diff --git "a/data/dm_maths/full_data_1/11108_11255.jsonl" "b/data/dm_maths/full_data_1/11108_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/11108_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: In base 16, what is 1a39b4 + 2?\nAnswer: 1a39b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -26. Let c = a - -14. Suppose -r - 16 = -2*v + 2*r, -c*v - 3*r + 61 = 0. What is the remainder when 29 is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((6\/(-8))\/(-1))\/(261\/73190316) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -d**3*l**2 + 21*d**3 - d**2*l**2 - 21*d**2 - 845*l**2 wrt l?\nAnswer: -2*d**3*l - 2*d**2*l - 1690*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4002 and 138?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 1:36 AM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 8. Suppose -2*b = -3*s - 28, -2*s + 2 = -v*b + 24. Let o(a) = a**2 + 2*a - 6. Let p be o(s). Calculate the highest common factor of p and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -91*c + 19. Let h(d) = 30*d - 7. Determine -8*h(l) - 3*o(l).\nAnswer: 33*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 1:15 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h - 3*h**2 + h**2 - h to the form k + u*h + b*h**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 2 - -4) + 2. Suppose -l = 2*n + 6, 3 + 11 = l - 3*n. Let q(v) = v + v**2 - 2 - 2*v - l*v. Determine q(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 48 = 4*t, 2*d + 2*t = 37 + 3. Solve 14*m - 10*m = d for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72.9 + 0.9. Let s = 112714 + -112711. What is the fourth biggest value in s, c, -2, 1\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6027194m in micrometers?\nAnswer: 602719.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1061*c**4 + 92197*c**3 + 1357*c**2 + c - 66465 wrt c.\nAnswer: 25464*c + 553182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -13*c**3 - 10*c**2 + 56*c + 14. Let m(q) = -4*q**3 - 3*q**2 + 19*q + 4. Determine -7*m(b) + 2*p(b).\nAnswer: 2*b**3 + b**2 - 21*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.25219l in millilitres?\nAnswer: 33252.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3601 - 0.3607085. Round s to five decimal places.\nAnswer: -0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u + 2*u + u)*(-6*u**3 - 325*u + 82*u**2 - 78*u**2 + 328*u).\nAnswer: 12*u**4 - 8*u**3 - 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -284, -291, -312, -353, -420, -519, -656, -837?\nAnswer: -1068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qh when two letters picked without replacement from {u: 5, h: 2, q: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b - 5. Let p(a) = a - 6. Let u(j) = 7*h(j) - 6*p(j). Let z(v) be the second derivative of -5\/2*v**2 + 0 + 2*v - 2\/3*v**3. What is 6*u(k) + z(k)?\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzphjqv. What is prob of picking 2 p?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2*u + 34 = 0, 4*u + 15 = 2*v - 21. Find the first derivative of 14 - 5*c**2 - 28 + v wrt c.\nAnswer: -10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188875 times -0.11?\nAnswer: -20776.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 - 31. Let v be (0 - 0)*h\/6. Sort -2, 3, v.\nAnswer: -2, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 1\/4, 3, 0.022, -184, 1 in decreasing order.\nAnswer: 3, 1, 1\/4, 0.022, -4\/7, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -11. Let y = -5 + d. Calculate the lowest common multiple of y and (-12)\/42 + (-130)\/(-14).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 302*k**2 - 6 + 1954*k**2.\nAnswer: 1652*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2631035 to the power of 1\/2, to the nearest integer?\nAnswer: 1622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 62514, 62537, 62608, 62751, 62990, 63349?\n\"Answer: 4*v**3 - 5*v + 62515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 5\/4, -0.1, -1, -4\/3 in increasing order.\nAnswer: -4\/3, -1, -1\/3, -0.1, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -8*h + 5*h. Suppose -53 = -5*j - 4*d, -2*j = j - h*d - 54. Solve 2 = -14*q + j*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 128 and 332.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1616 + 1613. Let m = -3 + 2.8. Which is the closest to m? (a) s (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009692567 to six decimal places.\nAnswer: 0.000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 559083681?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 328 - 185. Let h = t + -69. What are the prime factors of h?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 295174 and 2467.80987.\nAnswer: 297641.80987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 26\/5 of a tonne?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56225, 56236, 56255, 56282, 56317, 56360?\nAnswer: 56411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -220 + 231. Let p = 17 + -4. Suppose 140 = -g*l + p*l. List the prime factors of l.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 1357?