*n + 44 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5030166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6057 (base 8) to base 4\nAnswer: -300233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -97314 + 225833. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 213815, 426590, 638325, 849020, 1058675?\n\"Answer: -520*l**2 + 214335*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.04, -3, -239?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 + 198552*f - f**3 - 99263*f - 99276*f to u + a*f**2 + j*f**3 + w*f and give u.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -113326 - 10?\nAnswer: -113336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/370 - (-41)\/((-213897)\/(-60)).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 + -0.8. Let u = 0.21 + 3.79. Let j = y - u. Which is the closest to 0.1? (a) j (b) -0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.42 - -15.58. Let a = -16.057 + r. What is a rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + k - k)*(-1 - 2 + 0) + 4*k - 4 + 4 + 5*k - 2*k + k.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of j**5\/30 + j**4\/4 + 4*j**3\/3 - 12*j**2. Does 14 divide o(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*r + 36 = r, 5*r + 30 = -t. Let f be 4\/5*t\/(-6). Let 0*c - 2*c + 42*c**4 - 6*c - 24*c**f + 26*c**3 = 0. What is c?\nAnswer: -1, -2\/7, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0514001 years in millennia?\nAnswer: 0.0000514001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50400 and 2736?\nAnswer: 957600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(1900) - (0 + sqrt(1900))) + -2 - sqrt(1900))*-4 + (sqrt(1900) + sqrt(1900) + 0)*-1 + 1 + 2*sqrt(1900) + 2)*3)**2.\nAnswer: 7920*sqrt(19) + 274689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-5)\/(20\/4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1787210*m = 1786901*m + 19467 for m.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -907745 - -2131385163\/2348. Find the common denominator of -89\/14 and b.\nAnswer: 16436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1910 + 8442.1.\nAnswer: 10352.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1\/6, -0.4, 0.2, -4\/79, -8, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 u when three letters picked without replacement from rrurrrur.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 minus 2341?\nAnswer: -2340.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g**3 - 2*g**2 + 86*g - 171. Let y be n(2). Suppose -4*z = -11 + 3. Sort -4, z, y in decreasing order.\nAnswer: y, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 6*o + 5. Let g be w(-7). Let q be (-5)\/g*(-12)\/10. Put -7, -4, q in increasing order.\nAnswer: -7, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31473.06 litres in millilitres?\nAnswer: 31473060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 143056*g + 143054*g + 10 = 0, -g = -4*u - 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11694323 a multiple of 279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, n: 4, j: 3}. Give prob of sequence rj.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -0.96. Let i = q + -0.34. What is the smallest value in 0.5, i, -1\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g + 0 - 1 + 1. Let j(t) = 3*t + 4. Let q be (-16)\/(-72) + (-194)\/(-18). Let w(i) = -8*i - 11. Let y(s) = q*j(s) + 4*w(s). Determine y(z(b)).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w + w - 8 + w**2 - 6*w - 17*w**3 + w**2. Let k(m) = -11*m**3 + m**2 - 5*m - 5. Determine 8*k(p) - 5*s(p).\nAnswer: -3*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 7:09 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3 + 14*a + 4*a - 23*a. Let k(s) = 2*s. Let l(g) = c(g) + 3*k(g). Calculate l(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9006 and 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/((-189)\/(-108))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 9 + 5. Let p be -10 - (-9 - -3) - (n + -2). Solve 2*q - p = q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 12:55 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -9. Suppose 2*u = b + 2. What is the second derivative of f**4 - f + f**u - f**2 + 0*f**2 wrt f?\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.4 (b) -4 (c) -45 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5.0767 and 0.619.\nAnswer: 5.6957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2058*n**3 - 1670*n**2 + 14*n + 264499062.\nAnswer: 6174*n**2 - 3340*n + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of 4\/35*d**5 - 16\/21*d**3 - 18 + d**2 + 1\/7*d**4 - 4\/7*d - 1\/21*d**6. What is c in p(c) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 209719451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-4 + 3 + (-7 - -1))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5*s**2. Let l(y) = y. Let x(p) = 3*p. Let c(n) = 4*l(n) + x(n). Calculate c(h(z)).\nAnswer: 35*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 133, 263, 393?\n\"Answer: 130*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6565503 and 1239.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 490*a - 3891*a**5 - 1 - 2*a**4 + 1939*a**5 - a**4 - 2*a**4 + 2005*a**5 wrt a.\nAnswer: 1060*a**3 - 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23 - -404?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/64*(-59384)\/1713.\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (66\/(-99))\/(2 + 20\/(-9)). Suppose 0 = -2*t - 4*o + 26, j*o + 12 = t + 4*o. What is the greatest common factor of t and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*u**2 + 24*u**2 - 63*u**2.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/(-27))\/((-1)\/(-5))*(2 - 1). Put 0, u, -4.135 in descending order.\nAnswer: u, 0, -4.135","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2337.\nAnswer: 3, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 403 a factor of 22206322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 5*v + 7. Let r be b(-6). Suppose -c + l = -r, -4*c + l - 4 = -l. Find the common denominator of -13\/6 and 57\/42 - (c - -2).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, x: 5, w: 5}. Give prob of picking 3 x and 1 z.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 - (-145 + 3) - -4. Suppose s - 91 = -k + 51, 0 = k - 2*s - v. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a**(-5)\/a))\/a)\/a)**(1\/7)*(a\/(a\/(a\/(a\/(a\/a**(4\/7))))))**(1\/6) assuming a is positive.\nAnswer: a**(11\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*o - 138*o - 693 = 0. Let r = -28 - -72. What is the greatest common divisor of r and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 513?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*g**3 - 12*g**3 - 11*g**3 - 3*g**4 + 42*g**3 - 12*g + 9 - 6*g**2.\nAnswer: -3*(g - 3)*(g - 1)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*m = -336*m + 1216 + 288 + 2562 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -371\/4 - -92. Let j = 0.033 - 83.033. Let m = j + 83. Which is the third smallest value? (a) m (b) u (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 2)\/(1 + -2). Let n = -341 + 336. Sort 3\/5, 2\/19, n, j in descending order.\nAnswer: 3\/5, 2\/19, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8058 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**2 + 1668047*p + 1668022*p - 3336069*p.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61230080.\nAnswer: 2, 5, 11959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -247 * -0.2.\nAnswer: 49.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59 + 61. Solve 0*y = t*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*y - 3*y. Suppose -4*b = 2*k - 12, 5*b + 0*k - 2 = 4*k. What is the third derivative of j**y + 2*j**4 - j**2 - b*j**2 wrt j?\nAnswer: 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w**14*w)\/w*w)\/w**(-2) assuming w is positive.\nAnswer: w**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from pppppippppajptaippjj?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-78)\/39*(-4)\/(8*-11)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16.71 + -17. Let b = -0.13 - u. Round b to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 23*g**2 + 105*g**3 + 6*g + 5*g - 9*g - 49*g**3 - 55*g**3 - 4*g**4 to the form k*g**3 + z*g**2 + n*g + j*g**4 + o and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 274 + 255 - 257*o**2 - 1205*o**3 - 807 + 272 wrt o.\nAnswer: -7230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41375 (base 8) in base 14?\nAnswer: -636d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 3709316?\nAnswer: -1\/1854658","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 10*n**3 + 2*n + 5*n**3 + 9*n**2 + 3*n - 13*n**3. Let i(j) = j**2 + j. Calculate -c(b) + 5*i(b).\nAnswer: -2*b**3 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + (7 - 3) + -3 + 5.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21758 and 330627.\nAnswer: 15208842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -210 or -209?\nAnswer: -210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 5*q - 30. Solve -4*w = -7*w - q for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nibb when four letters picked without replacement from {j: 1, n: 2, p: 4, k: 2, b: 5, i: 1}?\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 w when two letters picked without replacement from {x: 3, q: 1, d: 1, s: 1, e: 6, w: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 3943.194823 to the nearest ten.\nAnswer: 3940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 101 - 29. What is the least common multiple of 12 and h?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -15270, -30536, -45802?\n\"Answer: -15266*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-12)*4)\/1. Let n be 1 + (a*36)\/1. Suppose l + l = 3*h + n, -6 = -2*h. List the prime factors of l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 9) in base 2?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*f + 92*f + 5*w + 26782 = 0, -f + w = -26790. What is the ten thousands digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*w - 32 = 0, 0*s - 86 = -3*s - w. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52383, -52385, -52389, -52395, -52403?\nAnswer: -52413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 5*h + 3151711 = 41*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 234*36\/3784 - -3. Let d = 88\/43 + l. Let s = -789\/110 + d. Put 0.12, 1, s in descending order.\nAnswer: 1, 0.12, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 20*z**3 + 17*z**2 - 17*z + 17. Let l = -509 - -512. Let m(p) = -2*p**3 + 8 + 7*p**3 + 2*p**l - 2 + 0*p**3 - 6*p + 6*p**2. Give 6*h(g) - 17*m(g).\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 2*l**4 + 14*l**3\/3 + l**2 - 6*l + 3. Let d(i) = -i**3 - i**2 + i + 1. Let k(p) = c(p) + 6*d(p). Factor k(a).\nAnswer: 2*a*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43697330?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -90 and 384.121.\nAnswer: 294.121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 120415 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -125520\nAnswer: 376560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -3*r + y - 7890, -2*y + 13149 = -5*r. Let b be (-796)\/(2 + (-69)\/30). Let p = b + r. Calculate the common denominator of 1\/60 and p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 6*s**2 + 8*s + 3. Let o(d) = 3*d**2 - 12*d + 25. Let a be o(5). Let y be (a\/15)\/4*-6. Let i be z(y). Solve 15 - 6 = i*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12020409\/1782 - 2\/11. Let y = 6781 - d. Let r = -71\/2 + y. Which is smaller: 4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-14))\/(404435\/180705).\nAnswer: -6\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 378\/91 - 690\/78.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 603 is divided by 36?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-360)\/(-84) + 4\/(-14). Is 4 >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 2*w - 4*w - w**2)*(-2*w**3 + 3*w**3 - 2*w**3)*(18 + 10 + 13).\nAnswer: 41*w**5 + 82*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 666063.1l in millilitres?\nAnswer: 666063100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.138848402 + 18.538866602. Let h = -379.6 + 398. Let x = h - v. Round x to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1753 or 1802?\nAnswer: 1802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -19. Let m(z) = -3*z - z + 4*z + 8 + z. Let u be m(q). Put -3, 1, u in descending order.\nAnswer: u, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 8*y**2 - 32*y + 3. Let w be l(-3). Solve w = -9*z + 14 + 13 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -53*q + 1057. Calculate r(20).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 6969, 2, 117, -3 in decreasing order.\nAnswer: 6969, 117, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 4*h - 52, -4*p + 18*h - 16*h + 16 = 0. Which is the third smallest value? (a) 0 (b) -2 (c) -1\/4 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 9*i - 7. Let n be m(-9). Let c(t) = t + 11. Let z be c(n). Solve -z*v - 29 = 3*f - 12, -3*v - 16 = -f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 44*k**2 + 197*k - 64. What is s(48)?\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 26. Let g = -7 + c. Let s = 4 - g. Is 0 less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 3*f**3 - 162951*f**2 + 2079732453*f + 3665384063295 = 0.\nAnswer: -1565, 27941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z + 2*u - 11, 1328*u = 7*z + 1322*u - 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 27 (b) -8942 (c) 5 (d) 8\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 85*y + 10. Let k be m(5). Suppose -t + k = 4*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (26 + 2 + -13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -631366*f - 764864.\nAnswer: -631366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 49344503 to the power of 1\/2, to the nearest integer?\nAnswer: 7025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -137 + 147. Suppose a*s + 183 + 47 = 0. Sort -12, s, 5 in decreasing order.\nAnswer: 5, -12, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 615799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*r - 15*r. Let w be -3 - (1 + (5 - r)). Let t be 2\/w - (-408)\/66. What is the highest common divisor of t and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230 - 778 = 16*u. Let p = 69 + u. Suppose p*y + 8 = 20. Solve 0 = y*b - 3*b + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11190.7 weeks in hours?\nAnswer: 1880037.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jnhhjhvvhjvhhsjvhd. Give prob of sequence dsn.\nAnswer: 1\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lfl when three letters picked without replacement from {f: 3, l: 6}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/1233 or 10?\nAnswer: -2\/1233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(4 - (-39)\/(-6)). Let u(v) = -v**3 + 5*v**2 + 7*v - 3. Let c be u(k). What is the highest common factor of c and 352?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -825958*k - 3303829. Calculate w(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157, 750, 1861, 3562, 5925, 9022, 12925?\nAnswer: 17706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**1\/w))**49\/(w*w**2*w)**45 assuming w is positive.\nAnswer: w**(-131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/(-8))\/(15\/60))\/(120\/3560).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14733017843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**5\/7 - 12*l**4\/7 + 8*l**3\/7 + 8*l**2\/7 - 12*l\/7 + 4\/7 = 0 for l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3*h = -6 - 34, 0 = -v + 2*h + 8. Let u(f) = -3*f**2 + 1. Let s be u(v). Let y = s - -274. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 202 - 333525?\nAnswer: -333323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 2*i**6\/5 - 23*i**3\/3 - 12*i. What is the second derivative of g(q) wrt q?\nAnswer: 144*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, v: 1, q: 1, n: 1, o: 2, s: 7}. Give prob of sequence ww.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 166183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 17 + 23)*(-1 - o + 1)*(1 + 0 - 3)*(2 - 6 + 5).\nAnswer: 48*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 5:40 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 101641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -4 + -10 + 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m - 10. Let d be k(-13). Suppose -20 = -x - d*x. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1, -5, -15, -23, -23, -9?\n\"Answer: b**3 - 8*b**2 + 11*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 3*c + 1. Let s(i) = i + 1. Let v(b) = a(b) - 3*s(b). Let h(r) = 2*r**3 - 4*r**2 - 2*r - 14. Let t(w) = h(w) - 6*v(w). What is t(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -5. What is the least common multiple of c and (1 - 2)*-13 - 2?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/83 in -5\/3, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + -1763?\nAnswer: -1769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59 + -43. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.47792 tonnes in kilograms?\nAnswer: 46477.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 556 and 6?\nAnswer: 1668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 44*4\/(-8)*-1. Let x be 0\/(-5) + (-20 + 2 - 0). Let r = f + x. Solve -5 + 24 = -4*u - h, r*h + 16 = -u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 47256203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14796 + -12146365.\nAnswer: -12161161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 14205.4ml?\nAnswer: 14.2054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4226 - -4352 - (-2 + 18 + (1 - -1)).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 12 = 4*n, 2*k - 5 = -3*n + 1. Suppose 2*j + 3*o - o = -8, 2*o = 4*j - 14. Suppose -d = -2*d + j, -5*d = k*i - 443. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/2))**35*i**(-6)*i\/(i*i*i**(-2\/11)\/i))**33 assuming i is positive.\nAnswer: i**(771\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*c = 74259 - 73503 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.84 - 7. What is k rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/3 + (-2)\/(-3))\/2. Find j such that m + 1\/2*j**2 - j = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 21112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 7*i**2 - 2*i - 6. Let h be (-1 + -3 + 1*3)*7. Calculate y(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137733161*s - 137733161*s + 7*s**2.\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3.8 (b) 0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 5*m**2 - 3*m. Let q be c(-4). Let y(w) = -w**2 - 6*w - 1. Let t be y(q). Suppose 4*u - t = -23, 3*n = -5*u - 14. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-175)\/100 + 1\/4. Let y = -0.1 + 0.2. Let m be (6\/(-4))\/(10\/4). Which is the nearest to 0? (a) z (b) y (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 275 - 2536 = -y, 0 = -2*l - 4*y - 900. What is the second biggest value in -2\/7, l, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 488*j + 1. Let i(f) = -1371*f. What is i(k(a))?\nAnswer: -669048*a - 1371","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1590, -1\/4, -4 in ascending order.\nAnswer: -1590, -4, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220 + -11110011122101?\nAnswer: -11110011200021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1388 (base 12) to base 10.\nAnswer: 2264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 5410 = -0*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u\/(u*u**(4\/11)))*(u\/(u\/((u*u**(4\/3))\/u)))\/u*u\/(((u\/u**(2\/15))\/u*u)\/u*u)*u**(2\/5)\/u assuming u is positive.\nAnswer: u**(203\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7587 and 82512?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 0. Let g be 1 + c + 0 + 2. What is the third derivative of n**2 - 2*n**g - 4 + 4 wrt n?\nAnswer: -120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of l**5\/60 - 25*l**2. Let q(a) = 29*a. Calculate h(q(o)).\nAnswer: 841*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -1000010?\nAnswer: 1000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41\/2 + 20. Which is the nearest to 0.1? (a) -4 (b) x (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80 by -79.\nAnswer: 80\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.4, 21, 4, 9 in decreasing order.\nAnswer: 21, 9, 4, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*x + 3*x + 21. Let h be ((-121)\/(-33))\/(1\/x). Let i = 252 + -131. What is the highest common divisor of h and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/9 smaller than -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 3*n**2 - 6*n - 5. Let s be f(5). Suppose s = -0*p - 3*p. Let u = 7.7 - 8.1. What is the third smallest value in u, p, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22771 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: Calculate -0.0478*0.34.\nAnswer: -0.016252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 9*u**2 + 9*u. Determine y(-4).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = g - 0*g - 3*x, -3*x - 21 = -5*g. Suppose -9*s + 2*h = -6*s + g, 5*s + 4*h + 5 = 0. Let q(m) = -m - 3. What is q(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 2481870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 3, -1, 4, 2 in decreasing order.\nAnswer: 19, 4, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 15 = k - 0*k, -5*m - 2*k = -15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65 and 6773.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.986031 months to millennia.\nAnswer: 0.00233216925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21461*x**2 - 10692*x**2 - 10689*x**2 - 5*x)*(1 + 1 - 3).\nAnswer: -80*x**2 + 5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -52507*h**2 + 52495*h**2 + 31*h + 76*h in the form x*h**2 + g*h + q and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bwwwwwbwbw. Give prob of picking 1 b and 1 w.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n - 37. Let x be s(33). Let i be (-1)\/3 - 196\/(-12). Let p be (56\/i)\/(13\/(-12)). Is p < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/39 and 41\/24?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56595605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + u + 43. Is x(14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(252\/(-1050)))\/((-50)\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from csgiclgwcccwccc. What is prob of picking 1 s and 1 c?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -7bbb96?\nAnswer: -7bbb94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 391*m = 36*m - 5325 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1425853, 1425851, 1425849, 1425847, 1425845, 1425843?\n\"Answer: -2*z + 1425855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/(sqrt(10)\/(sqrt(2)*1)))\/((sqrt(484)\/(sqrt(11)*-2))\/sqrt(11)).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 764 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 157*d + 6. Let u(f) = -3*f**2 + 30*f. What is x(u(h))?\nAnswer: -471*h**2 + 4710*h + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-188)\/(-6))\/(-1))\/(20*48\/(-2880))?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -86 > -3658\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 times 2\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*p**2 + 78*p**2 - 46*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 - -33. Calculate the smallest common multiple of u and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 - -1) + -1*1. Let a be (0*(-1)\/3)\/((-9)\/(-3)). Sort 22, a, f in descending order.\nAnswer: 22, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 2:44 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12543553*y - 11946645?\nAnswer: 12543553","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*p - 5*w - 54 = 32*p, 0 = 5*p - w - 66. Suppose -5*h + 2*h = -12. Calculate the highest common divisor of p and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-468)\/(-2)*(-6374)\/(-200). Suppose -22*g + 45*g = 171488. Let m = g - r. Find the common denominator of -83\/2 and m.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 312720 and 834060.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26359 or -6091?\nAnswer: -6091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 359213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1336, 4, 11, 1 in ascending order.\nAnswer: 1, 4, 6, 11, 1336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**4 - 140*n**3 + 392*n**2 - 256*n.\nAnswer: 4*n*(n - 32)*(n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 408 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*z**3 + 164*z**3 - 60*z**3.\nAnswer: 251*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = k - 2*k. Suppose 5*o - k = 9. Let l = 11 + -4. Solve -2*g - o*i - 18 + 4 = 0, -5*g + 3*i + l = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and 6676.4.\nAnswer: -46734.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-112)*26*4\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**2 + 17*o - 19. Let t(p) = p**2 - 16*p + 20. Let v(w) = 2*r(w) + 3*t(w). What is the remainder when 19 is divided by v(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.12 + 0.12. Let y = 0.7 - -9.3. Let r = y + d. Which is the smallest value? (a) r (b) -0.4 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -391 in 2\/5, -2\/193, -1\/6, -1, 2\/15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 292163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -134 - -111. Let k = i + 27. Suppose -4*t + 28 - 8 = 2*g, -k*g + 4*t + 4 = 0. Solve 0 = -g*l + 5*a, 3*a = -0*a for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -4, 5 in descending order.\nAnswer: 5, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1027 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - -0.7. Sort -2\/13, i, 2 in decreasing order.\nAnswer: 2, i, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*m**2 + 2*m - 448 + 47*m**2 + 17*m**3 + 439 to b*m + u*m**2 + n + t*m**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5 = -4, -4*b = 4*a - 132. Calculate the remainder when a is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + -3*(sqrt(567) - (sqrt(567) + 0))*-2 + -4)**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1053, 2140, 3257, 4404?\nAnswer: 5581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**7\/525 + n**6\/300 + 11*n**2. Let d(j) = 0. What is j?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, h: 2}. Give prob of picking 1 h and 1 z.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 7*s**2 - 6*s + 4. Let f be z(6). Suppose f*j + 5 = -15. Let v = 5 - 7. What is the second biggest value in v, 1, j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3516 - 3497. Calculate the highest common divisor of 48 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -160*b + 12. Let q(z) = 81*z - 7. Calculate -3*c(v) - 7*q(v).\nAnswer: -87*v + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - -3)*96\/8 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of 13*d - 37\/15*d**6 + 0*d**3 + 0*d**5 + 15\/2*d**2 + 0*d**4 + 0. What is the derivative of t(x) wrt x?\nAnswer: -296*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -3016 (c) -1017\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wjwjvjvjjwqvjj. What is prob of sequence qvvv?\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -789, -1847, -3183, -4797, -6689, -8859?\nAnswer: -11307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 345269 and 14576.\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51832 + 95985. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -89*a**3 - 7*a**2 - 10*a - 23. Is h(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 94 and 32665.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**2 + 3*w**2 + 3*w**2 - w**2 - w**2 + w**2 + (0*w - 3*w + 2*w)*(w - w + w) - 7*w**2 + 2*w**2 + 12*w**2 + 2*w**2 + w - w.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 43807583 to the power of 1\/2, to the nearest integer?\nAnswer: 6619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of 1\/2*h**3 + 0*h**4 + 1\/120*h**6 + 1\/20*h**5 + 0 + 3*h**2 + 0*h. Let x be m(-3). Solve -7*r + x*r = 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-22)\/(-4)*5*2. Let j be (2\/(-2))\/((-2)\/2). Suppose 5*m - b - 20 = 0, 9 = -m + 3*b - j. What is the highest common factor of g and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -32. Suppose 63 = 7*b - 4*b. Let n = b - w. What is the remainder when n is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z. Let j(n) = 178*n**2 + 2*n. Give 2*c(m) - 2*j(m).\nAnswer: -356*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 + 0 + -6)\/(-2). Solve 2*p - 4 + 8 = i for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 13 = 1. What is the tens digit of f\/9*(-131 - -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*a**2*i**2 - 2*a**2*i*m*o - 1677*a**2*i + 2*a**2*m*o + 243*a*i - 215*i**2*m*o + 855*i**2*m - 2*m*o wrt i.\nAnswer: -32*a**2 - 430*m*o + 1710*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3541?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1689 + -1676 - (31 + (2 - (-1 + 2))).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12770 - 127811\/10. Calculate the common denominator of (-1*(-12)\/21)\/(81\/(-63)) and l.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (70 - (164 + -31)) + 145?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, x: 3, h: 1, s: 6, g: 4, p: 3}. What is prob of picking 1 s, 2 p, and 1 f?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216)*-1)**2 + 3.\nAnswer: 1219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1733, 6936, 15601, 24262?\nAnswer: 32919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 2*c + 115, 5*c = -q - q + 25. Let b = q + -23. Let l(y) = -2*y**2 + 2*y - 1. Give l(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000026445 rounded to 7 decimal places?\nAnswer: -0.0000264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -20 + -15 + 18 + 32\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + 6 + -42 + 19.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 5:03 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - -6662109.\nAnswer: 6662109.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10712, -10718, -10728, -10742, -10760, -10782?\nAnswer: -10808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 447635 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (570\/323)\/((-8)\/(-34)).\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of q**6\/120 + q**5\/6 - 5*q**4\/8 + 3*q**3\/2 - 6*q**2 + 2. Suppose g + 15 = 4. Is w(g) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -7*z - 6. Let w be x(-4). Suppose 2*v - w = 8. Does 4 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -495577 > -495602?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/5 - 76*i**2\/5 + 66*i.\nAnswer: 2*i*(i - 33)*(i - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*i - 693 = -117*i. Let u = i + 222. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*h = 10, -y + 0*h + h + 2 = 0. Find the third derivative of l**2 - 2*l**5 + l**2 + y*l**5 wrt l.\nAnswer: 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 864422522 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/((u\/u**(-2\/43))\/u*u)*u)\/u**(-23))\/(u\/u**(-26)*(u*u*(u**(-21\/4)*u)\/u*u)\/u) assuming u is positive.\nAnswer: u**(207\/172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 4:02 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 27510 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, 94, 55720?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -110944315 bigger than -110944314?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4674 = 75*j - 424701. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27007746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8941.834 + -8934. Let z = -153 - -152.866. Let x = z + v. What is x rounded to zero decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -17*k**4\/2 - k**3\/3 - k**2 - 9*k + 1. Let v be o(-4). Suppose 14*r - 137 - v = 0. What are the prime factors of r?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -51\/4*g + 485\/8 + 1\/8*g**2.\nAnswer: (g - 97)*(g - 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = -3*w + 5*w. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 3*r**2\/2 + 5*r + 335. Let n(i) = -13*i - 20*i + 54*i - 9*i + 21. Calculate -5*n(s) + 21*w(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 + 3)*(-2 + 2 - 2*c) + 3*c - c - 4*c + 3 - 3 + c + (6 + 0 - 3)*(5*c - 13*c - 2*c) to x*c + a and give x.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1920 - 1919. What is the smallest value in -5, -0.06, 0.2, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -134921, -269865, -404825, -539801, -674793, -809801?\nAnswer: -944825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (84*t**2 - 48*t**2 - 132*t**2)*(-9*t**2 + 6*t - t**3 - 6*t + (-3*t + t + 4*t)*(2*t**2 - 5*t**2 + 2*t**2)).\nAnswer: 288*t**5 + 864*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(5\/4)\/(q\/q**33)*((q**0*q)\/q)\/q*q\/(q*q**(-20\/9)) assuming q is positive.\nAnswer: q**(1241\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4\/5)\/(d\/(d\/(d**6\/d*d))*d))**18 assuming d is positive.\nAnswer: d**(-702\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 111140.236 * -0.1\nAnswer: -11114.0236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from popjgpomgopggiogjgji. Give prob of picking 1 m, 1 g, and 2 j.\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/6649 + 571811\/19947. Let x = c - 29. What is the closest to x in 0, 1, 2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = u - 22*r + 27*r, -3*r + 16 = -5*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -k**5\/20 + 5*k**4\/6 - 3*k**3\/2 - 3*k**2\/2 + 2*k. Let x be m(9). Is 10\/(-2)*1*x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/10 - 158\/(-4). Suppose -2*c - 1 = -c. Let t be 6 - 8 - 15*c. What is the greatest common divisor of g and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 10:42 AM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/4)*j)\/j*j*j**(4\/9))**(1\/37) assuming j is positive.\nAnswer: j**(43\/1332)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-4))\/(4\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25983170*x**2 + 596196*x + 1?\nAnswer: -51966340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**4 - 749340*c**3 - 2997328*c**2 = 0. Calculate c.\nAnswer: -374666, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 5*l + 1. Let s = 27 - l. Is s a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1655?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/4 - (-2)\/(-4). Suppose -x - 5*b + 180 = 4*x, -5*x + 180 = j*b. Suppose -5*h + x = -54. Is h a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -99.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2924, 5558, 7914, 9992, 11792, 13314?\nAnswer: 14558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - (0 + -2)) + 2. Let x be 15\/(-2)*4\/(-6). Suppose -f*z - x*i = -26, -z = i - 2 - 5. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/13, 8713.15, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 10:50 AM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 4*f - 5. Let b be s(1). Suppose b*a - 4*a - 670 = -5*g, -3*g + 409 = -a. List the prime factors of g.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h - 13. Let j be c(-9). Suppose j*y - 1 - 9 = 0. Solve o - 3*v = 13, 2*o + v - 1 = y*v for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (10 - 14) - (9 + -1).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*-3*2\/12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/2 - 2*v - 2.\nAnswer: -(v + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13461 + 13460. What is the nearest to 2\/89 in 3, -2\/9, q?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 744206.3 millimeters in micrometers?\nAnswer: 744206300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 7\/(-28)*-8.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*q**2 - 84*q**2 - 28*q**2.\nAnswer: -78*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -643*n + 600*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -t**5\/5 - t**2\/2 - 4*t. Differentiate m(k) wrt k.\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhffhhfhhnhinffh. Give prob of sequence ffhi.\nAnswer: 55\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 + -4.1. Let p = l - -3.7. Let w = 1.01 - 1.01. Which is the third smallest value? (a) 3 (b) p (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**5 + 29682900*m**3 + 6871982*m**2 + 5 wrt m?\nAnswer: 60*m**2 + 178097400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 13691476 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express ((p - 2*p - p)*(4 - 4 + 4) + 81*p - 76*p + 149*p)*(0*p**2 + p + 5*p**2 - 3*p**2) as c*p**2 + q*p + j + l*p**3 and give l.\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3644*m - 3909*m - 202279 = -1515*m - 571*m for m.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**3 + 258*w**2 + 788*w + 528 = 0. Calculate w.\nAnswer: -2, -1, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of c**2 - 27*c + 7. Let b be r(14). Sort b, -5, -6.\nAnswer: -6, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/(-5) + 0 + (-45)\/(-3). Let g(q) = 14*q - 36. What is the tens digit of g(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3551438690.\nAnswer: 2, 5, 97, 3661277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 9:13 PM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4444 + 1?\nAnswer: -4443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36403626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -71 and 74 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**3 + 49*g**3 - 209*g**3.\nAnswer: -160*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 312*p**2 + 905*p + 49. Give s(3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 86c + 34?\nAnswer: 8a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2411153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**2 - 1 + 5*r - 4*r**2 + r**3 + 9*r**2. Let t = 255 - 262. Is 6 a factor of x(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 + 4)*(-3020 + 3020 - 47*s)*(-4*s**3 + s**3 + 0*s**3).\nAnswer: 987*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 41040386.1us?\nAnswer: 0.00006785778125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*t - 32*t = 406552. List the prime factors of t.\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 27. Suppose -2*y = 4*o - v, o + o - 5*y = 0. Solve -7 = o*q + 18 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 3579*m - 3. What is x(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*p - 28*p = 8. Suppose 0 = -4*v + 2*y - p, -3*y = -2*v - 2*v - 6. Which is the smallest value? (a) v (b) -11 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 7*b**2 + 180*b - 916. Give n(-30).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -1589\nAnswer: 1\/1589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*o**4*v + 2*o**4 - 606*o**3*v + 5*o**3 - o**2*v + 2*o**2 + 400*o*v + 6*o - 4*v wrt o?\nAnswer: 216*o*v + 48*o - 3636*v + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -215515460 divided by -3169345\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-36))\/(28\/42). Put -8\/7, -6\/11, w in increasing order.\nAnswer: -8\/7, -6\/11, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 6*q + 13. Suppose 0 = 4*m - 5*z, -3*m = z - 5*z. Let i be u(m). Which is the closest to i? (a) -0.3 (b) -0.5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n + n + n + (-2*n + 2*n + n)*(0 + 1 + 1) + (1 - 3 - 4)*(2*n + 0*n + 0*n) + 2 - n - 2 + (0 - 4 + 2)*(161*n - 17*n + 129*n).\nAnswer: -558*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -192, -371, -560, -765, -992?\nAnswer: -1247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 - 0.1. Let u = l - -0.3. Let j = -350 - -355. Which is the nearest to u? (a) 0.2 (b) j (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*s + 4*s**4 - 6*s)*(0 + 0 - 2*s) + 5496*s**2 + 26*s**5 - 5496*s**2.\nAnswer: 18*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*b - 2043 = -17*b - 793 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*k + 8*k - 2*k - 5*k**2 + 16*k**3 - 9*k**4.\nAnswer: -k*(k - 1)**2*(9*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35398656 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/1*5\/(-20)*2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) 2\/11 (b) -4\/5 (c) 0 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -41, -28, -9, 16?\n\"Answer: 3*g**2 + 4*g - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3}. What is prob of picking 2 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**3 + 31*c**2 + 13*c - 36. Suppose 81*l = -26*l + 440 - 2045. What is t(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -575*w - 2142*w - 56209 = 61*w + 63245 for w.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 22 in descending order.\nAnswer: 22, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 637 divide 148857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrfffffyfffyff. What is prob of picking 2 r?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 4:47 PM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + b**2 + 3*b + 1. Let c be j(3). Let k be 2\/c - 1812\/(-16). Let v = k - 21. Is v a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -715 - 696 + 1411 - 11*o.\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*k - 4*k + 6*k - k.\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -741*r + 749*r - 35, a + 4*r = 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a tonne in kilograms?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((-3 + -2 + sqrt(272) - sqrt(272) - (-1 + sqrt(272))*-3) + 4) + -4)**2.\nAnswer: -1920*sqrt(17) + 61456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 30\/125*5*180\/(-54)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -513 + 1613. Let f = 17 - t. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57 + (0 + 12 - ((142 - 131) + 3 + -3)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1207\/350 + 27\/100. Let u be 8\/423*3*-1. Let m = u - 11123\/282. Find the common denominator of n and m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 11) to base 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1721448 is divided by 1131?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 4*n + 5*q - 96, 4*q = 2*n - 48. Let j(i) = -4*i - 1. Calculate the lowest common multiple of n and j(-4).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -9*s**2 + 9*s + 4. Let g(q) = 3*q - 7. Let j be g(4). Let a(v) = -9*v**2 + 10*v + 5. Let r(n) = j*y(n) - 4*a(n). Let u(k) = -k**2. Determine r(u(h)).\nAnswer: -9*h**4 - 5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 17 + -2 + -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 670.\nAnswer: 7370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/1)\/(10\/(-75)*-10)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/105)\/(348\/174)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 8*h**2 + 9*h + 21. Determine r(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20143\/60 - -998\/3. Calculate the common denominator of j and 45\/232.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11825323 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -214.51 to the nearest integer.\nAnswer: -215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -44*m**2 + m. Let r be q(-1). Let z = r + 45. Solve 0*t + t - 3 = z for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*b**2 - 6*b**2 - b**2 - 8*b**2.\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*o + 8 = 40*o. Let f be (6 + -7)\/(1 + o). Let c(s) = -2*s. Give c(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 129492542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 14*z + 37*z - 25*z.\nAnswer: -2*z + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26116 + -26121. Which is the second smallest value? (a) u (b) 0.4 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7452)\/897)\/(63\/(-273)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1))**(-3\/28)*((y\/(y\/y**(2\/5)))\/y)**(-1\/35) assuming y is positive.\nAnswer: y**(87\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three eighths of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 27267 and 28.\nAnswer: 763476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2772.41 rounded to the nearest ten?\nAnswer: 2770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 225, 1117 in decreasing order.\nAnswer: 1117, 225, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.1, -28, 2, -7, -4\/3, -9\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 86*f**2 - 133*f - 219. What is the first derivative of z(c) wrt c?\nAnswer: 172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 22 = 2*w, -3*w + 6*w - 5*q - 13 - 12 = 0 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 4*m**2 + 587220*m - 321223000 = 0.\nAnswer: -147350, 545","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*v + 211*v - 311*v.\nAnswer: 64*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and 77?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(119))\/sqrt(7).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1069413 to the nearest integer?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b + 8. Let g be y(-6). Let i be -3 + 1 - 16\/g. Differentiate -2 - i - 3*m**2 + 2 wrt m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 360 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 522 divided by 1.\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/407 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -18. Let i = 9789 - 9785. Sort 1, c, i, -2 in descending order.\nAnswer: i, 1, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29484 + 29483.7. Which is the fifth smallest value? (a) 2 (b) -4 (c) h (d) 4 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 16. Suppose 0 = 2*p - 52 + r. Suppose -5*i + 52 = -p. Calculate the remainder when 37 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 22 = 5*f. Let m(p) = p + 4. Let w be m(f). Suppose -z + 2*z = w. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108491?\nAnswer: 23, 53, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -295 + 297. Let l(w) be the third derivative of 1\/40*w**6 - w**g - 1\/6*w**3 + 0 + 0*w + 0*w**5 + 0*w**4. Differentiate l(t) wrt t.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 450\/(-210)*((-808)\/156 + 5)\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 4*t + 41. Let z = t - -10. Calculate the remainder when 22 is divided by z\/10 - (-34)\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 0*k - 409 = 4*k, -4*k - 239 = -3*n. Let h = n + 4. Let d = h - 47. What is the highest common divisor of 21 and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + -26. Let s be (5 - 10 - o)\/(1*-1). Solve 0 = f + s*f - 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -25246707*k**2 - 5*k - 393534483 wrt k.\nAnswer: -50493414*k - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 5*d + 1 + 2, 5*b + 3*d = -7. Suppose 0 = 42*h - 45*h + 9. Suppose 2*n - 3*t = -10, -h = -n + 2*n - t. Which is bigger: b or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1654)\/4 - 7\/14. Are -414 and m nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10011110110010111 (base 2) to base 7\nAnswer: 456015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1747 - -2248. Calculate the least common multiple of w and 24.\nAnswer: 4008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 13926 - 306263\/22. Find the common denominator of p and ((-4)\/(-14)*-9)\/4.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h = -71*h - 2*s - 239 + 1182, 4*h = -4*s + 56 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 26 = -2*l, -v + 7 = -8*l + 9*l. Does v = 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 9 = 0, 13 = u + 5*k - 66. Is u a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1783059?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 10 - 35. Let h(f) = -4*f**2 + 3*f**2 + 8*f + 13 + 0*f**2. Calculate the remainder when 10 is divided by h(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -1 - 8) + (29 - (-9 + 4 + 32))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -457592, -457591, -457590, -457589, -457588, -457587?\n\"Answer: l - 457593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 16520*x + 198367. What is u(-12)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -618*(-2)\/5*-5. Let n = t - -2401. Let g = n + 435. Round g to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-10))\/(615\/410). What is the nearest to v in 2, 0, -7, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30031202320 (base 4) in base 8?\nAnswer: -14154270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-1\/4))**41*(g**(-1))**(1\/65))\/((g**(-2\/5))**7*(g**2)**(-11\/5)) assuming g is positive.\nAnswer: g**(9863\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -89 - -94. Solve 3*o - v = -2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 7*o**5 - 4*o**2 + 5*o. Let j(u) = 3*u**5 + 2*u**5 - u**2 - 7*u**5 + u + 3*u**5. Let b(z) = 5*j(z) - t(z). What is the third derivative of b(c) wrt c?\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from lslslsrsrslsr?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 15*p. Let w(k) = -5*k**2 + 7. Let a(m) = 3*m**2 - 4. Let q(z) = 7*a(z) + 4*w(z). Determine q(d(r)).\nAnswer: r**4 - 30*r**3 + 225*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 20*k**3 - 144*k**2 + 290*k - 1935. What is p(7)?\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-1\/4))\/(o\/o**(-1\/6)))\/(o**(2\/13)\/o*o*o**0))\/((o**(-1\/4)\/o)**40)**34 assuming o is positive.\nAnswer: o**(265189\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.33 - -0.13. Let a = u - -12.2. Let t = -19 + a. Sort t, -3, 0.2 in increasing order.\nAnswer: t, -3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 2. Suppose 3*x - 5*d - 106 = -k, -2*d + 49 = x. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/3)\/((-2316)\/144 - -16). Sort i, 2, -2, -6 in descending order.\nAnswer: 2, -2, i, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22308 and 22979?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 108373778 to the nearest integer?\nAnswer: 10410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*y - 22. Suppose -3*j = -7*j + y. What is the highest common factor of j and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3001*g - 51019. Determine i(-17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 14. What is the second derivative of -j - 2*j + 4*j**4 + r*j**4 - 6*j**4 wrt j?\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2638982.\nAnswer: 2, 61, 97, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e, 1 f, and 1 a when four letters picked without replacement from ffafaanraaefeaffaaaf?\nAnswer: 21\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*c**2 + 69326*c + 385700.\nAnswer: -2*(c - 3857)*(9*c + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -35. Suppose u = 162 + q. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + 29. Let u = 57 - v. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33159*i**2 - 68485*i**2 + 35323*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 120 = -5*t, 66*c - 2*t - 38 = -9 + 19 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*j - 19*j - 48 = 0. Solve -b + 4 = -j*x, -4*b + 2 = x + 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/160*-4*-2.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -234516392 divided by 5329918\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w - 1. Let i = -1 + 2. Let m(b) = -b**2 - 4*b - 8. Let d(f) = i*m(f) - 3*p(f). What is the units digit of d(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 11:16 PM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 5148*i**2 - 25*i - 27. List the prime factors of j(-1).\nAnswer: 2, 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/275494889 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r*r*r**14))*r*r)\/r*r*r**(6\/5))\/((r*r\/(r*r\/r**(-2\/13))*r)\/(r**(-1\/20)*r)) assuming r is positive.\nAnswer: r**(5019\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11948.5 - -19082. Let s = 7147.0862 - q. Let o = s + -13.6. Round o to 3 decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nyybnnn. What is prob of sequence yyn?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 99, -85191, -2 in decreasing order.\nAnswer: 99, 6, -2, -85191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -262, -0.06, 0, -1\/18?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58 - 64.2. Let h = y - -6. Let j = h - -0.2001. What is j rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -4*h + 10. Give w(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 464045 is divided by 2343.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: c46 (base 15) to base 11\nAnswer: 2095","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 180, 228, 276, 324?\nAnswer: 372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000696958 rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**3 + 110*w**2 - 227*w + 56. Let l be y(-57). Which is the closest to 24? (a) -4 (b) l (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of n**4\/20 - n**3\/10 + 2*n. Factor a(p).\nAnswer: 3*p*(p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51\/(-2)*(15*583\/(-385) + 23\/1)\nAnswer: -51\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 7:17 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/3064 and 89\/12376.\nAnswer: 4740008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/60 + 11\/5. Find the third derivative of -3*r**3 - 6*r**4 + 9*r**4 + 3*r**3 + 4*r**z wrt r.\nAnswer: 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + -10. Suppose 0 = -19*v + 37 + 58. Suppose v*g = 2*g + q. What is the highest common divisor of g and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 22*t - 798. What is k(36)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3175 + 28573\/9. What is the nearest to v in 6, 3\/8, -4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1061 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 - 46. Let t(r) = 2*r - 2. Determine t(f(v)).\nAnswer: 4*v**2 - 94","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**27\/(g\/(g\/g**(-2\/5))) assuming g is positive.\nAnswer: g**(137\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -2*a**7\/105 - 7*a**6\/30 - a**5\/3 + 7*a**4\/6 + 4*a**3 - 115*a**2. Factor d(v).\nAnswer: -4*(v - 1)*(v + 1)**2*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 4*j - 11, 0 = -2*j - 2*y - 2*y + 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 436521 is divided by 144774.\nAnswer: 2199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -12*r**2 + 17*r**2 + 16*r**3 - 5*r**2 - 35. Let m(z) = z**3 - 1. Let l(y) = -a(y) - 3*m(y). Differentiate l(p) wrt p.\nAnswer: -57*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6158?\nAnswer: 2, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 10:19 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3 + 103547*y**2 + 2071361*y - 2174907.\nAnswer: -(y - 103567)*(y - 1)*(y + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, m: 7, s: 4, u: 4, k: 1}. What is prob of picking 1 b and 1 m?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1318 - -1323. Let z(a) = -a**2 + 2*a + 10. Determine z(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/358830 and 79\/789426.\nAnswer: 3947130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**2*o*z + 39206*d**2*o + 20*d**2*z - 151*d*o*z + 2*d*o + 206*o*z wrt d?\nAnswer: -4*o*z + 78412*o + 40*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 29 + (-26 - -17) + (0 - 2). What is the highest common factor of i and 1002?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203405197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1283684*w + 192*w**2 - 1283684*w - 2 to c*w**2 + m + q*w and give c.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -481*z**2 + z + 238*z**2 + 243*z**2 + 8*z**3.\nAnswer: 8*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k**2 + 4*k**2 - k**2)*(-3*k + k - 3*k)*(k - 4*k + k + (2*k + 3*k - 4*k)*(24 + 11 - 3)).\nAnswer: 450*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-70.51.\nAnswer: -28.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 6*n**2 - 5*n + 3. List the prime factors of l(7).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 2*q + 5, 0 + 7 = -s + 5*q for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2994 (base 16) in base 12?\nAnswer: 61b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -31790000 rounded to the nearest 1000000?\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + 2*o + 5*o)*((3 + 1 + 1)*(-3*o + o + 0*o) + 2*o - 2*o + o).\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11429698 and 1042?\nAnswer: 1042","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 5*q - 2. Let s be o(3). Let j = -87775\/16 - -5482. What is the common denominator of 0 + 30\/s - -2 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3583617287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -4*s + 10. Let a(o) = 2*o**2 - 13781*o - 5*o**2 + 13781*o. Let y(c) = -2*c**2 + 6*c**2 - 2*c**2. Let q(f) = -5*a(f) - 7*y(f). Calculate q(x(h)).\nAnswer: 16*h**2 - 80*h + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 11 - 95 = -2*g, g - 52 = 3*b. Let d = -26 + g. What is the remainder when d is divided by (-1 + 2)*(0 + 10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1))**(1\/45)*s\/s**(-2\/5)*s*(s\/(s\/(s**6*s)))\/s*((s\/(s*s\/s**1))**(1\/19))**(-39) assuming s is positive.\nAnswer: s**(377\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (201 - (242 + 69)) + 24 + -2?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 5*c + 2684. What is j(78)?\nAnswer: -3010","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/10)\/(1\/(-10)). Let s be 14\/(-12) + 6\/f. Let t = -6528 - -424318\/65. Which is greater: t or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 220, 3\/4, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -93, -0.4, -0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k - 1. Let v be d(2). Let g = v + 6. Suppose -18 = 5*l + g*w, l + 4*w - 14 = -4. Is l bigger than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - s + 0*s)*((-6 + 1 + 4)*(4 - 2 - 4) + 9 - 4 + 40)*(-18*s + s + 2*s).\nAnswer: 2115*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-3)\/5*25\/(-30)). Calculate the least common multiple of 9 and (-5 + x)\/(15\/(-35)).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-36)\/15*(35\/(-3))\/7. Suppose z*q - 4*x - 3224 = 0, -4003 = -5*q - 12*x + 8*x. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 times 4226883\nAnswer: -380419.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3*-5*(-2*sqrt(432))**2*4 - 3*((sqrt(432) + sqrt(432) + -1)**2 + 5)*-6).\nAnswer: -72463 - 864*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3429, -6396, -9361, -12324, -15285, -18244, -21201?\nAnswer: -24156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -250 (base 14) to base 11\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iisi when four letters picked without replacement from {i: 13, s: 5}?\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m + 12290 = 16*m. Let l(r) = -1 - m*r + 5 + 6137*r - 4. Let c(n) = 2*n**2. Determine c(l(g)).\nAnswer: 128*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*s - 4*s + 8*s)*(0 + 0 - 4*s**2).\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 + -0.7. Let d = -457 + 453. What is the closest to -0.2 in f, d, -2\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3409 and 5?\nAnswer: 17045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (91\/(-28) + 3)\/2. What is the third smallest value in 2, a, 4, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 3\/10, 0.4, 0.2.\nAnswer: -1\/8, 0.2, 3\/10, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + 6\/18*18)\/(10\/200).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/(-7) + (0 - 4\/(-14)). Suppose 3*a + y*h - 79 = 38, -a + 26 = 5*h. Suppose -20 = a*o - 43*o. What is the highest common divisor of 10 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -5 (c) -7 (d) -2\/9 (e) -5\/6 (f) 343\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4 = -4*q, 0*x + q + 3 = -x. What are the prime factors of (-210)\/x - (-4)\/(-16)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s**2 + 8128*s + 48671. Give y(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -48\/101 - -649\/303. Let b be (-2)\/(-11) - 145\/11. Let r = b + 10. Does y = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 minus -2.8455?\nAnswer: -6.1545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (78\/(-4))\/((-138788)\/427040)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4*r - 25 = 0, 5*f + 0*r = 5*r - 30. Let n = -4\/27 + -19\/54. Which is bigger: n or f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -23*j**5\/20 - 5*j**4\/6 - 2*j**3\/3 + 9*j**2\/2 - 97*j. Is a(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, -4, 31, 52, -2\/119 in increasing order.\nAnswer: -4, -2\/119, 31, 52, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2. Let y be 9*8\/(-12)*2\/6. Let m(g) = -g**2 - 2*g + 5. Determine y*n(r) + m(r).\nAnswer: -3*r**2 - 2*r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2017.5 + -2018. Sort -2\/5, -4, u, -0.167.\nAnswer: -4, u, -2\/5, -0.167","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(2) + 1 + -5))**2.\nAnswer: -8*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -366 (base 9) to base 11.\nAnswer: -256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 103*i - 2576. Let l be g(-60). Let x(p) = 13*p - 8. Let a(s) = -s + 1. Determine l*a(y) + x(y).\nAnswer: 9*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 22*o**3\/3 - 12*o**2 - 40*o + 382. Suppose g(c) = 0. What is c?\nAnswer: -10\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2007488 and 6649804?\nAnswer: 106396864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4*p - 18 = 0. What is the remainder when p is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = -37*x. Suppose 21*b - 217 - 581 = x. Calculate the highest common factor of b and 608.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80 - 330*q**3 + 56*q**3 + 25 - 361*q**3.\nAnswer: -635*q**3 + 105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 858\/(-3) - (3 + 3\/(-1)). Let y = f + 491. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b + 11. Let w be r(-8). Suppose -w*z - 2*z = -20. Let p(x) = -x**2 - x - 1. Let c(g) = -4*g**2 + 2. Let i(m) = -c(m) + 3*p(m). What is i(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 - 5547408*z**2 - 3846711392394*z + 7693444974436.\nAnswer: -2*(z - 2)*(z + 1386853)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, 66, 311, 810, 1647?\nAnswer: 2906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 608\/570*6\/(-8).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1159 and -9230.\nAnswer: -10697570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, -1, 1, -52?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4b421 - -14?\nAnswer: 4b435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, o: 2}. Give prob of sequence no.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6095355*t**2 + 6095283*t**2 - 12190748*t**2.\nAnswer: -110*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((f\/f**(4\/5))\/f)\/f)\/((f**(-34)*f)\/f))**(2\/111))**(-2\/3) assuming f is positive.\nAnswer: f**(-644\/1665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -122.56573 - -2.29473. Let k = u - -122.6. What is k rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 269, 272, 283, 302, 329?\n\"Answer: 4*u**2 - 9*u + 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 58404 and 3768?\nAnswer: 116808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**4\/2 - 5421*p**3 + 2159481*p**2\/2 - 54269320*p = 0. Calculate p.\nAnswer: 0, 101, 10640","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from zzbbtt?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -2*y + 4*z - 8, -z + 4 = 0. Suppose y*m = -5*p + 298, -4*m + 150 = -2*m + 3*p. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, r: 2, s: 1, d: 1, g: 5}. Give prob of sequence bgbb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) -34.684 (c) 4 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 3:36 PM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*q**3 + 58*q**3 + 2*q**3)*(3*q**2 - 3*q**2 - 4*q**2).\nAnswer: -172*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 183 - 36. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 12:42 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -162 - -342. Is a a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8d5 + -9?\nAnswer: -900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (30\/(-140))\/((-3)\/152). Let r = m + -829\/77. Suppose 2*d + 1 = d. What is the second biggest value in d, 0.1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10\/9 + -88\/63. Which is the fourth biggest value? (a) s (b) -2\/13 (c) 0.1 (d) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1087, 2687, 4287?\nAnswer: 5887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -32 + 21 + 6*z + 244 - 7. Is 16 a factor of f(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*u + 0*u**2 + 0 - 2\/9*u**4 - 12*u**3.\nAnswer: -2*u**3*(u + 54)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v + 5. Let o = 2 - 4. Let n(m) = -21 + 1 + 2596*m - 2588*m. Determine o*n(d) - 9*j(d).\nAnswer: 2*d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**2\/5 - 4271436*l\/5 + 2280645687762\/5 = 0.\nAnswer: 1067859","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(-1 - 0)*3*20176\/48. What is the highest common divisor of 169 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 + 14*q + 120.\nAnswer: -(q - 20)*(q + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*a - 98*a + 9264. Solve -9*k + 211 = a for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9758422 is divided by 1149?\nAnswer: 1114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/(-20)*-1 - (-19)\/4. Suppose -3*r = -5*r + 20. Suppose r - 4 = 2*z. Solve -d + z = -g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*j + 34 = -3, 5*j = -3*t - 65. Let a = -11 - t. Suppose v + 3*n = 24, -2*v + 65 = 3*v + a*n. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 12) to base 10.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 185095 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 94 + -48. Suppose 89 = 5*y - h. Find u, given that 12*u**5 + 17 - 6*u + y*u**2 - 27*u**4 - 6*u**3 - 17 = 0.\nAnswer: -1, 0, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m + 19. Let s be n(-11). Suppose o - 4*w + 0*w = -s, -17 = -2*o - 3*w. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9 (b) 4 (c) -51 (d) 224\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1545.7 to the nearest 10.\nAnswer: -1550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -91684378*o - 86260568 wrt o.\nAnswer: -91684378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 11 - 14*h + 9*h)*(-h + h + 2*h**2).\nAnswer: -10*h**3 - 34*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 178120602 to the power of 1\/3, to the nearest integer?\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 59 - 22 = 0. Let u = h - 9. Solve 14 = -5*f + 3*s, -4*f - s + 0*s = u for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -6*j**3 - 15*j**2 - 24*j - 11. Let o be g(-1). What is the closest to 2 in -0.5, o, -40?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 145 and 2847220?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3 = -5*b - 9, -b = 4*j + 16. Suppose b*h = 5*h. Which is smaller: h or -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248*w - 273*w + 300 = 0. Solve -z = -3*x - 0 - 8, -2*z + 5*x = -w for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 6*k - 4, f - 2*k - 161 = -173 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9101 + 10317. Is k smaller than 1215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 716414.1ug to nanograms.\nAnswer: 716414100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of 13*o**3\/3 - 12*o**2 - 13*o. What is the tens digit of m(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -403*a + 10*a**2 - 28*a**2 - 965*a**3 + 969*a**3 - 22*a**2 - 2*a**2 wrt a?\nAnswer: 24*a - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(-1)\/n*n))**(19\/2))**(2\/21) assuming n is positive.\nAnswer: n**(38\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q**3 + 44*q**2 - 33*q + 1. Let x(i) = -2*i**3 + 29*i**2 - 22*i + 1. Let k(b) = -5*u(b) + 8*x(b). Is k(7) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from iiiiiigiiiiiggiiggii?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/4)\/(2*(-9)\/204).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0495 * -0.3167.\nAnswer: -0.01567665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 41*x**2 + 84*x - 61. Let y be u(-43). Solve -2*i + 7 = -f, 2*i = -3*i + y for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*o, -4*j = -2*j - 2*o. Suppose 0*l + 2*l = j. Let g(n) = n + l*n - 2*n. Let r(v) = -v. Calculate g(r(k)).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 30597.83258 rounded to the nearest integer?\nAnswer: 30598","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 7*n - 2*n + 30 + n. Let c be z(-9). Let d = c - -25. What is the closest to d in -0.2, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 132740 to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -17*q**2 + 94*q - 20. Let b be c(5). Suppose -6 = -3*d - 2*t, -4*d + 8 = t + 4*t. Solve -d*m + b = 3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 2 = 2*m, -59*y = -60*y - 13*m + 43 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -540*l**3 - l**2 + l**2.\nAnswer: -540*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + q + 1179. What are the prime factors of b(0)?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9676601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fv when two letters picked without replacement from {j: 1, f: 5, g: 1, v: 3, m: 1}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 858400 + 8?\nAnswer: 858408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*x**3 - 243*x**3 + 125*x**3.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(175) + 0)**2 + 2 + sqrt(28)\/sqrt(4) + sqrt(7) - 1*(sqrt(567) + 0)).\nAnswer: -7*sqrt(7) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 637171 is divided by 478?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*a + 13*a = 9*a + 403 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4571*a**2 + 2.\nAnswer: 9142*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3 - u**5 + 6*u**5 + 3*u**3 - 7*u**2 - 322450*u + 322441*u wrt u?\nAnswer: 300*u**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 4*c - 5*f, -5*c - 4*f = -f - 50. Let v(y) = 2 + y + 4 + 0*y. What is the remainder when 62 is divided by v(c)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t - 66 = -20*t. Let h be (21\/t - 4)*0. Let o be (-8)\/(h - 2) + -26. Which is the closest to 2? (a) -2 (b) 1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*z, 2*z - 3 = -3*y + 3*z. Suppose 5*u + y = 5. Is (5 + -3 - -125)*u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000064542284 rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssbb. What is prob of picking 1 b and 1 s?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 22*a**2 + a - 168. What is i(-22)?\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001215488 rounded to 6 dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 142 + -712\/5. Let c = 162 - 136.9. Let h = c - 25. What is the nearest to h in 1, -3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 7*n = 45. Let a(o) = 11*o**2 - 4. Is a(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22858 at least -22856?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 11:45 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.22 less than -1055406?\nAnswer: -1055404.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 744 - -1647?\nAnswer: 2613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + u - 15 = y, -15 = 2*y - 5*u. Let o(c) = 4*c - 3. Calculate o(y).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, e: 3, x: 3, h: 1, v: 2, b: 7}. Give prob of sequence xbv.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -275 - -280. Solve 0*g - 19 = m*s - 2*g, 0 = -s - 4*g - 17 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2949, -2801, -2553, -2205, -1757, -1209?\nAnswer: -561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 60 = 5*f. Suppose 0 = 3*p - 2*p - 2*d - 2, -4*d + f = 4*p. Suppose p*b + 8 = 56. Calculate the remainder when 45 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**5\/11 - 236*a**4\/11 + 21182*a**3\/11 - 204064*a**2\/11 + 141720*a\/11 + 367200\/11 = 0. What is a?\nAnswer: -180, -1, 2, 10, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 3*q - 8. Let d be v(-6). Solve -i - i = d for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3199 + 3058 + 1046)*(-2*a**4 + 7*a**4 - 4*a**4).\nAnswer: 7303*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 12:48 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 123, -44, -209, -372, -533, -692, -849?\n\"Answer: p**2 - 170*p + 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 5*n**2 + 6*n + 4. Let k be d(-6). Suppose 3*c = 2 + k. Calculate the highest common divisor of c and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a74a71 + 1?\nAnswer: -a74a70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d. Give z(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1306.0928505 to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6468 and 281417829?\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 892287755?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7595.06 - -7704. What is n rounded to 0 dps?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -712*w + 360*w + f = -355*w - 8, 0 = 2*w + 5*f - 0 + 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 288002 (b) 2\/3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -87128 divided by -1174?\nAnswer: 43564\/587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 741367470 rounded to the nearest 100000?\nAnswer: 741400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -143*p**5 + 8*p**4 - 2059*p**3 + 239095*p**2 - 5?\nAnswer: -8580*p**2 + 192*p - 12354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, h: 4, g: 2}. Give prob of picking 1 z and 2 h.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3335933 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 15361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 12*q - 3. What is the units digit of g(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 4 = x. Suppose 2*h = -2*t + x, 2*h - 5*t + 20 = -h. Suppose h = -4*z - 0*z - 800000. What is z rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1368975401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21223 - 509321\/24. Let u(b) be the third derivative of -q*b**4 + 0*b + 0 + 12*b**2 - 7*b**3. What is the derivative of u(o) wrt o?\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1519399.62s?\nAnswer: 17.58564375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 477\/134?\nAnswer: 477\/134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*1*1)\/(7\/(-7)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 3.46 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 3*i**2 - 2*i)*(25 - 22*i**2 + 25 - 49).\nAnswer: 66*i**4 - 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -n - 7. Suppose 7*v = 3*q + 2*v - 40, -5*v - 20 = q. Suppose -q*h - 2*h = -287. What is the remainder when h is divided by n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3474, -1, 0.2, 2\/15, 5, 0, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.056 greater than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 1:51 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -71285 - -116914. What are the prime factors of w?\nAnswer: 103, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -13, -37, 1, -5, -4 in descending order.\nAnswer: 1, -2, -4, -5, -13, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*p**3 - p + 388 + p + 0*p - 389.\nAnswer: -55*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 3*l**2 - 5*l - 2. Let j be s(-4). Suppose f = 4*y - 29, 2*y + 3*f - 41 = -j*y. Solve 0*q - x - 11 = 2*q, 4*x = q - y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4017 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 7. Suppose -m*w + 4 = -88. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*v + 1830 + 1577 - 658 - 409 = 0 for v.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275)\/(sqrt(44)\/sqrt(4)))\/sqrt(5).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 1, -8, 3, 23, 13 in decreasing order.\nAnswer: 23, 13, 3, 2, 1, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - a**2 - 6 - 12)*(-4*a**2 - 3 + 3).\nAnswer: 4*a**4 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51 - 54. Let x be 6\/(-4)*4\/(-10). Which is the third smallest value? (a) 3\/2 (b) r (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 2161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 179 = 4*r - 3*u, -4*r + 5*u + 139 = 0. What is the remainder when r is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2714295709?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 3)*(-214 + 214 - 25*p) + 2 - 2 + 3*p.\nAnswer: -22*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -t**5\/20 - 17*t**4\/12 - 17*t**3\/6 - 8*t**2 - 16*t. Let c be r(-16). Solve -5*p + 4*h + 6 = c, -4*p + 3*p = 2*h + 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-24)\/(-16))\/(-3*(-1)\/114). Suppose 5*h + 3*z - 453 = -s, 3*z + 9 = 0. Let b = h - 74. Calculate the lowest common multiple of b and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1477 is divided by 74?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 4*l**2 - 6*l + 3. Let n(q) = q**2 - q + 1. Let x be ((-7)\/(-2) + -6)\/((-2)\/(-4)). Give x*n(h) + a(h).\nAnswer: -h**2 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 9 = u, 3*u + 507*l = 506*l - 11 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 15179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, -0.4, 1\/4, 2\/11, -13\/346?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-215)\/(-70))\/43*-3*4\/27\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -7. Let x be 2\/v*-177 + 3. What is the greatest common factor of 11 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 721667 (base 9) in base 8?\nAnswer: 1503335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*h - 3123 + 3279 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*r + 6*r + 174 = 0. Let y be 2\/(-5) - 2\/(-5). Solve y*j = r*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c6d0 + 1?\nAnswer: -1c6cf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.1, 1.1, 2\/11, 5\/23 in decreasing order.\nAnswer: 1.1, 5\/23, 2\/11, 0.1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -193 + 277. Suppose 26 + y = 2*j. What is the highest common divisor of 11 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -1.02. Put m, 1\/4, -1 in decreasing order.\nAnswer: 1\/4, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -0.01 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*l = -6*l + 611 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*h*l**2 - 85*h*l + 106*h + 6*l**2 - 27465*l + 4 wrt h.\nAnswer: 10*l**2 - 85*l + 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 7*p**2 + 8*p + 9. Let v be n(-6). Let z = 5581 - 5574. Which is the third smallest value? (a) z (b) -0.3 (c) 2\/3 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2 + 0*g**3 - 2 - 4 - 10*g**2 + 10*g - g**3. Let z be u(-11). What is the units digit of (z + -6)\/((-2)\/(-34))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/20)\/((-1186)\/68195)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -6*v + 4*v, 5 = -o - 3*v. Sort -854, 3, o in increasing order.\nAnswer: -854, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 62\/(-8) + (-5)\/20. Find the common denominator of -3\/10 and (-66)\/(-280) - m\/(-28).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 - -27.79. Let q = -0.01 - f. What is the biggest value in q, 0, -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*k**2 + 217*k**2 + 6 - 263*k**2.\nAnswer: -2*k**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 16. Let t = 12 + 9. Solve 6*f + t = 3*f - w*k, -k - 15 = 4*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/127 in -5122, 1\/4, -0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 5*b + 10. Let m(y) = 3*y - 8. Let v be m(4). Let p be g(v). Let h be (-10)\/p - (1 + 5\/(-3)). Is -1 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k + 15. Let n(f) = 5360*f + 23. Calculate o(n(l)).\nAnswer: 10720*l + 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppo when three letters picked without replacement from ooopopoo?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 229982 + 11725 = -11*x. What is the highest common divisor of x and 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 190, 1350, 9.\nAnswer: 9, 190, 1350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 4870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38 - -31. Let f be a*(2 + 20\/14). Let p(t) = -t**3 - 23*t**2 + 24*t + 4. Let v be p(f). Solve g - v = -g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -342842.413 rounded to the nearest 1000?\nAnswer: -343000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 342, -17, 121 in descending order.\nAnswer: 342, 121, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5714846?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 114 = 3*n, 4*n - 3*n - 110 = -2*h. Suppose -5*r = -6 - 24. Calculate the highest common factor of h and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*s + 1566587 = 263743. What are the prime factors of s?\nAnswer: 2, 8803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 925750096.\nAnswer: 2, 17, 43, 79151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53a412 (base 13) to base 4.\nAnswer: 13133230021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -o**6\/120 - o**5\/12 + o**4\/6 + o**3\/3 + 3*o**2. Let m = 105 - 64. Calculate the remainder when m is divided by w(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2313.19 * -2.\nAnswer: -4626.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2875626 divided by 5?\nAnswer: 2875626\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201 + 431 + 222 = -61*s for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2188 times 0.008?\nAnswer: 17.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 27, 3, 259, 0, 5 in increasing order.\nAnswer: -3, 0, 3, 4, 5, 27, 259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -122001021221210 (base 3) in base 4?\nAnswer: -202203322023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 679899458 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 9*x**2 + 10*x**2 + 4*x**2 - 21*x**2. Let c(h) = h. Determine c(d(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 4 - 5)*(0*v + 3*v + 0*v)*(3*v**3 + v**3 - 2*v**3) in the form k*v + o*v**2 + l + r*v**3 + a*v**4 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, d: 1, u: 5, j: 1, f: 3}. Give prob of picking 1 j and 1 f.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 84519 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 29*v**3*z**3 - 54*v**3 - 1099*v + 29529*z wrt z.\nAnswer: 87*v**3*z**2 + 29529","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2479 less than 27.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 5406768?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 33*p + 30. Let g(w) = -11*w - 10. Suppose 5*j - 17*j = -96. Let n(x) = j*g(x) + 3*y(x). What is the hundreds digit of n(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -11100101101001?\nAnswer: 11100101101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -82, 0.5, -0.5 in descending order.\nAnswer: 0.5, -0.5, -7, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - s - 3*s)*(-238*s + 1101*s + 413*s).\nAnswer: -5104*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 385342 and 2119381?\nAnswer: 4238762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1239, -1243, -1245, -1245?\n\"Answer: m**2 - 7*m - 1233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114659666*v + 114659671*v - 3*l = 55, 3*v - 8*l - 64 = 0 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -92 and 1\/17246 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -156, 226, 600, 966, 1324, 1674?\nAnswer: 2016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-1 + -6) - (0 - (-6 + -11))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f + 12*b, -4*b - 12 = -3*f + f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 415511 or 415541?\nAnswer: 415511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 740 = 4*m + 5*f, 17*m - 14*m + f - 544 = 0. Suppose 143*x = 155*x - m. What is the remainder when 174 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*r - 1198, 8*r - 5*r - 893 = 2*f. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {w: 13, a: 5}?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-2)\/4))\/(4\/(-8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*x - 39*x**4 + 51*x**3 + 21\/2*x**5 + 3 - 24*x**2.\nAnswer: 3*(x - 1)**4*(7*x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21890076 rounded to 2 decimal places?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 5956 - 1041 = 3*k, 5*z + 5*k = 8790. Suppose -20*v + 3207 = -z. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -3*n - 4*s, 0 = 5*n - 0*s - 2*s. Let t(f) = f**2 + 5. Let x be t(0). Let u be ((-2)\/x)\/((-4)\/5). Put n, u, -0.1 in ascending order.\nAnswer: n, -0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13123592 divided by -68\nAnswer: 192994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -96*d**3*g - 3*d**3 - d**2*g - 11*d**2 + d*g + 778*d - 163*g wrt d?\nAnswer: -576*d*g - 18*d - 2*g - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 574932679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 6, e: 4, s: 4}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.445 - -3.575. What is the second biggest value in -5\/4, 1\/6, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -61231.7653928 and -3?\nAnswer: 61228.7653928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -192*j - 129*j + 820*j to the form d*j + i and give d.\nAnswer: 499","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*p - 115*p = 426. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of 3*p**4\/2 + p**3\/6 + 26*p**2 + 4*p. Give u(1).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*6*sqrt(114)*1)\/((sqrt(540)\/sqrt(90))\/sqrt(9)).\nAnswer: -54*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 196 and 2722293?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 903 - -618. Does 33 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*j + 76 = -30. Solve -a + 2*v - 11 = -4*a, j*v - 8 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - b = -15220, 3*c + 22471 + 23165 = -5*b. Let h = c + 365135\/24. What is the common denominator of h and -79\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 4*y**2 - 2*y - 1. Determine i(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 2*j - 3*j**3)*(0 + 1 + 1) + 2*j - 2*j - 3*j**3.\nAnswer: -9*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6897, 7308, 7705, 8082, 8433, 8752, 9033?\n\"Answer: -s**3 - s**2 + 421*s + 6478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/6 - -1)*3. Suppose 25 = 114*s - 109*s. Suppose 2*o + 8 = 5*n - 25, -t*n + s*o + 23 = 0. What is the least common multiple of n and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2556150.1 to the nearest 1000.\nAnswer: -2556000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 3*g**4\/10 + 4*g**3\/5 - 3*g**2\/5 - 12*g\/5 - 53. Let r(i) = 0. What is i?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zdbqquqbbqdu. What is prob of sequence bbz?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 30*o - 109. Let v be r(4). Solve -2*z - j - 13 = -2*j, j = -4*z - v for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4*i + 17. Let n be l(-6). Let w be 58994\/(-91) - 2\/n. Let f = w + 1067. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 + 10*i - 15. Suppose 0 = 5*v + 16 + 24. Let g(c) = -c**3 + 8*c**2 - 4*c - 3. What is the least common multiple of y(v) and g(7)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 961\/7 + -137. Suppose 5*i - 38 = -5*d + 12, 0 = -3*d - i + 32. Suppose 2*h + 3*u - 3 = 4*u, 3*u + d = 4*h. What is the nearest to 2 in b, h, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 less than -2978.63035?\nAnswer: -2954.63035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -6013b31?\nAnswer: -6013b35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 40927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -315 by 315.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 7*g - 23. Let p(s) = -2*s + 8. Let u(l) = -3*c(l) - 8*p(l). Is u(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -29*p**2 - 19*p - 36. Suppose 16 = -15*l + 181. Let g(f) = -54*f**2 - 39*f - 71. Let c(d) = l*o(d) - 6*g(d). Factor c(b).\nAnswer: 5*(b + 2)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z**2. Let u be w(-1). Let r = -25 - -30. Solve 2*q = i - 2*i + 8, -r*i + 10 = u*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37*g**3 + 89*g**3 - 41*g**3 + 11*g wrt g.\nAnswer: 66*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14395.\nAnswer: 5, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*x + x. Suppose -2*u + 5*m = 11, 5*u + m = -x*m + 22. Find the third derivative of 2*s**6 - s**6 + 6*s**2 - u*s**6 - 2*s**2 wrt s.\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6*v + 15 = 0. Suppose v*b + 1 = 10, 3*t + b = 0. Let f(r) = 56*r. Let n be f(t). What is n rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92309 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169180303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 29*s - 33, 2937742*s + 2 = 2937743*s for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 3165323?\nAnswer: 3165326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*g - 607 = 671. Solve 130*v = 133*v - g for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1306733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -68 + 75. Let s = p + -7.066. Round s to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, 2\/9, 10, -0.4, -7, 0.1, -59?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-5616)\/192)\/(-39)*136\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 149 and 219179?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(-6)*(-36)\/6. Let q(d) = 2*d**2 - 5*d + 12. Is q(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2214, -2168, -2084, -1956, -1778, -1544, -1248, -884?\n\"Answer: r**3 + 13*r**2 - 2228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + sqrt(1300) + (sqrt(13) - (-2 + sqrt(13))*5) - (sqrt(52)*-2 + sqrt(52) + (-2 + sqrt(13) + sqrt(78)\/sqrt(6))**2)).\nAnswer: -80*sqrt(13) + 230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347666 is divided by 173524.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 (base 7) in base 9?\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 47*i + 790. Is l(23) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.09 in -13, -1\/7, -26, 0.01, 12\/5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40097?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5*(3 + -1)\/2. Let m = -13 + 15. Put f, m, 1 in decreasing order.\nAnswer: f, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166925041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 0. Let z be (-303)\/(-12) - (-21)\/28. Suppose d + m = z. Calculate the remainder when 47 is divided by d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 3:43 PM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4834 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 156 = -3*f. Let c = 31 + -18. Calculate the highest common factor of f and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v - 1. Let m be u(5). Let i be m\/6 + 21\/9. Solve -3*y - i*w = 0, 3*y + 2*w + 2 = -y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*w - 4005 + 886 = 0, -f = -6*w - 1061. List the prime factors of f.\nAnswer: 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -445 + 446. Let d(q) = q**2 + 15*q - 13. Let w be d(j). Let b(y) be the first derivative of y**3\/3 - 2*y**2 + 2*y + 1. Give b(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**3 - 99*y**2 - 267*y + 112. What are the prime factors of n(-47)?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 f when two letters picked without replacement from ffsssaaffsatafsfff.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -1125?\nAnswer: -1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -684 + 860. What is the greatest common divisor of b and 1320?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224900 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 7*v**2 - 2*v. Let s be k(5). Calculate the highest common factor of 15 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w - 61. Let g be h(-19). Calculate the highest common divisor of 75 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26796 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -114181837.21 to the nearest one thousand.\nAnswer: -114182000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 6*j)*(-1 + 2 + 1 + 2*j) + (0 + j + 0)*(0*j - 3*j + 4*j).\nAnswer: -11*j**2 - 12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 79*g**3 - 6*g**2 + 16*g - 2. Let x(a) = 157*a**3 - 14*a**2 + 30*a - 5. Let y(z) = -5*j(z) + 2*x(z). Find the second derivative of y(i) wrt i.\nAnswer: -486*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 609*t - 1297. What are the prime factors of u(13)?\nAnswer: 2, 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(19) - (sqrt(931) - sqrt(19))) + sqrt(19))*-2 - (sqrt(76)*-1 - sqrt(76))\/sqrt(4)) + 3.\nAnswer: 3 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/4 and -31\/3622?\nAnswer: 7244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -27*r + 4. Let v(z) = -620*z + 93. Give 4*v(g) - 93*y(g).\nAnswer: 31*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -321*n + 239 + 4021 = 1099*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 1)*(1 - 2 - 1)*(-3*c + c + 0*c)*(-116 + 116 - 81*c**4).\nAnswer: -1296*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x**3 - 321*x**2 + 314*x + 1920 = 0. Calculate x.\nAnswer: -2, 3, 320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12474498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/102*81\/(-126)*35\/30\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 128000 and 2880?\nAnswer: 1152000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 279.324 days in nanoseconds?\nAnswer: 24133593600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32)\/sqrt(64) + sqrt(8))\/sqrt(4).\nAnswer: 5*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -4*a**3 - 4*a**2 - 15*a - 46. Give j(-3).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i**2 + 3*i**2 - 2*i**2)*(-5*i + 10*i**2 - 3*i**2 - i).\nAnswer: -28*i**4 + 24*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009 rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*d + 1540 - 3421 - 2304 = 0. Let w = 337 + -176. What is the remainder when w is divided by d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q*q**(-20)))\/(q*q**10*q)*(q*q\/(q**(-2\/7)\/q))\/q*q*(q*q*q\/(q\/(q\/(q\/(q\/(q\/(q**17\/q*q)*q)))*q)))\/q*q assuming q is positive.\nAnswer: q**(219\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbiiibisib. What is prob of sequence is?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4\/10319 - -1351717\/185742. Calculate the common denominator of h and -13\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 8:24 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/7 (b) 6\/7 (c) 8745 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25238 - 12839. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w**2 - 9*w - 45. Let b(n) = -2*n**2 + 4*n + 23. What is 9*b(x) + 4*r(x)?\nAnswer: -2*x**2 + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -341245.5436378 and 0.47.\nAnswer: -341245.0736378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1668875, -340 in decreasing order.\nAnswer: 0, -340, -1668875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*c - 4*z + z + 220, 75*c - 78*c + z - 73 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, a: 1, l: 2, b: 4}. Give prob of sequence al.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -131429774 divided by -2\nAnswer: 65714887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millennium in years?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/4)\/(((-78)\/12)\/13). Let s(c) = -c - 20. Suppose 0 = 4*l - 2*b + 56, 2*l = 3*l - 4*b + 28. Let d be s(l). Put -1, w, d in descending order.\nAnswer: w, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000025894 to 7 decimal places.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 7*r**2 + 5*r - 5. Let u be h(-6). Let n be (u + 2)*(-1)\/15. Let l = 1 + -1. Which is the closest to l? (a) 2\/11 (b) -1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56403815*0.5\nAnswer: 28201907.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 21. Let i = -4220029.999956 + 4220039. Let p = s - i. Round p to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/112*-16 - ((-25)\/1 - 0).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/26 + ((-11480)\/364 - 0).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n**2*o**3 - 54353087*n**2*o**2 - 9281428*o**5 wrt o.\nAnswer: 12*n**2 - 556885680*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 974*z**2. Let i(k) = -3*k**2 - 83. Determine i(m(r)).\nAnswer: -2846028*r**4 - 83","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 5*m**3 - 11*m**2 - 49*m + 87. Calculate p(6).\nAnswer: 477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14675*k - 14672*k - 16 = -4*v, -2*v + 34 = -5*k for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, 1, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90293, 90287, 90281, 90275?\nAnswer: 90269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -20 (b) -1\/5 (c) -102 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*sqrt(153))\/(-3*sqrt(27)\/sqrt(3)).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 118 and 12726.\nAnswer: 750834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(-10*j + 16*j - 3*j)*(-49 - 38 + 17).\nAnswer: 210*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 87 + -20. Suppose -5*v = -f - 18, -v + 2*f = 3*f. Suppose 5*p - v*c - 100 = 0, -p + 5*c - 6 + 4 = 0. Calculate the remainder when o is divided by p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9617942758 and 0.1.\nAnswer: 9617942758.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vy when two letters picked without replacement from {v: 3, y: 1, q: 1, o: 2, z: 8, h: 5}.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 33598 = -j, 126*q - 122*q + 4*j - 26872 = 0. Is q a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 737, 1686, 2635, 3584, 4533?\nAnswer: 5482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 6*m**3 - m**2 + m - 1. Let n be p(1). Suppose -n*s = -76 - 129. What are the prime factors of s?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62534.\nAnswer: 2, 31267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 171117 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 9, n: 9}. What is prob of picking 3 i and 1 n?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 54*k**2 + 5*k + 12. Let d be q(6). What is the hundreds digit of (-16)\/6*(-2 - d\/24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 42?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2124*l**2 - 1 - 1911*l**2 + 2 + 19*l - 1 as p*l + x*l**2 + d and give p.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 6*q**2 + 8*q - 2. Let s be o(6). Let k = s + -7. Calculate the smallest common multiple of k and 1.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 a when three letters picked without replacement from qmmqqqmqa?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 3*s**2 - 3 + (2*s - 3*s + 3*s)*(2 - 2 - 2*s) + 3*s - s**2 - 3*s + 2*s**2 - 2*s**2 - 2*s**2.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 226 = -47*q - 346 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3 = -4*q. Suppose -24 = q*n - 18. Let z(l) = -l - 2. Let p(u) = -6 - 3*u + 10 - 9. Determine n*p(a) + 5*z(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -43627, -87250, -130875, -174502?\n\"Answer: -j**2 - 43620*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*f + 1111 = -345. Let m(j) be the first derivative of 4\/13*j - 2\/39*j**3 - 1\/13*j**2 - f. Factor m(c).\nAnswer: -2*(c - 1)*(c + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**3 + m**3 + 7*m**3 - 5*m**3 + 0*m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 + 928*k + 107648.\nAnswer: 2*(k + 232)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -f4e (base 16) to base 6\nAnswer: -30050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-85904)\/(-119) + 8\/68. Calculate the greatest common divisor of s and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3235*m + 3236*m - 2468 = -4*n, -5*n - 3*m + 3092 = 0. What is the remainder when n is divided by 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 2*b**2 - 14*b - 30. Is s(-3) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*x**3 + 0*x**2 + 0*x**2 + 37*x**3.\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 + 7*p + 13. Suppose -19 + 39 = -5*t. What is the tens digit of o(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y**3 + 6*y**2 - 23*y - 23. Let v(x) = x**2 - x - 1. Let m(s) = -r(s) + 6*v(s). Let o(l) = -l**3 + 6*l + 6. Determine -6*m(j) + 17*o(j).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 + -18. Suppose 30*n - 28*n = s. What is the third derivative of -n*t**3 + 2*t**2 + 2 - 6 + 4 wrt t?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) 27 (c) 5\/8 (d) 5 (e) 6 (f) -4 (g) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5855, 11711, 17567?\nAnswer: 23423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 2. Let s(x) = -x**3 + 2*x**3 - 4*x**3 + 0*x**3 + 5. Determine 10*q(z) - 4*s(z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -9*a - 2. Let u(b) = -4*b - 94. Calculate d(u(l)).\nAnswer: 36*l + 844","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105671 is divided by 105578?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 7*g = 0. Suppose g*t = -3*t + 12. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s - 2*s - 3 + 4*s. Let d be h(6). Suppose -2*r + 13 + d = -4*n, 2*r - n - 10 = 0. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 130238 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 2 = -c + 2*z, z = 3*c + 7. Let i be (-5 - -1 - -5) + c. Let o = -6 + 1. Sort 5, o, i in descending order.\nAnswer: 5, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161743049?\nAnswer: 13, 17, 731869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x - 4*p - 36, -4*x - 6*p + 3*p = -4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -665*w**6 - 677*w**2?\nAnswer: -79800*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -23 - 112*x + 8 - 132*x. What is the units digit of q(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 128422464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45 - -54. Suppose -3*h + 1 = 2*z - k, z + 6 = 4*h. Solve 0 = 2*t + z*t + 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (22 + 6 + 1)*(267 - 267 + 16*k) - 4*k + 3*k - 2*k in the form a + q*k and give q.\nAnswer: 461","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(156) + sqrt(156)*2 + sqrt(156))*5 - -3*sqrt(156)*2)\/(((sqrt(24)*-1)\/sqrt(2) - sqrt(12)) + sqrt(24)\/(sqrt(2)*-1) + sqrt(12)))**2.\nAnswer: 2197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-143840)\/15 - 1 - (-3)\/9. Let l = f - -172663\/18. What is the common denominator of l and 2\/(-8) - (-167)\/36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5 = -0*n. Suppose 0 = -0*k - k + 3*o + 1, -n*k = -5*o - 5. Let l(a) = 6*a + 1. What is the remainder when 26 is divided by l(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 922.\nAnswer: 368.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -11*c. Let d(n) = -16118*n. Give d(g(i)).\nAnswer: 177298*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = u - 8, 45*u + 4*s = 47*u - 8 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49867353?\nAnswer: 3, 1846939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1*sqrt(612))**2.\nAnswer: -36*sqrt(17) + 621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243)*4 + (sqrt(15)\/sqrt(45))**2)*-1.\nAnswer: -36*sqrt(3) - 1\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 58689?\nAnswer: 58689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1446*j + 1860*j + 1539*j + 3036*j.\nAnswer: 4989*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-102)\/272 + (-417)\/(-24)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 3:42 AM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 480 and 765?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -12, -0.3, 4, -1\/2, -4\/7, -22?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151155942?\nAnswer: 2, 3, 7, 17, 269, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 42821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddgppgddcc. Give prob of sequence dgcg.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 298*j. Let o(z) = -3156749*z - 1 + 3156753*z + 1. Determine p(o(i)).\nAnswer: 1192*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 1\/26, -6 in ascending order.\nAnswer: -6, -0.3, 1\/26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 1 - 7. Let x(v) = v - w - 1 + 5. Suppose -4*b - q = -3, 3*b = 2*b - 3*q - 2. Let g(n) = -1. Give b*x(r) + 3*g(r).\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**2 + 36*n - 5. Determine z(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 868, -129 in descending order.\nAnswer: 868, -6, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 16550.88 nanograms in grams?\nAnswer: 0.00001655088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15638716*t**6 - t**2 - 1663*t - 1016.\nAnswer: 1876645920*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -i**5\/10 + i**4\/6 - 5*i - 8. Let p(w) be the first derivative of y(w). Factor p(g).\nAnswer: -2*g**2*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003972945 to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 256.03 + -254.8433. What is l rounded to two dps?\nAnswer: 1.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z - 4. Let p be t(-7). Suppose 4*g - g = -3*q - p, 4*g + 16 = 0. Find the second derivative of -u + 4*u - 5*u**3 + q*u wrt u.\nAnswer: -30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(8\/5))**15\/(n*n**(-30))**(2\/129))**(22\/7) assuming n is positive.\nAnswer: n**(69388\/903)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 4*i - 1. Let j be a(4). Let g be (2\/(-4) - j)*10. Let o be (g + -7)*(-7)\/2. Solve -5*n = c - o - 7, 0 = -4*c + 4*n - 16 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3151026.\nAnswer: 2, 3, 31, 5647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3135339*w**3 + 2768522*w**2.\nAnswer: 18812034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1211 + 1209 + 4*a**2 - 2420.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 10. Suppose -g*r + z + 407 = 4*z, -3*z = 15. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*w + 625 - 2137 = 0 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 0)*(-1 - (-28)\/20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -547 + 1041. Let j = 497 - d. What is the fourth smallest value in 0, j, -3\/8, 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 58*s**2 - 312*s + 123. Determine d(-63).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (45\/(-21))\/(44\/(-77))*(-8)\/2\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10268, 10208, 10148, 10088, 10028?\nAnswer: 9968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60*v + 151 - 151)*(-v + v - 3*v**4) + 10*v**5 - 8*v**2 + 8*v**2.\nAnswer: -170*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 2*t**2 + 2*t - 2. Suppose 2*f + x + 17 = 6*x, -4*f = x - 21. What is the remainder when f is divided by d(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8153 (base 13) to base 12\nAnswer: a385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*k = -21*k - 5*w + 26, 4*k - 3*w = -20. Let f = -644 + 643.93. Which is the closest to f? (a) -4 (b) -19\/5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5680070561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 8*b**2 + 1. Let d(a) = 129*a**2 + 11. Calculate 2*d(s) - 22*t(s).\nAnswer: 82*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 38779736279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqb when three letters picked without replacement from {b: 1, q: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219*a**2 + 219*a**2 + 1049*a**3 - 1062*a**3 - 44*a.\nAnswer: -13*a**3 - 44*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3493 + -2967. Is k greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1524\/48 - 33)*3*2\/(-165)\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**2 + 5*p - 189 - 5*p + 189.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 341 + -342.89. Let d = -1.79 - t. Let y be 3*(-2 - (-56)\/30). Sort y, 0, 3, d in decreasing order.\nAnswer: 3, d, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 27, 0.06, -15, -1\/6?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 + 5*o**2 - 2*o**2)*(-3*o**2 + 5 - 5).\nAnswer: -15*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 158803?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 1:40 PM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-3) + (-2108)\/(-204). Solve 6*v = 5 - c for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 5*z + 57 = 0. Calculate the greatest common factor of 361 and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*o + 4. Let j = -1 - o. Is 5*13 - (0 + j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/4 - (2 - 8). Suppose 12 = 4*s + 3*v, 2*v + 11 = -c*s + 33. What is the units digit of (14\/(-3))\/((-4)\/s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + (-8)\/(-5))\/((-3)\/180). Solve 0 = 2*d + 4*v + p, -5*d + 5 = -10*d + v for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -1 + 3 - 2 + 3*u**2. Let m(q) = -3*q**2 + 5*q - 5. Let s(b) = b**2 - 3*b + 3. Let l(r) = -3*m(r) - 5*s(r). Give h(l(a)).\nAnswer: 48*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2044147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 140 and 202.\nAnswer: 14140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 382 (base 9) to base 16.\nAnswer: 13d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -5*s**2. Let p(b) be the second derivative of 19*b**3\/6 + 4*b**2 + 986*b. Give p(r(d)).\nAnswer: -95*d**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l**5 - 12317*l**4 - 98886*l**2.\nAnswer: -120*l**2 - 295608*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f + 2*b + 18 = 14*f, f - 1 = -b for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 145*c**3*s**2 + 115*c**3*s - 2*c**3 - c*s**2 - 10650*c + 2 wrt s?\nAnswer: 290*c**3*s + 115*c**3 - 2*c*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 3*x - 91990 + 22615, 3*c - 69417 = -3*x. List the prime factors of x.\nAnswer: 2, 5783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*y - 4*y + 21*y)*(-10*y**4 - 199 + 199).\nAnswer: -480*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -37, -5, -2 in increasing order.\nAnswer: -37, -27, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 15 + v**2 - 33 + 24 = 0 for v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o + 24 = 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 1 - (10 + 23 + -34)) + 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 869 and 4898?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -688, -1153, -1618, -2083, -2548?\nAnswer: -3013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2326180 divided by -5?\nAnswer: 465236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0346827 + -2.1344727. Let o = r - -2.1. What is o rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 17*d**2 - 34*d - 102. Determine s(-5).\nAnswer: 493","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3115*l**2 - 7461*l + 7461*l - 3118*l**2 + 6251*l**2.\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*o + 43*o + 48 = 0. Let s be o*(3 + 40\/(-12)). Suppose -5*p - 5*x + 155 = 0, -7*x = p - s*x - 35. List the prime factors of p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*i**2 - 21*i**2 - 21*i**2 + 1128*i - 2284*i + 1156*i.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 292 + 254. Is i a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l + 2. Let c(w) = w**3 + 8*w**2 - 7*w + 9. Let b be c(-9). Let m be x(b). Solve -4*v - 9 - m = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-22) + 33995\/(-385) + (-213)\/497.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 - -39.1919729?\nAnswer: 39.1619729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (94\/68)\/1 - 20\/(-170).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1667 + 1652. Let s = 0.1 + -0.4. What is the fourth smallest value in 5, -4, t, s?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15.7*0.2\nAnswer: 3.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 12*k - 15. Let n be j(10). Which is the biggest value? (a) n (b) -0.4 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-59)*(-253)\/(-759).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 5011812.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/3 + 16012*w + 57939038\/3.\nAnswer: -2*(w - 25169)*(w + 1151)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 1. Let q be c(1). Let p be (2 - q)\/(4 + -6). Let j(x) = -4*x**3 + x + 1. List the prime factors of j(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 6 = -6. Put 14, u, 0.3 in ascending order.\nAnswer: u, 0.3, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -6*a + 2. Let m(z) = -36*z. Give b(m(p)).\nAnswer: 216*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nz when two letters picked without replacement from zbzbzgbngp?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -81743 times 1658\nAnswer: -135529894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = -q - 2*g, g + 95 = 2*q - 176. Suppose -20*v + 15*v = q. Which is bigger: v or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/((-24 + 4)\/(-4)). Suppose f = -5*t - 4*r + 19 + 11, 0 = -t + 2*r - 8. Solve -d + 5 = t*o - 5*o, 1 = 3*d - 2*o for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)*1)**2*6 + (-3*sqrt(405)*1)**2 + (sqrt(405) + 3 + (sqrt(405) - sqrt(405)*-1)**2 - (sqrt(405) + 3 + sqrt(405) + 2)) + -4.\nAnswer: -9*sqrt(5) + 7689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**4 + 2*s**2. Let z(y) = 25*y**4 + 10*y**2 + 2*y - 2. Let u(q) = 5*v(q) - z(q). What is the second derivative of u(i) wrt i?\nAnswer: -360*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -263282 equal to -263282?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*1 - (-16)\/(-7). Let w = 12.6 + -12. Let i = 0.6 - w. Which is the second biggest value? (a) s (b) 3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 89, 1, -10, 2, 4 in descending order.\nAnswer: 89, 4, 2, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 2*h + 41629 = 41633, -4*h = 5*u - h - 18 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 5*r**3 + 42*r**2 + 14*r + 25. Give s(0).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 0*p**2 - 4 - 1\/54*p**6 + 1\/36*p**4 + 0*p**3 + 0*p**5 + 0*p. Let y(u) = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g**5\/7 + 2160*g**4\/7 + 58400*g**3\/7 - 64120*g**2 - 87612*g + 143080 = 0. What is g?\nAnswer: -511, -35, -2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 5*o. Suppose -2*l + 32 = -4*n, 0 = 2*l - 2*n - 34 + 4. Let i(c) = l*c + 0 + 0. Let k(p) = -8*a(p) + 3*i(p). Let r(u) = -u. Give k(r(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 249652127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**3 - 12*q**2 - 29*q + 118. Let i be v(5). Solve 35 = i*s - 13 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1130196*r**3 - 151286*r**2 - 66*r wrt r?\nAnswer: -6781176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -270, -469, -666, -861, -1054?\nAnswer: -1245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (20 - 4) + (25 + -22 - 21)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -84.8 + 123. Let i = 35.489 - s. Round i to one dp.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.992 - 5.89. Suppose -z - 2 = 2*f - 0, 5*z = -5*f. What is the second biggest value in z, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -363 = 2*w - 359. Which is the biggest value? (a) w (b) 2\/17 (c) -0.069\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*4*(-1)\/2. Let i = 13 - 18. Let j = -149\/2 - -73. What is the smallest value in o, i, j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-88)\/20 + 4)*35\/(-154)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1484 + -86b04?\nAnswer: -85650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, 2, -5, 18, -8 in increasing order.\nAnswer: -56, -8, -5, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -4*t + 29. Let q be j(6). What is the third derivative of 3*k - 6*k**2 - 102*k**5 + 129*k**q - 3*k wrt k?\nAnswer: 1620*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4*-2*(sqrt(26) + sqrt(416)))\/(sqrt(14)\/(sqrt(7)*-1)*4).\nAnswer: -5 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - (0 - 12)\/(-4). Let q be (-559)\/39 + l\/(-6). Let p(j) = -21*j + 20. Is p(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 48. Let g be t(0). Suppose 0 = 4*z - 12, 5*a + 5*z - 87 = g. What is the greatest common divisor of 72 and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 2 - 2. Let t = 3 - 3. Sort -4, t, u in decreasing order.\nAnswer: t, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/20)\/((-8)\/(-180))*108\/81.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4501, -4766, -5033, -5302, -5573?\nAnswer: -5846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from {p: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9222763?\nAnswer: 11, 47, 17839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 826911.4 centimeters to micrometers.\nAnswer: 8269114000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*0.065.\nAnswer: -0.0065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 + 72*q - 621*q + 2*q**2 - q**2 + 72*q.\nAnswer: q**2 - 477*q + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 394 a factor of 50042728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 874 - 869. Which is the third biggest value? (a) y (b) 8 (c) -7\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**2 + 114*j - 3101. What is x(-77)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-36)*-8*-6)\/(2\/3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2139 + 356*t - 55*t + 2139.\nAnswer: 301*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 1) + 0 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 27 - 9 = 0. Let q(n) = -5*n + 4. Let m be q(b). Suppose 4*x - g = 2*x + 51, m = 2*x + g. Solve 2*a - 7*a + x = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -568*u + 72. Let y = -515 + 514. What are the prime factors of r(y)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -528 = 10*b - 178. Let j = b + 44. Let c be j*(-56)\/(-258) + -2. Is c >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5110 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2. Let k be 10\/5 + -2 - -4. Let m(n) = 8 + k - n + 4 - 15. Let u(q) = -5*q + 4. Let p(v) = 4*m(v) - u(v). Determine z(p(x)).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -8*z**3 - 7*z**2 - 1. Let f(x) = 3*x**3 + 2*x**2. Determine 7*f(l) + 2*v(l).\nAnswer: 5*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 12 = 0, 0 = 2*y + 4*d - d - 1001. Let a(r) = -60*r - 20. Let s be a(5). Let c = y + s. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 8*s**3 + 5*s**2 - 19*s + 9. Let z(x) = 15*x**3 + 9*x**2 - 36*x + 16. Let b(v) = 11*f(v) - 6*z(v). Determine b(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 6505350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 2*s**2 - s - 6. Let t be m(3). Solve t*q = -2*q + 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 3*w + 19, 4*m - 2*m + 5 = -3*w. Suppose 0 = 2*d - j - 16, 5*d - 3*j = 24 + 18. Let g = d + -2. Sort m, -4, g.\nAnswer: -4, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -440*k - 3. Let j be m(-3). Suppose 0*c = 3*c - j. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6, 24, 88, 186, 318, 484, 684?\n\"Answer: 17*g**2 - 21*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5490 and 175230.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 4*i + 4*n, -992 = -3*i - 4*n - 928. Calculate the least common multiple of -236*(5\/(-2) + 2) and i.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 53 = 5*z, 27*y + 42 = 30*y for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 840486 divided by -949?\nAnswer: -840486\/949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**2 + 68*p**2 + 53*p**2 + 46*p**2.\nAnswer: 167*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 31 = 7*u. Suppose c + 2*c + 3*j = 543, -897 = -u*c + 3*j. Calculate the remainder when c is divided by 46.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 19*l + 24. Calculate the remainder when c(0) is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270 is divided by 83.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34.8 + -35. Put r, 1\/8, 5 in ascending order.\nAnswer: r, 1\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 612, 4809, 16202, 38391, 74976, 129557, 205734?\nAnswer: 307107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 69, -5, 0.06, -207, 3 in descending order.\nAnswer: 69, 3, 0.06, 0, -2, -5, -207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -3, -1223 in decreasing order.\nAnswer: 2, 0, -3, -1223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p + 2*p + 3*p + (4 + 4 - 4)*(-p + 4*p - 4*p) in the form f*p + h and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1299 divide 1807848925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 w, and 2 m when four letters picked without replacement from ueemiemimwm?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10 + -8 + (4 - 1). Suppose 4*t + k*j - 40 = 0, 2*j = -5*t + 4*t + 10. Find the second derivative of -t*i + 0*i + 0*i + 12*i + 6*i**3 wrt i.\nAnswer: 36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -28 and -464281588?\nAnswer: 464281560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -41bb (base 12) in base 14?\nAnswer: -28a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 12:36 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(((-144)\/1867100)\/2). Let r = 25940 - b. What is the common denominator of r and -1\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 14 + 0 + -7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11465660?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54*r + 54*r + 33*r**2)*((2*r + 5*r - 5*r)*(-3*r + r + r) + r**2 - r**2 + r**2).\nAnswer: -33*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of 0*n**2 + 0 + n**4 - 28*n + 0*n**3 + 29\/20*n**5. Find the third derivative of v(u) wrt u.\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 26*k**3 + 3*k + 9. Let z(u) = 79*u**3 + 8*u + 28. Suppose 0 = 2*j + h + 2, h = -4*j - j - 11. Let a(l) = j*z(l) + 8*m(l). Differentiate a(i) wrt i.\nAnswer: -87*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 4*a = -12, a = -5*g + 170 - 185 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = g + 31. Solve -5*c + g*c + 2*t = 5, 5*c - 18 = -3*t for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/2)\/(12 - 15)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = p + 12. Suppose m + 0*z + z - 9 = 0, -4*m + 40 = 5*z. Suppose m*u - q = -29799995, 5*u + p*q + 29800015 = -0*q. Round u to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y + 135. Let w(d) = d**2 - 7*d - 56. Let f be w(14). Let p be n(f). Solve -p = -10*c + 31 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-10)*(-140)\/28?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/20*-2 - (-176)\/40. Let p(y) = 17*y - 16. What are the prime factors of p(b)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2296240138.\nAnswer: 2, 1543, 744083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 3 - 2 - 32*t**3 - 32*t**3 as l*t**2 + p + s*t**3 + q*t and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d\/(d\/d**(-7)))\/d)\/(d*d**(-5)))\/(d*d*d**0*d)**35 assuming d is positive.\nAnswer: d**(-108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 497019?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 220, 1098, 2434, 4228, 6480, 9190?\nAnswer: 12358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p, 4*s - 1 = 5*p + 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 379601\/16 - 23717. Let s = 541\/48 + c. Let b = 1087 - 3223\/3. Find the common denominator of s and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 408\/(-41) - ((5 - -9) + -24).