\nAnswer: 1355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -14.973 times 5\nAnswer: -74.865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -331\/60 - -28\/5. What is the smallest value in 1, s, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-52600)\/3156)\/((12\/(-16))\/(27\/24)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-5724)\/(-1749))\/((-6)\/44)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2178 - 2178 - 109740*w**2.\nAnswer: -109740*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 729404.3 days to microseconds.\nAnswer: 63020531520000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of 0*z**3 - 5*z**2 + 0 + 0*z - 1\/24*z**4. Let u(k) = -k**2. Determine u(g(x)).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49097928.\nAnswer: 2, 3, 11, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/(-6)*830\/(-2075) - (-140)\/(-165)?\nAnswer: -46\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110\/(-165)*(-6)\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = -5*m + 2329*q - 2325*q + 24, 6*m = 3*q - 67 + 22 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -794 and -0.2.\nAnswer: 158.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -9. Let v = 15 - o. Let u = 5.7 - v. Which is the smallest value? (a) -2\/13 (b) u (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*s - 29*s = -17. Solve 4*k - 13 + 38 = -5*h, -3*k - s = 2*h for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1708.\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (3 + 5 + -7 - -6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12851953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 2:07 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**3 + 6855*q**2 + 13730*q = 0. What is q?\nAnswer: -2, 0, 1373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 7:46 PM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z - 7. Let c(y) = -6*y + 13 - 18 + 8 + 8*y - 3*y. Determine -5*c(v) - 3*u(v).\nAnswer: 2*v + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 85184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 38*t - 114. Calculate w(41).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 9:38 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 4*d - d + 70, -66 = -v - 3*d. Suppose 5*b + 2*m - v = 0, 5*m - 46 = -5*b + 14. What is the greatest common factor of 192 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 112 + -96. Suppose 2*s + 3*q - 112 = -2*s, d = 4*q. Calculate the remainder when 27 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -8*b + 2*b - b**3 - 6*b**2 + 13*b**2 + 3. Let v be -8*-6*(-2)\/(-16). What is the units digit of c(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5\/3*(689 + -56)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - -299. What are the prime factors of n?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 484 - 249. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -5 + 2*g - 2*g + 2*g - 9. Let x be n(25). Suppose -62 = -9*o + 4*o + q, -4*o + 2*q = -52. Calculate the highest common factor of o and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b. Let h(x) be the third derivative of -19*x**6\/720 - 25*x**4\/6 + 3*x**2 + 4*x. Let j(g) be the second derivative of h(g). Calculate p(j(s)).\nAnswer: -38*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of 161*p**5\/20 + 7*p**2 + 85*p. What is the derivative of z(v) wrt v?\nAnswer: 483*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000010100100010 - 100?\nAnswer: -1000010100100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -146 or -1596\/11?\nAnswer: -1596\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.961 + 0.039. Is -421\/4 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 17. Let x(l) = -3*l**2 + 8*l + 12. Let n(w) = 2*w**2 - 8*w - 11. Let j(v) = 4*n(v) + 3*x(v). What is the lowest common multiple of j(i) and 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/3))**(1\/22)\/(d*(d*d\/(d*d**(-2\/11)*d*d))\/d*d*d\/(d*(((d\/(d\/((d**(-11)\/d)\/d)))\/d)\/d)\/d*d)) assuming d is positive.\nAnswer: d**(-91\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/22 (b) -3\/7 (c) 413\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-14)*a**(2\/17)\/a assuming a is positive.\nAnswer: a**(-253\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.96 - -1.04. Which is the smallest value? (a) -2\/3 (b) 3\/4 (c) 1 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -3681753?\nAnswer: 3681757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 280 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -87\nAnswer: 5\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/11 - 8340*d\/11 - 16672\/11.\nAnswer: -2*(d + 2)*(d + 4168)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 616569576 to the nearest integer?\nAnswer: 851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 2:35 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(1\/12)\/p)\/(p*p\/(p**(1\/7)\/p)))\/((p**(3\/7)*p)\/p**11) assuming p is positive.\nAnswer: p**(571\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 1214 - 2191 = 0. What is the remainder when h is divided by 76?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 1 (b) -38064 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-11 + 5 - -12) - -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9322757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(-1)\/(-1)*-2. Suppose 3*y - d*y + 44 = 0. What is the highest common factor of 66 and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129709 = 23*m - 407548. What is the ten thousands digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h. Let j(y) = 597*y**2. What is j(f(t))?\nAnswer: 5373*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3*x + 7 = 3, 2*x = 0. Let k be -11*((-37)\/(-12) + -3). Let h = k - -133\/132. Is h less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8924?\nAnswer: 2, 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 39, 20, -17, -78, -169, -296, -465?\nAnswer: -682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/57 and 1\/11.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o + 8. Let p be h(-10). What is the nearest to 0 in -1, p, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-232)\/(-12)*21\/(-2)*-1.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001100100000111001000 + 1?\nAnswer: 101001100100000111001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*t = -15*t - 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 + 11 = -3*t + 5*g, g = -2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30079 is divided by 677?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v**3 - 4*v**3 + v**3 + (12 - 12 - 17*v)*(-6*v**2 - 17 + 17) to z*v + w + y*v**3 + c*v**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54042 divided by 813.\nAnswer: -18014\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7422150521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 2:23 AM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbooobobbibobo. Give prob of picking 2 b.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2644475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-18)*-3)\/((-308)\/(-231)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (100\/50*1\/(-1))\/((-18)\/((-15840)\/22)).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30213 - 4?\nAnswer: 30204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -12*z + 30. Solve -2*f + 5*f + 3 = 5*t, 4*f = z*t + 7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*p = 211*p - 90 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00121853903 rounded to 6 decimal places?\nAnswer: -0.001219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - v**2 + v + 1. Suppose 26*g - 19*g = 63. Suppose -4*i = f + g, -2*i + 3*i + 4 = -2*f. Determine k(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*d + 1946232 - 520461. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336483011 a multiple of 647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 99292 divided by 24823\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t + 0 + 21 = 0. Let c be (38 - 8)*1*-1. List the prime factors of (t - -174 - 1)*(c - -31).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.15*-0.005.\nAnswer: 0.00075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/4)\/(-6)*20\/(-55).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 15 = -3*m - 4*k, k = m + 1. Let x(j) = 3*j**3 + 4*j**2 - 3. Let n be x(m). Find the common denominator of -79\/8 and -125*(-2 - 100\/n).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*v + 6*v. Sort -3, v, -1 in decreasing order.\nAnswer: v, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*h - 7*h, -45 = -3*k + h. Let l be 5\/(5\/k) + 1. What is the highest common factor of l and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 10, o: 1, r: 5, l: 3, z: 1}. Give prob of sequence lrnl.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-10))\/((-12)\/(-90))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3168 and 693?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22551 is divided by 3217?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-2\/5)*t)**(-4\/3)\/(((t\/((t\/t**15*t*t)\/t)*t)\/t)\/(t**(1\/21)\/t)))**(-6\/13) assuming t is positive.\nAnswer: t**(276\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1609\/9726 - -2\/1621. Suppose -f*j**2 + 0 + 1\/6*j = 0. Calculate j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**2 + 1. Suppose 6*b - 5*b - 2 = 0. Let o be r(b). Solve 0 = 3*m, 5*k + 12 = 5*m - o for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 22*d + 123. Let f be c(-12). Solve 2*x = f*x - 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 2*l + 3. Let t be v(0). What is the second derivative of 18 - 51*i - 52*i**t + 1 + 52*i wrt i?\nAnswer: -312*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, c: 12}. What is prob of picking 1 y and 1 c?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1202202 - 10002220110?\nAnswer: -10001010201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (30\/18)\/(((-25)\/30)\/((-21)\/(-14)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/3)\/y)**(1\/17)*y*y**(1\/3)*y*y\/((y*(y\/(y\/(((y**4*y)\/y)\/y)))\/y)\/y)*(y**(-1)*y\/y**(2\/3))**44 assuming y is positive.\nAnswer: y**(-1430\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6864.835 micrograms?\nAnswer: 6864835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126426 and 228?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1004*q**2 + 577*q**2 + 661*q**2 + 955*q**2 + 271*q**2.\nAnswer: 1460*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 8240 = 14719 + 3321. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -461\/9 + 51. Which is the second smallest value? (a) -2\/3 (b) r (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -h**3 + h**2 + 3192*h + 176397?