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 15*s**2 + 12*s - 12. Determine t(-5).\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 242 - 101151011?\nAnswer: -101150325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 810906?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 7*j + 17. Let k(n) = n**3 + 3*n**2 - 10*n - 5. Let w be k(-5). Calculate t(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 0, 448 in increasing order.\nAnswer: -26, 0, 448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-2)*16\/(-13 - -5). Let v be (i\/(-6))\/(24\/72). Solve v*m - n = -15, -2*m - 4*n = -m - 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206 (base 13) in base 10?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 + 30*w - 57*w + 48*w + 2*w**2 + 35*w.\nAnswer: w**2 + 56*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -3*n, -4*n = -16*p + 17*p + 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -b + 7. Suppose -5 = -d - b. Which is smaller: d or -1\/31?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 141 divided by 1\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r - 3*r**2 + 0*r - 1)*(-2262*r**2 + 4530*r**2 - 2243*r**2 + 13) to the form h*r**4 + w*r**3 + l*r + t + x*r**2 and give h.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2717*c = -126*c - 209871 for c.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3 = -0. Suppose -i*m - 6 = -12. Suppose 0 = m*z - 0*z - 46. What are the prime factors of z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 13 - 25 = -4*k, 0 = 2*v - 3*k - 11. Suppose 5*x - 8 = 4*n, x = -0*x + n + 2. Suppose x = 2*r - 1 - 11. Solve -18 = v*t - r for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 - (-5 - 62) - (0 + -6).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1181515.\nAnswer: 5, 19, 12437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -357929, -357948, -357977, -358022, -358089, -358184, -358313, -358482?\nAnswer: -358697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2 - 3*y - 1. Let a(c) = -2*c - 29. Let b be a(-16). Let g(u) = 2*u**2 - 4*u - 2. Determine b*r(s) - 2*g(s).\nAnswer: 2*s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133230 + -11000?\nAnswer: -210230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 378920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 129 and -2507.\nAnswer: -323403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8b + 5c29?\nAnswer: 5b7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-10)\/(-5))*-1*26*(-19)\/(-5928).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.4 * -0.18.\nAnswer: -0.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*f = 19. Let n(j) = -j**2 + 19*j - 1. Let b be n(f). Which is greater: 2\/15 or b?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 3027129\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17096752?\nAnswer: 2, 641, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-49)\/(-21)*10*15\/25*-1\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 87 + -259\/3. Suppose -21 - 12 = -11*c. Factor 0 - 4\/3*i + y*i**4 - 2*i**2 + 0*i**c.\nAnswer: 2*i*(i - 2)*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*y + 36 = -2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -101, -4\/7, -0.3, -2\/1981 in descending order.\nAnswer: -2\/1981, -0.3, -4\/7, -5, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 97 - 102. What is the closest to 1 in -1, b, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.043 rounded to one dp?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of j**8\/168 + 2*j**5\/15 - 10*j**2. Find the third derivative of u(m) wrt m.\nAnswer: 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d - d - d**2)*(0 + 0 - 1) + 4*d**2 + 0*d**2 + 2*d**2 + 2*d**2 + 8 - 8 to s*d**2 + k + g*d and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -204103111?\nAnswer: 204103110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440 is divided by 98\/140*35*24\/7.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from sooooosssooos?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275 is divided by 39.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189*f - 390747 = 466767 + 631806. Is f a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 7*o. Let s(v) be the third derivative of -v**5\/20 + 8*v**2. Determine u(s(z)).\nAnswer: -21*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.5, 2\/11, -0.5.\nAnswer: -0.5, 2\/11, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 13078958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 + 5 = 3*n. Suppose j = 3*j + 4*o + 38, 4*j + 2*o = -46. Is j smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u - 73. Let d(c) = c - 3. What is 4*d(n) - 2*r(n)?\nAnswer: 6*n + 134","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 5*x - 15, 0 = 3*u + 5*x + 1 - 26. Is 19 a factor of 3 - 21\/(-3)*u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (246\/(-30) + 8)*-2.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2 - 28. Let a(d) = -d**2 + 14. Let u(j) = -11*a(j) - 6*g(j). Differentiate u(q) wrt q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2383*z - 1094*z - 623*z + 318*z + 540*z.\nAnswer: -3242*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24332, -24312, -24292, -24272, -24252, -24232?\nAnswer: -24212","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: Let w(p) = -16*p + 10. Let x(a) = 9*a - 1. Let u be x(1). Let o be w(u). Round o to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -2*n**3\/3 + 7*n**2\/2 + 54*n + 1. Suppose 3*g = 4*s + 1, -5*g - 4*s - 3 = 38. Let c(m) = -m + 1. Determine g*c(w) + f(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(133)\/((sqrt(7) + sqrt(14)\/sqrt(2))*2).\nAnswer: -2 + sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a micrometer in nanometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (12 + -14) - -13?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 673*o - 3331. Let z be i(-5). Solve -13*u - 44 = z*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 6 = -r - 1, -3*w + 3*r + 30 = 0. Put -6, w, -3, -1 in increasing order.\nAnswer: -6, -3, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 at most 191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7040 is divided by 638?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i + 2. Let a be g(-5). Let d = -61 + 50. Let h = a - d. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22 * 60636.2.\nAnswer: 1333996.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 11 - (-18 - -16 - 28)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20051807609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 17*q + 21. Determine v(8).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8069854 to the power of 1\/3, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 45 = 41. Suppose 3*d + 19 = -h*x, -5*d - 4*x + 2*x = 27. Let l(u) = u**3 + 6*u**2 + 7*u + 4. What is l(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 5770, 1 in decreasing order.\nAnswer: 5770, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -164306825 divided by -4440725\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1087142 to the power of 1\/3, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 16 - 32*n**2 + 335*n**2 - 15.\nAnswer: 303*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*-1 + 6 + 1. Let o(n) = -n + 8. Let s be o(j). Suppose 2*v + s*l - 14 = 6*l, -4*l = 3*v - 1. Which is the third biggest value? (a) 2 (b) 5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -176*v**4 - 220 + 5*v**3 + v + 0*v + 224 + 168*v**4 to u*v**2 + c*v + z*v**4 + p*v**3 + d and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -3022778\nAnswer: 906833.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-12)\/(-16))*(9\/26)\/3.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1566, -116, -2\/9 in decreasing order.\nAnswer: 1566, -2\/9, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**4\/17 - 63824*b**3\/17 + 1532598*b**2\/17 - 10538180*b\/17 + 22355200\/17 = 0. What is b?\nAnswer: -31936, 5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 28 (b) -1\/2 (c) -4 (d) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/(-6))\/(15\/40). Let g be (-4)\/8 - (-2)\/n. Calculate the common denominator of (-63)\/33 + -2 - g and 10\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 876188 and -65.7.\nAnswer: -57565551.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -0.1 (c) -2\/7 (d) -7 (e) 18.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 10*j + 747. Calculate the remainder when k(-44) is divided by 182.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 10*q**2 - 7*q - 12. Let l be o(10). Is -83 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 32740*l - 294705. Calculate y(9).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4892?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8176973.994 + -1.\nAnswer: -8176974.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h + 7. Let g be p(7). Suppose -20 = g*o - 26*o. Suppose 2*r - 3*r = 0. Solve r*f + o*f - 12 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11027 - 4?\nAnswer: 11023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1692857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22) + (sqrt(3168) - sqrt(3168)*2) - sqrt(22))\/(1*sqrt(11)*2) + (0 + (sqrt(4)\/sqrt(2) - sqrt(2)) + sqrt(2) - sqrt(48)\/sqrt(6)) + -3)**2.\nAnswer: 42*sqrt(2) + 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63819?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0 + 2)*(-8*v + v + 6*v)*(-209*v + 1413*v - 3 - 467*v - 118*v) in the form g*v + u + m*v**2 and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*o*y**4 + 8364*o*y**3 + 6370*o*y**2 + 2*o*y - 86*y**4 + y**3 + 29*y**2 - y + 2 wrt y.\nAnswer: 48*o*y + 50184*o - 2064*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m + 9. Let p be b(-5). Let d(x) = -114*x**3 - x**2 - 3*x - 1. Is d(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15079 + -15079.00006601. What is o rounded to 6 dps?\nAnswer: -0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186 = -4*i + 386. List the prime factors of i.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -133766 and -4.\nAnswer: -133770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5.6 in 3, -1, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 920, 3664, 8234, 14630, 22852, 32900, 44774?\nAnswer: 58474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -11*o - 8. Let d be m(-3). Suppose 3*b - 71 = 5*f, -2*f = -4*b - 0*f + 76. Calculate the remainder when b is divided by 3\/((d\/(-5))\/(-15)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*n - 12 - 11 + 37*n + 34 - 13 - 85*n.\nAnswer: 8*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6220, -6221, -6222?\n\"Answer: -h - 6219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18764, 37181, 55252, 72977?\nAnswer: 90356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16509 = -4*h + 3*r, 3240 = -3*h + 3*r + 15618. Suppose 10*z - h = 8179. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {j: 6, g: 7}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**5\/5 + 26*l**4\/5 - 1686*l**3\/5 + 3286*l**2\/5 - 1628*l\/5 = 0?\nAnswer: -37, 0, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 3. Suppose 0 = -p*f - 17 + 149. Let y = f + -5. Is 14 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22728 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2635373 is divided by 3141.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12.09, -0.05, 3, -3, 31 in decreasing order.\nAnswer: 31, 3, -0.05, -3, -12.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8308\/(-155)*15\/(-3 + 0). Let n = 543 - y. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8187 + 8625. Solve 0 = -69*w - r - 45 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y**3 - 82*y**2 - 148*y - 32 = 0.\nAnswer: -8, -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 444\/4 + 38 + (-6 - 43). Let h be 2\/(-4) - 153\/(-6). What is the greatest common divisor of n and h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -466 divided by -2\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 19, 23, 27, 31, 35, 39?\n\"Answer: 4*k + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/1466 and 89\/2.\nAnswer: 1466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 84785150.5 - 114577\nAnswer: 84670573.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -4*q + 23, 2*q - 8 = -2*g + 2. Find the first derivative of 635*w**g - 22 - 675*w**3 - 2*w + 2*w wrt w.\nAnswer: -120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 52*t - 453. Determine f(-8).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 1952*t + 123. List the prime factors of c(2).\nAnswer: 4027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4728, 19051, 42998, 76575, 119788, 172643?\n\"Answer: h**3 + 4806*h**2 - 102*h + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 0)*(1 + 1 + 0)*(2*c**3 + c**3 - 5*c**3).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**4)**(-26))**(-22)\/((s*(s**(-2)*s*s)\/s)**(-20\/9)\/(s**(7\/2)\/s*s**(-3))) assuming s is positive.\nAnswer: s**(4575\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -9 - u + 2 + 2*u**2 - 2*u + 3. Calculate w(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-234)\/19)\/39*-5*19?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 146645365 (base 7) to base 14\nAnswer: 14517dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/15)\/((-3)\/(-6)). What is the second smallest value in -1, 0.4, 7.53, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1134 and 62?\nAnswer: 35154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-7 - -4) - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = -2*b + 5*u, 4*u = -3*b + 5*u + 156. Suppose 3*h = -3*k + 43 + 32, -2*h - k = -b. What is the remainder when h is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**3 - i**2 - 3*i + 3. Let z be u(2). Suppose -z = -2*o + 11. Is o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27) + 4 + (sqrt(90)\/sqrt(3) - sqrt(30))\/sqrt(10).\nAnswer: 4 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -2*r**6\/15 + 4*r**5\/5 - 2*r**4 + 8*r**3\/3 - 2*r**2 + 20*r. Factor k(h).\nAnswer: -4*(h - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35653.\nAnswer: 101, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/118 and -35\/6.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6722 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12340, 12359, 12390, 12433, 12488, 12555, 12634?\nAnswer: 12725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*120\/(-50)*405\/(-2). What is r rounded to the nearest 100?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (24\/10)\/((-4248)\/720 + 1 + 5). Solve -d = -7*l - 38 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9787*a**3*u**3 - 205*a**2*u**3 - 2*a**2*u - 6 wrt a.\nAnswer: -58722*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -2*l**4\/3 + 157*l - 180. Let c(t) be the first derivative of m(t). Let u(k) = -2*k + 1. Determine u(c(z)).\nAnswer: 16*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uknnukknukkn. Give prob of sequence uk.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-27)\/12*5704\/(-69) and 186.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 26 = 2*v - 124, 3*v - 245 = k. Let p(n) = 31*n**3 + n**2 - n + 1. Let y be p(1). Calculate the highest common factor of v and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) -369 (c) 350\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k + 2*k = 5*p - 53, 28*k + 543 = -4*p - 125 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 4:31 PM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -3) + (-10 - (-15 - -14))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -4 + 0*r - 1\/2340*r**6 + 1\/390*r**5 + 0*r**4 + 0*r**2 - 10\/3*r**3. Let j(a) be the third derivative of t(a). Factor j(g).\nAnswer: -2*g*(g - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4178557717 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*w + 4*w - 7*w**2)*(1531*w + 2002*w - 844*w) as v*w**3 + r + l*w + n*w**2 and give v.\nAnswer: -18823","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7345280 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 3c?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -899.4 - -912.4. What is the closest to -0.7 in -3\/2, v, 1\/7?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -6*k - 26. Let x(g) = -g**3 - 10*g**2 - 9*g + 2. Let s be x(k). Solve -6*p = -s*p + 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*i - 30*i - 5819 = 43*i for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-69))\/((-28)\/8 - -4). Let w = g - -8309\/1380. Let k = 6\/5 + w. Calculate the common denominator of -41\/14 and k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46\/5 + -394\/45. Let k be 2*-1 + (-10)\/1. Let y = 12 + k. Is y at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 149573 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 150 + -90. Let w = 36 - 87. Let f = p - w. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + (-3)\/(-8))*-2. Let z = -48.8 - -49. Which is the third biggest value? (a) -0.5 (b) u (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00047083 rounded to 6 decimal places?\nAnswer: -0.000471","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*1 + 0)**2 + (sqrt(2) + 1*sqrt(2) + 0)**2 + 4 + -1 + (1*-1*sqrt(2)*4 + -2)**2.\nAnswer: 16*sqrt(2) + 335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -2)\/(47 + -50). Let t(p) be the second derivative of 1\/20*p**5 + 0*p**4 + 5\/2*p**2 + 0*p**3 - 7*p + j. Differentiate t(s) with respect to s.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/17, -0.2 in descending order.\nAnswer: 2\/17, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 324 - 58 = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 + -28. Let j = w - 3. Suppose 0 = -2*o - 4*l, -3*l - 1 = -2*o + 13. Solve -j*v = -v - o for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**2 + 27*q + 29. Give c(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10103 + 15516. Round q to the nearest one thousand.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93090747?\nAnswer: 3, 19, 1633171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -p**5\/40 - p**4\/12 + p**3\/3 + 1. Let u(h) be the third derivative of v(h). Let l be u(-4). Solve -l = 3*y - y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-18)\/(-12)*8\/42\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 47*h**2 + 2*h - 27. Let w(c) = -46*c**2 + 36. Give 4*f(t) + 3*w(t).\nAnswer: 50*t**2 + 8*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -67636*i**4 - 2*i**2 + 8438*i.\nAnswer: -1623264*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22877 rounded to three dps?\nAnswer: 0.229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44568 = -68*a + 74*a. Suppose 0 = -15*n + a + 8217. What is the hundreds digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 3:49 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -37789533.\nAnswer: -2\/37789533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 5*p - 37, 2*t = -t + p + 36. Calculate the remainder when 22 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 11 + 9 + 657*z**2.\nAnswer: 657*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**4 + 316*u**3 - 20656*u**2 + 40016*u.\nAnswer: 4*u*(u - 41)*(u - 2)*(u + 122)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5040, 10065, 15090?\n\"Answer: 5025*n + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**3 - p**2 + 15*p + 7. Calculate w(-4).\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - r + 1. Let t be c(2). Let w(n) = -4*n + 3. Let s be 9\/(-4) + (-2)\/(-8). Let q(y) = -3*y + 2. Give s*w(u) + t*q(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1\/5, 21, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 6 = 4*c + 4, 2*c = 3*b + 12. Solve 18 - 9 = c*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 5:31 AM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 0.39533?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tjhu when four letters picked without replacement from {t: 3, j: 2, u: 3, h: 3, m: 6}?\nAnswer: 9\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -317 divided by 698067.\nAnswer: -317\/698067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 6*o**2 - 14*o + 16. Is i(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of 0*a - 1\/105*a**7 - 67\/24*a**4 + 26 - 1\/3*a**3 + 2*a**2 + 31\/120*a**6 + 0*a**5. What is the second derivative of m(n) wrt n?\nAnswer: -24*n**2 + 186*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16602531 - 4?\nAnswer: 16602526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p + 13. Let j(b) be the third derivative of -b**4\/12 - 38*b**3\/3 + 24*b**2. Let u be j(-33). Determine g(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 3*m = 22, -4*u - 3*m + 175 - 188 = 0 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-72*f - 332*f**3 + 75*f - 508*f**3)*(4*f + 2*f - 3*f).\nAnswer: -2520*f**4 + 9*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-777004)\/(-423))\/((-6)\/(-27))?\nAnswer: 2, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2021, 3512, 5003?\n\"Answer: 1491*a + 530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/276 and 5\/552?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9 - (-5 + 55\/5). Let r(c) = 10*c**2 + 11 - 4*c**2 + 2*c**m + 3*c + 6*c**2 - 3. Let s(b) = -b**3 - 8*b**2 - 2*b - 5. Calculate 5*r(q) + 8*s(q).\nAnswer: 2*q**3 - 4*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46767096.\nAnswer: 2, 3, 23, 31, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**4 + 900*m**3 + 1181*m - 427 + 1551*m - 2724*m**2 - 485.\nAnswer: 4*(m - 1)**3*(m + 228)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3 = 0, 0 = n - 2*n + 5*d - 10. Let r = -2 + n. Solve 0 = 2*u + r + 7 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 45, 39, 27, 15, 9, 15, 39, 87?\n\"Answer: h**3 - 9*h**2 + 14*h + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r. Suppose -2*l + 0 = -5*k + 6, 0 = -2*l + 4*k - 4. Let t be 2*4*(-1)\/(-2). Let d(w) = -3 - t - 2*w**l + 7. Give d(s(m)).\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/328 and 27\/1312.\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-102)\/(-17) + (-15)\/((-708135)\/(-283256)). Is s at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 28576.45ml?\nAnswer: 28.57645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/7 + 4\/42*18. Solve -q*d = 3*n + 13, -4*n = 4*d + 26 - 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -105, -195, -285?\n\"Answer: -90*b - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1082 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*k - 34. Let x = 3 - 2.8. Which is the closest to -1? (a) 0.4 (b) x (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 14*x + 54. Let o = 489 + -493. Let w be p(o). What is the second smallest value in -3, -5, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o\/(o\/(o*o\/o**(-12\/11)))*o\/o**(-5)*o*o\/((o\/(o*o**(3\/8)))\/o)*(o*o*o*(o*o\/(o**0*o))\/o)\/o assuming o is positive.\nAnswer: o**(1361\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 37*h + 1. Let d be l(1). Suppose 0 = -0*r - r + 57. What is the highest common divisor of d and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + m + 6 = 0, 9*m - 4*m - 10 = 0 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 3:40 PM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 5:55 PM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1145577 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11\/(-18)*(-8 + 180378\/27). Let c = 4075 + y. Calculate the common denominator of 113\/72 and c.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62555, 125110, 187665, 250220, 312775, 375330?\nAnswer: 437885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, d: 1, p: 1, i: 1, t: 1, v: 2}. Give prob of sequence dv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 40 (c) -2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.8 + 15.8. Let y = 14.0055 - c. Round y to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -14*g - 26. Let x be b(-2). What is the third derivative of -4*f**x - f**2 - 13*f**3 - 9 + 7*f**3 + 11 wrt f?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170516?\nAnswer: 2, 47, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*a + 3*a**3 + 30*a + 13*a + 2*a**3.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (-236)\/(-12)) + 16\/2?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -3*q + 4*w, 113*w = 3*q + 117*w - 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -215.5 + 215. Let o = -1.2 - -0.2. Let x be -1 + 2\/(-6)*2. What is the third smallest value in x, j, o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -84.3 + 80. Let v = t + 1. Round v to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/sqrt(128)*-3)\/(-6*sqrt(9)*-1*1).\nAnswer: -sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/10 of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 3*i = -19, 18*q - 5*i + 35 = 23*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2 - 3 - m + 0. Let s be w(-7). Let q = s - 1. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -5*a - 9*a + a. Let i(w) be the third derivative of w**4\/6 - 140*w**2. Calculate i(m(f)).\nAnswer: -52*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/14 and 79\/3448.\nAnswer: 24136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 7:53 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/11*((-12)\/4)\/(-6).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13\/3 + -5. Let d be 8\/((-160)\/(-36)) - 2. Which is the nearest to o? (a) 3 (b) 11\/3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*a**3\/3 - 516*a**2.\nAnswer: -a**2*(13*a + 1548)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*u**3 + 0*u**3 - 2*u + 6*u wrt u.\nAnswer: -36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36131 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8 and -5.89.\nAnswer: -47.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*i = 207*i - 436*i + 295 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -80, -79?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 60404.9 + 144.4?\nAnswer: 60549.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k**2 + 75*k - 1430 = 0 for k.\nAnswer: -26, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.885433 millilitres to litres.\nAnswer: 0.004885433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 237) + (-15753 - -15873).\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1786155.\nAnswer: 3, 5, 7, 17011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 7*z**2 + 5*z + 4. Let q be (15\/6 - 1)\/(9\/24). Let d be (-9)\/(2\/q + 1). What is i(d)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317179 (base 11) in base 9?\nAnswer: 852816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 3*n**2 + 19. Let y(q) = -3*q**2 - 6 + 6*q**2 - q**2 - 6*q. What is the remainder when y(-5) is divided by f(0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -306*d**5 - 26340*d**4*s**2 - 872348*d**2*s**2 + 24*d*s**2 wrt d?\nAnswer: -18360*d**2 - 632160*d*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5\/6, 24\/11, -1\/6?\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-608 - -2)\/6*(1 + -3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 765259 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1314299158 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 3414 = 4*d, 3*p + 2559 = d - 4*d. Let u = 2612 + d. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -46, 44, 9.7, -2\/29, 0, -5?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42 - -45. Suppose 5*h - o*h = 116. What are the prime factors of h?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 6345*p + 19033. Give z(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 m when two letters picked without replacement from yeeeuoueuuyeemoyydo?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/2330917 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 7*b**2 + 5*b + 4. Let g be x(-5). Let y = 119 + g. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1567*a - 13650 = 1385*a for a.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 104 - 10 = 0. Let m be 3\/(o\/24 - -2). Let d = 9 + m. Put d, -4, -1 in decreasing order.\nAnswer: d, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/((v*v*v**(-5)\/v*v*v)\/v))**(-10)*(v*v**12)\/v*v*v**(-6)\/v*v*v assuming v is positive.\nAnswer: v**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 145 and 50.\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -93 - -499. What is the remainder when d is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6011444 is divided by 1662.\nAnswer: 1652","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 21 = -h - 14, 3*j - 2*h = -18. Let w(g) = -g**3 - 4*g**2 - 3*g - 16. Let r be w(j). Let k(o) = -5*o**2 - o**3 + 0*o - 5*o + 0*o**3. Give k(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 520 = 5*r, 105 + 103 = 2*r - 2*q. What is the greatest common factor of r and 260?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58349, 104921, 151493, 198065?\nAnswer: 244637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*(-65)\/52*-2*1. Let r(m) = -6 - m**3 - 9 - 15*m**2 + 33 + m - 8. Calculate r(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0 + 1 - (-880)\/1344 and -79\/36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25.92 - 0.08. Let u = -348.4522 + 374.45. Let a = i + u. What is a rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3459.631 litres to millilitres.\nAnswer: 3459631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 - 5*n**2 - 8*n**2 + 20 as d*n + b*n**2 + o and give b.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -335*o + 1292. Determine b(4).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**5 - 17*i**4 + 38*i**3 + i**2 - 40*i + 16 = 0.\nAnswer: -1, 1\/2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 2177265870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 116 + -115.47. Let i = s + -0.48. Which is bigger: i or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 4*f - 15 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 4*s**2 - 4. Let w = 24 + -21. Let o be h(w). Suppose -o*t - 165 = -10*t. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12849520 divided by -642476.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 661*w + 15 + 638*w + 22 - 1292*w. Give b(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**3 + 445*r**2 - 1244*r**2 + 463*r**2 + 433*r**2.\nAnswer: 2*r**3 + 97*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5}. Give prob of sequence cccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -304 - -10040?\nAnswer: 7534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 + -1 - (0 + (-5 - -15)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g - 3*g = 630. What is the greatest common divisor of g and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 78 + 172 = 5*p, 0 = -2*p - y + 97. Suppose 0 = r - p - 16. Let a = r - 40. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92239 times -0.12?\nAnswer: -11068.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 1779*v - 11021. What is l(6)?\nAnswer: -347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + 6. Suppose 10 = -3*q + 1, 0 = -5*k - 5*q + 5. What is the lowest common multiple of k and o?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1135\/2 in -3\/4, -4, -200.2?\nAnswer: -200.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/3)\/a*a*a**(4\/3)*a**1*a**18 assuming a is positive.\nAnswer: a**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/1530088 and -113\/283668?\nAnswer: 50492904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11418791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v**3 - 5*v**2 + 3*v + 5. Let a(n) = -3*n**3 + 4*n**2 - 2*n - 4. Let q = 9 - 1. Let k = 3 - q. Give k*a(o) - 4*l(o).\nAnswer: -o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -151*t + 15 + t**3 + 152*t + 13 + 5*t**2 - 33 as q*t**3 + h + a*t + p*t**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of p**6\/120 + p**5\/30 - p**4\/24 - p**3\/2 - 6*p**2. Let s(m) = 2*m**2 - 4*m + 3. Let j be s(2). What is the units digit of b(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54351701\/2553 + -63868\/3. Is 1 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9436 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.12 + -0.22. What is the closest to -0.2 in 1, a, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of b**4\/8 - b**3\/2 - 3*b**2\/2 + 3*b. Let y(m) be the first derivative of h(m). Find the first derivative of y(s) wrt s.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -374*t**2. Let j(c) = -133 - c - 173 + 306. What is j(r(k))?\nAnswer: 374*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 14913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = q + 21, 2*w = 4*q - 1 + 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**2. Let j(q) be the third derivative of -q**6\/80 - q**4\/8 + 5*q**2. Let t(f) be the second derivative of j(f). What is l(t(u))?\nAnswer: 162*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3411 is divided by 566.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -l**6\/60 - 13*l**5\/120 - l**4\/4 - 4*l. Let k(f) be the third derivative of s(f). Is k(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -144 - -1625. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) -118242 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 593073 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 8:16 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.9 in 0, -2, -2\/9, 0.02, -374?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 1145*o**2 + 103*o - 205. Is p(2) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b + 5. Let j be g(9). What is the tens digit of (-5517)\/(-45) - j\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 16, 22, 20, 4, -32?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a + 8. Let p be j(6). Suppose 5*r - 17 = 8, 5*r - 16 = -3*u. Let b = u + 9. Solve 0*q + 3*k = q - b, -5 = -p*q - k for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9254*u = 9207*u + 1269 for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/14316 and 73\/3452?\nAnswer: 12354708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 36335447 * 0.2\nAnswer: 7267089.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -140 - 2?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-311)\/384 - (-45)\/135 and 73\/32?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**4\/13 - 4*j**3\/13 - 38*j**2\/13 + 16*j\/13 + 120\/13 = 0 for j.\nAnswer: -3, -2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 296ab?\nAnswer: -296b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -81 in -2\/5, 2\/3, 0.4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**2 + 3*b**2 - 12*b**2.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000337174116 to seven dps.\nAnswer: 0.0000337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*s**2 + 11*s**3 - 7*s**3 - 16*s**3 + 13*s**3 - 7*s**2.\nAnswer: s**3 + 30*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 2 + 4 + 2*n + (-3*n + 4*n - 12*n)*(0 + 1 + 0).\nAnswer: -9*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 2:02 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13278 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) 4 (b) -47 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 3 + 32*x**2 + 8 in the form g + j*x**2 + a*x and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 8:56 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4386*z**2 - 52*z - 53. What is the units digit of s(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-8))\/((-1050)\/630).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*l**2 - 20*l - 102\/5.\nAnswer: 2*(l - 51)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 1. Suppose w*b + 5 = 1. Let t(a) = a**2 + 6*a + 6. Let u be t(-5). Sort 2, u, b in decreasing order.\nAnswer: 2, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -12*p. Let d(o) = -o - 1. Suppose -13*n + 49 - 75 = 0. Calculate n*d(y) - r(y).\nAnswer: 14*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j**4*r**2 - 179*j**4*r - 4*j**2*r**2 + 14*j**2 + 3*r wrt j?\nAnswer: -48*j*r**2 - 4296*j*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/2 - (-3)\/2. Let a(q) = q - 3*q**2 + 0*q**s - q**3 + 2*q**2. Give a(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 38034780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/80060 and -103\/42.\nAnswer: 1681260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 60.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2144, -2127, -2090, -2027, -1932, -1799, -1622?\nAnswer: -1395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*c + 3*c + 2*o, 0 = 5*c - 4*o + 8. Let a = -7 - c. Let u(h) = -h - 2. Give u(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)*2*-4)\/(sqrt(128)*3).\nAnswer: -2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 101837 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of y**4\/6 + 2*y + 6. Let g(f) = -37*f + 1. Calculate g(l(z)).\nAnswer: -74*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j + 13. Let g be i(8). Suppose -2*b = 5*k - 3*b - 193, -g*k + 5*b + 205 = 0. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y - 1. Let w(m) = 4*m**4 + 12*m - 10. Let h be (-1)\/2 - (-38)\/(-4). Let g(q) = h*o(q) + w(q). What is the second derivative of g(i) wrt i?\nAnswer: 48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a = 3 + 17 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {s: 3, x: 7}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + -1 + (6\/(-5))\/(69\/(-3910)). Calculate the greatest common divisor of c and 153.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 6 = 4*i. Let r = 6 - 14. Let q(g) = -14*g - 11. Let j(d) = -5*d - 4. Give i*q(t) + r*j(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3428 and -2.\nAnswer: -3430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 10*r - 5. Let o be n(9). Let p be (12\/36)\/(-3*(-4)\/36). Solve -o*a - p = 11 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of d**7\/105 - d**6\/24 - d**5\/20 + 394*d**2. Factor i(y).\nAnswer: y**2*(y - 3)*(2*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, s: 1, t: 10, a: 1}. Give prob of picking 1 s, 1 a, and 1 l.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 + 63. Let x = r - 27. Which is the second smallest value? (a) 0.2 (b) x (c) 1 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -5 + sqrt(176) + -1)**2 + ((-3 + sqrt(176) + 0)**2 - (-1 + sqrt(176) + 1)**2).\nAnswer: -72*sqrt(11) + 221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1342697 - 1342623.9931. Let z = j + -73. What is z rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -5*c + 11. Let z(v) = 3*v - 6. Let t be 5 - (-5 + -38 + 0). Let h = 44 - t. Give h*m(a) - 7*z(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 145169100 rounded to the nearest one hundred thousand?\nAnswer: 145200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 351 a factor of 33651905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aadm when four letters picked without replacement from {t: 1, a: 3, p: 2, v: 1, m: 2, d: 3}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 46, 5, 2, 142 in descending order.\nAnswer: 142, 46, 5, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.188*170510.3.\nAnswer: 32055.9364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2*v - 27612 = 0, -3*d - 2*v - 41995 = -597. Let n be 828339\/(-24)*4\/(-10). Let r = n + d. Find the common denominator of r and 51\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10708550 a multiple of 538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -q**4\/3 + 4*q**3\/3 + 7*q**2. Differentiate c(p) with respect to p.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5755413?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31001 + 61993 - 5*c - 30990.\nAnswer: -5*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181 - 19*f + 181.\nAnswer: -19*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -729*d - 15396. Give s(-19).\nAnswer: -1545","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-12)\/(-50)*((-980)\/(-21))\/7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30 - 130122003100?\nAnswer: -130122003010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.92 - -0.42. Let m = l + 4.2. Which is the smallest value? (a) m (b) -4 (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140) + 1*(sqrt(140) + sqrt(140)*1 - sqrt(140) - sqrt(140)) - sqrt(140))\/((sqrt(70) + (sqrt(70) - 1*sqrt(70)) + sqrt(70))\/sqrt(10)))**2*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 + 33 = 5*i. Let p = -14 - -20. Let z = p - i. Calculate the remainder when z is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54 and 9.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -77, -3, 9 in ascending order.\nAnswer: -77, -3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4847 > 4847?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -27086281 divided by -2\nAnswer: 27086281\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*t + 111*t + 72*t + 2*t**3 - 294*t.\nAnswer: 2*t**3 + 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 0 - 6 + 3)*(-1977*s + 1977*s - 67*s**2) to p + d*s**2 + a*s and give d.\nAnswer: 469","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 150 and 1950?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000028674 rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -327143 and -4.\nAnswer: 1308572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - d + 5*d - 3*d)*(0*d**3 + 0*d**3 + 3*d**3).\nAnswer: 3*d**4 + 6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.793891nm in micrometers?\nAnswer: 0.000793891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 7*i. Let h be b(7). Let v(j) = j**3 + 2*j**2 + 26. List the prime factors of v(h).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 81613.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 854*w**2 - 3*w - 3. Let m be r(-1). Suppose -6*g + 4*g + m = 0. Let v = 1164 - g. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z**2 - 32*z**3 - 2*z**4 + 3*z**2 - 14*z**2 + 2*z + 9*z**2 + z**4 to m*z**4 + f*z**3 + d*z + a + w*z**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 66 + 41 = -l, 4*l - 8*b + 40 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.849*-0.5.\nAnswer: -1.4245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooqqqoqqooooo. What is prob of sequence oqo?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -20*o + 54. Let k(b) = -7*b + 18. What is -6*j(u) + 17*k(u)?\nAnswer: u - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 11 = 25. Calculate the greatest common divisor of 4 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/4*(-32)\/28\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111100010001111101100011100 - 100?\nAnswer: -1111100010001111101100100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q - 4. Let z(c) = 5*c + 5. Let l(g) = -4*x(g) - 3*z(g). Let o(k) = -4*k - 4. Calculate 26*l(v) + 6*o(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 120001639?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 263503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124371118.\nAnswer: 2, 47, 28151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-6)*3 - -40. Let t be 52\/1 + (-7)\/21*9. Let d = t - i. Is 3 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**2 - i - 1. Let h(p) = p**2. Let a(z) = 3*h(z) + n(z). Let m(b) = 5*b - 4. Let c(o) = a(o) - m(o). Determine c(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 2\/5 (c) -3 (d) -2.102\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 439 and 127198933?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 367 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + x + 1. Let j(z) = -5*z**2 + 6*z + 7. Let t(o) = -j(o) + 6*s(o). Let i = -1 - -2. What is t(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from sssssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4472964 at least as big as 4472906?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -5, 0, -1456, -6145, 5 in descending order.\nAnswer: 5, 2, 0, -3, -5, -1456, -6145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 568755 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (62*t - 6*t + 22*t)*(-2*t**3 + 3*t**3 - 2*t**3) as q*t**3 + c + s*t**4 + p*t**2 + h*t and give s.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81967648 by -299152.\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**4 - 6*t**3 = 0. Calculate t.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert b08 (base 14) to base 10.\nAnswer: 2164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zppzhpphp. Give prob of sequence hh.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + 6. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/4 - 239201*k\/2 - 239200.\nAnswer: -(k + 2)*(k + 478400)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/2*66\/396. Which is the closest to -2? (a) 7\/3 (b) -3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 3:31 PM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -q - 13, 3*b - q - 25 = -5*q. Suppose -2*v - 17 = -j, 3*j = b*j + 5*v - 42. Calculate the greatest common divisor of 247 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 351118, 351149, 351200, 351271, 351362, 351473?\nAnswer: 351604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-12 + 3 - -5 - 2 - -8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 1 - -1 - -2. Let o = -158 + 172. Solve -c*d = 3*f + f - 4, -f - o = -2*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*d + 5*l - 30, 3 = -d - 3*l. Let v be (-5)\/3 - (d + 6). Solve v*s - 1\/3*s**2 - 4\/3 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4259*p**2. Let w(r) = 23*r**2. Give g(w(u)).\nAnswer: -2253011*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 17869.92 millilitres?\nAnswer: 17.86992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-16)\/(-6))\/(-7 + (-38)\/(-6)). Let d be 42\/8*q\/6*10. Let y be 14\/4*(-20)\/d. Solve -2*z + 5*o + 20 = -7*z, y = -3*z + 2*o for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 664938 and 5697?\nAnswer: 420905754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5 (b) 89 (c) -5\/2 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -10 + 4 + (152 - 135)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1910*l**2 - 1909*l**2 - 1910*l**2 + 9554*l**2 - 1915*l**2 - 1909*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iooo when four letters picked without replacement from {m: 1, o: 12, i: 7}?\nAnswer: 77\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 3*u + 8, 0 = 4*r - u - 0*u - 33. Let v = 12 - r. Let j(m) = -m + 7. Is j(v) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31578135385 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -31*o + 12. Let x(n) = 714*n - 280. Let b(s) = -140*g(s) - 6*x(s). Let f(d) = -3*d. Determine f(b(u)).\nAnswer: -168*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in three tenths of a microsecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -17*q**2 - 53*q - 90. Calculate c(-14).\nAnswer: -2680","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 36430398 divided by -106\nAnswer: -343683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u + 2. Suppose 3*d + 4*x + 425 = -165, 2*d = 2*x - 398. Let c = d + 204. Calculate o(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6349*h + 6316*h = -516 - 12 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 628661 is divided by 463?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5 + 4 = 0. What is the remainder when 6 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.17*1.4\nAnswer: -0.238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172 = 2816*w - 1451*w - 1408*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 29 = 5. Let g(t) = -t**3 - 5*t**2 - 3*t - 2. What is g(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 + 3*k**2 - 3*k**2)*(-3 + 4 + 1) - 3*k**2 - 4*k**2 + 6*k**2 + 2*k**2 - k**2 + 0*k**2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -87*q + 94*q - 35. Solve 0 = w + q, i - 19 = -i + 5*w for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2*l = -2400004, -2*l - 49743 = -x + 550261. Round x to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/60454 and 23\/6795464.\nAnswer: 1134842488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/7, -9, -6, 26?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o - 42. Let l(v) = 16*v - 209. Determine 2*l(s) - 11*t(s).\nAnswer: -s + 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-25)\/(-15)*(352\/5320 - (-10)\/95). Let h = -7 - -4. What is the second biggest value in h, -10, 1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*i**2 - 213*i + 42 = 0. Calculate i.\nAnswer: 1\/5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 16 + 36. Let v be 5 - -1 - (a - 6). Suppose 2*l = c + 1 + 6, 4*l - v = -5*c. Solve l*o = 5*s + 8, -s + 2*s - 5*o + 6 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 7:16 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 9. Let l be i(0). Let s be (9\/6)\/(l\/(-24)). Let g(c) be the second derivative of c**4\/12 + c**3\/3 - 3*c**2\/2 + c. What is g(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 21, -1 in increasing order.\nAnswer: -4, -1, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 6*d - 1 + 0*d - 2*d. What is o(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -13*r + 399. Suppose -4*z + r = -31. Let h = z - 14. Solve -5*b = h*j - 3*j, 3*j - b + 4 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 116 - 114. Find i, given that 0*i - 3*i**2 + 0*i + f*i + 4*i = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w - 5. Let c be y(-4). Let d be ((-2)\/c + 0)\/((-2)\/3). Suppose -3*x - 5*m + 11 = -5*x, 4*x - 4*m + 4 = 0. Sort x, -1, d in ascending order.\nAnswer: -1, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -152546 + 565?\nAnswer: -151871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -74, -110?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*r - 118 - 66 = 0 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -875 - -878. Let j(y) = 2*y**3 + 2*y**2 - 8*y + 1. Let g(d) = 5*d**3 + 4*d**2 - 23*d + 3. Let t(q) = o*g(q) - 8*j(q). What is t(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -6*t + 6. Give j(-6).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 z when three letters picked without replacement from ffxfxzzzzxxzx.\nAnswer: 25\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -5*d + 1. Let j be (-12)\/(-5) - 6\/15. Suppose o - 1 = -g, 2*g + g - j = -4*o. Let t be l(o). Solve t*s = 2*s - 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/7*-1)\/((-2)\/7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4776 and 352?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1410750983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 1. Let y(k) = k**3 + 2*k**2 - k + 1. Let s(l) = -3*p(l) + y(l). Give s(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x + 7*x = -87772. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2 = 829?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -169*c**2*o**3 + 2*c**2*o**2 - 14*c**2 - 3*o**2 wrt o.\nAnswer: -1014*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -5. Suppose -4*a + 2 = -3*x, p*a = -5*x + a + 12. Let j be (7\/14)\/(x\/100). Solve -j = -b - 4*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 12) in base 2?\nAnswer: 110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 6*l**2 + 356*l - 1116. Give a(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84054768.\nAnswer: 2, 3, 7, 97, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 7*q - 121. Let c(h) = h**3 - 10*h**2 + 3*h + 1. What is the tens digit of c(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 5 + (78 - 86).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(2904)*-4)\/(sqrt(108)\/(sqrt(18)\/sqrt(2)) - (sqrt(12) + (-2*sqrt(132))\/sqrt(11))).\nAnswer: -110*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/8? (a) -14 (b) 0.1 (c) -7 (d) 2 (e) -2\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - a**2 - 4*a + 2. Let g = -22 + 25. Determine u(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 2372, 37, 1 in decreasing order.\nAnswer: 2372, 37, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3300 divided by 2.\nAnswer: 1650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 4 = 1. Let j(v) = -3*v + 2. Let d be j(2). Let i = 4.799 - -0.201. Which is the closest to m? (a) 1\/6 (b) i (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -785 divided by -456\nAnswer: 785\/456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.4 (b) -2 (c) -3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/9 - 86*g\/9 + 28\/3.\nAnswer: 2*(g - 42)*(g - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3*r + 3*n - 12, -3*n = 2*r - 8. Let y(h) = r*h - 24*h + 8*h + 10*h. Let s(o) = 6*o - 4. Determine y(s(u)).\nAnswer: -12*u + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {t: 1, s: 7, f: 3, v: 5, j: 2}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**4 + 42*y**3 - 156*y**2 - 72*y + 864 = 0. Calculate y.\nAnswer: -2, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 305445900 divided by 2036306?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/(-6))\/(1\/2). Let o(s) = -s**2 - 7*s. Let d = 4634 - 4622. What is the smallest common multiple of d and o(n)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 9:05 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -83*k + 2. Let s be q(-2). Calculate the highest common factor of s and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**5\/7 - 51*x**4\/7 - 628*x**3\/7 - 2364*x**2\/7 + 944*x\/7 + 1920 = 0.\nAnswer: -35, -8, -6, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - ((-10 - -6) + 3 + 6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, -460540, -0.1 in ascending order.\nAnswer: -460540, -0.1, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 2.1 (c) 2\/17 (d) 27 (e) -2.81 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -8. Let j(v) = 5*v**2 - 1. Let z be j(-1). Suppose -z*m + q*a = -20, -3*m - 2 = -2*a + 4*a. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qsdzrrsvzszrrzzz. What is prob of sequence zdz?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence skk when three letters picked without replacement from {k: 3, h: 2, j: 2, s: 3, a: 1, v: 1}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*g + 10*g - 3*t + 4, -g + 5*t + 16 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1992000293 to the power of 1\/3, to the nearest integer?\nAnswer: 1258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*q**4 - 2*q**3 - 98095*q**2 + 227*q - 2187 wrt q.\nAnswer: 24*q**2 - 12*q - 196190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19 + a5?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = -5*b - 2*q + 21, -721589*b + 8*q = -721590*b + 44 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 156073?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of i**4\/6 - 283*i**3\/6 - 338*i**2 - 1651*i. Differentiate s(l) with respect to l.\nAnswer: 4*l - 283","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/12294260 and -35\/261?\nAnswer: 110648340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r**2 - 341*r - 1698. Calculate the remainder when f(96) is divided by 85.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1508305.\nAnswer: 5, 31, 37, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1671869?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18073008341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2 + o + 1 + 5*o - 4*o - 2*o**2. Determine r(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = t + 17, -5*t - 3*x = x + 22. Let i be t\/6 - 532\/(-21). Solve i*a + 16*a + a**2 - 44*a = 0 for a.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31977, -63920, -95835, -127716, -159557?\nAnswer: -191352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 928073817.\nAnswer: 3, 11, 9374483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -4, 4839, 3 in ascending order.\nAnswer: -4, 1, 2, 3, 4839","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/10 - (483\/(-35))\/3. Suppose 0 = -5*l - 3*p + 57, l = -3*p + w*p + 14. What is the derivative of l*y**4 + 22 - 5*y**4 + 2*y**4 wrt y?\nAnswer: 36*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 41060, 0, -3?\nAnswer: 41060","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**5 + 255*i**4 + 34278*i**3 + 364996*i**2 - 33058152*i + 32658624 = 0 for i.\nAnswer: -62, 1, 24, 354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2026 + -3 + 29 + -39. What is the highest common factor of g and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215786 rounded to the nearest 1000?\nAnswer: 216000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14969608 by -15244.\nAnswer: 982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 130*t. Let h(w) = -25*w - 7. Let u(o) = 17*o + 5. Let k(n) = -5*h(n) - 7*u(n). What is a(k(q))?\nAnswer: 36*q**2 - 780*q","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**3 + 25*s**2 + 11*s - 2. What is n(-12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 330 = -6*g. Let k = g + 167. What is the remainder when k is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26803 is divided by 348.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -622 - -875. Let q = -108 + t. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - 2. Let p be m\/4 - 633\/4. Is 2\/(475\/p - -3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 6*u**3 + 2*u**2 - 1. Let g be z(1). Let j be (36\/63)\/(g\/((-147)\/(-6))). Solve 0 = -2*d - j*l - 2, -3 = 4*d - 0*d + 3*l for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q + 14. Does 8 divide j(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -1\/7 (c) -35 (d) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + r**2 - 5. Let k(d) = d**3 - 7*d**2 + 13*d + 1. Let u be k(5). Let j = u - 6. Suppose -t + 8*t = -j*t. What is l(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 4. Let i be (3\/f)\/((12\/4)\/(-30)). Suppose -i*u = -2*u - 702. Is u a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -9*s + 225. Suppose 0 = x - 0*x. What is the tens digit of c(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 116*d**4 - 3*d - d**2 - 118*d**4 + 2*d in the form y*d**3 + w*d**4 + r*d**2 + v + f*d and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 10*o - 3. Let h be t(9). Calculate the remainder when 2\/(32\/156) - (-9)\/(-12) is divided by (-2)\/(h\/4 + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/8*-2 + 73. Let b be (19 - 18)*(-17)\/(-1). Let x = y + b. List the prime factors of x.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10725 and 1170.\nAnswer: 64350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11 + 2\/(-1) + -15 + 16. What is the highest common divisor of y and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 635*j + 459. Determine w(-1).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k\/((k\/(k\/(k**(-1\/45)*k)))\/k*k))*k\/(k\/k**39))\/(k**(4\/19)*k**(2\/7)) assuming k is positive.\nAnswer: k**(242282\/5985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 24*p - 180. Does 6 divide k(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jhj when three letters picked without replacement from hhhhhjhjhhhhhhhhhhhh.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -482, 488?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/10, -2\/5, 13\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -4*j + 25, -3*j - 2*f - 10 = -4*j. Suppose 3*t = t + 4. Let b(a) = -3*a**t + 2*a**2 + a**3 - 7 + 0*a**2. Determine b(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 111422 - -10303?\nAnswer: 122230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**2 + 24*g + 58. Let b be k(-5). Suppose 4*r - 105 = h, -h - b + 16 = 0. Solve c + 4*i = -7, -r = 5*c + i - 11 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 3*s + 6. Let z(p) = 2*p**2 + 4*p + 8. Let k(i) = 4*b(i) - 3*z(i). Let o(v) = 60*v**2. Determine k(o(q)).\nAnswer: -7200*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/10 or 1\/21?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2782 - -10454. 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 62 times -350?\nAnswer: -21700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 186 = 6*f + 3*d, 5*f - 987 = -4*d. What is the greatest common divisor of 15 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.25 - 2.55. Let q = i + 0.3. Let s = 1\/69 + -74\/345. What is the second smallest value in -1\/4, s, q?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 0.5, -1, -4\/5 in decreasing order.\nAnswer: 0.5, -4\/5, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 3. Suppose 0*r + r + 3*m - 22 = 0, w = 5*m - 20. Solve 0 = -4*t + 2*t - r for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -413 + 618 - 2*g - 2*g**2 - 441 + (-g + 1 - 1)*(2 + g - 2) + 2*g**2 + g - g - g**2 - 2*g**2 - 7*g**2.\nAnswer: -11*g**2 - 2*g - 236","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17.71 - -17.61. Put -98, -1, 5, l in descending order.\nAnswer: 5, l, -1, -98","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 6*z**2 + z - 4. Let s = 76 - 49. What is the remainder when g(3) is divided by s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 6*s**2 + 12*s - 2. Let t be j(8). Let i = 2 - t. Is i > 37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29405 is divided by 226.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 f, and 1 s when three letters picked without replacement from {v: 1, d: 1, f: 1, s: 1, z: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -383*k = -363*k + 120 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6516797 weeks to nanoseconds.\nAnswer: 394135882560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -g**4\/6 + 12*g**2. Let l be j(-4). Let h be 5*((-12)\/1)\/(45\/(-30)). What is the highest common divisor of h and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1621, 1606, 1591, 1576, 1561?\nAnswer: 1546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5497747, 10995494, 16493241, 21990988, 27488735?\n\"Answer: 5497747*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/4))**(-3\/20)*c**10\/(c**(2\/9)\/c) assuming c is positive.\nAnswer: c**(7679\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/2633 or 0?\nAnswer: -2\/2633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 43 + 25. Suppose -2*c + v = -5*b - 11, 3*c = 3*b + 60. What is the greatest common factor of c and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 5, 2, -1, 0, 18 in descending order.\nAnswer: 18, 5, 2, 0, -1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 - 1*6*12\/72. What is the nearest to 4\/25 in 1, s, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.117608 minutes to microseconds.\nAnswer: 127056480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -167, -170, -171, -170, -167, -162, -155?\n\"Answer: w**2 - 6*w - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/(-30))\/(-6)*2*-1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*12\/(-33))\/(2\/(-1)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -254356956?\nAnswer: 508713912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 620*m + 30381. Calculate n(-49).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -644\/4155 - -6\/277. Which is the nearest to 20? (a) -3 (b) -0.4 (c) v (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.003 + -0.997. Let n = 0.0637 + -0.1337. Which is the fourth smallest value? (a) n (b) o (c) -2\/3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -50, -5, 121 in increasing order.\nAnswer: -50, -5, -4, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 12:47 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -143508, -143486, -143444, -143370, -143252, -143078?\nAnswer: -142836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 - 16. Let w(s) = -s**3 + 4*s**2 + 12*s - 45. Let u = 99 + -95. Let l be w(u). Solve v + 5 = l*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4531 (base 6) in base 8?\nAnswer: 2047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 265871 a multiple of 489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -5\/3, -6\/7, 5, -0.7, 1 in ascending order.\nAnswer: -5, -5\/3, -6\/7, -0.7, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 7585 - 12380 = -5*h, -h - q = -3984. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 8*u**2 + 5*u - 7. Is j(-5) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15300?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_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: What is the value of ((-6)\/252*2)\/((-15)\/70)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 650631 (base 8) to base 5.\nAnswer: 23424442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.015975 + -0.132736. Let i = h + 0.15375884. Let m = i + -0.037. What is m rounded to seven decimal places?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4508415481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - 3*s + s + 2*s - 2*s + 2*s - s + s + (-2 + 0 + 1)*(2*s - s + 0*s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i*(i\/i**(-12\/5))\/i)\/(i\/i**(2\/29)*i*i*i)*i**(-2\/21)*i**(-4))**(-2\/103) assuming i is positive.\nAnswer: i**(15994\/313635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -9*z**3\/2 - 91*z**2 + 149*z\/2 + 21 = 0.\nAnswer: -21, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43234.67 litres?\nAnswer: 43234670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (36 + -32) - -22\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -117 times 0.1\nAnswer: -11.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.92 and 77.5?\nAnswer: 458.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-4)*4 - (-34)\/10. Suppose 0 = 6*d - 2*d - 5*v + 6, 4*d = 3*v - 2. Let k = -277\/28 + 64\/7. Which is the third smallest value? (a) k (b) d (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113.19 less than -12725.239?\nAnswer: -12612.049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Put 2, -18, -120, 8113 in ascending order.\nAnswer: -120, -18, 2, 8113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 135 and -29.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 4*b - 6*t, 0 = -2*b - 4*t + 30. Suppose 0*p + 4*s - 13 = -3*p, b*p + 4*s - 11 = 0. What is the units digit of (p\/3)\/((-2)\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, 22, -6\/11, -0.2 in decreasing order.\nAnswer: 22, 2\/15, -0.2, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -944*d + 8251. Determine n(11).\nAnswer: -2133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 222810 + -129764. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 776\/1552*(-16 - 2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 19*n - 21. Determine r(-10).\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1188 by 27354.\nAnswer: -198\/4559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 5*c - 15, -3*d + 5*c = -6*d + 15. Is 2 <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584)*-4 - sqrt(1584))**2*4 + -1 + -5*sqrt(1584))*2.\nAnswer: -120*sqrt(11) + 316798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -q + 4. Suppose -4*c = -4, -10 = p + q*p - 5*c. Let t be (-18 - (3 + 0))\/p. Calculate the greatest common divisor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 73*a + 6 = -77*a, -5*a - 153 = -51*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -138, -334, -522, -708, -898, -1098, -1314, -1552?\n\"Answer: -p**3 + 10*p**2 - 219*p + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -197 in -4, 7\/173, 2\/15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 8*i - 5. Let n(d) be the second derivative of d**4\/6 + 15*d. Give n(g(b)).\nAnswer: 128*b**2 - 160*b + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/4))**(1\/32)*h**(-10)\/(h\/h**(-6)))**(-5\/6) assuming h is positive.\nAnswer: h**(10885\/768)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -231 + 726*f**3 - 725*f**3 - 46.\nAnswer: f**3 - 277","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(294)\/(sqrt(150)*2))\/(4*-1*sqrt(847))*3.\nAnswer: -3*sqrt(7)\/440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pido when four letters picked without replacement from nooddiodpuouo.\nAnswer: 1\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 8:47 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wkg when three letters picked without replacement from {t: 1, g: 3, a: 1, k: 3, w: 2}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.19 - 0.09. Let s = -0.1 - -0.3. Let g = 126 - 125. Which is the nearest to s? (a) x (b) 4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (1 + -3)) + -1 + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) 5 (c) 0.2 (d) 10.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 231 + -226. Put d, 8, -14 in descending order.\nAnswer: 8, d, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(3\/4)*x))\/x*x*x**11*x*(x**(-1\/4)*x)**(12\/17))**(3\/10) assuming x is positive.\nAnswer: x**(2403\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 8:20 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1792\/512)\/(14\/(-48))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 12*n - 9*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*d**2*m**3 + d**2*m**2 + 2*d*m**3 - 9*d*m**2 - m wrt d?\nAnswer: 18*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 32?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-136)\/(-36) - 2\/(-9). Let l be (-10)\/25 + (-7)\/(-5). Suppose -y - 3*u + l = 0, 1 + 24 = i*y + 5*u. What is the smallest common multiple of y and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x + 1. Let l(t) be the third derivative of t**4\/8 + t**3\/6 + 3*t**2 + 179. What is c(y) + l(y)?\nAnswer: 4*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -68396 or -68397?\nAnswer: -68396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -9 - 1 + 34 - 2*f - 1. Let z be u(9). Solve 6*q = q - z for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of q**6\/120 - q**5\/6 + 5*q**4\/6 + 19*q**3\/6 + 139*q**2. What are the prime factors of i(10)?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.073 + -13.073. Let w = 62846 - 62859.0045. Let i = z - w. What is i rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1080 and 36.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 109*s**3 - 3*s**2 - 27. Let v(u) = -219*u**3 + 5*u**2 + u + 53. Let b(g) = 5*q(g) + 3*v(g). What is the second derivative of b(a) wrt a?\nAnswer: -672*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2920223?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18092*a**2*d**2*m - 2*a**2*m + a*d**2 + 2*a - 4*d**2*m + 124*m wrt a?\nAnswer: 36184*d**2*m - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12467 (base 10) in base 4?\nAnswer: -3002303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b - 1. Let p be n(3). Let r(o) = o - 9. Let j(x) = -x - 1. Let w(m) = -2*j(m) - r(m). Let g be w(-11). Solve g = z + p - 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 9*o. Let d = 4 + -2. Let x(r) = 2*r**3 + 19*r. Let g(k) = d*x(k) + 5*j(k). What is the second derivative of g(y) wrt y?\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 21220278?\nAnswer: 21220282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u + 15. Give t(9).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39006.024*4.\nAnswer: 156024.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 502033 (base 6) in base 4?\nAnswer: 21212211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7222.2183 minutes in days?\nAnswer: 5.015429375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/3)\/((58016\/24)\/(-259))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + (-914234135)\/620556 - 2. Let n = v + 2\/155139. Let y = n - -1494. Find the common denominator of y and 95\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -5*j**2\/2 - 10*j + 563. Let c(z) = -4*z**2. Give c(b(w)).\nAnswer: -100*w**2 - 400*w - 400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*s - s = 4, 0 = 3*d + 2*s - 20. Find the first derivative of -25 + 4*o**d + 4 - 2*o**4 - 21 - o**4 wrt o.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -h - k, -13 + 98 = 4*h - 5*k. Let i be h - ((5 - 1) + -3). Calculate the greatest common divisor of 42 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5078 - -5081. Suppose -2*h + 242 = -4*f, 5*h + 8 = -f + 624. What is the greatest common factor of h and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133 (base 5) to base 7\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2222*m - 2212*m + 4433*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/2))**9*y*y*y*y**(-6)\/y*y**(-8)*y)\/((((y*y\/y**2*y)\/y)\/y**7)\/(y**(-1)\/y*y*y*y\/(y**6*y)*y)) assuming y is positive.\nAnswer: y**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8260366 and 15.\nAnswer: -123905490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1778923966?\nAnswer: 2, 889461983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 149 and 174479?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*h + 4*f, 4*h - 4*f - 3 = -11. Let g = -40 - -63. Calculate the remainder when g is divided by (-1)\/(-2)*52\/h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/((-315)\/14) + (-2)\/(-9). Suppose w = 30*h - 26*h - 352. What is the second derivative of 2*k + 58*k**2 + 40*k - h*k**2 wrt k?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 b when four letters picked without replacement from {b: 8, o: 2}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2963 + 3052. Solve -7*o - h + 47 = 0 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33045 + 71851. List the prime factors of m.\nAnswer: 2, 19403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3280001*k**3 + 2*k**2 + k. Let l be q(-1). Round l to the nearest one hundred thousand.\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3*sqrt(396))**2 - (-2*2*sqrt(396) + sqrt(396)).\nAnswer: 18*sqrt(11) + 3561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5445)*2 + (sqrt(45) - 2*sqrt(180)\/sqrt(4)) + 0.\nAnswer: 63*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.021 and 942.\nAnswer: -19.782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (21 + (6 - 10)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*a - 1300 = 52*a. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4025049605?\nAnswer: 5, 79, 277, 36787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-95)\/19 + -2 + (-38)\/(-6). Which is the smallest value? (a) u (b) 0.1 (c) -9.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v + 43. Calculate l(-15).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 26 = 5*l - 3*l, 4*n - 5*l = 35. Suppose 2*c - 27 = 5*h, h + 42 = 5*c - 3*h. Suppose 5*i - c = 4*i. What is the least common multiple of n and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, d: 3, q: 4, s: 2, k: 1}. What is prob of sequence skvd?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -930 + 929. What is the closest to a in 3, 0.5, -2, 1\/10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 4*d + 42, 2*p + 27 = 6*d - d. Is -15 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008284 rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -98648 divided by -152?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1178858231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**3*a*a**(-5))\/(a**(-4)*a**1*a) assuming a is positive.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69518661, -69518644, -69518613, -69518562, -69518485, -69518376, -69518229, -69518038?\nAnswer: -69517797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -42, -26, -6, 18, 46, 78?\n\"Answer: 2*s**2 + 10*s - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 5*c - c - 10, 5*y - 55 = -4*c. Calculate the remainder when 67 is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 - 3)*(-5*r + 11*r + 0*r)*((1 + 17*r - 13*r - 6)*(4 - 5 + 2 + (-1 + 4 - 1)*(2 - 2 + 2) + 3 + 2 - 4) - r - 2*r + 2*r).\nAnswer: -690*r**2 + 900*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 523244 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2162, 2203, 2270, 2363, 2482, 2627?\n\"Answer: 13*x**2 + 2*x + 2147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w**3 + w**3 - w**3)*(5 - 16 - 12) - 13*w**3 + 127 - 127 in the form r*w + c*w**3 + z*w**2 + q and give c.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22\/29, -2\/7, -8\/23, 3, -1\/11.\nAnswer: -22\/29, -8\/23, -2\/7, -1\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1))**(-47))**(-48)\/((g\/(g\/g**0)*g)**(8\/3))**20 assuming g is positive.\nAnswer: g**(-6928\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 207890 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33? (a) 3 (b) -2\/5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000006182 rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/27512 and 173\/1800.\nAnswer: 6190200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1\/5 - (-22)\/(-10)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5101, 20337, 45731, 81283, 126993, 182861, 248887?\nAnswer: 325071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1416*-34166\nAnswer: -48379056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5850 and 3871400?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 583 a factor of 9081391?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 65 = -k, -773*k + 757*k + 26 = -2*i for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/36*-4 + (-13)\/3. Calculate the common denominator of (k - 1185\/(-100)) + (-4)\/(-10) and -71\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**2 + 5*o + 16. Determine d(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1797579804?\nAnswer: 2, 3, 83, 1804799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 - -16. Let w = u - -19. Let o(p) = -p**3 - 5*p**2 - 4*p + 1. Let n be o(-3). Sort n, -1, w.\nAnswer: n, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 3) + 16 + (-13 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.701584g to milligrams.\nAnswer: 701.584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -5*o + 3*a, -22*a + 23*a + 4 = -o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3 = -4*v + 23, -3*v - 8 = -j. Which is smaller: 12 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 divided by -10?\nAnswer: -59\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 - -29. Suppose 4*k - i = 2*l, l = 5*k - k - 3. Suppose 2*z + 3*z - 3925 = k. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17209545?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3170*i - 39649 + 82236 + 258563 = 0 for i.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-7)\/a*a**(3\/5))\/(a**(-5)\/a**(2\/5)) assuming a is positive.\nAnswer: a**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**3\/4 + 23030909*i**2\/4 - 11515455*i\/2 = 0 for i.\nAnswer: -23030910, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + 93*h - 1797. Calculate f(72).\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1755033*t**5 - 38163722*t wrt t.\nAnswer: 35100660*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 - 14 = 1308*m + 6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14002*n**2 - 3387*n**2 - 33919*n**2 - 3188*n**2.\nAnswer: -54496*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5589 and 162.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a + 59. Let h be k(31). Let l be h\/(-8) + (-186)\/(-144). Put -0.18, -3, l, 1\/11 in decreasing order.\nAnswer: l, 1\/11, -0.18, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n + 78 = -26. Let h(m) = 10*m**2 - 21*m + 7. Is h(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2 - 28*l + 94. Let j be i(8). What is the third biggest value in -5, 10\/13, j, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*-1 + 1474\/198 + (-114)\/297?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x\/(x\/x**5)))\/(((x*(x**(-1)*x)\/x*x)\/x)\/x)*x**(-8\/5)\/x*x**(4\/9))**(1\/14) assuming x is positive.\nAnswer: x**(-277\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -4*u + 5\/2*u**2 + 7. What are the prime factors of f(8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13807 - -13817. Sort -1, 5, -5, f, 3 in decreasing order.\nAnswer: f, 5, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53.6 - 54. Let h = w - 0.1. Put h, 0.12, 5 in ascending order.\nAnswer: h, 0.12, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 4. Suppose p*l = -a + 392, -a = l - 53 - 23. Let m = l - 56. What is the remainder when m is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 3:32 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*181.9.\nAnswer: 545.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 + 2*l + 1. Give b(-5).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 2:57 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 3*n + 5*n**3 + 6*n - n. Let t(g) = 3*g**2. Determine t(w(m)).\nAnswer: 2700*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 2*sqrt(57)\/sqrt(3))*-4 + 4*2*sqrt(475)*3)**2.\nAnswer: 4480*sqrt(19) + 238736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 80069\nAnswer: -2\/80069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 44*j**3 + j**2*w**2 - j*w + w**2 + 209 with respect to j.\nAnswer: 132*j**2 + 2*j*w**2 - w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(2299)*-2*1 + -1*sqrt(2299)*6)*4)**2.\nAnswer: 2354177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -88 + 100. Suppose 0 = 24*p - 20*p - v. Which is smaller: 8 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21360.\nAnswer: 2, 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 589 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6301348417.\nAnswer: 7, 13, 947, 73121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from buuuuqb. What is prob of picking 2 u and 1 q?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 414693 is divided by 5249?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1099076 and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 236 by 48993.\nAnswer: 236\/48993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 660 = 295. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 5 (b) 0.03 (c) 3\/7 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 20*l. Let m(i) be the third derivative of i**4\/8 - 724*i**2. What is v(m(r))?\nAnswer: 60*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-15))\/w*w**(3\/8)*w)**(1\/33) assuming w is positive.\nAnswer: w**(131\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/((-20592)\/1620) + (-280)\/(-160)?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -6*q**3 + 2*q**2 + q + 1904. What are the prime factors of u(0)?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 1. Let z be 10\/3 + (-924)\/99. Let p(c) = -7*c**3 - 4*c**2 + 6. What is z*b(v) - p(v)?\nAnswer: v**3 + 4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -5*k**2 - 2*k. Suppose 13 - 5 = -4*f. Let q(b) = -14*b**2 - 909*b - 2*b**2 + 902*b. Calculate f*q(c) + 7*p(c).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 46*q + 42*q + 13, -4*u + 11 = 5*q. Which is smaller: u or 12\/4561?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 8*i**2 - 13*i - 3. Let p be v(2). Let m(x) = -x + 4. Calculate m(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 38 = 5*l + 17, 4*l + 28 = 2*i. Which is greater: 64\/7 or i?\nAnswer: 64\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 603 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3775013 a multiple of 473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 3:21 PM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24605174*m**5 + 7*m + 32900?\nAnswer: -492103480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 28, 3, 184, -2 in decreasing order.\nAnswer: 184, 28, 3, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 19. Solve y - f = 3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -44*b - 1. Calculate the remainder when r(-1) is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q - 150 = 9*q. Suppose -16*k + 108 = -q*k. Suppose -5*c + 2 = 12. Put c, -5, k in decreasing order.\nAnswer: c, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 220134401?\nAnswer: 220134404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.19*-0.1.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hfs when three letters picked without replacement from fhhhhfhfhhhhhhssh?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*a - 3*g, -3*a + 4*g = -a - 6. Let w be (0 + (-8)\/(-12))*a. Suppose 20 = 5*z, -w*n + 2*z - z = -32. What is the least common multiple of n and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/8 + 0 + 2. What is the closest to 1 in 4, -1\/2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(18)\/(sqrt(24) + sqrt(6)) + sqrt(12)\/(-2*sqrt(4)) + -1.\nAnswer: -2 - sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1166340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -135743 (b) 1 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 225 + (-89 - -10) + -68.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 17511 = -17566 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1062514 is divided by 1061921?\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23\/2, -3\/4, 3\/2, 70 in descending order.\nAnswer: 70, 3\/2, -3\/4, -23\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224404.\nAnswer: 2, 56101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(375) + sqrt(375))\/(sqrt(432)*3 + sqrt(432))*1 + -4)*-4.\nAnswer: -5*sqrt(5)\/6 + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 4:31 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38878*g**3*o + 57*g**2 - 3*g + 47*o wrt g?\nAnswer: -233268*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 76\/6*(-36)\/16*(-12)\/(-18)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 60 = 9. Sort d, -5, -3 in descending order.\nAnswer: d, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w - 9*w - 4 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2 + 39*h + 0 - 2 - 37*h. Let r be k(-3). Let v = -7 + r. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/(-25))\/(1\/(-25)). Let j be (3\/9)\/(d\/(-18)). Put -0.3, -3, j in ascending order.\nAnswer: -3, j, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20*g - 33*g - 182*g)*(0*g + 2*g - 3*g) - 2*g**2 + 5*g**2 - g**2 to k*g**2 + o*g + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 562 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 w when three letters picked without replacement from {w: 5, y: 3, q: 2}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 7*z = 450. Let t = z - 72. Suppose 4*s - t*x + 9 = -6, -s - 5*x = -2. What is the fourth smallest value in 0.5, -1\/4, -4, s?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -205*n + 2*n**2 + 244*n - n**4 + 0*n**3 + 0*n**3 wrt n.\nAnswer: -12*n**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**4*c))\/(c**(-2\/19)*c))\/(c\/c**30)**(-43) assuming c is positive.\nAnswer: c**(-23786\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 95078*k*q**3 - 47*k*q**2 + 3*k*q - 133507988*q**3 wrt k?\nAnswer: 95078*q**3 - 47*q**2 + 3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u - 6*u + 0*u + (-4 - 2 + 3)*(-2*u - 4*u + 3*u) - u + 0*u + 0*u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0985655 minus -1838.88?\nAnswer: 1838.9785655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -31*v - 393. Calculate h(-7).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(28\/(-5)))\/((363\/33)\/77).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 3 - 5 - -9 - 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 23*h**2 + 2271*h - 23*h**2 + 2281*h - 127*h**3 - 4552*h.\nAnswer: -127*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -11662.5, 6, 2 in increasing order.\nAnswer: -11662.5, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 156520766696862 and 0.3.\nAnswer: 156520766696862.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a + 3. What is the remainder when y(3) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000028111 to six decimal places.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 8:09 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1298284458774 - 0.2?\nAnswer: 1298284458773.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 8:03 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 8 - 4 + 4*f - f + 5*f. Let b be y(5). Suppose 8*j = 6*j + b. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 157*q**2 - 3*q - 35. Let l(o) = 141*o**2 - 2*o - 34. Determine 2*j(a) - 3*l(a).\nAnswer: -109*a**2 + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 7. Let p = -5 - -5.06. Let n = 2.94 + p. Sort a, 0.1, n in descending order.\nAnswer: n, 0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 + 1 + -2 + -1. Find the common denominator of (-34 - 1)*1\/(-11) and 250\/(-42) + g\/14.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*c + 13*c = 40 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z**2 - 55*z**2 - 42*z**2 - 11*z**2 + 23*z**2.\nAnswer: -76*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16398\/7 + -16400\/7. Let b = -1 + -1.1. Sort b, 1, 0.3, x.\nAnswer: b, x, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -14*f - 11*f - 10*f + 34*f. Let z(l) = -3*l - 15. Calculate z(i(x)).\nAnswer: 3*x - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6116 + -6113. Solve -u*z + 22 = 19*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1429\/63 in 226, 0.5, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q - 4. What is the units digit of m(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and ((-2)\/(-3))\/(8\/((-48)\/(-2))).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2833075 is divided by 128774.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, q: 5}. Give prob of picking 3 q and 1 b.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*g - 1706 = -198. Calculate the highest common divisor of g and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 320 = 4*k + 7*d, -3*k + d + 244 = 0. What is the remainder when k is divided by 44?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -37, -47, -43, -19, 31?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*v + 960 = -833 + 1298 for v.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 6006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(-8) + 2\/8. Let y(x) = 221*x**3 + x**2 + x + 1. Let r be y(n). What is the common denominator of 37\/20 and 4\/(-10) + 542\/r?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -318 in 0.3, 1, -1\/13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -2 (c) 1 (d) 1\/9 (e) 87614\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -2. Suppose 3*t = 4*t - p - 8, 3*p - 1 = -2*t. What is the closest to 2\/5 in t, 0.09, f?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6017712 a multiple of 1772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -14610102 (base 7) to base 13\nAnswer: -39c0ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4*6\/112*53448\/(-2358)\nAnswer: -34\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-9))\/(c\/(c*(c\/(c**15\/c))\/c*c)*c) assuming c is positive.\nAnswer: c**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -95.157848 + 95.05. Let h = -1.308308 - z. Let v = h + 1.2. What is v rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 9:05 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -11, -11, -1, 25, 73, 149, 259?\n\"Answer: j**3 - j**2 - 4*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mzm when three letters picked without replacement from {m: 4, l: 3, z: 3, q: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*u**2 + 34*u**2 + 15*u**2 + 42*u**2 - 120*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -147717 divided by -3.\nAnswer: 49239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3349*h + 40. Let t(c) = 224*c. Give l(t(n)).\nAnswer: 750176*n + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -78 - -79. Let f be (l - -2)*100\/4. Calculate the highest common factor of f and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 8*v**2 + 10*v - 2. Let d(b) = 2*b + 3. Let c be d(3). What is the units digit of l(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 62 = -2*t, 6*k - k - t + 59 = 0. Let x(y) = -y**3 - 13*y**2 - 11*y + 8. Let w be x(k). Let d = 7 + w. Solve -d*b + 6*b = -3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001226 rounded to 5 decimal places?\nAnswer: -0.00123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7869061mg to tonnes.\nAnswer: 0.0000000007869061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13585 plus 0.31371?\nAnswer: -13584.68629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 5*u**2 - 2*u - 7. Let l be p(6). Suppose 4*g + 15 = -l. Find the common denominator of 1 - 3 - 388\/g and 93\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.5 times -1?\nAnswer: 16.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + 29 - (-10)\/(-14).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 85850640, 171701281, 257551922, 343402563, 429253204, 515103845?\n\"Answer: 85850641*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -142\/3 + 881\/15. What is the common denominator of n and -51\/25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.5 (b) 0.6 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -10*s**3\/3 - 17*s**2\/2 + s. Let m(z) = 8*z + 64*z + 6 - 65*z. What is -4*i(a) - 11*m(a)?\nAnswer: 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**3 + 11*b**2 + 10*b + 18. Calculate d(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12092610 a multiple of 1810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5063 (base 12) to base 3.\nAnswer: -102221210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3*(5 + (sqrt(91)\/sqrt(7) - sqrt(13))**2).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34\/3, -370, -5.\nAnswer: -370, -5, 34\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1\/4, -30, -0.3, -0.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 11*z + 81. What is x(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 416*v + 2*v**2 + 0*v**2 - 203*v.\nAnswer: 2*v**2 + 213*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*k**2 - 39966925425*k + 39966925425*k.\nAnswer: -13*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/23224971 and 37\/2369895?\nAnswer: 116124855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3206 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 14 = 4. Let d = -57 - -60. What is the greatest common divisor of r and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.51 - -0.5. Let y = -0.552 + 0.5419977. Let x = i - y. What is x rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**2 - 3*b**2 + 4*b**2 + (4*b + 0*b - 5*b)*(2*b - 5*b + 4*b) + (2 - 2 + b)*(-2*b - 1 + 1) - 6*b**2 + 4*b**2 + b**2.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 165.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3024 - 288 = 16*v. Let m = v - -301. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-2)*(-16)\/(-12). Suppose -t*u = -5*g - 63, 0 = 3*u - 3*g + 7*g - 60. Calculate the remainder when u is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y = 7*y + 12*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -40*s + 2. Let w(c) = -22*c**2. What is w(u(i))?\nAnswer: -35200*i**2 + 3520*i - 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(117)\/sqrt(9) + (sqrt(1053)*3 - sqrt(1053)) + sqrt(1053) + sqrt(13))**2.\nAnswer: 14157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2680*o - 98*o**2 + 2675*o - 5359*o as r*o + p + q*o**2 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 23 + 565 = 0. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 50326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 0, 2\/5, -11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43049 + 12884. Let c = -1447829\/48 - h. Calculate the common denominator of c and 63\/8.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 2*f**2 - 4*f + 3*f - f - 9*f to the form m*f**2 + v*f + d and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 23 = -0*l + 4*s, 16 = -2*l - 5*s for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u - 13*u**3 + 6*u + 11*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3722 (base 9) in base 15?\nAnswer: c4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/10 and 29\/10693698?\nAnswer: 53468490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4*i = 2*i + 20, 4*i - 14 = 3*r. Let n(p) = -7*p + 11. Let k be n(r). Which is the nearest to k? (a) 1\/4 (b) 2\/7 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17\/11 + -428\/99. Find the common denominator of -33\/283 and r.\nAnswer: 2547","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-33)\/(-18))\/11)\/((-2)\/(-12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1114 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*h**3 + 9609*h**2 - 14*h + 3665229.\nAnswer: 15*h**2 + 19218*h - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h - 7. Let c be a(5). Suppose c*f + 2*j = 5, 5*j + 5 = -20. Is 966\/10 - (-2)\/f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.91 and 2.\nAnswer: 2.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xxxxxxxxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eueuxauu.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*y - 7*y = -4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/15 + 74*y**2\/15 - 124*y\/15 - 112\/3.\nAnswer: -2*(y - 35)*(y - 4)*(y + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.22 - 0.2. Let d = 3.48 + y. Let s = d + -4. Sort s, -1, 2 in descending order.\nAnswer: 2, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in 12, 0.2, 25?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/23))**0*(i\/i**(-22)*i*i)\/((i\/(i\/(i**(2\/5)*i)))\/i))**(2\/141) assuming i is positive.\nAnswer: i**(82\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*r = 62*r. Suppose r = 8*l - 1490 + 394. Is 30 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 2*q = 142, 223 = -8*o - 1654*q + 1653*q for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.88 + -5. Let w = 50.88 - 47. Let b = w - s. Sort -3, b, 1\/4.\nAnswer: -3, 1\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 7*c**2 - 4*c**2 - 21*c**2 + 78*c**2 - c + 2. Let x(b) = 2*b**2 + 7*b + 1. Calculate the remainder when p(1) is divided by x(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 99 = 5*o. Suppose w + 2*w = o. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4436 or -2093247\/472?\nAnswer: -4436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uubxbq. Give prob of sequence buu.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxhicdcdiexdcdiccxc. Give prob of sequence cd.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + c**2)*(3*c + 2 - 4*c + 3*c) + 52*c**3 - 17*c**3 - 3*c**3 to i*c**2 + j + d*c + t*c**3 and give t.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/18*(21 + 8487\/(-322))?\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28575459.\nAnswer: 3, 11, 31, 9311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/2))**(-3\/8)*(u*(u*u\/(u\/((u*u\/(u\/(u\/(u**(1\/7)\/u))))\/u)*u)*u)\/u)\/u*(u*u**(-1\/9))\/u assuming u is positive.\nAnswer: u**(1571\/1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 0*f + 0*f - f - 3 + 2. Let r be x(-3). Suppose r*p - 3*t = 3, -2*p + 1 = -4*t - t. Sort 5, 4, p in increasing order.\nAnswer: p, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*4 + -1 + 3)**2*-5 + (3*sqrt(18) + sqrt(800))**2 + 1.\nAnswer: -80*sqrt(2) + 1503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15846807 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 13*x**2 - 12*x - 7. Let z(s) = -s**3 - 14*s**2 - 13*s - 9. Let y(n) = 7*k(n) - 6*z(n). What is y(-7)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6170, -24483, -54992, -97691, -152574?\n\"Answer: u**3 - 6104*u**2 - 8*u - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39462077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - y + 12. Let l be d(0). Suppose -9*o + 12 + 15 = 0. Solve s + l = -o*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97142946 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1543*t = -6*s - 1540*t + 54, 8 = -t for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 2 = -28*s + 27*s, 0 = 3*w + 3 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3026 and 3099474?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h - 47 + 59 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2319118 divided by -3?\nAnswer: 2319118\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 1.9, 71, 0.2, -2\/9?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-4) - (5331\/(-42) + (-4)\/56)\/2\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*z = -7*z + 105*z + 1458 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 153221779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, i: 14, p: 2, m: 1, c: 1}. Give prob of sequence cp.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -480.64 + 481.16429. What is b rounded to 2 dps?\nAnswer: 0.52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13951739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0 + (-7 - 0 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2638 + -2547. What is the remainder when k is divided by 58?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*m + 2. Let i = 0.5361 + -0.2361. What is the fourth biggest value in m, 0.5, i, -6\/11?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-48 - -15) - 69?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2872590*j**3*x**2 - 38*j**3 - 2*j**2 - 2*j*x - 10*j + 22*x wrt x?\nAnswer: -5745180*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3208 - -3126. Let o = 16 + -7. Suppose o*g - 2 = 7*g. Which is greater: g or p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8592144541.\nAnswer: 41, 1621, 129281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -c*g**3 + 3*c*g*n + 6*c*g*p**2 + 2*g**3*n + 14*g**2*n*p**2 + 8*g**2*n*p wrt c.\nAnswer: -g**3 + 3*g*n + 6*g*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u. Suppose 6*l = -79 + 103. What is c(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46934795?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4*(-1)\/(-14))\/((-27)\/(-21)). Let z(s) be the first derivative of -1 - n*s**3 - 1\/3*s**2 + 0*s. Factor z(v).\nAnswer: -2*v*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iciiccicxiiicccxcci. Give prob of picking 1 x and 1 c.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -828065 (base 10) in base 16?\nAnswer: -ca2a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244*f - 534400 = -92*f + 2*f. What is the lowest common multiple of 480 and f?\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h + 24 - 24)*(5*h**2 - 10*h + 10*h) + (5*h - 5*h + 7*h)*(2*h**2 - 6*h**2 + 2*h**2) - 4*h**3 - h**3 + 4*h**3.\nAnswer: -45*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 44761.\nAnswer: 9\/44761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/12*6*(-128)\/12. Suppose -b + v = b. What is the derivative of 34*g + b + 10 + 7*g wrt g?\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/144858 and 17\/85055789.\nAnswer: 510334734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(4\/(-7))*-2. Let x = w + -1. Calculate the least common multiple of (0 - -6) + x\/(-4) and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 5729*f**2 + 3*f - 3. Is z(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -1084*b + 9693. What is f(9)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -8*w**3 + 452*w**2 - 592*w - 191660 = 0.\nAnswer: -35\/2, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(-1)\/7*(-5775)\/(-7425)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, y: 2, m: 1}. What is prob of sequence yy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27002, -7\/4, 0.27, -0.6 in descending order.\nAnswer: 27002, 0.27, -0.6, -7\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h**2 + 7*h - 7. Let z(d) = d**2 + 2*d - 2. Suppose -3*v = 2*v - 35. Determine v*z(b) - 2*s(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280565 is divided by 4129.\nAnswer: 3922","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 1 - 35*r**2 + 38*r**2 + (-r + r + r**2)*(-6 + 5 + 2).\nAnswer: 4*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mfff when four letters picked without replacement from {s: 4, f: 5, m: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ncnncncnnnnnnn. What is prob of picking 3 c and 1 n?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 326196743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 10 = -3*p + 3*i, 26 = -5*p - 4*i for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 5*t + 4. Suppose -2*c + 3*j = -36 + 10, 0 = -c - 4*j - 9. Let x be (-40)\/c - 16\/56. Determine u(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1848.215ml?\nAnswer: 1.848215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -551*g - 24834 + 111441 = -542*g. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k**5\/2 + 557*k**4 + 31361*k**3\/2 - 47051*k**2 + 23174*k + 7644 = 0. What is k?\nAnswer: -26, -2\/9, 1, 2, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.13, 5, -0.2, -7308, 0.4 in ascending order.\nAnswer: -7308, -0.2, -0.13, 0.4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 344 and 774?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 5*p**2\/2 + p - 2. Suppose -14*c + 34 = -16*c. Let w = 15 + c. Calculate s(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31220002 (base 4) to base 8\nAnswer: 155002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*l**2 - 18*l**3 - 8*l**3 - 7*l**2 + 47*l**2 - 19*l**2.\nAnswer: -26*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1077512259 to the nearest integer?\nAnswer: 1025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -77890060.48 to the nearest ten thousand.\nAnswer: -77890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 5*d**2 + 4*d**2 + 46*d - 50*d - 9*d**2 - 3*d**3 + 13*d**2 to g*d**2 + s + k*d**3 + m*d and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c - 2*c + 2*c)*(-2 - 2 - 2 + (-2 + 0 + 4)*(-2 - 5 - 9)) to the form s + h*c and give h.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 2:00 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83168?\nAnswer: 2, 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/7)*v**(-7))\/((v*v**(-7)*v)\/v**(-5\/3)) assuming v is positive.\nAnswer: v**(-71\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -148041, -148128, -148215, -148302?\nAnswer: -148389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0\/(-4)*1)\/1. Suppose c = -2*t + 93 + 23. Let k = -1351 + 1371. What is the least common multiple of t and k?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 - 189084*l - 189087.\nAnswer: 3*(l - 63029)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -16438080, -16438082, -16438084, -16438086, -16438088, -16438090?\n\"Answer: -2*x - 16438078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*r - 47 = p, -3*r + 55 = -p. Let h = p - -58. Suppose -537 = h*s - 2187. What is the highest common divisor of s and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 0*d - 503 = -d, -2*v = 2*d - 250. Suppose v*l = 125*l - 79. Are -78 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3486920 by -1.\nAnswer: -3486920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 4) to base 2.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1837.\nAnswer: 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-12))\/(867\/5202)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -104802473*y + 58572292 wrt y.\nAnswer: -104802473","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 14) to base 3\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -85.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -132 + 197. Let g = -1.03589297 - 63.96421603. Let w = g + s. What is w rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*0*1\/(-2). Let k be 1 + (10\/(-6) - j). Let g = 0.1096 - -4.8904. Sort -2\/11, g, k in decreasing order.\nAnswer: g, -2\/11, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w - 11. Let k(t) be the first derivative of 1\/6*t**3 - 2*t**2 - t - 3. Let v(n) be the first derivative of k(n). What is 8*v(l) - 3*z(l)?\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 23 + 46 - 40*x.\nAnswer: -40*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {t: 7, c: 12}.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - -17. Suppose 68 - 758 = -2*n. Let m = n - 318. Calculate the greatest common factor of t and m.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2 + 4*r + 20. Let z(t) = -2*t**2 + 4*t + 21. Let q(w) = -5*m(w) + 4*z(w). Solve q(l) = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -73 + 4 + 12 + (-1 - (15 - 10)).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -226*n + 12592 + 3002 for n.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 620466678 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 91 - 10 = -w, 0 = -5*w + 3*m + 505. Which is smaller: w or 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -1\/3 (b) 0.427 (c) -36 (d) 0.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29 in 1\/2, -1\/2, 2\/9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1834 = -9*s - 9938. Find the common denominator of -41\/220 and s\/(-60)*(-2)\/16.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.02, -5, 799, 11, 47?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11211 (base 5) to base 7.\nAnswer: -2231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 14*t**2 + 46*t - 25. Calculate p(-9).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -45*a**2 - 17*a - 48 - 564*a**3 + 36*a - 7 + 86*a + 559*a**3 = 0. Calculate a.\nAnswer: -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/12021 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**2 + 2*g**2 - g**2 + (4*g + 6 - 6)*(16*g - 33*g + 8*g).\nAnswer: -38*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11249875 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/92337 and 31\/47313?\nAnswer: 208035261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-11) + 47*(-48)\/(-66). Solve -162 - 2*n**3 - 30*n**3 + n - q*n**2 + 146*n**2 - 19*n = 0.\nAnswer: -1, 9\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*o = -278 - 352. Let p(y) = y**2 - 7*y - 8. Let j be p(9). What is the greatest common divisor of j and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.079? (a) 2\/9 (b) 2 (c) 0 (d) -1412 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - ((-2)\/(-9) - 10\/45). Suppose -3*r = -3*w - 3, 3 = 4*r + o*w - 19. Solve 0 = r*d + 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039247 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*r + 5. Let b = -19607 + 19615. Calculate the least common multiple of b and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-367)\/(-4037))\/(16\/(-66))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -533 - 33*j + 537 - 7*j**2 + 6*j**2 + j**3 + 2*j**3 + j as z*j + i*j**2 + o + m*j**3 and give z.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 171301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5673.665ml in litres?\nAnswer: 5.673665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (774\/39 - 13) + -1 + -6?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -y, 0 = -4*g + 78*y - 76*y + 1753282. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -18 (b) -3 (c) 1\/3 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46861 = 32*k - 231699. What are the prime factors of k?\nAnswer: 5, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from povnmovnxpvxxvpn. Give prob of picking 1 o and 1 p.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*z + 112*z = 676. Suppose -y = u + 326, 9*u = 8*u - 5*y - z. Does 36 divide -1 + 4\/(-2) - (u + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 10 = -2*w, 0 = -x + 3*x. Suppose -3*h + 8 = -h - 2*y, 3*h - 12 = -w*y. Is 3 - 2*(-232)\/h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 3*j + 2*i, 5*i = 2*j + j - 111. Suppose -9*r = 23 + 49. Let s be (0\/(-2) - r)*(-14 + 24). Calculate the greatest common divisor of j and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*d - 171*d + 51 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7363, -29217, -65641, -116641, -182223, -262393, -357157, -466521?\n\"Answer: -t**3 - 7279*t**2 - 10*t - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4 = -8. Suppose r + 4 = 4*d, -2*z - 5*d = -38. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 29*p - 599. What is the units digit of k(41)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((-48)\/(-10))\/((-15)\/10)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.79 - -0.21. Let u = -9.6 + s. Which is the closest to 0? (a) 0 (b) -2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 510 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43.8653 + 43.9. Let z = 0.4653 + v. Sort z, 3, -2\/5 in increasing order.\nAnswer: -2\/5, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -402454 (base 7) to base 5\nAnswer: -4140044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5}. Give prob of sequence qqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1071\/8 - -35467\/264. Find the common denominator of 59\/2 and w.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131806 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 333855*p**5 - 8*p**3 + 2286683*p**2 + 2 wrt p.\nAnswer: 20031300*p**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oozosooozkzo. What is prob of picking 3 o and 1 k?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/35)\/((-19)\/(-95))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3163776166.\nAnswer: 2, 19963, 79241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.42 to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q - 1. Let g be j(-4). Suppose b - 17 = g*s + 1, 2*b = 4*s + 28. Solve 5*u - 31 + b = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5701, -17697, -35979, -60541, -91377, -128481, -171847?\nAnswer: -221469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11403845 by 6.\nAnswer: 11403845\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a meter in centimeters?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -5. Let i(k) = -f*k + 2*k + 3*k. Let n(s) = 0*s + s - 3*s. What is n(i(y))?\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3507645\/14 < 250545?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3371339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -1\/5, 0.01, 1 in ascending order.\nAnswer: -3, -1, -1\/5, 0.01, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 74824*l + 1795228. Calculate q(24).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -13*c**5\/120 + 7*c**4\/24 + 11*c**3\/6 + 22*c**2. Let l(x) be the first derivative of k(x). Does 15 divide l(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 646263?\nAnswer: 3, 71807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-4 + 2)) + -1 + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2825857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 + 12 = 4*c - 2*k, -5*c - 2 = -4*k for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o - 2. Let l(w) = -w - 2. Let g(f) be the second derivative of -f**3\/6 - f**2 - f. Let q(s) = -7*g(s) + 6*l(s). Calculate 6*p(y) + 5*q(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 7:39 AM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13381147\/150 - 89208. Calculate the common denominator of s and -53\/20.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22011751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 90, -1, 2, 1247 in ascending order.\nAnswer: -1, 0, 1, 2, 90, 1247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 15, 3, -37, -2 in ascending order.\nAnswer: -37, -5, -2, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 344?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3798, 4841, 5884?\n\"Answer: 1043*m + 2755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 344. Let f be g(0). Let b = f + 483. Suppose -3*c + 72 = 2*l - c, 0 = 4*l + 5*c - b. What is the remainder when 162 is divided by l?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**2 - 3 + 3 - 2*v**2 - 2*v**2 + 2*v**2 + (-5*v**2 + 0*v**2 + 3*v**2)*(-3 + 4 + 0) + 1 - 2*v**2 - 1 - 14*v**2 + 3 + 31*v + 11*v**2 - 26*v.\nAnswer: -6*v**2 + 5*v + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*u + 5*v, -3*v + v + 10 = 4*u. Let g be (-5 - 1)*u\/3. Suppose -l - 6 = -4*l - 3*w, 4*w = 5*l + 17. Sort g, l, -2 in descending order.\nAnswer: l, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (100 - 94) + (1 - 0) + -5 + -6 + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o - 2. Let u be c(4). What is the third derivative of 0*g**4 + 0*g**u - g**2 + g**4 + 2*g**2 wrt g?\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 5*t + 62, -t - 98 = -5*s - 4*t. Suppose -s = -5*o + 1. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 + -2 + (2 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2329 is divided by 755.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b. Let j(d) be the third derivative of 5\/24*d**4 + 0*d**3 - 5*d**2 + 0*d + 0. Give j(v(n)).\nAnswer: -15*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 75.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11560*w**5 + 312448168*w**4 - 10556837862978*w**3\/5 + 8444720429576*w**2\/5 - 1688894095688*w\/5 = 0 for w.\nAnswer: 0, 2\/5, 459469\/34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2. Let f(d) = 3*d**3 + 15*d**2. Let h be -1 + (5 - 3) + 1. What is h*f(w) + 30*p(w)?\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 8*u - 7. Let m(i) = -i**2 + 7*i + 7. Let d(c) = 5*m(c) + 4*y(c). Let t = 12 + -7. Calculate d(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*h + 155836 + 2980411 = 42*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 3:01 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 2*d - 60. Let w be m(9). Solve -w + 17 = 7*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/8*38896\/(-2860)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -6*h + 5. Let r(s) = -5*s + 4. Let z(p) = 4*f(p) - 5*r(p). Let c(y) be the second derivative of -y**4\/2 + 2957*y. Give z(c(i)).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52 + (-50 - -65) + -25.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2212111 + 1220111001?\nAnswer: 2000100112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 51761556 and -25.\nAnswer: -1294038900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23359 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 71968106 and 19431.\nAnswer: 2159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-2) - (-14)\/4. Let u(m) = m**3 - 4*m**2 + 5*m - 4. Let b be u(3). Solve -1 = b*s + z for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-6*(-5*1*sqrt(405))**2 + sqrt(405) + 1 + 1 + sqrt(405) + (-3 + sqrt(405) + -1)**2)*3.\nAnswer: 486*sqrt(5) + 542943","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33318041 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -64, -92?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 8:41 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*f + 182 - 542 = 0. Let i(p) = p**2 - 13. Determine i(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*j - 493945 = 456*j - 3134*j - 177915 for j.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 206\/(-14) - -6 - -9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 7:42 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -107.000071 - -107. Round t to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -0.3, 193?\nAnswer: 193","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -4. Suppose -2*f = n - 2, 0 = 2*n + f - 0*f - 7. Suppose 0*i - 5*i = 20, 0 = 2*a + 2*i + n. Solve u*t = -a - 18 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 6*c**2 + 7916*c - 31749. What is a(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16980 + 32809\/2. Let m = d + 576. Factor -1\/2*n**2 + m + 1\/2*n - 1\/2*n**3.\nAnswer: -(n - 1)*(n + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 5*x + 35, -2 = -3*y + 3*x + 37. Let f(m) = m**2 + 5*m - 1. Let t be f(-6). Suppose 25 = t*d + y. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -4. Suppose 3*n - 7 = -5*j, 4*j - 3*j + a*n + 2 = 0. Solve -j*o = 3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 871 + -457. Suppose -12*t + r = -6*t. List the prime factors of t.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o**2 - 77*o + 46. What is the remainder when h(-14) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1707931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of x**9\/80640 + x**8\/26880 - x**7\/3360 - x**5\/3 - 31*x**2. Let b(o) be the third derivative of q(o). Factor b(r).\nAnswer: 3*r*(r - 1)*(r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41769 and 162513.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4e42e0 (base 15) to base 14.\nAnswer: 6dc5aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1231037 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6497.81ml to litres.\nAnswer: 6.49781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 2*q + 46 = 0, -1273*s - q = -1268*s - 65 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 63 + -202?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 7:11 PM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2313*l + 19106 = 8385*l - 11254 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -266923, -533849, -800775, -1067701, -1334627, -1601553?\n\"Answer: -266926*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 1:30 PM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 + -27. Suppose -3*r - 5 = s. Calculate the smallest common multiple of 20 and (-1)\/(r*3\/120).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1815 + 1810. Put s, 8, 6, 4 in descending order.\nAnswer: 8, 6, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -18. Let y = -0.12 + 0.42. What is the nearest to 1\/2 in -2, w, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2\/7)*a**5*(a*a**(-3))\/(a\/(a\/(a**(2\/19)*a*a))))**(-50) assuming a is positive.\nAnswer: a**(-10700\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-51)\/6 + (-1)\/2. Let b be a - -4 - 1*-1. What are the prime factors of (b\/(-5))\/((-2)\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 3*b + 2. Let c be s(3). Calculate the highest common factor of 5 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/3570*12*-51\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: a4589 (base 12) to base 15\nAnswer: 43aec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1 - (-166 + 148 - (-2 + -66))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, 568, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8190, -8204, -8232, -8280, -8354, -8460?\n\"Answer: -g**3 - g**2 - 4*g - 8184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 9 - 3 = 0, 3*k - 2*r = -18 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-3 + sqrt(242) - sqrt(242)) - 4*(sqrt(242) + -1) - -2*6*(sqrt(242) - (-1 + sqrt(242))*-1))**2.\nAnswer: 4400*sqrt(2) + 96900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 8*h = -4*h - 244, -214 = -2*t + 2*h. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 270455 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 1096.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.3 + 2.3000042. Round v to 7 decimal places.\nAnswer: 0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - p - 22 = 3*p, -3*h + 28 = -p. Let q be (5\/2)\/((-4)\/(-16)). Suppose 4*k + q = h*k. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 21*i**2 + 19 - 14 - 5. Let c(d) = 2*d**2. What is c(a(w))?\nAnswer: 882*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dv when two letters picked without replacement from {i: 1, h: 5, v: 3, d: 7}?\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -98*v**5 - 20538*v**4 - 11320*v**3 + 80480*v**2 + 46848*v + 6688 = 0.\nAnswer: -209, -2, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 5*j**2 + 3*j + 1. Let m(t) = t**3 - 5*t**2 + 4*t + 2. Let b(k) = -2*m(k) + 3*v(k). Let h be b(5). Solve f + 15 = h*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 30\/(-7 - 1014\/(-144)). Calculate the greatest common divisor of a and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 u when two letters picked without replacement from {u: 1, n: 2, i: 2, b: 4}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 446 - 306. Let q(s) = -51*s + z*s + 4 - 43*s - 45*s. Give q(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z - 10*z = 2. Suppose 2*y - h = -1, h = 4*y - 6*y + z. Suppose y = 3*o - 5*o + 72. Calculate the lowest common multiple of 11 and o.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*3*(-4*(sqrt(171) + 2))**2 - (1 + -6*-2*sqrt(171)*1).\nAnswer: 540*sqrt(19) + 8399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27638, 55302, 82964, 110624, 138282, 165938, 193592?\nAnswer: 221244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w + 6. Let r be n(3). Let c = -13 - -16. Suppose c*z - 4 = 2. Solve -z*y - r + 9 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2 = 5*t. Let y = 9 - 9.1. Let o = -228 + 240. Which is the nearest to 1? (a) y (b) o (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*o = -13*o + 27735. Let l = -643 + o. Solve l*x - z = -8, x - 2*z = 3 - 4 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/3 in 2\/3, 0.5, -4.1, -2856, -0.5?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i. Let w = 1 + -1. Let x be 0 - 3\/6*w. Let r(k) = -k + 0*k + x*k. Give f(r(l)).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 - -21. Let f be (5696\/m)\/((-1)\/(-3750)). Round f to the nearest 100000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1160 and 4640?\nAnswer: 4640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -1. Suppose -2*a + 6*a = j. Let k be (1\/2*0)\/a. Solve 5*v + 0*v + 15 = k for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.9 - -6. Let h = -30272.5 - -30273. Which is the second smallest value? (a) -1\/4 (b) h (c) -3 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 931 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4780112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 638, 786, 934, 1082?\nAnswer: 1230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 15, 2.\nAnswer: -1, 2, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.03 (b) 3 (c) 3\/38 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a0 (base 11) to base 14.\nAnswer: -127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -478 - -2393\/5. What is the third smallest value in -3, -188, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -6955*l = -6881*l - 1554 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -44\/5, -4, -1\/2, -1\/5 in decreasing order.\nAnswer: -1\/5, -1\/2, -1, -4, -44\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 384*i + 7629. Give t(-20).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1023 - -1018.91. Let h = -0.09 - j. What is the biggest value in -0.1, -4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1.99 and -25\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 750.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, k: 4, r: 4, d: 2, j: 5}. Give prob of picking 3 r.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11029, -11034, -11043, -11056, -11073, -11094?\n\"Answer: -2*a**2 + a - 11028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 214702473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -20. Let i be -46*3\/d*5. Is (i\/(-3))\/(12\/(-54)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 15, -4 + 1 = -5*b + 4*k. Suppose b*f + 1 = 5*a, 0 = 5*f - 16 + 1. Calculate the remainder when 11 is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74 by 5.\nAnswer: -74\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 4*m + 8, -5*m + 11 = -0*k + 4*k. Suppose -5*c + 3*n = 5*n - 12, c + k = -2*n. Let u be 5 + (8\/c)\/2. Solve p = -2*p + u for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12469477470 to the nearest 1000000.\nAnswer: 12469000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 413 and 22951.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/23)*h*h**(-6)\/h*h)\/(h**4\/h*h**(-5)))**(-43) assuming h is positive.\nAnswer: h**(2881\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157636 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 172, 225, 224, 145, -36?\nAnswer: -343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 459325 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wgf. Give prob of picking 1 g and 1 f.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 5*p + 70. Let n be u(-13). Solve 0*i = i - n for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 - -45. Suppose -3 = u*y - 17*y. Sort 21, y, 0.1 in descending order.\nAnswer: 21, y, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14557354 divided by -259.\nAnswer: -56206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**3 - 39*j**2 + 24*j + 73. Give r(-20).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 56 = -14*d, -317*d + 316*d + 4 = -2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/2 and 85\/144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - 3*m + 9. Let d(a) = -4*a - 30. Let h be d(-5). Let u(k) = k**2 + 6*k - 32. What is the least common multiple of m and u(h)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**3 - 188*y**2 - 188*y - 151. Give h(-93).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(675)\/sqrt(9))**2 + -4 + -3.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.43244mg in grams?\nAnswer: 0.00643244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 184677 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*d - 6. What is the units digit of d\/1 - 16\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*a**3*h**2*v - 3*a**3*h**2 - 2*a**3 - 36*a**2*h**2*v - 14*a**2*h wrt v?\nAnswer: -11*a**3*h**2 - 36*a**2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30030\/(-1092))\/((-429)\/26).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 8*u. Let s(t) = 101*t**2 - 14*t. Let o(d) = 51*d**2 - 8*d. Let m(y) = 7*o(y) - 4*s(y). Determine m(j(h)).\nAnswer: -3008*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-5)*(p\/(p\/(((p\/((p*p**(-1\/3))\/p))\/p)\/p)*p))\/p*p*(p**(-4))**(2\/9) assuming p is positive.\nAnswer: p**(-68\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/504 and -113\/84.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 + -0.1. Let t = h + 2.5. Let u be 49 + -32 - 665\/40. Is u at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 7*a - 2*a - 32, -2*a + 24 = 4*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3545, 3762, 4359, 5528, 7461, 10350, 14387?\n\"Answer: 32*h**3 - 2*h**2 - h + 3516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/2 and 8439\/8082 - -4*6\/(-24).\nAnswer: 2694","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + f**2 - f + 1. Let v be (-2)\/8 - 2\/(-8). Let y be h(v). Let d be y\/(5\/3)*5. Solve 0 = -3*l - d for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9860517127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5*sqrt(275)*2 - (sqrt(275) - ((0 + sqrt(275))*6 - sqrt(275))))*-6*-5.\nAnswer: 4500*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 4*n**2 - n - 4. Let m = -4 - -8. Let a = 15 - 11. Suppose -4*s + 5*s = m*c + a, 4*s + 3*c - 16 = 0. Give f(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4002, 15989, 35950, 63885, 99794?\nAnswer: 143677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*f + 36 = 4*g, -3*g - 1 = -4*f. Let j = -1\/5 + 17\/35. Solve 4\/7*t + 8\/7*t**3 + 0 - 10\/7*t**2 - j*t**f = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -16*b**3 + 3*b**2 - 11*b - 3. Let q(p) = 47*p**3 - 8*p**2 + 32*p + 8. Let t(k) = -3*q(k) - 8*z(k). Find the second derivative of t(d) wrt d.\nAnswer: -78*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 192000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 x when two letters picked without replacement from {z: 5, b: 1, x: 5}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27417 + -27417.00025073. Round i to 5 dps.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, -1, -1.7, 2\/5, 6, 1\/3 in decreasing order.\nAnswer: 6, 2\/5, 1\/3, -2\/15, -1, -1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 6*c - 17. Suppose 0 = 9*h - 10*h - 14. Is 19 a factor of s(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 42*i**2 + 26*i**2 + 27*i**2 + 314*i - 314*i. Let a(k) = -5*k**2. What is v(a(j))?\nAnswer: 2375*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*c - c = -576, 4*c = 3*u - 339. Let h = 197 - u. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -3*h**2 - 1\/60*h**5 + 0*h + 0 + 0*h**4 + 0*h**3. Let a(v) = 18*v. What is a(d(w))?\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22741996?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 225407239 to the nearest integer?\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c - 5. Let q = 40 - 61. Let h be (-18)\/(-42) - 369\/q. Suppose 2*g - 6 + h = 0. Determine o(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -385 + 131. Let c = j - 17. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36842 + -36843. Let d = 17.6 + -20. Let i = d - -2. Which is the closest to -1? (a) -4 (b) i (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, 0.2, -0.5, 96?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - w**2 - w + 6. Let g be k(0). Suppose -g*q + 5*q = -9. Suppose -2*x + 64 = 4*b - x, 12 = 3*x. Calculate the remainder when b is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (2\/11 + (15 - (-8262)\/(-792)))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5411917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*y - 203 = -65. Suppose -3*f + 0*l = 2*l - 8, -12 = -2*f - 3*l. Put -14, -1, y, f in increasing order.\nAnswer: -14, y, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x - 12 + 14 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 44333670, -2 in ascending order.\nAnswer: -2, 3, 44333670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -1302, 1, -3, 2 in decreasing order.\nAnswer: 2, 1, -0.5, -3, -1302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + 10*3\/2. Let j = -11 + z. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 4*o - 361, 5*o + x - 4*x - 461 = 0. List the prime factors of o.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 22202212?\nAnswer: -22210001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-21) - 1729\/(-637)?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*(w*w\/(w\/(w*w*(((w\/w**(3\/4))\/w)\/w*w)\/w*w))*w)\/w*w**1\/w*w*w**(-4\/9)\/w*w*w**(-1\/2) assuming w is positive.\nAnswer: w**(119\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(1\/2)\/c))\/(c\/c**0)*(c*c\/(c**(1\/3)\/c*c))**25*((c\/(c\/((c**(-7)*c)\/c))*c)\/c)\/(c**0\/c)*c**(-8)\/c*c**(1\/6) assuming c is positive.\nAnswer: c**(82\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a milligram in micrograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 11:33 AM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*v + 5*v + 90. Let k = v - 43. Let j be (2 + -8)*(-9)\/18. Solve -k*z = 2*h - 4, 4*h + z - 20 = j*z for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2 = 10. Let z(y) = -11 - 19 + y + 43. Let q be z(w). Calculate the greatest common factor of 27 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1700) + (3*(sqrt(1700) + -1))**2.\nAnswer: -170*sqrt(17) + 15309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.27 + -205598\nAnswer: -205598.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 7\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/14072984 and 81\/1858696.\nAnswer: 98510888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {a: 5, p: 8}.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 31. Suppose -n + t + 5 = 0. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + 15*i + 24. Calculate the lowest common multiple of j(-14) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 6852105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/9, -2\/9, -1, -0.1, -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1121 - -211?\nAnswer: 2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 23, 24, 11, -22?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1905130 divided by -19\nAnswer: -100270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1377 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3419*p - 3017*p + 2)*(-2*p**2 + 0*p**2 + 0*p**2).\nAnswer: -804*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-3\/7)\/x**(5\/6)*x**(-1)\/x**(-1\/6)*(x**3\/x)\/x**(1\/5)*x\/x**7*(x**0*x)\/x assuming x is positive.\nAnswer: x**(-661\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3508.\nAnswer: 2, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (-2 + sqrt(18)\/sqrt(6)))*-2)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/(-2))\/(1*-2). Suppose 3*w + g*w - 2*i - 66 = 0, -w - 2*i + 14 = 0. Suppose -3*h - 2*h + w = 0. Solve 8*r - 8 = h*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 3*t**2 - 4*t. Let d be c(-2). Suppose d*n + 21 = 9. Sort -8, -2, n, -1.\nAnswer: -8, n, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 139467*j**2. Let g(p) = -2*p**2. Calculate g(b(y)).\nAnswer: -38902088178*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-6 + (-19 + 8 - -1 - -4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3462.9705 to 1 decimal place.\nAnswer: 3463","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 23. Let u = i + 8. Solve w - 13 = -2*w + 4*g, -2*w - 14 = u*g for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/180 + 29\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15818 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 1 - 3)*(8*l - 5*l**4 - 8*l) as r*l**3 + u*l + d*l**2 + p*l**4 + x and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/6 in -0.4, 0.2, 121?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29943*y - 140760*y + 10298*y.\nAnswer: -160405*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*p + 16*p - 10651*p**3.\nAnswer: -10651*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 3:50 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4077?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**2 + 10177018*q + 20354040 = 0. What is q?\nAnswer: -2, 10177020","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 3.2. Let d = -1.2 + m. Let k = 0.1244 - 0.5244. Put k, -4, d in ascending order.\nAnswer: -4, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {d: 5, n: 7}?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 e when four letters picked without replacement from {m: 3, u: 1, f: 3, e: 3, j: 2, d: 4}?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m + 33. Let o be f(11). Let c(q) = 2*q + q + o*q - q. Let a(h) = 7*h**2. Calculate c(a(x)).\nAnswer: 14*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -34889\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3046116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2730807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = 110*p - 473 - 63. Solve 4*h - 4*q = -3*q - 26, -p*h - q = 22 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.3, 618892 in increasing order.\nAnswer: -4, -0.3, 618892","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -2*x - 18. Let p be (3 - 1) + 2 - -4. Let c = p - x. Is 1\/4 greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*k - 49*k = -18*k - 102480. What is the smallest common multiple of k and 18?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -28555, -57093, -85619, -114127, -142611?\n\"Answer: l**3 - 28545*l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**5 - 2*p**5 - p**5 + (2*p**4 - 4*p**4 + 0*p**4)*(-p + p - p) + p**5 - p**5 + p**5.\nAnswer: p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001101000001111111000000 + -1?\nAnswer: -10001101000001111111000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 379281.\nAnswer: 3, 7, 18061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*k - 51008 + 207444. What are the prime factors of k?\nAnswer: 2, 37, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l**3 + 4*l**2 - l - 2. Let y be v(-4). Let b = 245 + y. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3052)\/(-981))\/((-6)\/(-9))*(-6)\/(-84). Factor o*k**4 + 32\/3 - 2*k**2 + 32\/3*k - 5\/3*k**3.\nAnswer: (k - 4)**2*(k + 1)*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b*r**4*s + 85456*b*r**4 + 144*b*r**3 + 2*b*r**2*s - 6012*b*r**2 - 5*b*r - b*s - 3*b + 26*r wrt r?\nAnswer: 48*b*r*s + 2050944*b*r + 864*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, p: 1, u: 7, h: 5, d: 1}. What is prob of picking 1 d and 2 u?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 8*u**2 + 9. Let w(y) = y**3 + 2*y**2 - 32*y + 1. Let g be w(5). Let d be z(g). Let k be 17\/d*(-2 - 0). Which is bigger: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o = -n - 118, 13*o + 209 = -n - 42 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -343.71 + 325.71. Which is the third biggest value? (a) 13\/8 (b) 0.3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4234 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1363 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/429 and 25\/48994.\nAnswer: 1910766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 19*n**2 + 748*n - 757*n - 1 + 2*n**3 - 2. Determine m(-10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s - 3532. Let p(j) = -j. Give t(p(a)).\nAnswer: 2*a - 3532","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 4:30 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**2*r**2 - 3*a**2*r*s**2 + 2*a**2*r - a*r*s**2 + 3*a*s**2 + 3541*r**2*s**2 - 68*r*s**2 wrt r?\nAnswer: -2*a**2 + 7082*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuziiiiziibzizuiiim. What is prob of sequence bz?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14619438 a multiple of 675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 96*r - 1156. Determine t(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4\/7 - 456*o**3\/7 + 5280*o**2\/7 - 20864*o\/7 + 27648\/7.\nAnswer: 2*(o - 216)*(o - 4)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zqw when three letters picked without replacement from wwqbwzwwwqzwwwqqzwwq?\nAnswer: 11\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 202665, 810606, 1823823, 3242316?\n\"Answer: 202638*v**2 + 27*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -m - 10, -5*m = -4*p - p. Suppose p = -5*t, 0 = -o + 7*t - 2*t + 1155. What is o rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qeaexrrrrrxarrarv. What is prob of sequence aqx?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, f: 4, q: 1}. What is prob of picking 1 q and 1 f?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 429*a**3 - 6*a**2 + 3*a - 8. Let f(d) = -856*d**3 + 14*d**2 - 7*d + 18. Determine -3*f(c) - 7*h(c).\nAnswer: -435*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 353 a factor of 49033469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7945703 is divided by 317825?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 498\/60 + (-2)\/(-4)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 10*g + 2. Calculate the remainder when 23 is divided by h(11).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/4)\/h)**(5\/6)*(h**(-5)*h)**42)**(-10) assuming h is positive.\nAnswer: h**(6745\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -726845, -1453587, -2180329, -2907071, -3633813, -4360555?\n\"Answer: -726742*m - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(13) - (sqrt(13) - sqrt(26)\/sqrt(2)))**2 - 4*(sqrt(13) + 2 + sqrt(13)).\nAnswer: -8*sqrt(13) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -790981 = 9735*h - 41386 for h.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 35) + -24 + 36?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 7:44 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*g**3 - 72\/5*g - 6\/5*g**2 - 64\/5.\nAnswer: 2*(g - 8)*(g + 1)*(g + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01782195022 to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*v - 83. Let d = 103 + -23. Suppose g + v = 2*y, -5*g = 7*y - 3*y - d. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5969 + 865 = -8*q. Let u = q + -269. Suppose -957 = -4*l - 4*o - u, -2*l + 300 = -o. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 3 + 9. Put -5, 1, m in descending order.\nAnswer: m, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2 - 48*w + 30. Let a be (-7)\/(-189)*642 + (-4)\/(-18). Let s be h(a). Find the first derivative of -1 - 30*k**2 + 39 + 20*k**2 - s*k**2 wrt k.\nAnswer: -80*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 5*m**2 + 4*m + 4. Let v be l(7). Is -2*(v\/4 - -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 + -5. Suppose 5*h + t = 5. Let z(g) = 6*g + 2. Let a(u) = 6*u + 2. Let m(p) = h*a(p) + 3*z(p). Calculate m(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-24)\/(-18)*51977928\/32. Let v = q - 3640747. Round v to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -392\/39423?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2421356551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22088, -175236, -590922, -1400414, -2734980, -4725888, -7504406, -11201802?\nAnswer: -15949344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-10))\/(252\/980*-7).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/10, 1, 4\/3 in decreasing order.\nAnswer: 4\/3, 1, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -71463*i + 71218*i + 8085 for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 868\/220 + 1 + (-10)\/2. Which is the second biggest value? (a) -2\/3 (b) j (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**2*k**2*n**2 + 471*d**2*n + 2*d*k**2*n + 6*d*k*n**2 + 2*d + k**2*n wrt d.\nAnswer: -4*k**2*n**2 + 942*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*p = -819*p + 4225*p + 28760 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12819?\nAnswer: 3, 4273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -5*x + z + 1175, 3*z + 252 = x. What are the prime factors of x?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (13 + 2695\/(-143))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1459 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -107 + (10\/30)\/(1\/6). Let i = y + 104. Let j(n) = 4*n**3 - 1. Calculate j(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 12 = -2*f - 0, 4*t - 4*f = 0. Let s be (-1 - 0) + (-3 - -6). Solve -5 = -c + s*v - 6*v, 15 = t*c + 2*v for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - n + 812, 0 = -4*f - n - 568 - 517. Let z = 711 + f. List the prime factors of z.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 2. What are the prime factors of (-3)\/n + 62\/3?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2732722105 and 545?\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h. Suppose 17*l - 6*l = 6*l. Let q(x) be the third derivative of 0*x**3 - 3*x**2 + 0*x + l*x**4 + 1\/60*x**5 + 0. Determine p(q(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/5664*6)\/(6\/67372). Let a = i - 88\/59. Is 94 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-9)*(-141)\/47*-105.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -123, -228, -337, -456, -591, -748, -933?\n\"Answer: -l**3 + 4*l**2 - 110*l - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 0*l + 7 = 3*i, 5*i - 2 = -3*l. Suppose 2*m + 4*k + 36 = 0, -2*m + 3*k + k + 4 = 0. Let f be ((-36)\/m)\/3 + -2. Sort i, 0.3, f in decreasing order.\nAnswer: i, 0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3537)\/524*192\/(-54)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171846606.\nAnswer: 2, 3, 28641101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/3)\/(10\/375). Suppose -26 = -29*m + 28*m. Is m > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + g = 2*v + 1, 4*v - 16 = 0. Suppose -2*n - 4*b = 3*n - 54, -2*b + 42 = 4*n. Let t(i) = -i**2 - 3*i + 4. Let f be t(-3). Solve -g*w - f = -n for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -165*v**2 + 830*v - 23. Determine m(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -30 + -a35497?\nAnswer: -a354c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-512)\/64 - -7)*2*-1*5. Solve -10*c + 9*c = -5*f + m, 0 = 4*c + f - 2 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 7:44 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.04 (b) -4 (c) -0.0114 (d) 0.1 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2 + 8 = 5*t, -2*t = -5*l - 25. Let j be -2*(t - -7)\/63. Suppose -2*g = 2*g. What is the closest to g in -2\/5, 0.1, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + p**2 - p. Let c(r) = -18*r**3 + 15*r**2. What is c(d) - 15*z(d)?\nAnswer: -3*d**3 + 15*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -19*b**2 - 478*b - 33. Let l be i(-25). Solve -2*d - 4*y = 16, 3*d - 26 = 46*y - l*y for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a microgram in nanograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/18*-2*(-3 + 9). Let v(g) = 8*g + 4. Determine v(p).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + x - 26 = 0. Let v(z) = -2*z**2 + 9*z. Let u be v(-11). Calculate the remainder when (-62)\/u + 262\/11 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 357, 717, 1067, 1401, 1713, 1997, 2247?\n\"Answer: -l**3 + l**2 + 364*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -374 - 3*y**3 + 374.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4210\/170 - ((-1398)\/306 + 481\/111).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 times -5?\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8312 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 3 + -33)*(-60)\/24. Let d be 122\/18 - 6\/(-27). Let p = d + s. 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 the hundred thousands digit of 6104115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of k**2 + 44*k - 3\/2*k**3 + 1\/12*k**4 + 0. What is u(5)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4609 + 4609 - 34*k + 4*k.\nAnswer: -30*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kfbj when four letters picked without replacement from jkfkjjkkkbmkw.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14305850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-6) + (-32)\/(-6). What is the third derivative of 2*j**m + 88 - 88 - 5*j**2 wrt j?\nAnswer: 240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b - 4. Let r be u(3). Suppose -4*s = -3*a - 158, 109 = -3*a + r*s - 45. Let o = 177 + a. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-8)\/6)\/(134\/138 - 1) is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -37*w - 85. Calculate z(-11).\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 11:01 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.587 - -810884.\nAnswer: 810887.587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4 = 11. Suppose -2 = -k + l. Solve 3*f = k*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -4 (c) -503\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2. Let z be k(0). Suppose -2*p + 3*g = 15, -p + 20 = 4*g - z. Let w be 0 + (-1 - -4)*1. Solve -w*h + 10 = -r, r + 3*r + 3*h - 5 = p for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(2835)*-1 + sqrt(2835)) + sqrt(2835))*4)\/(sqrt(5) - 2*sqrt(20) - (-3*sqrt(80) + sqrt(5))).\nAnswer: 9*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -5334*d**3 - 2*d**2 - 8*d - 7855. Let a(p) = 5335*p**3 + 3*p**2 + 12*p + 7855. Let v(h) = 2*a(h) + 3*k(h). Differentiate v(i) wrt i.\nAnswer: -15996*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 11 = 3*w - f, 4*w + 13 = -5*f. Is ((-5884)\/20)\/(w\/(-15)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -13 (b) 0.3 (c) 3 (d) -14.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*a**2 - 14*a - 34.\nAnswer: 4*a - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_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: What is -9 - (4 - 19) - -8?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39099631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 7*h - 21. Let o be q(-9). Which is greater: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.35 - 1.65. Sort 0.3, y, -1\/2, 2\/17.\nAnswer: y, -1\/2, 2\/17, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1782 - 6?\nAnswer: 1775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 9, o: 1, b: 2, h: 6, i: 1}. What is prob of sequence ht?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*o**3 - 4*o**3 - 9*o**3)*(4*o - 2*o - 4*o) + (-25 + 25 - 14*o**4)*(6 - 7 + 2) as m*o**4 + r*o + i*o**2 + a + u*o**3 and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 156, 9, 4, 3 in ascending order.\nAnswer: 3, 4, 9, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 4825189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -c**5\/60 + 7*c**4\/12 - 7*c**3\/2 + 11*c**2. Let n be r(12). Solve -2*f + 16 = -7*l + 2*l, -n*f = -2*l - 13 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 + -11. Suppose 3*b + 2*s + 3*s = c, s - 5 = -b. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + 2068\/231)*-18.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4\/7 + 614*o**3\/7 - 4331*o**2\/7 + 9924*o\/7 - 7452\/7.\nAnswer: (o - 3)*(o - 2)**2*(o + 621)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*v - 13*v - 98 + 31*v - 76*v**2 wrt v?\nAnswer: -152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 22 = -5*m, 5*m = -0*w - 4*w - 29. Let c be (15\/(-30))\/(w\/14). Suppose -s - 13 = -3*d, -3*d - 3*s + c = 2*s. Solve d*v - 8 = -0*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 32688 + -23459. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6541213516 and -3.\nAnswer: -6541213519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1193 - -4?\nAnswer: -118a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 + -0.3. Let v = -0.2 - -3.2. Let p = v - w. Which is the nearest to 0? (a) -1\/4 (b) p (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 4 = -z + 3, -3*z - 17 = -5*a. Let k(l) = a + 3 - 6*l - 3 + l**2. Suppose 3*o - 4*o = 4*w - 9, 4*o + 4*w - 24 = 0. Give k(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129641 (base 10) in base 14?\nAnswer: 35361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16162957?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**18*c**46*c*c**(-3\/4)*(c**(-9\/8)\/c)\/c)**(2\/39) assuming c is positive.\nAnswer: c**(163\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b - 2. Let h(n) = -n. Let r(f) = 5*h(f) + s(f). Let k(d) = d**3 - 2*d**2 - 3*d - 2. Let w be k(3). Determine r(w).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**3\/9 + 356*v**2\/9 - 18568*v\/9 + 71632\/3 = 0.\nAnswer: -222, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1767 is divided by 118?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o + 0*o - 3*o + (3 - 2 - 3)*(-3*o + 3*o + o) + 2*o + 0*o - 4*o + 3*o - 3*o + 2*o + 7*o - 3*o + 0*o - o + 2*o + 0*o + (-1 + 4 - 2)*(2*o + 1 - 1).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -3278?\nAnswer: -3280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -16450000 to the nearest one hundred thousand.\nAnswer: -16500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 35.71, 90, 1\/2, 4\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z - 4*z - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -14*b**2 - 263*b + 1292. What is h(4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 8. Let u = -8 - -8.1. Let k = 7 - 5. What is the nearest to k in h, 0, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**2 - 243938*f = 0.\nAnswer: 0, 121969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 2*s**2 - s + 15. Suppose -5*u = -u - 0*u. Let y be i(u). Calculate the highest common factor of y and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 3:34 PM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6866524 and 3613960.\nAnswer: 68665240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14283 > 14130?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2065 (base 8) in base 9?\nAnswer: -1426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 1 = 5*o, 5*o - 5*d = -0*d + 25. Suppose -4*u - 2*q = -10, o*q = u - 6*u + 12. What is the common denominator of -45\/32 and (-68)\/(-28) - (-8)\/u?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-132))\/((-12)\/(-16))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 2. Which is the closest to q? (a) -2\/9 (b) 1\/2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 1\/((-3 + -12)\/690)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*q - 36 = 39*q. Let y be (q\/16)\/(-7*1\/(-28)). Let g(h) = -4*h**2 + 5*h - 5. Let d(v) = -7*v**2 + 9*v - 9. Determine y*d(k) - 5*g(k).\nAnswer: -k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, f: 1, j: 1, q: 1, z: 1}. Give prob of sequence jzf.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 972 divided by -36?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 12:50 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1182 bigger than -1183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 238, -7\/3, -5, -3\/8, 0.5 in ascending order.\nAnswer: -5, -7\/3, -3\/8, 0.5, 238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3*n + 105 = 0, 2*n = 12*p - 8*p + 130. Suppose -108 = -2*o - o. Let f = p + o. Solve 3*s = -f, 8 = 3*i + i - 4*s for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**2 - a**2 - a**2. Let n(h) = -5*h**2. Determine n(w(y)).\nAnswer: -5*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 336023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i**2 + 15*i - 2. Let q be a(-6). Find the third derivative of -15*x**2 - q*x**3 - x**2 - 3*x**2 wrt x.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 128812684 and 0.2?\nAnswer: 128812683.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(6)\/(sqrt(128) - -1*sqrt(128) - sqrt(128))*5*-3)**2.\nAnswer: 675\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - x = -4*m, 0 = -5*m - 3*x - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -381 - -227. Let g = q + 298. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*x + 50 = 0. Let y be x\/14*(-2)\/(-5). Which is smaller: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 17.3, -2\/11, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 13*m + 34. Is 14 a factor of x(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23611 divided by 1.\nAnswer: -23611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -1247*a**7\/105 - 1585*a**3\/6 - 1847*a**2. Find the first derivative of h(s) wrt s.\nAnswer: -9976*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/60428976 and 29\/11330433.\nAnswer: 181286928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 2*s - 52 + 4, 0 = -5*c + 3*s - 80. Suppose 4*t + 7 + 1 = 0. Let d be (-1 - t) + c\/12. What is the nearest to 0.1 in 6, -0.5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 16141, 66 in descending order.\nAnswer: 16141, 66, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 122.124673 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -7. Suppose 0 = f*k + 3, -4*d = 2*k - 269 - 145. Suppose d = -0*x + 4*x. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0572, -4, -0.2, 16, -151\/2.\nAnswer: -151\/2, -4, -0.2, 0.0572, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 325440 divided by 5.\nAnswer: 65088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 438 = -2*z, 1 = 4*z - 11. Suppose 7*p = d + 197. What is the smallest common multiple of p and 32?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7\/1235148 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 243 divided by 102870.\nAnswer: 3\/1270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11929096 to the nearest integer?\nAnswer: 3454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 2. Let c be ((-4)\/(-3))\/((-432)\/324). What is the nearest to c in -4\/9, -3, t?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 3 + 3 = -f, -6 = 102*f - 101*f for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51 - -17. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 5. Let a = c + -10. Let z = a - -8. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -491\nAnswer: 1\/491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5558\/(-48434)*((-6)\/(-42))\/((-1)\/3).\nAnswer: 3\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 769*c = 803*c - 68. Let k = -11 + 8. Suppose 5*a + 0 + 32 = 2*n, -a = 4. Sort n, c, k in decreasing order.\nAnswer: n, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 8*i**2 - 8*i - 5. Let b be m(9). Find the third derivative of 0*k**4 - k**4 - k**b - k**4 - 2*k**2 wrt k.\nAnswer: -72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, -18, 24, -0.05, -594, 5?\nAnswer: -594","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5193 - 1983. What are the prime factors of t?\nAnswer: 2, 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51 + -42. What is the smallest common multiple of 5 and l?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*t + 8 = 0, 3*m - 2*t - 92 = 0. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*w - 3 + 3 - 121*w in the form z*w + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + (-22)\/(-28))\/(7\/(-14)). Suppose 0 = 2*s + 2. Let x be 12\/(-15)*s\/2. What is the smallest value in p, 4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cpy when three letters picked without replacement from {m: 2, c: 1, y: 1, p: 1, v: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -239.466 times 0.1?\nAnswer: -23.9466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33176.34 days to milliseconds.\nAnswer: 2866435776000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2361901.0099 - -2361785. Let l = -116 - s. Round l to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(187)*-2)\/((sqrt(132)*2)\/sqrt(12)) - 1*(-2 + ((sqrt(833)*-2 - sqrt(833)) + sqrt(833))**2 + 1).\nAnswer: -3331 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 - t**3 + 1\/2*t**4 + 3\/2 + t.\nAnswer: (t - 3)*(t - 1)*(t + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49120.\nAnswer: 2, 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -537\/7 + 77. Suppose 0*n + 2*n = 0. Suppose n = 2*t + 14 - 6. What is the closest to 4 in z, t, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-13))*(l*(l\/(l\/(l*l**3)))\/l)\/l)**(-1\/37) assuming l is positive.\nAnswer: l**(-16\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - l)*(4*l - l - l) - 408*l + 136*l + 258*l - 324 - l**2 to the form d*l**2 + q*l + t and give t.\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 6*h + 7. Let y be m(5). Let z be (-4)\/(-1) + (0 - y). Calculate the smallest common multiple of 20 and z + 1 - (2 - 19).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28217 is divided by 479?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 3*o**2 + 4*o + 3. Let c be m(4). Suppose -2 = -f, c*h = -h - 3*f + 78. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, h: 2, g: 3, z: 1, q: 1, v: 2}. What is prob of sequence hv?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-1)\/81*(-5)\/60*-9.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3 + 1 + x + 0. Suppose 0 = 17*z - 22*z + 25. Determine r(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 60 - 47 + 3*v - 34 - 57 - 2*v**3 in the form l + k*v**2 + w*v**3 + s*v and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 1609?\nAnswer: 1607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 1 + 2 + -1 + 1 + 2185 + -2255?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 4*s**2 - 2*s - 7. Let f be m(-6). Let g = 55 - f. Let h = 16 + g. Round h to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -184*z**2 - 65*z**4 - 5*z**5 + 118*z**2 - 125 - 2*z**2 - 425*z + 0*z**4 - 462*z**2 - 290*z**3.\nAnswer: -5*(z + 1)**3*(z + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/5 (b) -7.21316 (c) 93\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/5)*k\/(k*(k*k**(-7))\/k))\/(((k\/k**(-1\/4))\/k)\/k**(-1\/7))*(k**(-7\/3)\/(k*k**(-7)))\/(k**(-2\/9))**(-5\/9) assuming k is positive.\nAnswer: k**(108301\/11340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105 and 29220?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 v when three letters picked without replacement from {c: 1, v: 8, z: 1, l: 4, o: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aee when three letters picked without replacement from {j: 2, p: 4, x: 2, a: 3, e: 2}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-373)\/2611 + (2 - 25\/21)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55a (base 15) in base 6?\nAnswer: 5334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1563 * 3.\nAnswer: -0.4689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -8*n**3 + 6*n**2 - 3. Let g(s) = s**2 - 15*s + 3. Let k be g(15). Let v(p) = 10 - 5 + 3 + 9*p**k - 7*p**2 - 5. Determine 7*q(m) + 6*v(m).\nAnswer: -2*m**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**2 + 243 + 102*p + 163*p + 0*p**2 - 211*p = 0 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 10*z**2 + 3*z - 11. What is n(11)?\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - 18. Let s = -25.5 - y. Put s, -0.3, 0.3 in increasing order.\nAnswer: s, -0.3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 0*p - 4*m - 480, -2*p + 2*m = 256. Let g = 989\/8 + p. Which is the third smallest value? (a) g (b) 2 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2828 + -2871. Is x greater than -43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3608609862 to the power of 1\/3, to the nearest integer?\nAnswer: 1534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a meter in millimeters?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - f**2 + 5*f - 9. Let v be g(-4). Suppose -14*h - 100 = -v*h. Let w = -4 - -36. What is the remainder when w is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20504 - -430?\nAnswer: -20034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05619*-6.2.\nAnswer: 0.348378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 3 + 14 - 4.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -851 - -951. What is the highest common divisor of 140 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 15) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 71*c + 34073 - 31730 for c.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*o**2 + 11*o - 10*o - o.\nAnswer: -63*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -j**2 + 50*j + 632. Give y(22).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 2, 4 in descending order.\nAnswer: 22, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 107934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 7, 1, -3, 72, 3, -5 in ascending order.\nAnswer: -5, -3, 1, 3, 4, 7, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**2)**(-11\/4)*(g\/g**(1\/5))\/g*g*(g\/g**(-4))\/g)\/((g*g**5*g)\/g*g**(-1\/17))**43 assuming g is positive.\nAnswer: g**(-43549\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*n = 4*q - 42, -2*q = 2*n - 44. Suppose -n*c + 43*c = 14240. What are the prime factors of c?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 divided by 4.\nAnswer: 51\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -244*d**2 + 2103*d + 4213. What is j(-2)?\nAnswer: -969","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 5*x**2 - 2*x + 2. Give h(-2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -132221566?\nAnswer: 132221563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-30)*25\/(-10)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -780 - 229 + 1883 = 46*n for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 276144 and 53571936.\nAnswer: 53571936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1956 - 1396. Suppose -41*o - n = -46*o. Is o a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 17.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-98)\/(29204\/(-745)))\/(10\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5836 divided by -5836\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -232220 (base 4) to base 13\nAnswer: -1487","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29? (a) 14.2 (b) 278 (c) 0 (d) 1\/5 (e) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 1128*d - 2247. Let l be m(2). Let b = 8 + -12. What is the nearest to 1 in b, l, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y - 7. Let o be q(6). Let d(l) = 17*l - 1. Let t be d(o). Let x = 26 + t. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 64 + 49 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k + 3 + 2 + 3 - 5. Suppose 0 = 5*b + 4*h - 14, 2 = -b - 2*b - 5*h. Let m = b + -4. Let t(l) = 6*l + 10. What is m*t(o) - 7*x(o)?\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 3*o + 7 + o)*(-5*o - 3*o + o).\nAnswer: -7*o**2 - 49*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -5.743381?\nAnswer: -17.230143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (-12 - 16 - -12)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t + 1. Let g be 3\/1 - 2 - -9. Suppose -g = 7*y + 102. Let f = -17 - y. Calculate d(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6366572*f + 32 = -u - 6366568*f, -17*u + 5*f + 23 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19.176 - -19. Round c to 2 dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73042, 146190, 219338, 292486, 365634, 438782?\nAnswer: 511930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d**3 + d - d)*(2*d + 0*d - 4*d + (0 + 0 - 2*d)*(-3 + 3 - 1) + 1 + 2*d - 1) to the form m*d**3 + o + h*d + q*d**2 + s*d**4 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 - 32.7. Sort 4, h, -1\/2.\nAnswer: -1\/2, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*2.2.\nAnswer: -8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -626871*x**2 + 35731623*x + 1368 = 0. Calculate x.\nAnswer: -8\/208957, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -24967, -24945, -24901, -24829, -24723, -24577, -24385?\n\"Answer: c**3 + 5*c**2 - 24973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1027 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5, 30, 73, 134, 213, 310?\n\"Answer: 9*o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 319 - 324. Which is the third biggest value? (a) -0.4 (b) -0.3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10725 - -10725.4. Which is the third smallest value? (a) v (b) -214\/13 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/519352433?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 2*j**2 + 968. Let v be g(0). Suppose 0*s - 3*s + 16 = 4*m, 4*m = -s. Suppose 0 = -16*a + s*a + v. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of 15*l**2\/2 - l + 4. What is the units digit of d(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {q: 9, b: 4, i: 3}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 252\/(-16) + -3 + 15\/4. Let d(h) = 2*h**3 + 2*h**2 + 1. Let q be d(-2). Let f be (q - -8)\/((-2)\/26). Which is smaller: j or f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of 2\/21*q**3 + 1\/21*q**6 - 2 + 0*q**2 - 1\/14*q**4 - 2\/35*q**5 + 0*q. Solve k(n) = 0 for n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/((-300)\/8))\/((-1)\/(-5)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2266, -3823, -5380, -6937, -8494, -10051?\n\"Answer: -1557*k - 709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1825, -3545, -5215, -6811, -8309?\nAnswer: -9685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -922.9 rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 8176206579?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -9*g**5\/2 - 214647*g**4\/2 - 2717811*g**3\/2 - 9368121*g**2\/2 - 2145276*g + 1287198 = 0.\nAnswer: -23837, -6, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 0. Let f = 4 + 23. Let j = 133\/5 - f. Sort 2, w, j in descending order.\nAnswer: 2, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((-1)\/(-2) - 552\/432).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 5) in base 14?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 4:25 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 565.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32209739399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5018088, -10036176, -15054264?\n\"Answer: -5018088*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000172658 to 7 decimal places.\nAnswer: 0.0000173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 17 = 5. Let p(n) = -n**2 + 7*n - 5. Let f be p(m). Solve -3*r - f = 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 227*b**3 + 33*b**2 - 111*b + 27. Let j be n(33). Round j to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200) + 0 - (sqrt(1800) - (-2 + sqrt(1800))).\nAnswer: -2 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, -1, -2\/23, -2\/11, -2\/7 in decreasing order.\nAnswer: -2\/23, -2\/11, -2\/7, -0.9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**2 + q + 7. Let a(u) = 2*u**2 - u - 7. Give 3*a(f) + 4*p(f).\nAnswer: -2*f**2 + f + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 839 divide 1362034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4429873 is divided by 11782.\nAnswer: 11623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*j**3*m - j**3 - 88797*j**2*m - j*m + 3*m - 4762428 wrt m?\nAnswer: -7*j**3 - 88797*j**2 - j + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u**2 - 8*u**2 - 9*u**2. Let f = -4433 + 4428. Let c(a) = -9*a**2. Calculate f*p(y) + 7*c(y).\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**2 + t. Let q be a(1). Let z be 0\/(q\/(3 - 5)). Solve -c - 15 = -5*w, 2*w = -z*c - 2*c + 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**4\/2 + 190*x**3 - 2472*x**2 - 158560*x - 582400 = 0?\nAnswer: -20, -4, 40, 364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 258389, 258386, 258373, 258344, 258293, 258214?\n\"Answer: -t**3 + t**2 + t + 258388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*t**3 - 12*t**3 - 12*t**3 + 65*t**3.\nAnswer: 82*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5165566 divided by -11014\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 976509645.\nAnswer: 3, 5, 2707, 24049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2655 or 2675?\nAnswer: 2655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 475, 935, 1381, 1807, 2207, 2575?\n\"Answer: -x**3 - x**2 + 470*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5120 - -5151. Calculate the remainder when 926 is divided by c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 32*r + 10*r + 205 = 170 - 361, 0 = -2*j + 4*r - 72 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 - -37. Suppose w = 13*s - 3*s - 7950. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16125534811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1\/(1\/104))\/2?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -123 - -8 - -9 - (-358 - -350)?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 294 - -554841760.\nAnswer: 554842054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 4*m**2 - m - 19. Suppose 5*k + 3*t - 37 = 0, -3*t + 0 - 3 = 0. Let v(q) = 6*q**2 - 2*q - 28. Let u(r) = k*f(r) - 5*v(r). Factor u(a).\nAnswer: 2*(a - 2)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-16.80774\nAnswer: -1.680774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z**3 - 4*z**2 - 2*z + 2. Let f(p) = -3*p**3 - 5*p**2 - 2*p + 3. Let x(s) = -3*f(s) + 4*o(s). Let m(c) = -c + 4. Let a be m(5). Give x(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b = 25*b - 18. Let u(y) = y**3 + 6*y**2 + 4*y + 7. Suppose 3*i + 27 = -3*o, -i + 0 - 13 = 2*o. Let r be u(i). Solve -2*q + r = -b*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1059*m - 1080*m + 23 = -19 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -118.6 + -4.4. Let t = f - -125. What is the closest to t in 1, -2, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 8:42 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6 - 3\/8*m**2 - 3*m.\nAnswer: -3*(m + 4)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 68. Suppose 3*u - 85 = 4*l + o, -4*u - l = -187. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91612.\nAnswer: 2, 37, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v + 91960 = -6*v + 14*v. List the prime factors of v.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -979 + 1463. Let a = u - 484. Solve 0 = l - a + 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/27 - 0 - 5\/45. Let f = 471 + -468. Sort r, -2, f in increasing order.\nAnswer: -2, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -m - 27868240. Suppose 2*y - 4*y = n - m, -2*n - y = -13934132. Suppose 3*d + 2932932 = -n. What is d rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 12)*(-95*u - 50*u - 117*u).\nAnswer: -2620*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000017013831 rounded to seven decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -1033?\nAnswer: 1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 804 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*p = 17, -6*y + y = -4*p. Suppose -2*n + n = 4*j - 21, -y*n + 2*j + 30 = 0. Let s be (-16)\/132*n\/6. Which is smaller: -3 or s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*i + 15*i + 15*i - 12 - 46*i to w + d*i and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2031708*c*w**3 - 25025*c*w**2 + 5*w**2 wrt w?\nAnswer: -12190248*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8010.\nAnswer: 2, 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/54 and -83\/378.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -80 + 92. Suppose 3*j = 5*s + q, -j - 3 = 5*s - 7. Suppose s = -2*v - 4. Which is smaller: v or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 3*g**2 + 3*g - 1. Let n(c) = 2*c**3 - 4*c**2 + 4*c - 1. Determine 3*n(p) - 4*r(p).\nAnswer: 2*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 92 - (18 + (-13 - (-25 + 14)))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(1377) - (sqrt(1377) + (sqrt(1377) - 3*sqrt(1377)*2 - sqrt(1377) - sqrt(1377)))) + (sqrt(1377) + sqrt(1377) + 0 + sqrt(1377))*-2)**2*-6*-5.\nAnswer: -247860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/1184 and 41\/3264.\nAnswer: 120768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*j + 15*j - 456. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j - 12*j**2 + 975 + 978 - 1954. Give n(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -4*l**2. Let g(a) = 17187*a**2. What is g(m(j))?\nAnswer: 274992*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1477 + 757 + 834*u**3 + 720 - 839*u**3.\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -37, -2 in ascending order.\nAnswer: -37, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + u - p = 3, -28*u - 5*p = 28*u - 60*u + 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {d: 3, j: 7}.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.071991 rounded to three decimal places?\nAnswer: -5.072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/9 - (-133)\/(-114).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2854 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, -2\/315, -127, 44\/5?\nAnswer: -2\/315","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*v**2 - 17*v**2 + 24 - 24 + 702*v**3 in the form z + n*v**2 + c*v + d*v**3 and give d.\nAnswer: 702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -c + 577, 0 = -c + 5*j + 407 + 146. Let h(x) = -68*x - 161. Let t be h(-19). Let n = t - c. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17628 is divided by 640?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {k: 3, o: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-18)*r*r*r*r**(-8\/7) assuming r is positive.\nAnswer: r**(-113\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250790544.\nAnswer: 2, 3, 157, 11093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 57*t + 83*t - 29*t - 65 + 28.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2795497041?\nAnswer: 3, 931832347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 100.2396535 rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c. Suppose -t - 1 + 5 = 0. Suppose -s = t*s - 60. Let q(b) = 12 - 3*b - s. Give q(o(r)).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -184588201*q**2 + q + 837766.\nAnswer: -369176402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 33\/30 - 40\/(-100)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 3, -13 in decreasing order.\nAnswer: 4, 3, 1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4954 * -0.052417\nAnswer: 259.673818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -1 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 14 - 6294*a + 6566*a to r + m*a and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 y when three letters picked without replacement from zyoxhzhzxzchoy.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0 + (2 - 5 + 1)*(-2 - 3 + 3) + 4 + 0 - 5)*(387007 - 387007 + 1563*y).\nAnswer: 6252*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2 - 4)*(c - 2*c + 0*c) - 8 + 8*c + 8)*(-c**2 + 3*c**2 - 4*c**2).\nAnswer: -22*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10385, -20733, -31077, -41423, -51777, -62145, -72533, -82947?\n\"Answer: -i**3 + 8*i**2 - 10365*i - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 100567 (base 8) in base 5?\nAnswer: 2030033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxo. What is prob of sequence ox?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 342255504?\nAnswer: 342255503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from xxhxxebsbbbxppsxb?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**40*h\/(h*h**(-25)*h*h*h))\/((h\/(h**(11\/2)*h))\/((h\/(((h**(-21\/4)\/h)\/h)\/h))\/h)) assuming h is positive.\nAnswer: h**(303\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1623, 1601, 1573, 1545, 1523, 1513?\n\"Answer: j**3 - 9*j**2 - 2*j + 1633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 6*f = -6*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (4300\/1290)\/(3\/((-60)\/16))\nAnswer: -25\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 460933 divided by 922?\nAnswer: 460933\/922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 n when two letters picked without replacement from {i: 1, v: 2, n: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 7*q**2 + 5*q - 1. Let x be n(-6). Suppose -x*z = -3*z. Factor z*u**2 - 4*u + 2*u + u + u**2.\nAnswer: u*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4508582?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 35447283 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 6) to base 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1789 = -m + 1782 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -13*u + 7. Let a be o(-1). Calculate the remainder when 31 is divided by (-80)\/24*(-72)\/a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 58784 and 29392.\nAnswer: 58784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29238315?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, 79, 63, 31, -23, -105, -221, -377?\nAnswer: -579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-37)\/(-7) + (-6)\/21. Solve f*v - 2 + 7 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 57 = 6*m - 2*m, 0 = -m - 5*b + 10. Let n(s) = -s**3 + 14*s**2 + 14*s + 15. Let a be n(m). Solve 3*f + 6*v - 3*v + 9 = a, -f + 4*v = 13 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2999137?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**3 + 95*i**2 - 682*i + 148. Give r(8).\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -1\/5, -3, -2\/9, -4\/11, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 24, 40, 72, 126, 208, 324, 480?\n\"Answer: r**3 + 2*r**2 + 3*r + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00202 to four dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2894417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3429*h - 38. Let a = -62 + 49. Let v be d(a). Let q = v + -65385. Round q to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5380 and 459210?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1140)\/75*35\/(-14)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 3*d**4\/5 + 1869*d**3 + 111816*d**2\/5 + 335124*d\/5 = 0.\nAnswer: -3103, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - (0 + 3) - 9. Let j be (q\/6)\/(4\/(-12)). Suppose 4*m = 0, 0 = -j*c + 5*m + 10 + 15. Solve c*a = -2*z - 33, 5*z - 3*z - 4*a = 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 1:40 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, g: 2, s: 3, v: 2}. What is prob of sequence fs?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 41233? (a) -7.9 (b) -0.16 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 p, and 1 k when four letters picked without replacement from bkkkbkpkkpkkkkb?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 34. Suppose 17*y - 18 = j*y. Is 18 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 327201 divided by 56\nAnswer: 46743\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -t + 8. Let d be (-2)\/(-4)*t + 3. Suppose -o + 0 + 1 = 0. Solve o = -2*v + b, -v - 2 + 7 = d*b for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + 5*a - 45. Suppose 29 = 5*u + 164. Let s = 72 + u. Calculate the highest common factor of s and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44e (base 15) to base 9.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**2 - 101378908*d - 1284710373409058 = 0. Calculate d.\nAnswer: -25344727","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10221952 rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 6*x**3 - 22*x**2 + 19*x + 11. What is the hundreds digit of l(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -117 - -166. Let c be 110\/38 + (-24)\/(-228). Suppose c*v - f = 2*v. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 11:13 PM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5571567 divided by 3.\nAnswer: 1857189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1458 and 300.\nAnswer: 72900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000929 to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*u - 13. Let f = -2753\/23256 - -1\/1368. Which is the third smallest value? (a) -0.1 (b) f (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a decade in months?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(0 - 1)*-2. Solve -6 = -r - z*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-41)\/(-7175)*50)\/(1 + 262\/(-266))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/36*-15)\/((-10)\/24). Let h(q) = 2*q**2 + 4*q + 5. Let x be h(-4). Solve n*b + x = -5*p + b, 5*p - 3*b + 9 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -284a7b (base 12) to base 14\nAnswer: -136c7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**4\/10 - 53*c**3\/5 - 46431*c**2\/10 - 63308*c - 219520 = 0.\nAnswer: -160, -7, 280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -12, -4, -2493.\nAnswer: -2493, -12, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + 2*m**2 - 2*m**3)*(3*m + 5*m + 0*m).\nAnswer: -16*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/5 - 2203544*s\/5 - 606950769992\/5.\nAnswer: -2*(s + 550886)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -8*r**3 + r**2 + r. Suppose 5 - 6 = -v. Calculate the smallest common multiple of t(-1) and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1231, -2451, -3671?\nAnswer: -4891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/4 - (-54)\/12. Suppose -h*o + 3*g + 240 = -592, 5*g + 191 = o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3716*l - 921*l - 937*l - 929*l - 925*l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*d - 0. List the prime factors of ((-5)\/2)\/d*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -497 = -7*h - 574 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24.5 - -25. Let p(z) be the first derivative of 2*z**3\/3 + 11*z**2\/2 - 3*z + 8. Let w be p(-6). Put -5, c, w in descending order.\nAnswer: w, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -259*c**6\/6 - 281*c**3\/3 - 25. Find the third derivative of f(u) wrt u.\nAnswer: -15540*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 2*h**2 + 2*h - 3. Let k(p) = -2*p**3 - 3*p**2 - 4*p + 7. Let r(q) = -3*k(q) - 5*y(q). Calculate r(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 times -20.966\nAnswer: -146.762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1057 + 9532. Is s a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/1 + (-11)\/(-2) - (-32152)\/(-12057). Determine i, given that 23\/6*i**3 + l*i**4 - 25\/2*i**2 + 61\/6*i - 7\/3 = 0.\nAnswer: -7, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + ((sqrt(33)*-1)\/sqrt(3))**2 + -4 - (sqrt(11) - (2*sqrt(539))**2 - (sqrt(11) - -2*sqrt(33)\/sqrt(3))).\nAnswer: 3*sqrt(11) + 2163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14212609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/(-35))\/(318\/2597*9\/(1242\/14)).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1004*p - 13743 = 16377 for p.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 - 3*l - 1. Let p = -11 + 20. Let y(g) = g**3 - 10*g**2 + 10*g + 2. Calculate the least common multiple of x(3) and y(p).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3741, 7509, 11267, 15021, 18777, 22541, 26319, 30117?\nAnswer: 33941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102 and 102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4187220 rounded to the nearest 10000?\nAnswer: 4190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c = 15*c - 126 - 66. Solve -c*p = -213 + 189 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -21.03. Let l be (-4)\/70*(-5)\/(-1). Let k = 114 - 118. Which is the biggest value? (a) g (b) k (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 2250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (22 + 11 + 9 - 17) + -71\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n**5 - 19*n**4*y + n**2*y + 804*n*y + 2*y + 1 wrt n.\nAnswer: 40*n**3 - 228*n**2*y + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4 + 10*b + 0 - 14*b + 15*b with respect to b.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35\/2*t**3 + 0*t**2 + 0*t + 0 - 1\/2*t**4.\nAnswer: -t**3*(t + 35)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(1\/4)*m))**(-2\/45)*(m\/(m*m**(2\/33)*m))\/m*m**0)**(-5\/3) assuming m is positive.\nAnswer: m**(2029\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10055 divided by -332?\nAnswer: 10055\/332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5166 and 615?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 92\/(-28) - -2. Suppose -33 = -7*t + 4*t. Let x be t\/(-3) - -3*1. Which is the closest to d? (a) 2\/9 (b) x (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.24 + -0.97. Is 2 at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 551 minutes before 9:33 AM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 586950 to the power of 1\/2, to the nearest integer?\nAnswer: 766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -27*o**2 + 10 + 28*o**2 - 15*o + 0*o**2 + 13. Give c(11).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 280280 and 286?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 4*y + 8 = -4*q, -q = 5*y - 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - ((9 - 4) + (-1 - 6))) + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21.5 + -34. Let y = w - -12. Let c = -2.95 - 0.05. Put 4, c, y in ascending order.\nAnswer: c, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h - 7. Let c be l(10). Suppose -4*b + 4*d = -40, -d = -c*b - 2*d + 10. Let i = -1 + 18. Solve -i = -y - b*v, 3*y - 9 = -2*v + v for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*d - 43*d - 1065 = 83 for d.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 6*y**2 + 6*y + 7. Suppose -4*b + 35 = n - 0*n, 0 = -3*b - n + 25. Suppose 0 = 5*s + b. Let c be (s - (-2 + 1))*5. Calculate f(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/19)*c**(-2\/17)*(c*c*c*c*c*c**(-8)*c)\/c**0 assuming c is positive.\nAnswer: c**(-650\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*h + 50*h. Suppose h = -2*b + 2*p - 1458008, 0 = -5*b + 2*b + p - 2187004. Round b to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/3)\/i)\/i)**(-13)*(i\/(i*i*i**(-19)*i))\/i**(-11) assuming i is positive.\nAnswer: i**(136\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.524 - 3.476. Which is the nearest to -0.3? (a) -7.05 (b) 3 (c) s (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -14\/53 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3)\/((c*c*c\/(c*c*c**(1\/25)*c)*c)\/c))**(9\/2) assuming c is positive.\nAnswer: c**(-333\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1303610537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9274 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17011 bigger than -4\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/8, -3\/5, -7?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 63.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - p - 2 = -0*q, -5*p + 12 = q. Suppose 0 = q*g + 5*y - 17, -g + 3*y - 10 = -2*g. Put g, -4, 4 in increasing order.\nAnswer: -4, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2224*i - 15564. Calculate o(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -3. Let r(s) = 5*s**2 - q - 2*s**3 - 2*s + 3*s**3 - 1. Determine r(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 20*v = 144, 5*v - 34 + 6 - 11 = 2*y - 0*v for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*150846.\nAnswer: -60338.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**21\/h*h*h*h**(1\/6)*h*h**(-1)*h\/h**(-1\/3) assuming h is positive.\nAnswer: h**(47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 30751, 30473, 30195, 29917?\n\"Answer: -278*j + 31029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 q when two letters picked without replacement from {z: 1, o: 1, q: 3, y: 1, e: 2, d: 5}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6a84 - -2?\nAnswer: 6a86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 31*z + 55. Let f be h(31). Let n(c) = -c**2 + 10*c - 4. Let i be n(9). What is the highest common divisor of f and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -5.1. Let f = -0.05 + 0. Let s = f + -0.35. What is the nearest to 0 in s, j, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2 + 6 = 0. Let g be 5\/5 - (-2 + -1). What is the units digit of 6\/g + (-1)\/u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2057?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6 - -0.2. Suppose -13*q = -3*q - 40. Suppose -7 = p - u, q*p + 1 = -5*u - 0. What is the closest to -0.1 in -3, p, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 67 + 99 = 0. Let i = 88 - w. Let u = 5 + -2. Which is the second biggest value? (a) -1\/9 (b) -0.1 (c) i (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-15 + 36)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 14. Let d be ((-6 - -3) + (-62)\/(-21))*a. What is the nearest to d in 1\/2, 5, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*g**3*u*v**2 - 2*g**3*u + 3*g**3 - 4*g**2*u*v + 21*g**2*u + 8*u*v**2 - 1 wrt g.\nAnswer: -42*u*v**2 - 12*u + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 16 = -2*t. Let v be -1 - 15\/(-9) - (-6)\/(-9). Suppose -76*j + 77*j - 5 = v. Solve 2*g = 2*n - 0*n - t, -j*n - g = -10 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -11*r**3\/3 + r**2\/2 - 6*r + 1. What is s(1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -2*q**3 - 4*q**2 - 25*q + 29. Let j be n(-4). Is -89 at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 270 and 27155952?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33767?\nAnswer: 33767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 3*z + 20 = 2*n, 0 = -3*z. Suppose 4 = -4*k, -4*h + 12 = -3*h - 4*k. Suppose -2*o = h - 2. Which is the closest to 0? (a) n (b) o (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m + 36. List the prime factors of n(0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 3*n + 14. Let k be r(5). Which is bigger: -10 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4361940 (base 10) to base 8.\nAnswer: -20507324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1131307470.\nAnswer: 2, 3, 5, 2897, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52)\/(-5)*2016000\/291200?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, j: 1, u: 9, k: 2}. What is prob of sequence jk?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lnnnrlnnnnnnlnnnlnln. What is prob of picking 1 n, 1 r, and 1 l?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*i**3 - i**2*k**3 + 32*i - 2*k**3 + 4*k wrt i.\nAnswer: 12*i**2 - 2*i*k**3 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of r**4\/2 + 2*r**3\/3 - r**2\/2 - 2*r. Let i(a) = 7*a**2 + 5*a - 1. Let j(v) = -4*i(v) + 5*y(v). Differentiate j(k) wrt k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 3:06 AM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 14*n + 724 = 0. List the prime factors of n.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 977, 1083, 1361, 1895, 2769, 4067?\nAnswer: 5873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 126, 2\/7, 1\/2, 4, -0.06, -0.08?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20382787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*d**2*m*n**3 - d**2*m + 750*d**2 + 16*d*m*n - d*m wrt n?\nAnswer: -27*d**2*m*n**2 + 16*d*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of 656*n**4\/3 - 91*n**3 - n**2 + 5676*n. What is the second derivative of l(v) wrt v?\nAnswer: 5248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2100 divided by 1\nAnswer: 2100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3051*s**3 - 21*s + 21*s + 0*s.\nAnswer: 3051*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/3))**(-39)*(o\/(o\/(o\/(o\/(o**(-2\/15)*o)))))\/o**5 assuming o is positive.\nAnswer: o**(-257\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101010100001110000100111 + 0?\nAnswer: 1101010100001110000100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11562505.\nAnswer: 5, 179, 12919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) - (sqrt(475) - sqrt(475)*4)) + sqrt(475) + 5)**2*2*2*-6*1.\nAnswer: -285600 - 6000*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1044 divide 4675032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8757*r**6 + 2942*r**2 + 3 wrt r?\nAnswer: -1050840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u + 2*u + u. Let c(g) be the second derivative of -3 + 0*g**3 + 0*g**2 + 2\/3*g**4 - 2*g. What is w(c(m))?\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22055 is divided by 4219?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17\/4 of a centimeter?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 3*n - 24, n - 6*n + 28 = 2*f. Suppose 18 = 3*d + 4*u + u, -3*d + 2*u - 3 = 0. Suppose f*t - 11 = d. Is 2 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**3 + 1 - 1 - 1.\nAnswer: 5*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 35 = -2*c, 0 = -2*c - 5 - 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 10*h**2 - 9*h - 5. What is the hundreds digit of b(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {o: 5, l: 14}?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*t - 107*t - 2596 = -8*t for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + (-14 - 12) + 22 + (1 - 3).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate w**3*y**2 - 240*w**3 - 551*y**2 wrt w.\nAnswer: 3*w**2*y**2 - 720*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2434*w - 606*w - 609*w - 606*w + 49 - 617*w.\nAnswer: -4*w + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jk when two letters picked without replacement from vvkkzzjzz?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8586 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(600)\/(sqrt(120)\/sqrt(10)))\/sqrt(5)*-4)\/(sqrt(24)\/(sqrt(48)*5)*-3).\nAnswer: 40*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 16*r - 21. Let x = 16147\/70 + -1530\/7. What is the common denominator of x and y(15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -336 - -339. Let d = -1.3 - -2. Let t = h - d. Round t to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s. Let u(n) = 2*n**2 + 10. Let w(d) = 1. Let b(i) = -u(i) + 10*w(i). What is o(b(k))?\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89910845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (9 - 6 - 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6387*b*d - 162813167*b - 132*d wrt d?\nAnswer: -6387*b - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1424, -1424, -1442, -1490, -1580, -1724, -1934?\n\"Answer: -2*o**3 + 3*o**2 + 5*o - 1430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(2\/3)\/y))**(-17)*(y*y**(-2\/5))\/(y\/y**(-3\/8)))**(-39) assuming y is positive.\nAnswer: y**(36569\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 28 = 5*c, c - g + 1 = -3*g. Suppose c*y - 293 = -4*f, y + y - 4*f = 106. Let u = -25 + y. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 0*g - 2450 = 0. Suppose 5*d - g = -0*d. Let k(p) = 2*p**2 - 4. Let o be k(3). Calculate the greatest common divisor of o and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -221419 - 74985229.\nAnswer: -75206648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 1 - -1)*(-1 + 2). What is the derivative of -5 + 0 + 2*h**4 - 12 - 14*h**f wrt h?\nAnswer: 8*h**3 - 42*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 8*v**2. Let j(x) = 3*x**2 + 4*x - 4. Let q(g) = 2*g**2 + 3*g - 3. Let m(s) = -3*j(s) + 4*q(s). Give z(m(o)).\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f - 15 - 2*f + 5*f + 3*f. Calculate the least common multiple of v(7) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2053*j**2 - 2043*j**2 + 4060*j**2.\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2. Let m(a) = 4 - 33 - 273*a - 929*a + 29. Determine m(i(l)).\nAnswer: -1202*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 3, 1.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 17*l**3 + l**2 - 4*l + 2. What is u(1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 583947 to the power of 1\/2, to the nearest integer?\nAnswer: 764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = v + 5*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 222130015 to the power of 1\/3, to the nearest integer?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2 - 752*s**2 + 325*s**2 + 2 to the form p*s + a*s**2 + d and give a.\nAnswer: -427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 0*c - 5*c - 4 - 13 - 2 + 7*c. Give b(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1057 take away -1192.65?\nAnswer: 1194.7557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 101, 150, 203, 260, 321, 386?\nAnswer: 455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 98727865 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**(-19))**(-34) assuming k is positive.\nAnswer: k**(-714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-5))\/(24\/660). Suppose -w = -4*m + 15*m. Which is the second smallest value? (a) 2\/81 (b) m (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**5 + 1449*w**4 - 31343*w**3 - 72849*w**2 + 102744*w = 0.\nAnswer: -3, 0, 1, 24, 1427","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-8)*-3*20. Suppose 5*o + 25 = 4*c - 5*c, 2*c = -3*o - z. Suppose 2*h - 5*h + 33 = c. Solve -4*x - 4*w = -4, -h = -2*x + w - 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(864) - (sqrt(864) + -3*sqrt(864)) - sqrt(24))\/((sqrt(84)*-3)\/sqrt(7) + sqrt(12)) + -1)*-5*-6.\nAnswer: -255*sqrt(2) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 8?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -31*w**6\/120 - 187*w**3\/6 + 2*w**2 - 221. Differentiate d(i) with respect to i.\nAnswer: -93*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1503?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6436801 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) 10 (c) -717 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) - (-1 + sqrt(162))) + 0 + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 19*o**2 + 1. Let k = -16 - -11. Let b(f) = f**3 + 5*f**2 - f - 7. Let l be b(k). Is r(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -u**3\/6 + 3*u**2\/2 - 34*u + 36. Let n(r) be the first derivative of s(r). Let m be n(2). Put -5, m, 4 in descending order.\nAnswer: 4, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*h + 10158 + 792 = 0. Let j = h + 560. Is 15 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 7*k**2 - 8*k + 4. Let g be n(-8). Let v(d) = -18*d + 4. Let c be v(4). Find the common denominator of c\/10 + (-2)\/g and 33\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-34)\/k))\/k**26*k**(-22)*k*k\/k**29)**(-50) assuming k is positive.\nAnswer: k**1950","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-240)\/(-48))\/(2\/(-2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 16) in base 7?\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 160 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1101620*c**3 + 2*c**2 - 1361148*c - 1.\nAnswer: 6609720*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 314 less than or equal to 3445\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003832483185 rounded to seven dps?\nAnswer: 0.0000383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8225 - 8225.4. What is the second smallest value in 3, n, -36?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/2 + 37\/19. Let t = 480\/359 - 532977\/27284. Let g = z + t. Calculate the common denominator of g and 9\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147 = -48*b - 249 - 1866 for b.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6435341 - 4?\nAnswer: 6435336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -113 by 730.\nAnswer: -113\/730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -c**5\/20 - c**4\/4 + c**3\/2 + c**2 + 64*c. Calculate x(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 3*h - 2. Let n be x(-2). Let y = n + 0. Solve 5*z = -y*z - 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3510)\/(-273)*420\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122564397 rounded to the nearest one million?\nAnswer: -123000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 - 0.3. Suppose -6 = -4*x + r - 4, -3*x + 1 = -r. Which is the second biggest value? (a) x (b) -2\/3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12811 (base 10) to base 4.\nAnswer: 3020023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 7*s**2 - 24202*s + 169397. What is p(7)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 12*n**3 + 51 + 0*n**2 + 0*n + 1\/5*n**5 + 3*n**4. Factor t(s).\nAnswer: s**2*(s + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -166 + -171129a?\nAnswer: -1711455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s. Let x(v) = -3*v - 2. Let l(w) = 2*p(w) - x(w). What is the remainder when 19 is divided by l(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(567)*-4 + -3.\nAnswer: -36*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2)*f)**11\/(f**(-5)*(f*f**(2\/19))\/f)*f**(-1\/14)\/(f**(-7)*f)*f**8*f\/f**3 assuming f is positive.\nAnswer: f**(1549\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/35480 and -71\/53220.\nAnswer: 106440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand x + 3 - 3 + (-20 - 90 - 36)*(1 - 2*x - 1).\nAnswer: 293*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 10*q**3 + 11*q. Let t(r) = 2*r**2 + r - 22. Let n be t(0). Let f(k) = k**3 + k. Give n*f(b) + 2*g(b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 23 = -87. Solve 3*g = f + j, 3*f - g = -12 - 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (74 - 85 - -12)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*o**3 + 1229*o**2 - 2*o - 7818 with respect to o.\nAnswer: -6*o**2 + 2458*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 9*b**2 - b + 1. Let u be (-12)\/2 - (-2 - -5). List the prime factors of g(u).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175034407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrlrllrlriirlrrrlll. Give prob of picking 1 i and 2 r.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9905*q**2 + 1519*q - 2 wrt q?\nAnswer: -19810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -q + 55, -q = -2*q + 2*i + 75. Suppose 61*o - q*o + 236 = 0. Suppose 0*z = 2*z - 6, o = 4*s + 5*z. What is the lowest common multiple of s and 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y + 29*y + 2505 = -85*y - 4479 for y.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qrw when three letters picked without replacement from rwwwdwrq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4371 - 19629 = -3*r, -5*r + 2*v + 39984 = 0. Suppose 0 = 16*n - 738 - r. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/50 of a milligram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 10\/5499167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/((20\/(-60))\/(1\/3)) + 0. Sort 0, 3, -2, b, 4 in descending order.\nAnswer: 4, 3, 0, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/12 and (1809\/72*1)\/(-54)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 891 and 99.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 150027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/1094 and 45\/4?\nAnswer: 2188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*q + 28*q + 589. Suppose -536 - q = -15*j. Let v = j + -72. Solve -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 -4 + (35 - 15) + 59367.\nAnswer: 43, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 8*r + 7. Suppose 0 = a - 7. Let q(c) = 10*c + 22 - 7 + a*c. Suppose -3*i = -i - 26. What is i*w(u) - 6*q(u)?\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 4*r + 6*r. Let i be -6 + 4 - 4\/(-1). Let w be 10\/(-5)*-2*i. Solve r = -2*j - 0*j + w for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186482 is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*l + 2*v - 1804 = 27*l, -l = 5*v - 898. Is 42 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 96447, 191623, 286799, 381975, 477151?\n\"Answer: 95176*x + 1271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 48 - 41 = -2*m, 0 = -s + 3*m + 10. Solve -4*k + s = -b - 5*k, 4*k = -5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -3*c + 44, -2*c - 8 = -5*g + 3*g. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 10) to base 15.\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 + 267*v**3 - 107*v**3 + 3*v**2.\nAnswer: 160*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**3 - 60*y**2 + 5577*y - 10890 = 0 for y.\nAnswer: -55, 2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.01 (b) 1.08 (c) 276\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/8)*g\/(g**(-6)\/g))\/(g\/((g**(-2\/3)*g*g)\/g)*(g**18*g*g)\/g) assuming g is positive.\nAnswer: g**(-283\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.3 or -8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 951615 is divided by 28826.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 22. Let t = -0.036 - 0.164. What is the closest to -0.07 in 1, t, p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -354738, -1419025, -3192848, -5676213, -8869126, -12771593, -17383620?\n\"Answer: -n**3 - 354762*n**2 + 6*n + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -57, -68, -107, -192, -341?\n\"Answer: -3*o**3 + 4*o**2 - 2*o - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16.38741 - 3451.5522.\nAnswer: -3467.93961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(243) - sqrt(243)\/sqrt(9))**2 - (-1*sqrt(363)*-6)**2.\nAnswer: -12960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 215*a**3 + 2*a - 757*a**4 - 1 + a + 1 + 2 + 759*a**4 in the form d*a**4 + j + w*a**3 + b*a**2 + m*a and give w.\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 629*f - 507*f + 366 = 0. Sort 4, f, 0, 1157 in decreasing order.\nAnswer: 1157, 4, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -652735*j**4 - 6*j**3 - 17*j**2 - 120990*j.\nAnswer: -15665640*j - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9105413 + 142784*v - 1809*v**2 + 4*v**3 - v**3 + 220825*v - 33467216 = 0 for v.\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34956573 and 153?\nAnswer: 104869719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b**2\/7 + 150782301*b\/7 + 60312918\/7 = 0. What is b?\nAnswer: -10052153, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-1 + -7 + -1 - -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 62*y**3 + 4*y**2 + 4*y + 3. Let k(q) = -124*q**3 - 7*q**2 - 7*q - 5. Calculate -7*j(g) - 4*k(g).\nAnswer: 62*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 3*q**2 + 2*q - 2. Let v be p(3). Let g(r) = -v - r**2 + 11*r - 7 + 2. What is the tens digit of g(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-6) - 23\/(-3). Suppose 0*p + p = -5*x + 13, 5*x = -4*p + g. Solve 0 = 2*z - 3*o - 4, -x*o + 31 = 2*z + 3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12348230 divided by 7?\nAnswer: 12348230\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-3) + 20\/(-28) + 1. What is the nearest to 2\/5 in -1\/27, 2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-5)\/i**(-7)*i**4\/i**(-1))\/((i**(-1))**(-26)*(i*(i*i*i*i**1*i)\/i)**36) assuming i is positive.\nAnswer: i**(-199)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 5*p**3. Let a be m(1). Suppose 41 = 4*s - j, 3*s + a*j = 2*s - 16. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 97922843792 + 0.02\nAnswer: 97922843792.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5567*m**3 + 5945*m**3 - 1867*m**3.\nAnswer: 9645*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 606 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 82 = -0*s - 4*g, 75*g = -2*s - 86*g - 262 for s.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -9654 bigger than -9657?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + d - 20. Let z be (-15)\/(-6) + (-6)\/(-8)*-2. Which is smaller: z or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1100 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -70*o**3 - 60*o**2 + 60*o + 60. Let k(a) = a**3 + 5*a**2 - 2. Let g(z) = 4*z**2 + z - 1. Let s(d) = g(d) - k(d). Calculate -60*s(f) + w(f).\nAnswer: -10*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17422812683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.36932 rounded to one decimal place?\nAnswer: 10.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 1 - 2*k**2 - 5 + (-2 + 2 + 2)*(-3*k**2 + 859 - 859) in the form j*k + i*k**2 + u and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*sqrt(153))\/sqrt(9)*5 - (2*(sqrt(204) - -2*sqrt(204)))\/((sqrt(120) + -2*sqrt(120))\/sqrt(10)).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -937.81286 to 0 dps.\nAnswer: -938","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, b: 3, l: 1, u: 1, c: 5, x: 1}. Give prob of sequence bs.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38558722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h - 6. Let r(f) be the second derivative of -21*f - 26*f**2 + 1\/2*f**3 + 0. Let u be r(14). Determine o(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 107599554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8904 - 8901. Solve 21 = 12*k - 9*k - 2*f, 4*k - x*f - 29 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 523888 - -a?\nAnswer: 523894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 61*u - 7999 - 37751. What is the hundreds digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -1521713?\nAnswer: -152171.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mvjhyfjfvjhh. Give prob of picking 1 y, 1 f, and 1 m.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u - 1\/2*u**2 - 2.\nAnswer: -(u - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6753, 27066, 60927, 108342, 169317?\nAnswer: 243858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3324*r - 3347*r + 7 + 4 - 11. Let b(v) = 0*v**2 + 2*v**2 + 0*v**2. Determine b(j(p)).\nAnswer: 1058*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 3619?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3c017 - 2a?\nAnswer: -3c041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 5*n + 13. Suppose -20*v + 60 = -8*v. Let u(b) = -32 + 10*b - 27*b + v*b - 2*b**2. Determine 5*u(s) + 12*w(s).\nAnswer: 2*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157 = -17*x - 64 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 282, 0.\nAnswer: 0, 2, 282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2824941 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 4*y - 16, -2*n - 4*y - 7 = -23. Solve 4*u + 41 - 21 = n for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-79)\/(198369\/(-124)))\/(56\/(-84)).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/9*(-7 + 172). What is the highest common factor of 33 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 714955768.\nAnswer: 2, 89369471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 198578 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1053\/486)\/(12 - 25)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 18741 times 0.3\nAnswer: 5622.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -18. Suppose -2*f + 5 = -c. Let y = 7 - 2. Solve y*j + 3*z - 9 = 8*j, -5*z + 11 = -f*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(75) + (1*sqrt(75) + 5)**2) + -3.\nAnswer: 55*sqrt(3) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**3 - 4*z**2 + z + 4. What is the smallest common multiple of 14 and n(2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a. Let h(u) = 177*u**2. What is h(y(g))?\nAnswer: 177*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*r = -10, 7*r - 4*r - 15 = 5*j. Suppose -3*o + 201 = -7*o - s, j = -5*o - 3*s - 253. Let w = 108 + o. List the prime factors of w.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/12)\/(3\/((-24)\/(-10)))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t - 101. Give v(43).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 7*l**2 - 13*l + 9. Let a = 193 - 189. Calculate the least common multiple of 189 and i(a).\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -15 - 21 - 5*y + 33 + y**2. Let o(q) = 2*q + 1. What is -2*c(f) - 5*o(f)?\nAnswer: -2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 3*j - 86, -5*h + 47 = 3*j - 2*j. What is the least common multiple of j and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3767 - -3723. Which is the smallest value? (a) x (b) 2\/13 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 937860938 to the nearest integer?\nAnswer: 979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -619476 divided by 44?\nAnswer: -14079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 60*b - 320 - 959 - 245 - 936 for b.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-5)*39*-190*61\/(-6954).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1160 and 30.\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 16 = q, -10 + 2 = 2*q - 2*u. Suppose q*z = z - 2. Suppose b = 2, 0 = z*o + 3*b - 4 - 8. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -b**5\/6 - b**4\/12 - b**3\/6 + 3*b**2. Let r be g(4). Let s = r + 239. Is s a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131 times 2?\nAnswer: -262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 210112212010 (base 3) to base 14\nAnswer: b0821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a litre in millilitres?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 7:33 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12613238, 100905869, 340557296, 807246917, 1576654130, 2724458333, 4326338924, 6457975301?\nAnswer: 9195046862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 5 (c) 7 (d) 0.5 (e) 115 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64\/1392*(-18)\/36*12*(-4)\/(-32).\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21*i*n**3*y - 12*i*n**2*y**2 + 16*n**3*y + 6*n*y**2 - y**2 with respect to i.\nAnswer: -21*n**3*y - 12*n**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2022 (base 11) in base 7?\nAnswer: 10555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**2 + d**2 + d**5 + 2*d**5 - 2 + 2 + (-3*d - d**4 + 3*d)*(-4 + 4 - 2*d).\nAnswer: 5*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -3. Suppose -2*w + 4 = u, l = -w + 5*w + u - 12. Let i be 33\/6 - (-6)\/w. What is the greatest common factor of 7 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6307606?\nAnswer: 2, 1429, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 + 4*b**3 + b**3 - 4*b**3 as o*b**3 + f + s*b**2 + m*b and give f.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 1778?\nAnswer: -5334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -359.89 - -358. Let h = m - -18.24. Let p = h + -17. What is p rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from thkhtktthkk.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 354, 3, -2 in descending order.\nAnswer: 354, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -31\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1409?\nAnswer: 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 17) + (24 - (-40 + 76))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -172.37 + 180.2. What is v rounded to 1 dp?\nAnswer: 7.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/14)\/((-13)\/(-39)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 142804 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 13*a**2 - 8*a - 17. What is the remainder when y(-13) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -152, -158, -166, -176, -188, -202?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -517\/2 + 14475\/56. Find the common denominator of -101\/12 and y.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g - 51. Determine l(18).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 309868*q**4 + 13484659.\nAnswer: 1239472*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*m = 320 - 86. Suppose -45 = -o - 4*o. Suppose o - 3 = 2*q. Solve -m*v + 3*v = -q for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r - 31 = 79. Let q(y) = 22*y - 2 - 19*y - y**3 - 4*y**2 + 0*y**3. Give q(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -201 and -10878.\nAnswer: 2186478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 275\/13 + 213\/52. Let x = -2\/401 - 16431\/2005. Find the common denominator of p and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5125315.\nAnswer: 5, 13, 29, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13156 and 143.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + 8*p**5)*(-1 - 2 + 7 - 1 + 1 + 2 + 2 + 4 - 5 + (0 + 0 + 1)*(3 - 4 + 2)).\nAnswer: 64*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 2.5, 2, -0.156, -49\/5, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 8 - (57 + -52)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) - (sqrt(637)*-2)**2) + 2 - (-2*sqrt(637)*-2 - sqrt(637))**2.\nAnswer: -8279 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -z + 13, 3*c + 0*c = 3*z - 15. Let i be z + 1 - (2 + -2). Suppose -p - 3*x + i*x = -28, -2*p = -4*x - 50. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w - 3. Let t be y(4). Let z be (-2 + t\/(-2))*-2. Round z to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -470 + 649. Calculate the remainder when 181 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30 - 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -0*j - 5*j + 37, 4*i = 2*j - 20 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**3 + 2*n**2 - 2*n**2)*(2*n**2 - 3*n + 3*n) + 0*n**3 - 2*n**5 + 0*n**3 + (3 - n**3 - 3)*(-n**2 + 0*n**2 + 0*n**2).\nAnswer: -3*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/(-3) - (-2)\/(-6). Suppose 108*v = 151*v + 215. Let o(y) be the second derivative of -2*y**3\/3 + y. Let n(i) = -2*i. Determine v*n(j) + z*o(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.24 or 2.14?\nAnswer: 2.14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 18 (b) 5 (c) -54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.11 + 4.11. Let a = d + 1. Sort a, 1, 0.3.\nAnswer: 0.3, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qmq when three letters picked without replacement from mqqmqqmmmmm.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 3*v**5 + v)*(-3 - 4 + 3) + 5*v**4 - 5*v**4 - 3*v**5 + (0*v**2 - 4*v**2 + 3*v**2)*(6*v**3 - 3*v**3 + 290 - 281).\nAnswer: -18*v**5 - 9*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 139703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-5)*30\/(-36). What is the closest to 1 in -0.1, j, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 224.5257 - -0.1743. Round w to the nearest 10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-53820)\/315)\/(-46))\/(4\/56) - 21\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -2150, -13 in ascending order.\nAnswer: -2150, -13, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11847, 12241, 12637, 13035?\n\"Answer: b**2 + 391*b + 11455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*a**2 + 80*a**2 + 84*a**2 - 239*a**2.\nAnswer: 20*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 926 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 + 12*k**4 + 0*k**2)*(0*k - k - 12 + 10).\nAnswer: -12*k**5 - 24*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5670, -11343, -17016, -22689?\n\"Answer: -5673*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, t: 3, c: 5}. Give prob of sequence cnc.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m + 6656 = 44*m. What is the highest common factor of 48 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11\/3*a - 2 + 1\/3*a**4 + a**3 - a**2 = 0. Calculate a.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n - 5. Let z(m) = -3*m + 9*m + 482 - 456. Give -11*c(p) - 2*z(p).\nAnswer: -p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of c**4\/24 + 2*c**3 - c**2. What is the units digit of d(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352196.\nAnswer: 2, 13, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.3 + 5.8. Let i = m + -3. Which is the biggest value? (a) i (b) -5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.316191 + 14798794.\nAnswer: 14798791.683809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 106*c**2 + 1300*c - 1546. Give j(117).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*a + 3. Solve 3*u - a = -10 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*l + 31 - 31)*(-6 + 2 + 0).\nAnswer: -28*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*j = -36*j - 23*j - 1596 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -42, 7 in ascending order.\nAnswer: -42, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 23*y**2 - 26*y - 40. Let b be d(-24). Let r be 6*26*b\/16. Let t = 137 - r. Calculate the greatest common divisor of t and 236.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75350?\nAnswer: 2, 5, 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.7586 and 104548.617.\nAnswer: 104550.3756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173643.\nAnswer: 3, 57881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 4, -5*x - 2*y + 71 = y. Suppose 2*l + x = 3*l + 4*p, -5*l = -p - 65. What is the greatest common factor of l and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*c**4 + 7*c**3 - 90*c**2?\nAnswer: -72*c + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2288 + (-7 - -17) + 1 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -611 = -6*z + 651 - 1172 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 6*l**2 + 5*l + 2. Let j be y(-5). Let k(q) = 2*q - 2*q - q**j + 4*q**2. Let d(m) = 5*m + 4*m - 8*m. Give k(d(t)).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s - 25. Calculate the remainder when l(16) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y - 15. Let a(p) = -3*p**2. What is a(o(d))?\nAnswer: -12*d**2 - 180*d - 675","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -107*f + 104*f. Let m = -159 + 155. Let g = 2 - 2.5. Which is the closest to f? (a) 1 (b) m (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**5\/4 - 3*r**4\/2 + 9*r**3\/4.\nAnswer: -3*r**3*(r - 1)*(r + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13145, 4166, -4813, -13792, -22771?\nAnswer: -31750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -6*w + 4*w**3 - 5*w**3 + w + 2*w**3 + 3 - w**2. Let o be t(3). Suppose 5*y - z - 21 = 0, -o*y + 9 = -4*y - z. Solve -y = 2*c - 6*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49544*x**3 + 49552*x**3 - 148654*x**3 + 49545*x**3.\nAnswer: -13*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 90 (c) 0.1 (d) -3 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 30 + 793?\nAnswer: 7c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/12)\/((-215)\/(-210) - 1). Calculate the greatest common factor of 16 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9672376 and 1.5.\nAnswer: -9672374.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s**2 + 2*s**2 - 8*s**2 - 1927*s**3.\nAnswer: -1927*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 214327 - -21133330\nAnswer: 21347657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1037 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from jjxxxjj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-12) - 10\/(-8). Let b(c) = 8*c - 7. Let l(f) = -40*f + 555. Let y be l(14). Let i(x) = x - 1. Give t*b(m) + y*i(m).\nAnswer: 3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (234 + -220 + 415\/(-29))\/((-9)\/(-6))?\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3 - (0 + 1 + -9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-5) + 2108\/(-2790).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 64*d - 677. Calculate the remainder when 295 is divided by k(74).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -7. What is the least common multiple of f and (3 - -7 - -2) + 180\/30?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1172?\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -4*j**2 + 19 + j**2 + 4*j**2 + 3*j. Let p be g(-13). Is (-2)\/(-4)*2*p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7776)\/1080)\/((-20)\/100).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-2)*8\/(-10). Let p be (2 + -1)\/(x\/14). Let z = p - 8. Is z at most 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 5) + -10 + 5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 1:27 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**3 + 1336*k**2 + 164952*k - 2175264 = 0. Calculate k.\nAnswer: -498, -182, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 34*q + 68. Give b(33).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 921*u**2 + 1392*u**2 - 1354*u**2 to m*u**2 + k*u + g and give m.\nAnswer: 959","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -85, -168, -279, -412, -561, -720, -883?\n\"Answer: d**3 - 20*d**2 - 30*d - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -60410921142324 + 2\nAnswer: -60410921142322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 4*b - 160, 4*g + 240*b - 202 = 243*b. Solve -3*p - g = -64 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5754172 is divided by 269?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = 2*d - 6*d + 19388, -3*v = -4*d + 19408. What is the remainder when d is divided by 1616?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddd. What is prob of picking 3 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4923 - 2351. What is the thousands digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 448 - -147. Let q = 597 - z. Let n = 5 + -3. Solve -n*w - 3*b + 5 = 0, -q*w - 5*b + 2 = -13 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.167 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*-314974.\nAnswer: 188984.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a second in milliseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 557 = -7*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 6*s. Calculate g(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 17\/(-5) - 4\/(-10). Let h = -80 + 103. Let b = y + h. Does 5 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2793560 by 1396780.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2411, 2409, 2407, 2405?\nAnswer: 2403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000679 rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -45414 (base 10) to base 14\nAnswer: -1279c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k + 17. Let d(j) = j + 11. Let a be d(-9). Let o(f) = 1 - 1 + f + 4 + a. What is -17*o(l) + 6*p(l)?\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -882893 divided by -1.\nAnswer: 882893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 13. Find the third derivative of 9 - 2*x**5 - a + 2*x**2 wrt x.\nAnswer: -120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 388570139?\nAnswer: 17, 233, 263, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3703962 less than or equal to 3.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 16*c + 17*c + 7 = 0, -5*o + 3*c = -29 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 2:05 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**5)**(-1\/23)\/((u\/(u\/(((u\/(u**(-1\/7)*u))\/u)\/u)*u))\/(u*u**19)) assuming u is positive.\nAnswer: u**(3645\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*l + 22*l + 26*l + 17*l to r + u*l and give u.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 5*a**2 + 6*a + 6. Let f be t(6). Suppose -i = -f*i + 15. Suppose 2*n = -2*b + 16, -n + 2*b + 62 = i*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oe when two letters picked without replacement from {y: 1, o: 1, u: 2, p: 8, d: 2, e: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (11 - 9 - (-1 + 0))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-6))\/((-296)\/24 + 8)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -15. Suppose 4*q + 0*q - 4 = -t*o, q = -3*o + 3. Let n = -3 - -1. Is n at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/11014567 and 89\/74.\nAnswer: 22029134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 2, t: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 349967 in 27, 0.5, 2?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2 - 32*i - 12. Determine b(16).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*12\/64)\/3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*n + 10*n + 16*n + 69*n + 1 - 21*n.\nAnswer: 26*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**4 - 2*g**4 + 4*g**4 + (-2*g**4 + 4*g - 4*g)*(-6 + 2 + 2) + (3*g**2 - 3*g**2 - 2*g**3)*(-3*g + 3*g + 2*g) + g**4 + 4*g**4 - 3*g**4.\nAnswer: 7*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -j**7\/105 - j**3\/3 - j**2 + 3*j. Let t(n) be the first derivative of i(n). What is the first derivative of t(y) wrt y?\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 s when two letters picked without replacement from zsns?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1854, -2183, -2664, -3291, -4058, -4959, -5988?\n\"Answer: c**3 - 82*c**2 - 90*c - 1683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8310 (base 11) to base 7.\nAnswer: 44064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.0548 + 2.25. Let p = 0 + 0.2. Let a = k - p. What is a rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/(-6) + (47 - 45) and 16\/33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*j**3 + 844 - 844)*(18 + 2*j - 19 + 22).\nAnswer: 48*j**4 + 504*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 3:22 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zdzd when four letters picked without replacement from {z: 3, d: 8, q: 7}.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8609411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*w**2 + 12*w - 25*w + 134*w + 17*w**2 + 44*w as d*w + u*w**2 + j and give d.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, -3, -1, -6, -4, -117 in ascending order.\nAnswer: -117, -6, -4, -3, -2, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -m**4\/12 + m**3 + 3*m**2\/2 + 2*m. What is the remainder when 46\/8 - (-2)\/8 is divided by s(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 441 and 155727.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c - 12. Let p be j(-8). Let h = p - 9. Suppose h = -3*n + 9. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 104 = 17*a. Suppose -1 = -a*u + 7. Solve l + 3*g + u*g = -5, 0 = l - 4*g + 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.58*-1006\nAnswer: -583.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -3) + -3 + 4 + 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 141 = -8*f. Let u = 469 + 63. Suppose m + 3*w + u = 2*m, 0 = 4*m - 3*w - 2083. Calculate the highest common factor of m and f.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/7 + 4*w\/7 - 3040\/7.\nAnswer: 2*(w - 38)*(w + 40)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86929*f - 43463*f - 180*f**2 + 931*f**2 - 43466*f.\nAnswer: 751*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14134 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*s - 1 = 0. Let u be ((-8)\/(-12))\/((-4)\/6). Let x be u\/(-1) - (-1 + 5)\/(-1). Put -2, x, s in increasing order.\nAnswer: -2, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(16\/3)*(-4)\/54.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -1\/2*a**3 + 0 + a**2 + 8*a. Let q be v(-4). What is the greatest common divisor of q and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - s**2 + 9*s + 36. Calculate a(-7).\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 820\/(-328)*12\/15. What is the nearest to g in 0.3, 1.5, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 11429273 = -117373238. Let x = 13288793 + f. What is x rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-75)\/240*-104)\/(302\/(-28)) + 3?\nAnswer: -2\/151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 4 - 5*p + p + 2*p.\nAnswer: -2*p - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 179687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108)*-4)\/sqrt(4))\/(sqrt(63)\/(-2*sqrt(7))) - (2 + (-6*sqrt(30)*2 + sqrt(30))\/(sqrt(10) - sqrt(30)\/(sqrt(3) - sqrt(48))))**2.\nAnswer: -3331\/16 + 41*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -5*y**2. Let h(b) = 3*b**2 + 942*b + 2. What is h(f(k))?\nAnswer: 75*k**4 - 4710*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5 - 2*28\/(-8). Calculate the remainder when 14 is divided by ((-128)\/(-10))\/8 - t\/(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 5\/6, -3, 14, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(76)*5 - (((sqrt(19) - 2*sqrt(19))*-3)**2 + sqrt(19))).\nAnswer: -1026 + 54*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.32875 and -6300.8.\nAnswer: -6301.12875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14930413?\nAnswer: 313, 47701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -4 - -4 - 12\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1765.9826 + -407.247.\nAnswer: -2173.2296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**2 - 1250076*y + 121219736 = 0. What is y?\nAnswer: 97, 312422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.6 + 1.9. Suppose 0 = -3*k + 9, -5*m + 4*k = -2 - 1. Let a be 4\/m*(-75)\/(-125). Sort d, 3, a in increasing order.\nAnswer: d, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-129)\/((-3)\/(-15) - (-34)\/(-20)). Let i = -82 + v. Suppose -b + 212 = b + 2*l, i*l + 530 = 5*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + -19. Suppose -y*c + 2064 = 4*c. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18228327?\nAnswer: 3, 13, 29, 71, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-3 + -1)) + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -8. Let k = i - 8.2. Let u = -3373\/7 + 482. Which is the closest to 0? (a) u (b) -0.1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.252133 times -0.4\nAnswer: -0.1008532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1565045 (base 7) in base 4?\nAnswer: -311023232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -30831 + -1327?\nAnswer: -31b58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 750 = -5*b - 2*w, 4*w - 7*w + 429 = -3*b. Let u = b - -156. Suppose -u*i - 469 = -2173. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, n: 2}. Give prob of sequence ndd.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w + 2. Suppose -d + 3*i = -0*d, 4*d - 4*i = -8. Let l be j(d). Let v(x) = x + 7. Let h be v(-4). Solve -5*g - c = -l*c, 0 = -g + h*c for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - -51. Let n = 84692 + -84755.029. Let a = c + n. Round a to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -g - 3*c, 7*g + 430*c + 36 = 433*c for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 77*t**3 - 22*t**2 - 5. Let k(x) = -38*x**3 + 11*x**2 + 3. Let s(p) = -5*k(p) - 3*v(p). Find the third derivative of s(c) wrt c.\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0391 to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**13*l)\/(l**(-3\/5)\/l))**(-25) assuming l is positive.\nAnswer: l**(-415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -36928\/1593 smaller than -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 6*d - 6. Calculate the remainder when 39 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -456095040, -456095039, -456095038, -456095037, -456095036?\n\"Answer: u - 456095041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - 465\/(-65) - 2\/13. Solve -g*z - h + 19 = 0, 0*h = -5*h + 15 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4560005*y**3 - 146503*y - 18 wrt y.\nAnswer: 27360030*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 77.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49 - -100. Let d = b + -52. Is 19 a factor of 9\/45 - (429\/(-5) + d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 x when four letters picked without replacement from yyyyyyxyyx.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 1) + (4 - 0). Suppose 5*k + 24 = v*k. Suppose 5*o + 4*h - 8 = 22, 3*h = 4*o - k. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -46. Let p = o - 0. Solve -3*v - 2*l = 2, 2*v = -3*l + 8*l + p for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 95*o - 86*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one eighths of a micrometer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 35*u + 1 + 0*u**2 - 2*u**2 to the form s*u**2 + d*u + k and give d.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*g + 19695 = -225782 - 305723. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169 is divided by 56.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5341455536?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5 = 2*y - 2*f, 3*y + 5*f - 19 = 0. Suppose -3*n - y*b + 12 = 0, -n - 2*n + b + 4 = 0. Solve 0 = -4*j + n + 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/5)*d\/(((d*d**0\/d)\/d)\/d))\/((d*d**1\/d)\/(d**(-3)*d))*d*d*d**(-2\/3)*d*d**2*(d*(d**(3\/4)\/d)\/d*d)\/((d**(-5)*d)\/d) assuming d is positive.\nAnswer: d**(641\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 0.2, -2, 32?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2249993498.\nAnswer: 2, 1124996749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xss when three letters picked without replacement from {s: 8, x: 2}.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4963770?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/4)\/((-15)\/160). Suppose 4*l - d = -0*l. Suppose -2*b - l*s + 246 = 0, 0*s - 377 = -3*b - 2*s. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/90*25\/(-140)*4\/6. Let r(c) be the second derivative of 16*c + u*c**4 + 1\/21*c**3 + 0 - 2\/7*c**2. Factor r(w).\nAnswer: 2*(w - 1)*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31144160.\nAnswer: 2, 5, 61, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 770 = -98*v + 276*v - 108*v for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -552 = -88*a + 152 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1284.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pkbbhkppobpbpbbhkbh. What is prob of sequence bp?\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is dc (base 15) in base 3?\nAnswer: 21200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -39*b. Let u(o) = -7490*o. What is 4*u(a) - 770*w(a)?\nAnswer: 70*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/880)\/(54\/4455)?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6498187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1402.4 + 1676. Round j to the nearest 10.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -66*z - 45. Let l(g) = -11*g - 7. Let v(m) = -13*l(m) + 2*p(m). Suppose -16*n + 11*n = -15. Suppose 0 = 2*h - n*h + 1. What is v(h)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89, -178, -265, -350, -433, -514, -593?\nAnswer: -670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, b: 1, l: 5, f: 1, h: 1, u: 2}. What is prob of sequence blu?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9688 - 4044. What are the prime factors of r\/(-28) + (-18)\/42?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4073.5418 and 0.1329?\nAnswer: 4073.4089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2 = 3*m. Let o(c) = -c**3 - 2*c + 2. Let j = 115 - 114. Let d(x) = x**3 + x - 1. Determine j*o(f) + m*d(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 202.8 - 197.96. Round u to 1 decimal place.\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 55*n + 30. Let t be w(4). Suppose 0 = -b + 5*g + t, 105 + 395 = 2*b + g. Does 50 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37031663, 74063327, 111094991, 148126655, 185158319, 222189983?\nAnswer: 259221647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(-32)))\/(w*w**(1\/4)*w))**15 assuming w is positive.\nAnswer: w**(1785\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1427071533.\nAnswer: 3, 2477, 192043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -1. Let y be c\/(-7) - 6\/(-21). Let l = 7 - y. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-69 + 68)\/((-8)\/(-10) + 2\/(-4))\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 530 - 530. Let d be (-2)\/(-8) - 17\/36. Sort g, -2\/39, d in ascending order.\nAnswer: d, -2\/39, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6403645 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a. Let c be o(-5). Suppose 2*d - d - 5*s - c = 0, 0 = -s - 1. Solve d = -q + 2*q - 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 8 + (3 - 10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 3*n + 3. Let c be o(-2). Let m = c + 6. Is 11 a factor of (10 - m\/1) + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/4909812 and 55\/826404?\nAnswer: 83466804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1729273117.\nAnswer: 11, 13, 107, 113017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {f: 6, h: 5, l: 2}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14501, -14293, -14085?\n\"Answer: 208*g - 14709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/13354 and 107\/7284.\nAnswer: 80124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of 7*l**3\/6 + l. Suppose -3*k - 5 = -2*k. Let x(c) = 8*c. Let s(w) = k*x(w) + 6*b(w). Let m(n) = -n. Give s(m(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 84.6 - 85. Sort -1\/14, u, -2\/17 in ascending order.\nAnswer: u, -2\/17, -1\/14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -34\/2493187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u + 37*u + 3*u.\nAnswer: 34*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/4 (b) -0.5582 (c) -0.071 (d) -1\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -346220, -1385373, -3117294, -5541983, -8659440, -12469665?\nAnswer: -16972658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3 + 7)*(-51795)\/(-36)?\nAnswer: 5, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2d8 - -5?\nAnswer: 2dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2406 is divided by 235 - (1\/(-9))\/((-35)\/315) - -6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1080\/(-405))\/((-2)\/(-3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/5 and -85 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 53\/4 of a millennium?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(6\/54*45)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 2*m, -r - 2*m + 6 = m for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from phqpfqfu. Give prob of picking 1 u and 1 p.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 642564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 506 or 498?\nAnswer: 506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (2 + -1 + 8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kexdewdennwn. Give prob of picking 1 k, 1 w, and 1 x.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -11200 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4 = s, 0*s = 5*w + s + 4. Suppose 2*o + b + 58881 = 18886, o - 5*b + 20025 = w. Round o to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35718495 to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/2))**(-4\/11) assuming n is positive.\nAnswer: n**(-2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80006 and 10246?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10385773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 + -15. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4 = -4*k + 10, 0 = p + k - 2. Let a be 4*(-2)\/p*3\/(-42). Factor a*w**3 - 4\/7 + 0*w**2 - 6\/7*w.\nAnswer: 2*(w - 2)*(w + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11816*m**3 - 20238*m**2 - 1.\nAnswer: 70896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -179352, -179340, -179314, -179268, -179196, -179092, -178950, -178764?\nAnswer: -178528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 1 + 3*h)*(-83 + 1 + 15).\nAnswer: -201*h - 268","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.129848 grams in kilograms?\nAnswer: 0.000129848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-126)*-39*(128 + -82 - 49).\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**2 - 66*z + 171 = 0. Calculate z.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rzptpic. What is prob of picking 2 z and 2 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -137*c - 1. Let x(j) = -69*j. Calculate -5*x(g) + 2*z(g).\nAnswer: 71*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.051, 2, 2\/11, -14, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 - 1543335*x**2 + 3086635*x + 4629975.\nAnswer: 5*(x - 308665)*(x - 3)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 1. Let r be (-3 - -2) + 7 + -5. Let y(c) = -7*c + 1. Let b(p) = r*y(p) - v(p). Let l(w) = -65*w - 69*w + 131*w. Determine b(l(g)).\nAnswer: 21*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a - 1 + 1 + (-2*a + 0*a + a)*(3 + 0 - 1) + 4*a - 2*a - 3*a + (1 - 2 + 0)*(4*a + 0*a + 7*a) to the form t*a + z and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 880540147291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0193086ml to litres.\nAnswer: 0.0000193086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 378 + -81?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 23830720 to the power of 1\/3, to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -265*p - 8900 + 950 for p.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 2*v - 16865, -16860 = -459*o + 454*o - v. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 8*r**2. Let p(z) be the third derivative of 5*z**5\/12 - 13*z**2 - 2. What is 11*i(u) - 4*p(u)?\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of s**6\/120 - 3*s**5\/20 + 3*s**4\/8 - 2*s**3\/3 - 6*s**2. Determine i(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3051216521 to the power of 1\/3, to the nearest integer?\nAnswer: 1450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -47*r**7\/42 + r**4\/12 + 9*r**2 - 77*r. Find the third derivative of v(t) wrt t.\nAnswer: -2820*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1793693, 1793690, 1793685, 1793678, 1793669?\n\"Answer: -t**2 + 1793694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 123354259 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) -2\/11 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.021, 5, 20, 2\/5, 0, -1\/2 in increasing order.\nAnswer: -1\/2, 0, 0.021, 2\/5, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, e: 2, s: 4, h: 2, p: 4, f: 2}. What is prob of picking 1 p, 1 h, and 2 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, g: 8}. Give prob of sequence gg.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -29\/2555?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 11*f**3 - 29*f**2 - 23*f. Let v(d) = -2*d**3 + 5*d**2 + 4*d. Let k(o) = o**2 - 6*o - 1. Let m be k(7). Let x(s) = m*i(s) + 34*v(s). Factor x(a).\nAnswer: -2*a*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and 17241856.\nAnswer: 17241855.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -10. What is the greatest common divisor of 3 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4436, -4438, -4442, -4448, -4456, -4466, -4478?\nAnswer: -4492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + z + 2*z)*(-277 + 227 - 512).\nAnswer: -1124*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 2*u + 4. Let d be b(3). Let y(z) = -5*z**3 + 2*z**2 - z. Let t be y(d). What is the units digit of (t + 3)*5\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 610867953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 20492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**2 + 64*v + 15. Let i be l(32). Calculate the greatest common divisor of 50 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 6 - -1 - -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 352 + -380. Let x = 70 + 0. Let i = x + u. Calculate the greatest common factor of i and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17272 divided by 8.\nAnswer: 2159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -19. Let w be (1\/1 + -1)*-1. Suppose 3*q - 51 = -w*q. Calculate the remainder when q is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 236 divide 37760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yb when two letters picked without replacement from {y: 1, b: 1, k: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 12) to base 10\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5524343 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1243061120 and 6640?\nAnswer: 6640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -7. Suppose t = 4*i - w - 3*w + 112, -47 = 2*i + w. Let d = i - -43. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 68059 - 17467 = 0. Suppose -64 + o = 7*f. Round f to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21713 - 21726. What is the closest to m in -0.01, -0.5, 0.02, 2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 278, 710, 1142, 1574, 2006, 2438?\nAnswer: 2870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 * -0.34.\nAnswer: -3.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1482341875 and 7882?\nAnswer: 1482333993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49498 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r**3 + 4*r**2 - 1. Let o(h) be the first derivative of 5*h**4\/4 + 5*h**3\/3 - h + 2328. What is 3*o(c) - 4*q(c)?\nAnswer: -c**3 - c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 + (-2700)\/(-40) + (-2 - 9\/2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17 - 13*k - 12 - 6*k)*(-1 + 4*k + 1) to x*k**2 + b*k + y and give b.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -296*x**3\/3 + 11839*x**2\/3 - 118360*x\/3 - 400\/3.\nAnswer: -(x - 20)**2*(296*x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/((-25)\/(-55))*-1. Suppose 266 = 3*t - 2*b, -2*b - 3 = b. What is the greatest common divisor of t and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4787, -4780, -4769, -4754, -4735?\n\"Answer: 2*k**2 + k - 4790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of t**4\/102 + 7*t**3\/51 + 6*t**2\/17 - 5*t. Suppose q(o) = 0. What is o?\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {m: 1, o: 1, c: 1, b: 1, w: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26711*o**5 + 3*o**2 - 23*o - 67 wrt o?\nAnswer: 1602660*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05322544761 rounded to 6 dps?\nAnswer: -0.053225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 7*c - 11. Give b(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -u - 3*f, 2*u + 90 = 6*u + f. Let k be (3 - u\/6)*3. What is k rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -13*f**2 + 2288*f - 2315. What is w(175)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12053 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 18*x**2 + 12. Suppose -s - 2*s + 207 = 0. Calculate the remainder when (-8 + 2)*s\/(-9) is divided by g(18).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3074915695 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47\/((-235)\/90) + 26759?\nAnswer: 11, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*d**3 - 13 + 23 - 4)*(-3 + 3 - d) in the form n*d + p + z*d**4 + l*d**2 + b*d**3 and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 204443 - -4?\nAnswer: 204447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(2\/(-45))*(-12)\/9. Find the common denominator of ((-26)\/104)\/(8\/x) and -41\/40.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6080185 and 155?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -13.2. Let q(k) = -k**2 - 5*k + 4. Let b be q(-5). Let w be 18\/12*(-4)\/9. What is the closest to w in b, t, 1\/6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 8 = 4*i - 42, -37 = -3*i + 2*w. Suppose 0 = i*g - 46 + 13. Which is smaller: g or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 11:30 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (-6 - 0 - 8308\/(-1302))*(-1383)\/44?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -18, -92, -222, -408, -650, -948?\n\"Answer: -28*z**2 + 10*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -752*r**3 - r**2 + 4*r + 5. Let p be v(5). What is p rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**2\/11 - 120*z\/11 + 244\/11 = 0. Calculate z.\nAnswer: -122, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 12801.44 and -0.5.\nAnswer: 12800.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 + 36. Suppose m - w = -4*m - 4*i, 3*m = 4*i + 4. Suppose 0 = -5*j - 0*j + 280. What is the highest common divisor of m and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2464 and 3128832?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -5*z - 3543 + 3536, 10*z = -a - 28 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 867 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, u: 7, a: 4, c: 3, m: 1}. Give prob of picking 2 u and 1 m.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 81?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -10 - (6 + -5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107, -108, -109?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -4 - ((22 - 24) + 13 + 0)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -0.3, 3\/5, 1\/1154, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6670000 rounded to the nearest 100000?\nAnswer: -6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -3, -5 in descending order.\nAnswer: 2, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -7 + o + 15 - 3*o. Determine k(10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -6*j - 71. Let g be l(-11). Let p be 2 - (0 - -5) - g - -82. Calculate the greatest common divisor of p and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/48 and -149\/144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 14*r + 26. Determine v(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-5)*((z**(1\/47)*z)\/z)\/z*z*z**(-9)*z\/(z**(-2\/167)\/z) assuming z is positive.\nAnswer: z**(-93927\/7849)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence syry when four letters picked without replacement from hybhhhrhs?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*u + 211*u - 434*u = -4, -3*s - 3 = -2*u - 1 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 10*t**2. Let l(q) = 21527438*q**2. Give l(b(s)).\nAnswer: 2152743800*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -4\/15*b**6 + 0*b**2 + 9*b + b**4 + 0*b**5 + 0*b**3 + 0. What is the third derivative of r(l) wrt l?\nAnswer: -192*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i + 0*i + 6*i - 8*i.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5079\/33 + 6\/66. What is the greatest common factor of 132 and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 10) to base 13\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000263781 to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -77158 or -77157?\nAnswer: -77158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 53, 169, 395, 767, 1321, 2093?\nAnswer: 3119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1560 is divided by 516.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(720) + ((sqrt(720) - (sqrt(720) + sqrt(720) + -1)) + sqrt(720) - sqrt(720))*-5 + 2*sqrt(720)*-4 - 6*(sqrt(720) + 1)*-4))**2.\nAnswer: 10032*sqrt(5) + 348841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 2, -91?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13359 + 200383\/15. What is the biggest value in -0.5, -3, 1\/15, x, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**3 - 8*x**2 - 44*x - 48 = 0. Calculate x.\nAnswer: -2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 4041.597 nanograms?\nAnswer: 4.041597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5476, 5490, 5510, 5536, 5568, 5606, 5650?\n\"Answer: 3*b**2 + 5*b + 5468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -10\/19041?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 41 + 138. Let j = w - -349\/2. Is -5 at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 698 is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2. Let g(z) = -z**2. Let a(r) = 3*g(r) - 5*t(r). Let d(m) = -104*m. What is a(d(l))?\nAnswer: 21632*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -5*i - m - 18, 4*m + 1 = i. Sort 4, -204, -4, i.\nAnswer: -204, -4, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-3)*-72*(-23)\/(-276)*20?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - i**2)*(-15 - 11 - 16) to y + z*i + s*i**2 and give s.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 712360 and 3520.\nAnswer: 5698880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2373713369 less than -0.1?\nAnswer: 2373713368.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -45, 4*y + 1297*v - 1295*v = 34 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 3*v**2 + 829*v**3 - 831*v**3 - 3*v**2 + v**2 as z + i*v**3 + a*v**2 + r*v and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.9 - -1. Let h = -3061.858 + 3065. Let t = h + -0.142. Which is the nearest to d? (a) 2\/15 (b) t (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -179 - -2863\/16. Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -5, 219 in decreasing order.\nAnswer: 219, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11276657911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 23*r + 368 = -19*r, -4*r = b - 188. What is the highest common factor of b and 828?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54554106.\nAnswer: 2, 3, 809, 11239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4}. What is prob of picking 2 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -810, -1641, -2472, -3303, -4134, -4965?\nAnswer: -5796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -153, -419, -965, -1929, -3449, -5663?\nAnswer: -8709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 13*g + 9. Let z(q) be the third derivative of q**4\/4 + 2*q**3\/3 - 2183*q**2. Suppose 4*w + 0*w = 20. Calculate w*z(r) - 2*y(r).\nAnswer: 4*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a second in milliseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2637581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 433 and 32475?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kv when two letters picked without replacement from hfyfvmk?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of r**5\/60 - r**4\/4 - 7*r**3\/6 + r**2. Let g = -19 + 25. Determine t(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 430*q = -872, -3147*q + 3145*q = -a + 2 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/8*-1)\/(27\/(-36)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 261 divided by -3.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168906811?\nAnswer: 168906811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-5 - (3 + -4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1567 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 527 a factor of 280891?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*i + i + 6*i**4 - i**2 - i**4 + 2*i to l*i**2 + s*i**4 + p*i + r + t*i**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*d - 24*d + 1072. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10180 to the nearest 100.\nAnswer: 10200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = 40*q - 33*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1196.9799 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 10) + (-6 - -10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2725 = -3*d - 421. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -x**5\/10 + 27*x**2 + 3*x - 21. Let p(r) be the first derivative of b(r). Let h(o) = -6*o**2. Determine p(h(i)).\nAnswer: -216*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 490.1312mm to meters.\nAnswer: 0.4901312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/63)\/((40\/35)\/(-4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -64, -3, 2112 in increasing order.\nAnswer: -64, -4, -3, -1, 2112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 4\/13, 3\/5, 18, 2\/3, 703, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 7*n**2 - 7*n - 3. Let u be p(-6). What is the nearest to -1\/4 in 2, -4\/9, u?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -7. Suppose w*a - a = 72. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -239\/6*p**3 + 0*p + 99*p**2 + 3\/4*p**4 - 2 - 1\/20*p**5. Differentiate x(q) wrt q.\nAnswer: -6*q + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 23*m + 105. Let l be b(6). Solve 78*p - 81*p - l = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -394 != -381?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 21 = 5*z. Suppose 0 = q + 2*q - 6. Let d = q + -4. Sort 4, d, z.\nAnswer: d, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6632094 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 100110?\nAnswer: 100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(76)*-2)\/sqrt(4) - (-2*(sqrt(171) - sqrt(19)) - (1 + sqrt(38)\/sqrt(2))).\nAnswer: -3 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 457926428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.974135l in millilitres?\nAnswer: 974.135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 2*j - 15, 0*j + 12 = -j - 5*a. Suppose -j*b + 35 = 5*y - 2*b, y = -5*b - 17. What is the remainder when (26\/3)\/((-2)\/(-3)) is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 9. Suppose y = 3 + 33. Let k be y*6\/63 - 2. Which is greater: k or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a decade in months?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 26 - 1\/6*d - 1\/18*d**3 - 1\/6*d**2. Factor l(p).\nAnswer: -(p + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 766002822?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5910.9417us?\nAnswer: 0.00000164192825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1226772413 to the nearest integer?\nAnswer: 35025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8069 + 14409. Suppose m = 5*b - 0*b. Let d = b - 417. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3918 + 8162. Suppose -5*x = -x - o. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/2149? (a) 9 (b) -33 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21153653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 + -4)\/((-1)\/3). What is the tens digit of c - (-6)\/3 - -13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10395, -83293, -281211, -666675, -1302211, -2250345, -3573603, -5334511?\nAnswer: -7595595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4579 is divided by 135?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.2 + 1.2. Let b = 4 - 2. What is the second biggest value in b, t, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 9:02 AM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.05 + 0.35. Let t be 3\/((-6)\/14*7). Which is the closest to t? (a) 104 (b) 2 (c) g (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -671655, -1343485, -2015317, -2687151?\n\"Answer: -a**2 - 671827*a + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbubuubbbbb. What is prob of picking 4 b?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 17*x**2 + 1 + 32*x**2 - 13*x**2 - x**3 to the form m + q*x + h*x**2 + d*x**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 37. Suppose -c = -3*o - o. Suppose 39 = o*t - 131. What are the prime factors of t?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 5*x = 19, 20359*x = -11*l + 20360*x - 38 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -20. Suppose -b*h + 12 = -3*h. What is the remainder when h is divided by 6*(-1)\/(1 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 3)*(-9 + 7 - 3)*(793 - 793 - 45*f + (1 - 4 + 5)*(-4 + 4 + 2*f) + 2*f - 2*f + 2*f).\nAnswer: 390*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*g**2 + 69\/5 + 68\/5*g.\nAnswer: -(g - 69)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 5:06 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15904 + 0.6.\nAnswer: 15904.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3004310 + -243?\nAnswer: 3004034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 0.333, -1\/2 in decreasing order.\nAnswer: 4, 2, 0.333, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 2*y + 308 = 0. Suppose -q + 78 = 2*q. What is the remainder when y is divided by q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -10*g. Let r(x) = x + 2. Let i = -53 - -54. Let z(p) = -12*p - 40. Let o(u) = i*z(u) + 20*r(u). Give o(b(j)).\nAnswer: -80*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11051, 88397, 298351, 707219, 1381307, 2386921, 3790367, 5657951?\n\"Answer: 11051*f**3 - 2*f**2 - 5*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 46, 196, 446, 796?\n\"Answer: 50*f**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(108)*-4*1)**2 + 3 - ((-4 + sqrt(108)*-5)**2 - (1 + sqrt(108) + sqrt(108) + 4)**2).\nAnswer: -531 - 120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11750 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1339 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45375 is divided by 15117?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46152 is divided by 471.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyffyyf. What is prob of sequence yffy?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(-4)*r*r\/r**(-3\/8)*r**5\/(r\/(r*r**3))*(r**(-3\/5)\/r)\/r**(-2\/3)*r*r\/r**(-6)*r**5 assuming r is positive.\nAnswer: r**(3293\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 249570805 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, 3, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 53*j**3 + 17*j**2 - 33*j - 319. List the prime factors of s(11).\nAnswer: 2, 7, 11, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -159 - -170. Suppose n - 432 = -b*n. Calculate the smallest common multiple of n and 27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2.1 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from powpowwwwoo. Give prob of sequence pw.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*w + 31. Suppose -4*x = -3*f - 15, -x - 4*x - 2*f - w = 0. Let j = 379\/4 + -96. Which is smaller: j or x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o - 1. Determine t(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/4)\/k)\/(((k\/(k*k**7))\/k)\/k))\/(((k\/(k*k*k*k*k**2)*k)\/k)\/k*k**(-2\/11)) assuming k is positive.\nAnswer: k**(635\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2.42296 centuries?\nAnswer: 24.2296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 15*z**3 - z**2 - 2*z + 2. Let j(h) = -46*h**3 + 3*h**2 + 7*h - 7. Calculate -2*j(f) - 7*m(f).\nAnswer: -13*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 962\/(-46) - (408\/391)\/12.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1998 is divided by 550.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1956, 1959, 1962?\nAnswer: 1965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 43*g**2 - 18*g + 32. What is c(2)?\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 581309 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -426264*f**6 + 65222*f**2 + 4?\nAnswer: -51151680*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -305770 divided by -2\nAnswer: 152885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) - 6*(sqrt(65) - sqrt(65)*-3))\/((sqrt(250) - sqrt(10))\/sqrt(2)).\nAnswer: -23*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*k + 4, 2*d = -k - 2*d + 2. Suppose 1610 = -2*z + z + 5*w, -2*z - k*w = 3196. Round z to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 10*y - 31745, 2*y = -6*h + 10*h - 25356. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(192) - (-2 + sqrt(6)\/sqrt(2))) + 1)**2.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/(sqrt(864) + (sqrt(864)*-2 - sqrt(864))))**2.\nAnswer: 17\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 72764 or 72877?\nAnswer: 72877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - p + 4. Let r be t(0). Let l(n) = n - 4 - n**2 + 5 + r*n**2. Let z be l(-1). Which is the third smallest value? (a) -0.3 (b) 4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2.1631, 4, 13\/3, -7?\nAnswer: 2.1631","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g**2 - 6*g**2 + 2*g**2)*(-4949 + 5976 + 10807) as o + c*g + t*g**2 and give t.\nAnswer: -23668","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 2*w**3\/3 + 3*w**2 + w + 7. Let a be i(-4). Suppose 2*v - a = v. Solve -3*l + b - 6 = -2*l, -v = -3*b for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -279*r**3 - 90*r**3 + 547*r**3.\nAnswer: 178*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 41015 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 -2*f + 3*l + 77 = 2*f, -2*f = l - 41. Let o be (1032\/f)\/(-6) - 2\/5. Let w = 19 + o. What is the least common multiple of 16 and w?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -683 + 681. Is 140 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1177518738 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 9*i**2 - 83*i + 200. Give g(7).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -n + 3*c, -4*n - 5*c = -192 + 222 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of 3*y**4\/4 - 5*y**3\/6 + 7*y. Find the second derivative of a(v) wrt v.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 1146. Let c(a) = 2*a**2 + 2*a. What is c(o(q))?\nAnswer: 2*q**4 + 4582*q**2 + 2624340","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + (sqrt(91) - -1*(sqrt(91) + (sqrt(91) - sqrt(91)*-3))) - 3*sqrt(91)*-5)\/((sqrt(252)\/sqrt(192))\/(3*sqrt(48))).\nAnswer: 1056*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(2\/15)*k**(-5))\/(k**(3\/5)*k*k*k*k\/(k**(-1\/14)\/k)*k) assuming k is positive.\nAnswer: k**(-2213\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 93693955 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 - 12 + 3*x**2 + 8*x - 6*x**2 + 7*x. Let m be r(14). Let y be (16\/(-6))\/(m\/(-108)). What is the highest common factor of 18 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 9}. What is prob of sequence kkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0303 rounded to 3 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 52, 653, 2314, 5563, 10928?\n\"Answer: 88*b**3 + 2*b**2 - 21*b - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 1010100?\nAnswer: 1011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 12:52 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 333025 greater than or equal to -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 9*a**2 + 116*a - 1045. Determine n(10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 38\/95 - ((-316)\/10 - 1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, i: 2}. What is prob of picking 1 d and 1 i?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3172*q + 4. Let o be r(-6). Let x = 32028 + o. Round x to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of z**4\/12 - 4*z**3\/3 + 33*z**2. Let n(i) = i**3 - 8*i**2. Let f be n(8). Suppose 4*g = -3*d + 25, -g + 1 = -f. What is o(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b84 + 1298?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 279289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000130569 to seven decimal places.\nAnswer: -0.0001306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01779 to 3 decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1790.3322 + -0.3322. Let j = y + -1789.267. What is j rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.126 - 64.874. Let v(f) = -2*f**2 - 219*f + 2005. Let d be v(-118). Which is the second biggest value? (a) o (b) d (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50178027144 + 0.5.\nAnswer: 50178027144.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3857 - 6484. Round p to the nearest 100.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 6*x**3 + 2*x**2 - x - 2. Suppose -4*p + 4 - 12 = 4*z, 3*z - p = 6. Let d be 15\/5 + z\/(-1). Calculate the least common multiple of n(d) and 10.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93183.\nAnswer: 3, 89, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 3197*j - 157301. What is n(50)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 4*d - 27 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (441\/252)\/((-14)\/(-12))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (1 - 1) + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -22. Solve 4*z - u - 7 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x. Let j(i) = -i**2 - 5*i + 4. Let t be j(-5). Let q(l) = -t*l - l + 3*l + 0*l. Determine v(q(d)).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1670*c + 6*c**2 + c**3 - c**2 - 1665*c + (4*c - 4*c + c**2)*(-2*c + 2*c + 3*c).\nAnswer: 4*c**3 + 5*c**2 + 5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(1331)*-2 - sqrt(1331)) + sqrt(1331))*3 - ((sqrt(1331) + 1)*-5 - ((-1 + sqrt(1331) - sqrt(1331)) + 1)))**2.\nAnswer: 1210*sqrt(11) + 161076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -5, 2, 0.5, -2, 37 in increasing order.\nAnswer: -5, -3, -2, 0.5, 1, 2, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -157, 10\/9, -15, 5?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -2*(3 + 2*(-4 + (sqrt(176) - sqrt(11)) - sqrt(11)))*5)*3)**2.\nAnswer: -36000*sqrt(11) + 180900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-20))\/(7 + 3505\/(-490)). Let y = n + -1\/75. Let o = 3.92 + 0.08. Which is the closest to y? (a) o (b) -5 (c) 0.25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -20 + 54b?\nAnswer: 52b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 12 - 2*b**3 + 7*b**3 + 5.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + (100 - (98 + 23)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w + 1. Let u(m) = -3*m + 2. Let g(d) = 2*h(d) - u(d). Suppose 2*t - 30 = 4*t - 4*j, 2*j = 0. Let f = 10 + t. What is g(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21776437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -4869105 greater than or equal to -48691059\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 16, 74, 200, 418?\nAnswer: 752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 170 and 30.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*v**4 + 0 + 0)*(3 + 0 - 1) + (-42*v**3 + 42*v**3 - 6*v**4)*(3 + 1 - 3) to the form k*v + z*v**4 + g*v**3 + y + w*v**2 and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 6) in base 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3\/31 (b) 0.4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -82\/2805 and -71\/6315.\nAnswer: 1180905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -27 - -2071 - (-18)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - v - 3. Suppose 2*m + 2*q = 8 + 12, 3*m - 46 = 5*q. Let k = -12 + m. Give p(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-6\/7)*h*h**(-7\/2)\/h*h**(1\/6)*h**(2\/27)\/h assuming h is positive.\nAnswer: h**(-967\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and 313933.9?\nAnswer: 313934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, m: 2}. Give prob of sequence qm.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5 = -3*k. Let m(s) = -s**2 + 5*s - 6. Let r be m(k). Let w be ((-12)\/(-8))\/(r\/16). Sort w, 0, -3 in descending order.\nAnswer: 0, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2383, 4735, 7099, 9481, 11887, 14323, 16795, 19309?\nAnswer: 21871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiliiiiiiiili. Give prob of picking 3 i and 1 l.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2 = 0, -2 - 1 = b + 3*y. Let i be 4\/6*(-3)\/b. Put 4\/5, 0, i in increasing order.\nAnswer: 0, i, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-6)*(-45)\/10. Let i = -19 + 37\/2. What is the nearest to -4 in o, 5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3086816 + -11?\nAnswer: -3086827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1806917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 2*i + 1. Let z be g(-2). Let c(a) = 89*a**3 + a**2 - 1. What is the remainder when c(z) is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -80730 + 9?\nAnswer: -80721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1513493699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -6*q - 1. List the prime factors of r(-8).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 + 112\nAnswer: 112.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 9*y**2 - 3*y - 20. Let i be g(-9). Solve 0 = -23*p + i*p + 48 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(1\/6)*c)*c)**(2\/63)\/((c**1\/c)\/c**(2\/13)) assuming c is positive.\nAnswer: c**(443\/2457)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20234, -40346, -60458, -80570, -100682?\nAnswer: -120794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z - z - 3*z - 101 + 101 - 13*z + 3*z - 2*z + 0*z + (-8*z + 7*z + 5*z)*(-1 - 5 + 4) + 2*z - 1 + 1 + (z - 2*z + 2*z)*(2 + 0 - 3) - 1 + 1 + 2*z.\nAnswer: -18*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*k = -10. Suppose m = -0*w - 2*w + 46, k*m + 5*w = 88. Let u = -35 + m. 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: How many microseconds are there in eleven eighths of a millisecond?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1940077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(((o\/(o**2*o))\/o)\/o))\/o*o*o**0)\/(o**4*o**(1\/5))*(o**(3\/2)*o*o*o**(5\/3))\/(o*o**8*o*o**(6\/5)\/o) assuming o is positive.\nAnswer: o**(-127\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 103691 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 - 4*q + 4*q)*(-9*q + 0*q + 2*q).\nAnswer: -14*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 71*o + 50*o - 161*o to the form h*o + k and give h.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a factor of 3446040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 9) to base 8.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/3)*g)**7)**12 assuming g is positive.\nAnswer: g**140","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5200*m - 33. Suppose -2*w + 25 = 2*c + 17, 5*c = w - 10. Is x(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -20 + -16?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 17, 513.\nAnswer: -10, 17, 513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 4 + 7 + -5 + -15.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1504\/9 at most -1537?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 821*u**2 - 3*u + 15. Is s(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1185 or -1389?\nAnswer: -1185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1059868?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -177 (base 9) to base 5.\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 200 and 3250875?\nAnswer: 26007000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 253613157 or 253613158?\nAnswer: 253613157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttrotmortoo. What is prob of picking 1 t and 2 r?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w - 29. Let v be n(-17). Solve 2*m = v*i - 10, -3*m + 0 = -3*i + 15 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -714 + 713. What is the closest to 0.8 in k, -20, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -218, 0.4, -3\/2 in descending order.\nAnswer: 0.4, -3\/2, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 4 = -y. Let d be (-1*34)\/((-8)\/y). Solve -k = 5*b - d, -5*k - 44 = -5*b - 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -6*h + 9*h**2 - 4*h**2 + 4 - 31*h**3 + 32*h**3. Let s be l(-6). Solve 0 = -s*z - 3*t - 3, z + 2*z + 2*t = -3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 3296*n + 2. Let u(z) = -z. Calculate x(u(l)).\nAnswer: l**2 + 3296*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 39.90496 grams?\nAnswer: 39904960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82, 73, 50, 7, -62?\nAnswer: -163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -74161000 to the nearest 1000000.\nAnswer: -74000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/14*(-48)\/(-40).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 14b5?\nAnswer: -14b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -363 + 591. Suppose 5*f - u = -f. Let h = 178 - 102. What is the highest common divisor of f and h?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57314860.\nAnswer: 2, 5, 2865743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -5 + (sqrt(44) + -2 - sqrt(44))*-1 + 1 + -1*sqrt(11) + 2 + sqrt(110)\/(sqrt(10)*-1))**2.\nAnswer: -4*sqrt(11) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -36. Let b be -1 - 1 - (1107\/(-9) + 21). What is the greatest common divisor of q and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 - 3 + 1)*(145 + 18*w - 145) + 0*w - 2*w + 3*w)*(-2*w - w + w) in the form k*w + u + h*w**2 and give h.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 = -4*u - 68*p + 70*p, -4*u + 1 = p for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.5 (c) 0.8 (d) -19 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*h + 237*h - 827 = -578*s + 579*s + 150 - 296, 2*h - 13 = 5*s for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 2 - 2 = -2*i, 4*p + 10 = 2*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183 + 179 - 208*w + 614*w - 206*w - 202*w.\nAnswer: -2*w - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2412.32157 - -0.07843. Round k to the nearest 10.\nAnswer: 2410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/14)\/((-24)\/(-28))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o**2. Let m(u) = -201046*u. What is p(m(d))?\nAnswer: -121258482348*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1894 from 0.13649586531.\nAnswer: -1893.86350413469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5933706797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2424570 - -a?\nAnswer: 242457a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 53632646539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((g*g**(-5))\/g)\/g*g*g*g*g**(1\/3)*g)**10)**49)**3 assuming g is positive.\nAnswer: g**(-2450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2614753778?\nAnswer: 2, 7, 13, 71, 137, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 595 or 592?\nAnswer: 595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 28.334 and -0.8611296.\nAnswer: 27.4728704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -38 + 130*h**2 + 21*h + 19 + 24*h + 20 - 36*h as i*h + c + a*h**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/497 or -3491.5?\nAnswer: -6\/497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/3*(-2436)\/665 - -12?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1749, -7258, -16441, -29298?\n\"Answer: -1837*f**2 + 2*f + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 84*m**3 + 1362*m.\nAnswer: 504*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**3 + 3*i**2 - 19*i - 5. Let v(w) = -2*w**3 - 2*w**2 + 13*w + 3. Let g(q) = -5*u(q) - 7*v(q). What is the remainder when 17 is divided by g(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -5 + 7 - 2 - 1. Let c(z) = z - 7. Let x(b) = 2*c(b) - 14*k(b). Let q(v) = -12*v - 3 + 3. Calculate x(q(n)).\nAnswer: -24*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, k: 8, h: 10}. Give prob of picking 2 h.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1636 times -0.09?\nAnswer: 147.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -226*s**3 + 6*s**2 + 2*s - 2. Let z = -71 - -68. Let i be t(z). Suppose -5127 - i = -3*y - 5*n, n = y - 3753. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50243409*c**4\/2 + 762637761*c**3\/2 - 67667589*c**2 + 4023734*c - 79860.\nAnswer: -(c - 15)*(369*c - 22)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 71862632 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of v**5\/6 - v**4\/6 - v**3\/2 - 9*v**2. What are the prime factors of h(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*f - 2813 = 39512. What is the remainder when f is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 3*b**2 - 4*b + 2. Let m be i(4). Suppose -5*t + 0*l + 56 = -l, -t - m*l = -9. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1974 a factor of 10619986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 28606600 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, u: 1, t: 1, a: 1, g: 3}. Give prob of sequence gv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 75*w**4 + 19*w**4 - 47*w**4 + (-1743*w - 131*w**2 + 2*w**4 + 1743*w)*(-6 + 0 + 0) as q + s*w**2 + l*w + u*w**4 + d*w**3 and give u.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**2 - 7. Suppose 2*s + 4*u + u + 1 = 0, -4*u - 2 = s. Let b(i) = s*i + 13 + 26 - 39. What is x(b(y))?\nAnswer: -8*y**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 2*q. Suppose q*x + x + 1 = 0. Let m = 0.1 + 0.1. Sort m, x, -5 in descending order.\nAnswer: m, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, 2\/9, -0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -0.03, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhfhxfu. What is prob of picking 2 f?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 24\/17, -5 in decreasing order.\nAnswer: 4, 24\/17, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 11. Let r(l) = l**3 + 4*l**2 - 2*l - 6. Let j be r(-4). Let o be j\/(-7) - 5\/56. Which is the second biggest value? (a) f (b) -2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 10:27 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -h, 4*h = 5*l - h. Suppose l*z + 2*z = -2. Let g be (1\/(-4))\/(30\/(-40)). Which is the nearest to 0.1? (a) g (b) -3\/7 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-132)\/110)\/(6\/(-20)). Is 1\/(b + (-7286)\/1822) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41857*s**5 - 11513*s**2?\nAnswer: -2511420*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of h**6\/320 - 3*h**5\/160 + 3*h**4\/64 - h**3\/16 - h**2. Factor o(f).\nAnswer: 3*(f - 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 4*s - 7. Let f(h) = -40*h + 76. Let c be f(2). Calculate i(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*c - 30*c = 37240 - 43664 for c.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(51) + sqrt(816)))\/(1*sqrt(48)).\nAnswer: 5*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((z - z - 2*z)*(4 - 3 - 3) + 0*z + 2*z + z)*(41 - 73 + 44) + (-4 + 3 + 4)*(2*z + z - 5*z) to s + g*z and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14409662 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -957000 rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57937 and 1012?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125 + 2*b**2 - 58*b + 130 - 39*b**2.\nAnswer: -37*b**2 - 58*b + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -1480230808076\nAnswer: -1480230808072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*x**3 - 92847*x**2 + 6219800*x - 103830000.\nAnswer: -(x + 10383)*(3*x - 100)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 7:51 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-28) + 29814\/28. Let f = g - 1028. Calculate the common denominator of (-56)\/6 + (-24)\/(-16)*-2 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -5341, 1\/10, 0, 29 in increasing order.\nAnswer: -5341, -15, 0, 1\/10, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-81)\/18*(-2 + 0). Let n(p) = -2*p - 7. Let l(i) = -i - 4. Let r(m) = 5*l(m) - 3*n(m). Is r(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 3*f**2 - 6*f + 13. Calculate o(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6952 and 237?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 13188472.4 to the nearest 1000.\nAnswer: 13188000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 41 = d - 87, 510 = 5*d + i. Suppose d - 67 = -3*g. Let x be g\/(-1)*207\/27. What is the highest common divisor of x and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -1 - 3. Suppose 2 = 5*k + c*u - 33, 29 = k - 4*u. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qs when two letters picked without replacement from {n: 1, q: 2, s: 1, y: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1 - (-6)\/(-8))*(-2584)\/527 and (4 + -3)\/((-9)\/(-123)).\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 - 26.4. Let i = l + -4. Let r = 19.8 - 19.7. Which is the closest to 2\/7? (a) r (b) i (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2276301 is divided by 752.\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 0, -8*f + 4*f + 848 = k. Suppose 8*z = 4*z + f. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/7 + (-76)\/(-28). Suppose u*t = -t + 28. Suppose 4*r - 1 = t. Is 2 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 25 = 0, -4*c + b + 23856 = -27745. What are the prime factors of c?\nAnswer: 12899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/25 of a microsecond?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1795857?\nAnswer: 3, 7, 85517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 3:34 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2581883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16672*b - 16391*b + 33061*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81238 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*s - 2464 = 4540, 0 = 2*q + 5*s - 6984. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115 = 24*j - j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -101010212 (base 3) in base 6?\nAnswer: -54122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 158714287*z + 76479577?\nAnswer: 158714287","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5182659772?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 - 2*k**2 + 4*k**2 - 2*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -281 + 279. What is the closest to f in 1, -4, 1\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -1\/3*f**3 + 0 + 1\/6*f**4 + 0*f**2 - 2*f. Determine m so that r(m) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/7110561 and 14\/2127?\nAnswer: 7110561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -36*t + 12. Let j be l(-9). Suppose -3*u + j = -u. Let w = u - 95. Does 27 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13379 divided by -13255.\nAnswer: 13379\/13255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 4)*(11320 + 1125*s**2 - 11320).\nAnswer: 6750*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31227\/11 + 2841. Let d = 995\/451 - q. Is d smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -442*l**2 + 77*l**2 + 4 + 4 - 8 to the form b + h*l**2 + y*l and give h.\nAnswer: -365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6*5\/(-20) + (-1)\/(-2). Suppose 2*n = -5*k + 1045, -101 - 495 = -3*k + 5*n. Suppose -d - q*d = -k. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 r, and 1 c when three letters picked without replacement from ceoreeneoocceoeccde?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-6))\/((-4)\/(-228)). Suppose o = 9 + d. Is 16 a factor of o - (-5 + 2 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2228 + 2232. What is the closest to 1 in -2\/3, -2\/13, 0.08, w?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wiww when four letters picked without replacement from {w: 7, i: 3}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 0*c**3 + 13*c**3 + 1 to the form r*c**2 + m*c + b + g*c**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10716061549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1637 divided by 171\nAnswer: 1637\/171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*v - 2. Suppose 4*x - 45 + v = 0. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 293265.9215 and 0.329.\nAnswer: 293266.2505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*l - 4*l - 4*l)*(-45*l + 25*l + 35*l)*(-2*l + l + 2*l).\nAnswer: -225*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1173485313?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 4, 229, 383, -3.\nAnswer: -5, -3, 3, 4, 229, 383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 315156 >= 315154?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18b + 1?\nAnswer: -18a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 407.616 to the nearest ten.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -3. Let u be 7\/14 - 10\/b. Suppose -4*z + 2 = -3*z. Solve -z*d - 3 = -u*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -69*r**2 + r + 2. Let c be w(4). Let f = c + 5537\/5. Calculate the common denominator of -37\/12 and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-22))\/2*((-182967)\/(-1278))\/(-859)\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 162*s**2 - 1161936*s + 2083480352.\nAnswer: 2*(9*s - 32276)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 11*c**2 + 2*c - 1. Let b be r(1). Let f be (1\/b)\/(12\/32). Let j = 4 - 3. What is the closest to f in 2\/13, 0.4, j?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g - 4*g + g + (-5*g + g + 2*g)*(3 + 2 - 4))*(27 - 6 - g**3 - 2) to a + z*g**4 + w*g**3 + p*g**2 + o*g and give o.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5*c = 101, -n = 2*n + 4*c - 76. Suppose 0 = -0*m + 3*m - 12. Calculate the lowest common multiple of n and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 73, 644, 1579, 2872, 4517, 6508, 8839?\n\"Answer: -k**3 + 188*k**2 + 14*k - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1082922131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164 = 67*n + 61*n - 132*n for n.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + 0 + 12\/(-5). Sort 2\/13, k, -3.\nAnswer: -3, 2\/13, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5055*c**3 - 3*c**2 - 9*c - 6. What are the prime factors of g(-1)?\nAnswer: 3, 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3639*q + 1891*q + 1838*q - 5670 = 0 for q.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 37 - 23 + 5*n**3 - 7*n**3 - n + 7*n**2 + n**3 + 3*n**2. What is l(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.88 + -0.12. Let q = n + 5.3. Let i = -12 + 8. Sort -0.3, q, i in decreasing order.\nAnswer: q, -0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/(30\/(-4)) + (-59)\/3. Calculate the common denominator of 32 and (c\/3)\/((-5)\/3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-1))\/4 + (18036\/495)\/12\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -3*a**3\/2 - 26*a**2 - 53*a. Let d = 12 + -5. What is the remainder when m(-11) is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 26 = -8. Let z be 10 + i + (1 - -1). Suppose -2*y = -5*v - 1 + z, -5*y = 20. Solve w = v, 4*c + 4*w = 5*w - 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**3 - 3*a**3 - 18842 + 9426 + 9416.\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 554 divide 1023238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68 and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4747205\/149 + 95581\/3. Is 0 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -1585*k + 1640470. Determine v(1035).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 7:11 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 2*x + 3. Let m be 10\/45 + (-20)\/9. What is the units digit of j(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72831088.34 rounded to the nearest one thousand?\nAnswer: -72831000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3420\/(-627) - (-3 + -1 + -2)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, m: 2, u: 2, x: 2}. Give prob of sequence upxm.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1560*j = 16639 + 22361 for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -6 - 100\/(-16) - (-145229)\/28?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51 - -451. Round o to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 3*v + 45, 0 = -5*v + 2*v. Let t = 4 + -7. Let l be (-87)\/(-18) - t\/18. What is the greatest common divisor of z and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.1303 milligrams to nanograms.\nAnswer: 10130300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -11, -42, -93, -164, -255?\n\"Answer: -10*w**2 - w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10941 + -6559. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 4 = -24*p + 21*p, -15*q = -3*p + 81 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.2, 5, 1\/3, -1641 in increasing order.\nAnswer: -1641, 0.2, 1\/3, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/955 + -5912\/86905. Suppose -65*j + 134*j - 4*h = 17, 5*h = 65. Which is smaller: j or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -2 (b) -11 (c) 0.4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -15.09. Let x = p - -2.09. What is the nearest to 1 in x, 4, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18723 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: Suppose 5*r - 2 + 3 = 2*s, -2*r = 2. Let y = -15115 - -8923. List the prime factors of ((y\/6)\/6)\/(s\/1).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1843.929 to the nearest integer.\nAnswer: 1844","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5\/8, -105\/4, 2.\nAnswer: -105\/4, -4, 5\/8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 w when four letters picked without replacement from wetewqwxewtxwe?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -849177, -849136, -849085, -849018, -848929, -848812, -848661, -848470?\nAnswer: -848233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51 and 14551473?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 670396761791.\nAnswer: -670396761786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.8015 - -0.689. Let r = q + 9. Let i = r + 0.11. What is i rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 912 and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.2 + -67.2. Let x = 62.000328 + r. What is x rounded to five decimal places?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*o**2 - 2 + 1018*o + 9*o**2 - 21*o**2.\nAnswer: o**2 + 1018*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 4 = -4*b. Let f = b - -2. Let o(l) = 0*l - f - 7*l**3 - 5*l**2 + 3*l + 8*l**3 - l. Determine o(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 0*i**2 - i**2 - 6*i**2 - 143 + 116 + 10*i**2 = 0.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -42 - (312 - 308)) + -16?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 20*m + m**2 - 15*m - 16*m - 9. Let q(f) = 11*f + 59. Let n be q(-6). Let g be a(n). Calculate the greatest common factor of g and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 9:02 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42942338?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -647\/14352 + 1\/624. Find the common denominator of b and 4\/3.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106.9525 times 4.3?\nAnswer: -459.89575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4 - 19*d**3 - 145*d**2 - 125*d.\nAnswer: d*(d - 25)*(d + 1)*(d + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7223 or 28897\/4?\nAnswer: 28897\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 85 - 8545?\nAnswer: -8460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/16005 and -53\/8853966.\nAnswer: 44269830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3, -26, -65, -120, -191, -278?\n\"Answer: -8*t**2 + t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 8*y - 4. What is the units digit of u(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418641 divided by -4?\nAnswer: -418641\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1360 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 1 + 21 = 0. Suppose 0 = -l - 3*y + 4*y - 36, -180 = 4*l + j*y. Let u be l\/(-15)*(-9)\/(-6). Solve 3*g - 5*g - u = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 984\/82 - 20\/(-880)*-451\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b + 18. Let z = -72 - -53. Let n be q(z). Sort -3, n, 28.\nAnswer: -3, n, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p - 1. Let b(z) = 8*z - 9. Let y(t) = -2*b(t) + 14*x(t). Suppose -2*f + 5*f = -21. What are the prime factors of y(f)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1217275704 by 87599.\nAnswer: 13896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 26*f**2 - 837*f + 24. Is p(-43) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 - -26. Let q(g) = -5*g**2 + g - 6. Let j(f) = 4*f**2 - 2*f + 6. Let x(i) = 4*j(i) + 3*q(i). Calculate x(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22851211\/18 greater than 1269512?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4104422 - 0.4109. What is t rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7082 is divided by 3539?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 = -34*c + 1259. Solve 6*i + c - 3 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 588 - 333. What are the prime factors of g?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, z: 1, q: 2, m: 1, c: 2, j: 1}. What is prob of sequence jcqc?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69310 + -27131. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 251*c**3 - 1 - 2*c**2 - 330*c**3 - 193*c**3 as t*c + j + p*c**3 + f*c**2 and give p.\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.065 - -21495.345.\nAnswer: 21495.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 167.000445 - 167. What is h rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-2)*(2\/(-35))\/(352\/320).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 6 = -4*u. Suppose -2*c - 9 = 3*b, -4 = b - 2*c + u*c. Is ((-10)\/20)\/(b\/6) - -1571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*l + 48 - 10*l + 347 + 34 - l**2 - 7*l to the form y*l + v + m*l**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2260278 by 19.\nAnswer: -118962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2\/2 + 6*u - 495\/2.\nAnswer: 3*(u - 11)*(u + 15)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 2*c + 1502 = 0. Let p = -348 + c. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40113 + 40112.960414. What is d rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 83 - 20. Let t = y - 9. Suppose -b + t = b. Calculate the highest common factor of b and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -0*h + 5. Let i be (1\/h)\/((-4)\/8). Let f = -25 + 25.2. Which is the nearest to i? (a) f (b) -1 (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -407\/10 at least as big as -40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15\/(-6)*12740\/(-25)?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 437 + -415. Suppose -24 = -8*l + 4*l. Calculate the lowest common multiple of l\/(-4)*2*-6 and z.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s - 3. Let f be g(-7). Suppose 30 = t + f*t. Suppose -2*r - 32 = -t*r. Calculate the greatest common divisor of 32 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-190)\/44 - 12\/66 - -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -0*i + 2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b - 3. Let n be (-6*(-8)\/48)\/(1\/2). Let m(v) = -8*v + 13. Calculate n*m(g) + 9*l(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 4*u + 15, u - 2*c = c + 9. Suppose 175*m - 172*m = -3*n + 18, 5 = m. Put -3, u, 8, n in increasing order.\nAnswer: -3, u, n, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 3. Suppose -3 = -m - 5*b, 3*b = -a*m - 0*b + 13. Solve 3*o + m = -o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**3 + 4*b**3 + 0*b**3)*(3 + 2*b - 3) + 0*b**4 - 2*b**4 + 3*b**4 + (-20*b + 20*b + 21*b**2)*(-4*b**2 + 3*b**2 + 4*b**2).\nAnswer: 74*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -184893 to the nearest one hundred.\nAnswer: -184900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/2 - 18701*c\/2 - 102916.\nAnswer: (c - 18712)*(c + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.61 + -19.4.\nAnswer: -20.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 + -43. What is the tens digit of (8\/(-4))\/u*6116\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n**2 + 5*n - 2*n**2 - 3*n)*(2 + 4*n - 2)*(-1 - 1 + 4) in the form t*n**2 + a*n + y*n**3 + b and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - -0.027. Let j = i + 1.173. Which is the closest to j? (a) -0.1 (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**3*i*l**2 + b**3*i + 4*b**3*l**3 + 7*b**3*l**2 + b*i*l**3 - i*l**3 + 2*i*l**2 wrt l.\nAnswer: 24*b**3 + 6*b*i - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence szs when three letters picked without replacement from wsszsszzzsw?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**5\/3 + 315*u**4 - 14041*u**3\/3 - 57451*u**2\/3 - 19943*u - 17366\/3 = 0 for u.\nAnswer: -2, -1, -1\/2, 19, 457","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 25 = -23 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 61 (base 12) to base 2\nAnswer: 1001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 366425.8 millimeters to kilometers.\nAnswer: 0.3664258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*a + 2 = 7, 2 = 2*a. Find the third derivative of 91*j**2 - 8*j**2 - 53*j**5 - 47*j**w + 140*j**5 wrt j.\nAnswer: 2400*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.63603 to 2 dps.\nAnswer: 0.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -g**3\/4 - 16703*g**2\/4 + 11284770*g - 7098291459 = 0.\nAnswer: -19139, 1218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -19*h - 529. Let n be d(-30). Let u(f) = f**2 - 43*f + 73. Give u(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4072, 8200, 12366, 16594, 20908?\n\"Answer: 4*p**3 - 5*p**2 + 4115*p - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00958016426 to 6 decimal places.\nAnswer: 0.00958","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 402952, 402933, 402914, 402895, 402876?\nAnswer: 402857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -9662, -4, -3, 12 in decreasing order.\nAnswer: 12, 1, -3, -4, -9662","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - z + 160 = 0. Suppose 0 = 45*y - 51*y - 180. Calculate the remainder when z is divided by -3*5\/y - 147\/(-14).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + sqrt(152)\/(sqrt(32)\/sqrt(4)) + sqrt(19) + sqrt(19) + -2*sqrt(19) + 4.\nAnswer: 4 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 24 from -37510.\nAnswer: -37534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 41*l**3 - 40*l**2 - l.\nAnswer: l*(l - 1)*(41*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a**5 - 400*a**4 + 2820*a**3 - 3200*a**2 + 768*a = 0 for a.\nAnswer: 0, 1\/3, 1, 8, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3)*(2*i - 1 + 1) + 0 + 0 + i + 1 + 2*i - 1 - 6 + 2*i + 6 + (-2 + 2 - i)*(1 - 3 + 0) + 22*i + 15*i - 18*i.\nAnswer: 28*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -842, -3353, -7538, -13397, -20930, -30137?\nAnswer: -41018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4509, -17639, -39391, -69771, -108785, -156439, -212739, -277691?\n\"Answer: -q**3 - 4305*q**2 - 208*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 29\/(-2) - (22 + (-2430)\/108).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -727873 times -0.3\nAnswer: 218361.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8e4e + 118?\nAnswer: -8d36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l - 3*l**2 + l + 2*l)*(234 + 2293 + 81 - 2*l) to the form f + c*l**2 + w*l + g*l**3 and give c.\nAnswer: -7834","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -31, -127, -331, -679, -1207, -1951?\n\"Answer: -6*b**3 - 18*b**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -48 - 30 + 4*j - 15 + 23 in the form g*j + v and give v.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-4 - 1)*-1*2 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 10*d + 7. Let n(l) = -3*l**2 - 29*l - 21. Let r(a) = -2*n(a) - 7*s(a). What is the tens digit of r(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 + 0.2. Let n = -2.86 - 0.04. Let b = n + 3. What is the nearest to -1 in -4\/7, b, q?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 460.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.06 and 128812.\nAnswer: 7728.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10589*y + 10585*y = 3*p - 114, 5*y + 152 = 4*p for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*r**4 + 2*r**2 + 10*r**3 - 9*r**3 + 7*r - 10*r**4 to the form l*r + v*r**3 + g*r**2 + q + c*r**4 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, k: 1, l: 2}. What is prob of sequence hk?\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1777824 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 61 divided by -189\nAnswer: -61\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5068 - -5068. Solve 24*r - 27*r = 2*f + 13, -4*r + 2*f - 8 = u for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1911 - -178148.08\nAnswer: 176237.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 6*j**2 + 5*j - 7. Let h(x) = x**3 + 18*x**2 + 4*x + 39. Let d be h(-18). Let k = 8 + 18. Let g = d + k. Calculate m(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 269*c. Let o(h) = 2367 + 2365 - 3*h - 7094 + 2362. Give o(y(t)).\nAnswer: -807*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18)\/3 - -3 - -8. Let n(a) = 2 - 5 - a**2 + 0 - c*a + 1. Let k be 18\/(-4)*(-8)\/(-6). What is n(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g**(-3))\/(g**(-6)\/g))**2)**37)**1 assuming g is positive.\nAnswer: g**370","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -8. Suppose -5*d - 3 = 2*a + 11, a = d + 7. Sort m, a, 1 in increasing order.\nAnswer: 1, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (8 - 12)) + 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*s - 36. Let x(m) = -4*m**3 - 2*m**2 + 2*m - 4. Let j(a) = -a**3 - a**2 + a - 1. Give s*x(b) - 2*j(b).\nAnswer: -2*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w + 3*w - 3*w + (w + 4*w - 3*w)*(1 - 1 + 2) - 7*w + 2*w + 2*w + w + 2*w - 4*w + (w - 6*w + 3*w)*(1 + 1 - 1).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 143518\/(-3)*(-3)\/(33\/4). Let d = 17394 - l. Let w = -1076\/165 - d. Are -4 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113 (base 6) to base 16.\nAnswer: 2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 2681.\nAnswer: 21448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 1 + 14 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1223, 2538, 3841, 5126, 6387, 7618, 8813?\n\"Answer: -m**3 + 1322*m - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 4*m - 1 - 2 - 6*m + 3*m to the form j*m + n and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, e: 2, n: 1, y: 1, t: 8}. Give prob of sequence mnmt.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 29 - (-11 + 13)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1219781 - 674342. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + 3. Is 14 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a kilometer in meters?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**4\/q)\/(q\/q**(-13)))**(-23\/4))**(-32\/5) assuming q is positive.\nAnswer: q**(-368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(0*t**2 - 4*t**2 + 2*t**2) + 5*t - 5*t - 19*t**2 + 0*t**2 - 2*t**2 - 2 + 1.\nAnswer: -23*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*((l\/l**(5\/6))\/l)\/l)**40 assuming l is positive.\nAnswer: l**(-100\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 302, 614, 928, 1244, 1562, 1882, 2204?\nAnswer: 2528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*d - 41*d + 153 = -15*d for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*r**2*v**3 + 5459602*r**2 + 4*v**3 + v**2 - 6*v + 73367 with respect to r.\nAnswer: -12*r*v**3 + 10919204*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 q when three letters picked without replacement from {q: 1, l: 4, s: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-4\/5))\/x**6*(x*x*x**2\/x)**(1\/45))**(-46) assuming x is positive.\nAnswer: x**(3956\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/22? (a) -1\/222 (b) -1\/5 (c) 0.0456\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*v + 4*v. Suppose -3*t - 4*b - 31 = v, -3*b = 2*t + 1 + 21. Put -4, 1, t in descending order.\nAnswer: 1, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 16, -3*p + 2831 = -h + 1159. Let s = p - 2. Let w = -255 + s. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.59 + -17.59. Let x = u - -12.1121. Round x to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 5*x - 14. Let i be q(4). Suppose 12*d = i*d - 20. Suppose -1\/6*h**d + 0*h + 1\/6*h**3 + 0 = 0. What is h?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*o - 53 + 5. Let s(q) be the second derivative of -2\/11*q**2 - o*q + 0 + 1\/66*q**4 + 1\/33*q**3. Factor s(z).\nAnswer: 2*(z - 1)*(z + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 337, -0.2, 111, 5, -4, 0?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -76*a**3 - a**2 + 3*a - 13483.\nAnswer: -228*a**2 - 2*a + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 - 33. What is the closest to a in -1\/4, -1\/5, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15341920283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 939 is divided by 168?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3721*n**3 - 4*n**2 + n**2 + n**2 + 2*n**2 + 4502*n**3.\nAnswer: 781*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 428720357?\nAnswer: 13, 193, 170873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1470))\/(2*sqrt(216) - sqrt(216)) - 3*(((sqrt(320) + (-2*sqrt(320) - sqrt(320) - sqrt(320)))*3 - sqrt(320)) + sqrt(320)*1 + -3).\nAnswer: 9 + 662*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of 3*i**3 + 3*i**2\/2 - i + 444. Let f(w) = -9*w**2 - 4*w + 2. Give 3*f(v) + 4*s(v).\nAnswer: 9*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-4)\/(-56))\/(35\/(-5)).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert d64 (base 16) to base 9.\nAnswer: 4628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1523786 is divided by 3256?\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**5 + 18*f**4 + 62*f**3 + 102*f**2 + 80*f + 24 = 0. What is f?\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 - -8153199.\nAnswer: 8153199.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(45)*-1)\/((sqrt(99) + sqrt(99)*-2 - sqrt(99))\/sqrt(11)) + -4 + sqrt(25)\/sqrt(5) + -2 + -3.\nAnswer: -9 - 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s + 0*s + 0*s)*(-7*s + 2*s + 3*s) - 3*s**2 + 3*s**2 + 2*s**2 - 114*s + 73*s**2 + 56*s + 62*s**2 + 131*s**2 + 60*s to l*s + o*s**2 + g and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 6785381.88 to the nearest 10000.\nAnswer: 6790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 65, 50, 37, 26, 17, 10, 5?\n\"Answer: c**2 - 18*c + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*j = 5 + 91 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 5*x**2 + x + 3. Let u(s) = -6*s**3 + 25*s**2 + 5*s + 16. Let r(h) = -11*l(h) + 2*u(h). Calculate r(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6 (b) -4 (c) 56128 (d) 14\/5 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 5776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11343 - -60?\nAnswer: -11253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5110 - 5110. Let i = 3 + -4. Let f = 1 + i. Solve f = -g*c - 5*c - 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34978, 69958, 104938, 139918?\nAnswer: 174898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lyyyyyylyy. Give prob of sequence yl.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -12*(-5)\/(10\/3). Suppose o = -0*o + u. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (141 + 25*c - 141)*(-4 + 3 + 3).\nAnswer: 50*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 + 3*h**3 - 3*h**3)*(-2*h + 8*h - 16*h) - 5*h**2 + 2*h**4 - 3*h**4 + 4*h**2 + h**4 - h**4 + h**4.\nAnswer: -10*h**4 - h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 47*f - 1. Let x(y) = -3759*y. Determine x(s(b)).\nAnswer: -176673*b + 3759","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -39*x**5 + 41*x**4 + 37*x**3 - 41*x**2 + 2*x = 0. What is x?\nAnswer: -1, 0, 2\/39, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-24)\/2 - -13) + 0 + 15\/(-35). Put -0.4, -3\/59, 0.3, m in decreasing order.\nAnswer: m, 0.3, -3\/59, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000134814 rounded to six dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6583 is divided by 34?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 10*j - 20. Give w(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - 0 - 2 - -5. Let s be -2*(3\/(-2))\/1. Solve -3*r**4 - r**s - 5*r**2 + 8*r**4 + 3*r**5 + r - v*r = 0 for r.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8722556276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 14*c**2 + 28*c + 47. Let l be z(-20). Let s = l - -4013. Round s to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -64 in 0.2, 1\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a - 12. Let j be s(-4). Sort -1, 0, j in ascending order.\nAnswer: -1, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 1. Let o(q) = -q**3 + 9*q**2 + 4*q - 11. Calculate the remainder when o(9) is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-248)\/(-279) - ((-18970)\/45)\/14?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 241 or 2266?\nAnswer: 2266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1554 by -415.\nAnswer: -1554\/415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 2. Solve 0*z = -3*z, -5*j + y*z - 10 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -25*m + 6. Let f be v(0). Let g(y) = -7*y**2 - 7*y + 7. Let c(a) = 4*a**2 + 4*a - 4. Calculate f*g(t) + 10*c(t).\nAnswer: -2*t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16.05 + 1.05. Which is the nearest to -2? (a) -0.5 (b) y (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 4:10 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 84.3 - 84.5. Let h = -10 - -10. Suppose -d = -h*d - 1. What is the nearest to r in -1\/2, d, 1.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r**2. Let i(f) = -18*f - 13. Let k(v) be the second derivative of -3*v**3\/2 - 3*v**2 - 13*v - 4. Let z(y) = 4*i(y) - 9*k(y). What is z(o(c))?\nAnswer: -27*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -b - 206, 5*b + 64 = t + t. What are the prime factors of 4\/(-14) + 4380\/t?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q**3 + 8*q**2 - 637*q - 644. Determine s(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*p + 15*p - 19*p - 11*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 - 112?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2434? (a) 3 (b) 2\/3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64347793 - 64347793 - 14596*s to the form m*s + c and give m.\nAnswer: -14596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4)\/(128\/48)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -3 - -6 - (10 + (-7 - -1))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 + 5. What is the remainder when 190 is divided by y?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1931 take away -0.009?\nAnswer: -1930.991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 16 = j, 5*j - 57960 = -3*j - 3*r - 57857 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s**3 + 6*s**2 - 11*s - 4. Let r(j) = -5*j**3 + 13*j**2 - 22*j - 7. Let t(n) = -4*r(n) + 7*z(n). Let v be t(-11). Solve v = 3*o - 8*o - 20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 28, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by -433110.\nAnswer: -4\/72185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-2) - 55\/(-2). Let m be ((-3)\/9)\/(7\/(-588)). Suppose -504 = m*w - 40*w. Calculate the greatest common factor of a and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5925249*w - 9455196*w - 10434456*w.\nAnswer: -13964403*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u**3 + 3*u**2 - 2*u + 3. Let f be t(2). Suppose 0*a - 3*a = f. Let d = a - -32. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 13*w**2 + 57*w - 100. Calculate z(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 452357728 plus 0.8288?\nAnswer: 452357728.8288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.4, -0.5, 6 in descending order.\nAnswer: 6, -0.5, -2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*f = 8, -2*f = -4*r - 0*f + 18. Let s(z) = z - 2. Let p be s(r). Is 3 a factor of p*1\/(-6)*-14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 2070 = -10161. Let r = p + 903. Solve -4*c - 5 = t, 2*c - 5 = t + r*c for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 5*d**2 + 2*d + 4. Suppose 0 = 423*s - 417*s - 30. Determine m(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = u - 13, 5*z + 0 = -u - 43. Let p(n) = 3*n**2 + 8*n - 134. Let b(o) = o**2 + 3*o - 45. Calculate u*p(f) + 8*b(f).\nAnswer: -f**2 + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q**3 + q**2 + 3*q - 3. Let y(w) = -11*w + 1. Let s(b) = -43*b + 4. Let p(j) = s(j) - 4*y(j). Calculate -h(l) + 3*p(l).\nAnswer: 3*l**3 - l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 0 + sqrt(2448) + 0 + 2*(0 + -1 + sqrt(2448)))**2.\nAnswer: -216*sqrt(17) + 22041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 8*w + 1. Let b = -324 - -316. Give o(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**4\/2 + 7*h**3 - 16*h**2 - 7*h + 33\/2 = 0. What is h?\nAnswer: -1, 1, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -335*c + 340*c - 15 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 38 (base 9) to base 12\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 97 - 38. Let g = -36 + q. Is g a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6\/71 + 215\/1704. Let o(z) be the third derivative of p*z**4 + 0*z + 1\/6*z**3 - 3*z**2 + 0. Calculate o(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 60*d = -56*d + 8, -2*d = 6*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 405*y**2 - 7595*y - 347. What is s(18)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 11*x**3 - 4*x**2 - 6*x. Let s(z) = -z**3 + z**2 + z. Calculate -4*s(r) - w(r).\nAnswer: -7*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2 + l - 2. Let f = 1 - 0. Suppose -21 + f = -5*a. Suppose 0 = -3*q - a - 2. Determine v(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z - s - 3, 0*z - 3*s = z - 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2926 and 2641.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 2*h - 5*a + 11, -5*a + 187 = 4*h. Let i = h + -40. Suppose m - 3*t + t = 18, -t + i = 0. Is 6 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -11*q**3 + 9*q + 7. Let a(o) be the third derivative of o**6\/24 - o**4\/6 - o**3\/2 - 196*o**2. Calculate -9*a(j) - 4*f(j).\nAnswer: -j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggs when three letters picked without replacement from sdglslgellgl.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*m**4 - 3*m + 12*m**4 - 6*m**4 + 5*m**3)*(0*m - 4*m + 5*m).\nAnswer: -m**5 + 5*m**4 - 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/15*(-10)\/(-2). Let z be h\/12 + 2\/(-3). Let d(p) = 2*p - 5. Let j be d(4). What is the nearest to z in j, -0.5, 1\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*i - 225. Let f be ((-2)\/(-6))\/(5\/i). Suppose -2*v + 4 = -d, -15 = -4*d - f*v + 2. Solve 0*a + a + 5*o = -29, -6 = 4*a - d*o for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**2 - 14*z - 2. Suppose i + 3*i = 48. Let b(a) = -3*a. Let x(w) = w. Let o(t) = -4*b(t) - 11*x(t). What is i*o(n) + f(n)?\nAnswer: 2*n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4180.218 centuries to months.\nAnswer: 5016261.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 4*k - 1. Let j be t(-5). Let u = j + 167. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*i - i + 3*i - 3*i + 4*i + i + (-4 + 7 - 1)*(-i - 2 + 2) + i - 2*i + 2*i - 4*i + 2*i + i.\nAnswer: 23*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*j + 1455 = 70*j. Suppose 108*c - 627 = j*c. Calculate the remainder when 108 is divided by c.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(1*sqrt(810)) + sqrt(3) + -1 + sqrt(363) + 3)**2*1.\nAnswer: 436*sqrt(3)\/9 + 11989\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 11) to base 6\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.9196 at least as big as -4.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*v + 20 = -43*v. Solve 0 = v*q + 2*n, 5*n = -2*q + 3*q - 12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4478247 and 81?\nAnswer: 4478247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58 + -55. Suppose i*z = 2*t + 10 - 2, 5*t = -z + 14. Suppose 3*h - 3*f = 12969, -h + f - 12985 = -z*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 498442 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-878047)\/(-27417) + (-9)\/351?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 4. Let u(k) = -3*k + 15*k - 3*k**g - 9 + 2*k**2 - 2*k. Let j be u(9). Sort -1, -5, j in descending order.\nAnswer: j, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - ((-47)\/(-15) - 3). Let r = -14\/1259 - -2616\/8813. What is the fourth smallest value in r, u, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 79.\nAnswer: -7.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 179599.3 meters?\nAnswer: 179599300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, m: 5, n: 2, i: 1, d: 7}. What is prob of picking 1 n, 1 i, and 1 m?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, 13, -2\/5, 3, 0.099, -1\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -4. Let c be 5*((-180)\/25 - -3). What is the remainder when 306\/8 + 8\/((-224)\/c) is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4*o - 24 = o, -5*t = -o - 10. Let f = 31.9 - -12.1. Let q = f - 43.5. Which is the closest to -1? (a) t (b) q (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - -1 - (0\/(-1))\/6. Let h(j) = -2*j**2 - j - 2. Let b be 39 + -43 - 28\/(-4). Let o(k) = -k + 1. Determine b*o(q) + w*h(q).\nAnswer: -2*q**2 - 4*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 2:44 PM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -5*j + 3*v - 3, -2*j - 5*v + 5 = 0. Let r(p) = j*p - 9 + 8 - 4*p. What are the prime factors of r(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1495*q - 1422 + 4279 - 1430 - 1427)*(2*q - 2*q + 2*q**3) to d*q**3 + n*q**4 + i*q**2 + j + w*q and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1492 + -1491. Which is the nearest to j? (a) -2\/9 (b) -3\/2 (c) 0.01 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1303 + -1328.26. Round w to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*j + 113*j - 3824 - 708 = -188*j for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -100*n - 883. What is u(-9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6431 - 378*c**2 + 6431)*(3 - 2*c - 3).\nAnswer: 756*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(3 + (sqrt(512) - sqrt(512)*2) + sqrt(512)) - 6*2*(sqrt(512) + (sqrt(512) + sqrt(512)*-3 - sqrt(512)))) + 1)**2.\nAnswer: -3840*sqrt(2) + 294937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114 + 66 = -6*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -476 + 470. Let n be 0 - (6\/10)\/(-1). Which is the fourth biggest value? (a) r (b) 2\/19 (c) -0.1 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*j - 26 = 0, -2*i + 36 = 4*j + 8. What is the greatest common divisor of 3 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 24 = k. Let d = -19 - k. Suppose -39 = u + s, 0*u + s - 225 = d*u. Let l(c) = 14*c**2 + 22. Let m(b) = 2*b**2 + 3. Give u*m(r) + 6*l(r).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -w**5\/5 + 14*w**2 - 14*w - 30. Let q(b) be the first derivative of y(b). What is the first derivative of q(l) wrt l?\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, v: 2, a: 8}. What is prob of picking 3 q?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**2 - v - 2*v + v + 2*v**2 - 2*v**2 + 2*v**2 - 5 - 2*v**2 + 5 + (3*v - 2*v - 3*v)*(v - 2 + 2) + 0*v**2 + 2*v**2 + 5*v**2.\nAnswer: 7*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -151456 + 151454. Let j(z) = -z**3 - z + 5. Let s be j(0). Sort -10, s, v, 0 in decreasing order.\nAnswer: s, 0, v, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-1 - -2) + 34955\/(-7))*(-350)\/100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1518 divided by 11\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 414 = -5*l + 3*l, -4*l + 5*t + 837 = 0. Suppose -5*k + l - 13 = 0. Calculate the highest common divisor of k and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.2, 5, -3\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.01 (b) -58077 (c) -4 (d) 4 (e) 0.4 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 67256\/(-6) + 16\/(-24). Let m = 33118\/3 + s. Let p = m + 169. Is p greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5\/6 (b) -35132 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 228*x**3 - 137*x**2.\nAnswer: 1368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*s + 2878*s = -795*s + 315040 for s.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 87179619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 - 0.8. Let o(n) = 2*n - 9. Let s be o(-7). Let y = s + 163\/7. Which is the second biggest value? (a) y (b) -2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 158, -5\/3, 1, -4, -5, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -8. Suppose 3*f = 4*i - 12, -i = 3*f + 3*i - 12. Suppose f*w - 27 = -j*w. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 690\/(-4)*(19\/(-5) + 3). Suppose 5*w = 337 + x. What is the greatest common factor of w and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -462216, -1848873, -4159968, -7395501, -11555472, -16639881, -22648728?\nAnswer: -29582013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 221 + 70*p**5 - 221 + (0*p**5 + 3*p**5 - 2*p**5)*(3 - 3 + 5).\nAnswer: 75*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/226380 and 1\/660275.\nAnswer: 7923300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/9 + 320*i + 115200.\nAnswer: 2*(i + 720)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 489\/1467*3\/(-5).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 487, 975, 1463, 1951?\n\"Answer: 488*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.082 + -0.318. Sort v, -0.4, -1\/3 in decreasing order.\nAnswer: -1\/3, -0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 249092?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + b = 2912, -5*t - 15*b + 4856 = -12*b. Is t a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -19, -6, -3, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2. Let i be (3 + -2)\/((-3)\/(-18)). Let p(z) = -2*z**2 - 6 + i. Give p(u(j)).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -247241 or -247240?\nAnswer: -247240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 - m**2 - 3*m + 1 + 2*m + 0*m**2 + 58*m**3. Let c be h(1). Suppose -5*p + 3*v + 30 + c = 0, 2*v = 4. List the prime factors of p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2*g - 20. Calculate the remainder when -2 - g\/(5\/(-44)) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -9*o**7\/70 + 3*o**6\/20 - o**5\/20 + 2*o**2 - 1. Let i(j) be the second derivative of u(j). Determine y so that i(y) = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -64, -94, -120, -142, -160?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((756\/96)\/63).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c**2 - 26*c - 12. Let k be n(-7). Suppose 2*u + 0*q - k = -5*q, -3*q + 39 = 4*u. Is (u\/(-6))\/((-25625)\/(-6410) + -4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39 - 4*l + 39 + (l - 5*l + 3*l)*(-4 - 2 - 1) to i*l + h and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 9, n: 4, s: 6}. What is prob of picking 1 s and 1 n?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -9101*r**3 - 3*r**2 + 19*r + 21. Does 91 divide n(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 - (3 + -13 + 10 + -13)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -18, -10, 22, 90, 206, 382, 630, 962?\n\"Answer: 2*u**3 - 6*u - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 608580982 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-11600)*10)\/(3*(-6)\/180)?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 9 = -j + 5*c, -3*j - c + 39 = 0. Suppose j*u = -389 + 425. What is the third biggest value in 73\/3, 0.3, u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 8*l**2 + 4. Suppose 0 = 4*v - 2*v + 5*g - 7, 2*g - 38 = -3*v. Suppose -16 - v = -4*n. Determine z(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 2:05 AM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*l + 2 = 0, -3*c + l - 7 = 27. Let h = 62 + -46. Let f = c + h. Does 4 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.672 rounded to one decimal place?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250893527.\nAnswer: 250893527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -59702 (base 10) to base 13.\nAnswer: -21236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1142129457?\nAnswer: 3, 7, 73, 82781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + 10*d + 60. Let k be (-22)\/((40\/d)\/4). Suppose -5*y + t = 26 - 77, t - 4 = 0. Calculate the greatest common factor of y and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + -23. Let d = 0.009 + 43.991. Let g = f + d. Is g less than or equal to 3\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2362 (base 8) in base 14?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 14 + 52 = 0 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 1:25 PM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 1. Let i(n) = n - 4 - 4 + 2 - 2*n. Suppose -5*w - 35 = 0, 1246*w = 3*m + 1248*w - 19. Determine m*z(x) + 2*i(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -224122 (base 7) to base 5\nAnswer: -2233403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -2*w + 40 - 22, 12*a - 6*w = -66 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 53615 or 53611?\nAnswer: 53615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4 = -0. Suppose -l*b = -14 + 2. Let j(u) = 5*u - 4. Let y be j(b). What is y rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wrg when three letters picked without replacement from ggwwwgwrw.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10031302 (base 4) in base 9?\nAnswer: -25614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 28892, 28889, 28884, 28877, 28868, 28857, 28844?\n\"Answer: -j**2 + 28893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -5*s**2 - 6*s - 10. Let p(w) = w**2 + w + 2. Let y(q) = -2*k(q) - 11*p(q). Suppose 196*v = 197*v - 2. Calculate y(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3890 or -3892?\nAnswer: -3890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.2778 + -4.2778. What is the closest to -0.1 in 0.4, 8\/3, 5, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2*23)\/(-14 - -12). Let q = o + 41. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2246 (base 10) in base 6?\nAnswer: 14222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33.4 - 33.49. Round h to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 36\/(-84)*(4 - 11). Solve -16*a - y = -18*a + 13, -b*a - 2*y = -9 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*y**3 - 10*y**2 + 35*y - 2 wrt y?\nAnswer: 18*y - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and -5 - -5 - (-4)\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2529213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/55 and -68\/60687.\nAnswer: 303435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3104 and 1746.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 - 166194*j + 114055755.\nAnswer: 3*(j - 54703)*(j - 695)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83200 by -20.\nAnswer: 4160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**3 + 3*l**2 - 3*l**2 + (-4 + 1 + 1)*(2*l**3 + l - l) - 14*l**3 - 38*l**3 - 14*l**3 - 2*l - l**3 + 2*l + (-2*l**2 + l**2 - l**2)*(4 - 4 - l).\nAnswer: -70*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 50277285?\nAnswer: 50277285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7\/27732 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffffhffffffff. What is prob of picking 2 f?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - 3.3. Is -3 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 197*k**2 - 86*k - 101*k**2 + 225*k**2 + 202 + 83*k wrt k.\nAnswer: 642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 119729\nAnswer: -119728.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 26898, 107568, 242018, 430248, 672258?\n\"Answer: 26890*j**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 237.0137 - 0.0137. Let h = 190.7 - l. What is h rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 7*o**2 + 22*o - 98. Let n be g(5). Calculate the highest common divisor of 1054 and n.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -36. Calculate the remainder when 53 is divided by u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 5*i**2 - 7*i + 9. Let v be w(6). Suppose 3*q - v*g + 0*g = 48, 2*g = 4. What is the smallest common multiple of 8 and q?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2240 - -11920. Is c a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1963 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 4*l**2 + 167*l + 590. Calculate r(13).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-352)\/24)\/(-22)*(-3)\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.736422*-0.7.\nAnswer: -1.2154954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 3)*(-2*v + 0*v - v) + (-2 - 1 + 1)*(-5*v - v + v).\nAnswer: 22*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 12 = -10*a. Suppose 0 = -2*n + a*n - 8. Factor -n + 4*r**2 + 4*r + 10 - 8*r - 6*r**2.\nAnswer: -2*(r - 1)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -3\/5, 2\/3, 1, -9?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) + -4*(sqrt(110) + 2*sqrt(110)))\/(sqrt(120)\/(sqrt(60)\/sqrt(5))) + 0)**2.\nAnswer: 1331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9399 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q - 6*q = 4*h + 10, 86*h + 28 = 82*h + 4*q for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 5:11 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/2)\/((-9)\/24). Let w be (2 - 0) + 1 + 12. Let i = -13 + w. What is the second smallest value in -4, k, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c - 2. Let g be v(-5). Suppose 16 + 2180 = 183*n. Solve 5*z + n = -g for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 26 - 59 + 86 + 3*q**2 as o*q + d*q**2 + f and give f.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-1*sqrt(170)*1 + 3*-4*sqrt(170))\/(-1*sqrt(1000) - sqrt(1000) - sqrt(1000) - sqrt(1470)\/sqrt(3)))**2.\nAnswer: 9718\/1369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 102176 a multiple of 206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -334638\/11 + 30453. Which is bigger: 31 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**2 + 5*l + 6. Let i be (15\/(-6))\/(2\/(-216)*15). Suppose -556*m + 553*m = i. Let f(g) = -4*g**2 + 6*g + 7. What is m*f(w) + 7*s(w)?\nAnswer: 3*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 3. Suppose -8*o + 3*o + 20 = f. Do 4 and o have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 15*f**2 - f + 1. Is c(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/16)\/((-4)\/16).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 + 25. What is the highest common divisor of a and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1627, -1631, -1635, -1639, -1643?\n\"Answer: -4*c - 1623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 106*v**2 + 8*v + 10. Let r be y(-10). What is r rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 228 + -227. Let x be 3\/(-6) - (-39)\/18. Which is the second biggest value? (a) 0 (b) t (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 8*n**2 + 11*n - 4. Let f be o(-6). Factor 3*s + f*s - 4*s - s**2 + 4*s.\nAnswer: -s*(s - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**3 + 7893*j**2 - 143606*j wrt j.\nAnswer: 12*j + 15786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/15 + 261\/15 + -9. Suppose 0 = -t*m - 115 + 538. What is the remainder when 132 is divided by m?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 18643 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-540)\/(-6)*(12\/(-30) + 0). Is -37 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*y**2 + y**2 + 33*y**3 + 469*y - 469*y wrt y.\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-four fifths of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151 - 49 = 5*r. Let v be 6\/27 + r\/18. Sort 2, -4, v in descending order.\nAnswer: 2, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (268104 + (-126)\/(-9))*(-1)\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 43, 106, 223, 412, 691?\nAnswer: 1078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 246 - 487\/2. Which is the nearest to -2? (a) 6 (b) 1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 28*z**2 - 298*z + 90. What is b(8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llc when three letters picked without replacement from {c: 3, l: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 30788 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2848 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2052 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5974056 * -18.7\nAnswer: 111714847.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(2100) + (sqrt(2100) + sqrt(2100)*1)*-1 - sqrt(2100)))\/((sqrt(48) + sqrt(48) + -2*sqrt(96)\/sqrt(2) + sqrt(48))*2).\nAnswer: 15*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-2)*-8)\/(-2). Let a be 0 - (-2 + h)\/2. Suppose -6*k + 2*k + 136 = 4*d, a*k + 118 = 4*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**4\/8 - 81*x**3\/4 + 153*x**2\/8 + 159*x\/4.\nAnswer: 3*x*(x - 53)*(x - 2)*(x + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*t = -56*t + 36 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/(-513))\/(-4)*(-33)\/(-22)\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -218332, -218969, -219606, -220243?\n\"Answer: -637*c - 217695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2313 - 5286 + 1480 - 5*l**2 + 1493.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -0.1, 53120?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 593076839?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 48\/3823?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 11*l - 62. Let o(c) = 9*c - 69. Determine -4*o(v) + 5*y(v).\nAnswer: 19*v - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2676, 2677, 2678, 2679, 2680?\n\"Answer: d + 2675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*k + 187 = 125*k + 1515 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 - 13. Suppose -3*z = -23 + 5. Suppose -5*k - 3*p = -61, -z + 57 = 3*k - 3*p. What is the lowest common multiple of i and k?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5*sqrt(288)*2 + (sqrt(288) - (1 + sqrt(288) + 2)))**2 + 1*sqrt(288) + -5 + -5.\nAnswer: -708*sqrt(2) + 28795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -69*w**2 + w + 1. Let n be m(2). What is the tens digit of (n\/(-13))\/(0 - (-2)\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvuucuucuc. What is prob of picking 3 c and 1 v?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 378 and 13151348?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, p: 2, t: 2, d: 13}. What is prob of sequence tdtj?\nAnswer: 13\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 i when three letters picked without replacement from cvjojicjffjjffjji?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -c**4\/6 + c**3\/6 + 3*c**2\/2 - 53*c + 2. Let o(t) = 3*t**2 - t - 5. What is -3*o(v) - 5*r(v)?\nAnswer: v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 662373177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*j = 827, 0 = -9*x + 4*x - 2*j + 4069. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 3*f - 3. Let r(z) be the third derivative of -z**5\/5 + 17*z**4\/12 - 17*z**3\/3 + z**2 - 9*z. Determine 68*p(b) - 6*r(b).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -78560*y**3 - 90919*y**2 wrt y?\nAnswer: -471360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 142228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1083826203?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.046 * 62\nAnswer: 2.852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1460*q - 1452*q - 1144 = 0. Solve -q*j + 142*j + 1 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + 0 + 0)*(-28*g - 13*g - 19*g)*(0*g + 0*g - 2*g**3).\nAnswer: 360*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yqxrhrxsq. What is prob of sequence sxh?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -370 - -648. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31217362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(1\/28))\/q)\/q)**(-10)*q**(7\/10)\/q*q*q*q**(5\/2)\/q*q*q assuming q is positive.\nAnswer: q**(1089\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296381 is divided by 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 8*m**2 - 4*m - 10. Determine d(-8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*(y*y*y\/(y**8\/y)*y)\/y))\/(y**(2\/7)\/y*y)*y**(-8)*y**(-3\/8) assuming y is positive.\nAnswer: y**(-261\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1056563816 divided by 2.\nAnswer: 528281908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 8, v + g - 47 = 0. Let n = 111 - v. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9328643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109443*y**2 - 3438*y - 27 = 0 for y.\nAnswer: -3\/191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 - -31. Calculate the lowest common multiple of w and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -57862270762805*g**4\/4 + 57861556378295*g**3\/2 - 57859413233585*g**2\/4 - 357187845*g - 2205 = 0. What is g?\nAnswer: -42\/3401831, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 417*w - 10 = s + 412*w, -7*s - 8 = -4*w for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.1514 times 166\nAnswer: 25.1324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1963, -44 in ascending order.\nAnswer: -1963, -44, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v**2 + 11*v - v**3 + 12*v**2 - 17 - 19*v**2. Let n be y(-12). Let s(z) = -2*z + z + 2 - z. What is s(n)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(6*sqrt(170)\/(sqrt(10) + sqrt(40)\/sqrt(4)))**2*-6.\nAnswer: 918","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (-1)\/((-7125)\/(-13386)). Let q = j + -2\/125. Which is the biggest value? (a) q (b) 0 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - c = 3876192, 4*c - 1761526 = -4*w + 1339394. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, c: 3, v: 4, s: 6}. Give prob of sequence cy.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3182031.\nAnswer: 3, 67, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 + 16. Let b(y) = -y**3 - 8*y**2 - 10*y + 11. List the prime factors of b(f).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000860710094 rounded to 5 dps?\nAnswer: -0.00086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1078?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 11:10 PM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g. Let j(k) = 5523716*k**2. Determine f(j(p)).\nAnswer: 5523716*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 6 + 18*q - 1)*(8*q - 9 + 9).\nAnswer: 144*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/168)\/(1\/6).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 14, 5, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57 + -386. Let r = x - -443. Is r bigger than 1.12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-4)\/(d\/((((d*d**(2\/105)*d)\/d)\/d)\/d)*d) assuming d is positive.\nAnswer: d**(-733\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(3 + -3 + -5). What is the closest to -2 in f, -4, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 398, 0, -849, -3, 1, 4 in ascending order.\nAnswer: -849, -3, 0, 1, 3, 4, 398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pkzkqkktt. Give prob of picking 1 z, 1 k, and 1 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -4758841*u. Let r(o) = 3*o. Calculate w(r(v)).\nAnswer: -14276523*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*v - 7, 0*v = g + 5*v - 11. Let l = 5 + g. Let c(y) = 3*y**2 + 107*y - 1044. Let m be c(8). Sort m, 35, l in ascending order.\nAnswer: l, m, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1389, 10975, 37001, 87687, 171253, 295919?\n\"Answer: 1370*d**3 - 4*d + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 21638, 21565, 21492, 21419, 21346, 21273?\n\"Answer: -73*x + 21711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -59 + 67. Suppose f*q - 5*z - 288 = 4*q, 0 = 4*q + 2*z - 288. Calculate the greatest common divisor of q and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4983841039 and 6473.\nAnswer: 6473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r + 7*r + r**3 - 16 - 17*r**2 - 2*r**3 + 8*r. Let w be t(-18). Solve 5*j = w*n - 25, 40 - 15 = -5*j for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a7 (base 14) in base 5?\nAnswer: 1042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(5\/3)\/u*u*u**(1\/5)*u)\/(u**(-1))**(-1\/6) assuming u is positive.\nAnswer: u**(37\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**2 - 62*t - 29. What are the prime factors of w(-23)?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 - 33 = 84*b + 41 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 398 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6817.98ml?\nAnswer: 6.81798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, e: 2, a: 6, h: 2, x: 1}. What is prob of sequence aea?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -16337905 less than -2.3081?\nAnswer: 16337902.6919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -a**6\/360 - a**5\/120 + a**4\/24 + 11*a**3\/6 + 9*a**2. Let o(d) be the first derivative of w(d). What is o(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*-4)\/sqrt(9) + sqrt(1331) + -3 + sqrt(1331).\nAnswer: -3 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 824796?\nAnswer: 2, 3, 7, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 times -502181\nAnswer: -10043.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, p: 2, a: 7, c: 1}. Give prob of picking 1 a and 1 x.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -32\/3. Which is the biggest value? (a) h (b) 2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38691792 divided by -16\nAnswer: 2418237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*w**3 - 280*w - w**2 - w**2 + 3 + 277*w - 1 to the form g*w + n + o*w**3 + l*w**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 244251.2423 rounded to the nearest 10?\nAnswer: 244250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (98*g**3 + 7 - 7)*(-3 - 2*g + 3).\nAnswer: -196*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 560 - 482. Suppose -5*g + 200 = c + w, -4*c = -2*g + 40. Is g even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16239772 a multiple of 1493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1289*d*i**3*m + 2*d*i**2 - 1991*d*i*m**3 - 11*i**3*m**3 + 9*i**2*m**3 wrt i.\nAnswer: -7734*d*m - 66*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3057706 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.006 + 0.634. Let l = n + -0.447. Round l to two decimal places.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(1134)*1)\/((sqrt(504)*6)\/sqrt(8)))**2.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 609*11\/((-3003)\/(-26))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2063 is divided by 173?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -14, 6\/11, 1.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 5*s**2 + 6*s + 8. Let x(g) = -g**2 - g - 1. Let k = 771 + -772. What is k*f(a) - 6*x(a)?\nAnswer: a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3\/8 - 18423*y**2 + 1810022895*y\/8 + 1810317675\/4.\nAnswer: 3*(y - 24565)**2*(y + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 12:57 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jrurkj. What is prob of sequence ku?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 11 + 0*a**5 + 4\/3*a**6 + 0*a**2 + 0*a**4 - 19\/3*a**3 + 0*a. Find the third derivative of j(r) wrt r.\nAnswer: 480*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 622109?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/4 + 4\/(-8) + 1. Suppose a = -a + n*c + 4, -5*a + 55 = 4*c. Solve -z - a = -8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-5*5\/25)\/(-1)*(-2 + 2186) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 22276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6204.478 litres?\nAnswer: 6204478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1451508 divided by 1451508.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 392 + -216. Let s be (-12)\/8*h\/(-3)*1. Suppose -4*v - 60 = -z - 429, v - s = -4*z. What are the prime factors of v?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -11976 and -4850578\/405 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1046255?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14233037*g**2 + 239*g - 42103 wrt g?\nAnswer: 28466074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2671 + 20?\nAnswer: -2651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -6*a + 187. Let o(z) = -2*z + 93. Determine -2*k(l) + 5*o(l).\nAnswer: 2*l + 91","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 + -74. Let a = 47 + j. Let i(c) = -20*c**3 - 12*c**2 - 12. Let m(y) = -8*y**3 - 5*y**2 - 5. What is a*i(b) - 12*m(b)?\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35172 and 196377.\nAnswer: 2356524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 88*n. Let o(b) = -2933*b**2 - b - 2. What is z(o(y))?\nAnswer: -258104*y**2 - 88*y - 176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13595.\nAnswer: 5, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tayyqtzyttttttqytq. Give prob of sequence za.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7\/62 + 557\/558. Put -8, -4\/7, a, -2 in increasing order.\nAnswer: -8, -2, -4\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -75*h - 2. What is the remainder when n(-1) is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.4 - 5.5. What is the third biggest value in -0.5, q, 1, 0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -8. Let n = -357 + 357.3. What is the closest to 0.1 in w, -0.04, n?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 7. Let l = 0.27 - 0.2. Let r = -0.17 + l. What is the nearest to 0 in -2\/21, f, r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-2)*(-104)\/(-260). Let r(d) be the first derivative of 0*d**2 + 2 + z*d**3 - 12\/5*d. Factor r(t).\nAnswer: 3*(t - 2)*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141454997.\nAnswer: 141454997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15073072327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 192 - 189. What is the smallest value in q, -0.1, -1\/7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57 (base 9) to base 15.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 10:25 PM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -53*v**3 - 96*v**2 + 183*v - 7. Calculate d(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 2 - (5 + -11)) + -11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1044297195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p**2 + 3*p**2 - 7*p**2. Let c = -8 - -14. Let t(z) = -c*z + 8 - 5 - 3. Determine t(r(u)).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*l**2 + 23*l**2 + 3*l**2)*((-4*l - l - 3*l)*(-1 + 4 - 4) - 4 - 2*l + 4).\nAnswer: 114*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 212 = -2*y, -5*y + 43*i - 1299 = -4*y + 1073 - 567 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 3*z - 10. Let t be y(-7). Let l = t + 0. Calculate the greatest common factor of l and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*f + 36*f + 3*f - 6*f.\nAnswer: 80*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 55*l**2 - 758*l - 3901. Give p(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 != -211\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -6*p**3 - p + 1. Let n be i(1). Let j(d) be the second derivative of -d**3\/6 - 27204*d. Calculate j(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 4715001.\nAnswer: -2\/4715001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10526 or 10532?\nAnswer: 10526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, 5\/6, -7, -5, 2\/13, -2 in decreasing order.\nAnswer: 5\/6, 2\/13, -2, -5, -7, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*k - 16*k + 30*k + 26*k - 57*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b + 16 = -8*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a day in hours?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8760934, -4, 3 in ascending order.\nAnswer: -8760934, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6.399 or 7?\nAnswer: -6.399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 789 + 1577 = -14*s. What is s rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -3*k + 127, 2*m - 16 = -k + 34. Let w(q) = 2*q**2 + 32*q - 26. Let p be w(-21). Calculate the highest common factor of m and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 6 = 0, 3*w + 3*h = 7*w - 1478. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/94 in -124, 1, 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 984 = 9*v. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 21*(1 + (-6)\/9). Suppose -n*w + 698 = -30. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -18696, -19920, -21144?\n\"Answer: -1224*h - 17472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 5*s**2 - 3*s. What is p(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2. Let a(l) = -3*l**2 + 12*l. Let b(k) = -a(k) - 4*j(k). Find the second derivative of b(c) wrt c.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7998069 hours to minutes.\nAnswer: 47.988414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*l**3 + 83*l**2 - 8683*l wrt l?\nAnswer: -150*l + 166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1*v)**18)**6 assuming v is positive.\nAnswer: v**216","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -33*p**2 - 11*p - 77. Let v(d) = -2*d**2 - d - 6. Calculate l(g) - 11*v(g).\nAnswer: -11*g**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67 + 113. Does 23 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -23. Sort -8, 2, -3, j in decreasing order.\nAnswer: 2, j, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5*k**3 + 7*k**2 - 7*k + 13. Let v be (-3 - -8) + 0 + 6\/(-3). Let h(y) = -2*y**3 - 3*y**2 + 3*y - 6. What is v*u(z) + 7*h(z)?\nAnswer: z**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10035247 to the power of 1\/2, to the nearest integer?\nAnswer: 3168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 213545715 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 7*u**3 - 3. Let a(b) = -4*b**3 + 1. Let i = 8 + -3. Suppose 0*k + 25 = i*k. Let n(f) = k*a(f) + 2*q(f). What is the first derivative of n(x) wrt x?\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -184801863 divided by 61600621\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 j when two letters picked without replacement from aaaaffajjafafc?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 7*u - 12. Determine x(-11).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46318839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 3 + (0 - 1) - (10 + -20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 less than 60?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216923 = -12*l - 137*w + 142*w, -4*l + 72306 = -2*w. What are the prime factors of l?\nAnswer: 101, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 s when two letters picked without replacement from {s: 1, y: 2, x: 1, q: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/6*(-4 - -1). Let o = -9.684 + 9.884. What is the second biggest value in o, -16, 2, n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7*7\/(-98)*-1)\/(713\/(-62))?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 46233 times 2\nAnswer: 92466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**5\/5 - 34*c**4\/5 + 192*c**3\/5 - 72*c**2 = 0 for c.\nAnswer: 0, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35.7 - -36. Let d = 2.9 + -3. What is the second smallest value in 2, l, d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4*l**2 - 26*l - 4. Let x be j(-6). Let k = 3 + x. What is the remainder when 283 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22286960 and 305.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 42 = -5*b, 6423*t - 68 = -4*b + 6416*t for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2119*o - 16580. Give g(-7).\nAnswer: -1747","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/48 and -125\/564.\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, v: 3, t: 2, z: 8, g: 2}. What is prob of picking 1 t and 1 z?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/14 + 1248\/14. What is the common denominator of ((-4)\/(64\/(-90)))\/((-30)\/(-50)) and n\/(-10)*(-2)\/(-2 + 6)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 q, and 1 j when four letters picked without replacement from {v: 1, p: 4, j: 4, q: 2}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 185276195 a multiple of 445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*r - 460. Let o = r - 52. Does 4 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 18 = -c - r, 4*c - 5*r - 26 = 0. Suppose 0 = c*i + 463 - 183. Let h = i + 98. Is 14 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -56, -175, -402, -773, -1324?\nAnswer: -2091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1130 is divided by 547?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -40338.438 + 5\nAnswer: -40333.438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -6*b**2 - 8*b. Let v(j) = 9*j**2 + 4*j + 4. Let x(q) = 25*q**2 + 11*q + 11. Let r(i) = 11*v(i) - 4*x(i). Determine r(t(p)).\nAnswer: -36*p**4 - 96*p**3 - 64*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**7\/945 - l**6\/540 + l**5\/270 + l**4\/108 + 11*l**2. Factor m(d).\nAnswer: -2*d*(d - 1)*(d + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-125)\/(-50)*1014\/(-65).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -61, -1\/6 in descending order.\nAnswer: 5, -1\/6, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3486 and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q\/(q**(14\/13)*q))*(q\/q**(-38))\/q*q assuming q is positive.\nAnswer: q**(534\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1650 is divided by 1648.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 8*p - 9. Let f be g(0). Let v(j) = j**3 + 7*j**2 - 40*j + 9. Let y be v(f). What is the greatest common divisor of 9 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 3*y**2 + 2*y - 4. Let c be z(-4). Suppose 3*l + l - 16 = 0. Let g = 66619 + -66607. Solve g = -c*m - l for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11022.\nAnswer: 2, 3, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2979*g + 206127 + 5382 for g.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10762.1 rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*h + 4*p, 0 = 4*h - 74*p + 78*p - 20 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -l - s, -3*l - 32*s + 7 = -31*s. Solve 2*n = -n + l*q + 3, 0 = 2*q + 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.12 equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**1)\/v)\/v)\/v*v**(3\/10) assuming v is positive.\nAnswer: v**(-7\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 166 = -2*v - 2*m, -4*v - 3*m = -332. Let k = -39 + v. Let h = 74 - k. What is the greatest common divisor of h and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -96515, -18, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 2153 + 2218 = 0 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -82 + 84. Let t be ((-1)\/g)\/(1\/(-16)). Suppose t = p + 3*p. What is the greatest common divisor of 14 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 7) to base 4\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -172*j - 23180. What is m(-134)?\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68982753 is divided by 1180.\nAnswer: 1133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -c**5\/4 - 87*c**4\/4 - 1822*c**3\/3 - 2036*c. Find the second derivative of v(i) wrt i.\nAnswer: -30*i - 522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.58656 rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65 and 351?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000010111 - -1000?\nAnswer: -100000001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*s + 5*s. Let r be (2192\/(-24))\/(2\/s). Suppose p + 534 = 2*u - r, 5*p - 4*u + 5404 = 0. What is p rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 3:21 AM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 68 - 65. What is the closest to 1 in p, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 - 3)*(-1 + 3 + 0)*(-2*a + 2*a + 2*a**3) to y*a**2 + h*a**3 + z + w*a and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) 1\/2 (b) 4665 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, 3, -7, -279\/5, 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (165*n - 13 - 26 + 48)*(-1 - 5*n**2 + 1) to the form g*n**3 + r*n**2 + x*n + v and give r.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 9, i: 7}. What is prob of picking 2 z and 1 i?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(6*(sqrt(112) - -1*sqrt(112))\/sqrt(4))\/(-4*sqrt(256)).\nAnswer: 9*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 53156 plus 2004?\nAnswer: 55160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55 or 19\/59682?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-730)*20\/6*184\/460.\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 860 is divided by 269.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -2*s + 3 - 573, 15 = 5*s. Calculate the remainder when 548 is divided by l.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -200*m + 201*m - 660793. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -7. Suppose o*n + 38 + 49 = 0. Let z = -19 - n. Solve 5*c - z = 2*c + 2*q, -25 = -5*c - 5*q for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/95? (a) -4 (b) 1\/6 (c) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(5\/6) + 0 + 3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -7*l - 2. Calculate y(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -w**5\/30 - 141*w**4\/2 - 59643*w**3 - 2323*w**2. Determine g so that d(g) = 0.\nAnswer: -423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*n**3 + 0*n**2 - 2*n**2 - 13*n + 3*n**2 + 5*n.\nAnswer: 22*n**3 + n**2 - 8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00804358 to 4 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(50)\/(sqrt(10)*2).\nAnswer: -3 + sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 937471*s**2. Let f(l) = 40*l. Give z(f(q)).\nAnswer: 1499953600*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*h + 41*h = -11. Which is greater: 85\/7 or h?\nAnswer: 85\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21966*s - 43742*s + 21773*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*o**3*v**3 + 10*o**3*v**2 - o**3*v - 4*o**2*v**3 - 3*o*v**3 + 25*o*v**2 wrt o?\nAnswer: 60*v**3 + 60*v**2 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 275869 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 321321301032 (base 4) in base 3?\nAnswer: 1001120011102220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1662 - 96*j**4 - 10*j - 220008*j**3 + 220008*j**3 with respect to j.\nAnswer: -384*j**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.1 - -2. Let l = 1.41523 - 6.41523. Sort f, 4, l, 0.2.\nAnswer: l, f, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/4)\/((-4)\/146). Let y = -55 - c. What is the closest to y in 3, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1691 - 1431 - 4*d**3 + 5990 - 1437 - 1431.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3269932, -3269936, -3269940, -3269944, -3269948?\n\"Answer: -4*d - 3269928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19)\/228)\/((-6)\/16 - 0).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4*n - 22. Let j(r) = 2*r. Let w(h) = -5*h + 46. Let t(o) = 2*j(o) - w(o). Let g be t(6). Let d(x) = 6*x - 34. Let k(c) = g*z(c) - 5*d(c). Give k(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5569*b**4 - 2*b**3 + 17974*b.\nAnswer: -66828*b**2 - 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-18)\/12)\/((-3)\/4). Suppose 7*p + 4*q - 32 = 3*p, -1 = p - l*q. Solve p*d - 12 = 2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 + 6550 - 3)*(-18)\/(1656\/(-161))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*k - 2*k - 4*x, -x - 3 = k. Let o = 261 + -259. Put k, -4, 5, o in ascending order.\nAnswer: -4, k, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -542 + 789. Let p = t - 247. Solve -4*z - 3*v = v + 32, 4*z + 2*v + 24 = p for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k + 11. Let h be m(-8). Let s = h + -1. Let q(n) = -n**2 - 6*n + 7. What is the remainder when 13 is divided by q(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46307 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 15, 33\/29, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + -3 + ((-1 + sqrt(272))**2 - sqrt(272)))*-3*3.\nAnswer: -2430 + 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -b**4\/12 + 10811*b**2. Let r(x) = 3*x**2 - 4*x + 29. Give r(l(z)).\nAnswer: 12*z**2 + 8*z + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 672 = -2*a + 676 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.94 - -9. Let o = 0.04 + p. Let q = 0.4 - o. Which is the nearest to 0? (a) q (b) 1\/3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 527056 (base 9) in base 13?\nAnswer: ac920","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2830, -2831, -2840, -2863, -2906?\n\"Answer: -f**3 + 2*f**2 - 2831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -134*s**6 - 103*s**5 - 14*s**3 + 65*s**2 + 183*s + 3.\nAnswer: -16080*s**3 - 6180*s**2 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 25*f**2 + 84*f - 351. Determine r(-20).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*i + 3278 + 2446, 3*i - 5724 = s. List the prime factors of i.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, e: 2, g: 1, i: 1}. Give prob of picking 2 s and 1 i.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 6*w - 21. Let q(h) = -h + 3. Let u(s) = -4*i(s) - 27*q(s). Let y(x) = -1. Let c(b) = -b + 5. Let o(k) = -c(k) - 6*y(k). Determine -7*o(t) + 2*u(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7383267 is divided by 1845786?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 68 + -58. What is the least common multiple of 4 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*y + 15*y = -188. Solve y*b = -4*d - 16, 0*b - 27 = 5*b - 2*d for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/260 and 125\/6.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.2 - 11. Let a(d) be the second derivative of d**3\/6 + 13*d**2\/2 - 5*d. Let c be a(-10). Are c and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g**2 + 51*g + 29. Determine y(20).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}