\nAnswer: -3*h**2 + 2*h + 3192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*y + 0*y + 650 = 0. Calculate the common denominator of -7\/24 and 165\/(-60)*y\/(-9).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-6\/11)\/(l**(-17)\/l) assuming l is positive.\nAnswer: l**(192\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -303144 divided by 8.\nAnswer: -37893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247991691.\nAnswer: 3, 59, 1401083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*v**2 + 11*v**2 - 21*v**2.\nAnswer: -31*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ibififbfbififffifif. Give prob of picking 3 f and 1 b.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -4225*c**4\/3 + 47970*c**3 - 621469*c**2\/3 + 12612*c - 580\/3 = 0.\nAnswer: 2\/65, 5, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (11\/(-33))\/(2\/(-6)). Let h be ((-2)\/(-5))\/((-1)\/(-5)). Let z = i + h. What is the highest common factor of 3 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rri when three letters picked without replacement from oirdiirirpidiidrod.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 + 1)*(-73)\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.27 rounded to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (4956276\/(-18))\/((-36)\/96) - (-2)\/(-18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1032 + -567. What is the tens digit of 17\/(2*x\/460 + -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 14 - 2. Let h = 8 - o. Let d be 24\/h*2\/4. Solve 12 = -3*u - 2*y, -d*u - 2*y - 16 = 2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001111100 (base 2) to base 16.\nAnswer: 67c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 2a1?\nAnswer: 2a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7 - -0.3. Let w = -58.8 - -58.5. What is the biggest value in x, w, 2\/25?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*l - 33 + 0*l + 7*l + 3*l - 11*l in the form f*l + z and give z.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 95204.6 tonnes in nanograms?\nAnswer: 95204600000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -7, 3, 0.3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 600 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 564, 1126, 1688, 2250, 2812, 3374?\nAnswer: 3936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -3.7. Which is the biggest value? (a) 0.4 (b) -1\/2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5288, 20022, 44510, 78758, 122772, 176558?\nAnswer: 240122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165 - 165 - 161 + 904 - 167 - 3*b - 246.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and 1333963577840?\nAnswer: 1333963577840.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a microsecond in nanoseconds?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*d + 5 + 11 - 14 as b*d + i and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1760\/66 - 2\/(-6). Let z(q) = 3 + 14*q - a*q + 12*q. Determine z(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - v - 35 = 0, -7*v + 2*v = -5. Let s be (-3)\/(4\/g - 0). Let u(d) = -4*d - 5. Is u(s) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 583087319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 255 + -115. Let v(u) = u**2 - 2*u - 41. What is the least common multiple of w and v(-7)?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-6)*3\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 12. Let n = -2.1 - m. What is the third biggest value in 4, -2\/5, n?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 19 - 1. Suppose -2*l + 14 = -4*i, -3*i + 6 = -r*i + 3*l. Let d(t) be the second derivative of t**4\/12 - t**3\/6 - t**2\/2 + 3*t. Determine d(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -24 - 10*v + 2*v + 4*v - 124 + 38. Determine h(-27).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2646 and 14.\nAnswer: 2646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -83 or -85?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.4709 + -1.581. Is m at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-6) - (-4)\/((-144)\/222). Let i(p) = p**2 + 2*p - 23. Let t be i(o). Let h(n) = -4*n**3 - n + 1 - 5*n + 5*n. What is h(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 20 = -9*d + 4*o, -4*d - 4*o = -16. Let w(a) = 1 - 10*a + 4*a + a**3 + d*a. Let l be w(2). Solve v = -3*j, l = -5*j + 5*v + 25 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 183 = -765. Let s = y + -138. Sort -1, 5, s.\nAnswer: -1, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*f**4 - 275252*f**2 - 24537576*f?\nAnswer: -36*f**2 - 550504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 3*g - 3*t, 0 = t + 4 - 0. Solve -8 = -4*d + 2*r, -r - g = 3*r for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 21 = 3*q, 0 = 4*i + i + 3*q + 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 158201635 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 3, 0, 4.\nAnswer: 0, 0.4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 11*b**2 + 2*b - 10. Let j be l(11). Calculate the greatest common factor of 3 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k**3 + 132*k**2 + k + 36. Calculate the lowest common multiple of v(-33) and 124.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/2)\/(4\/14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llmm when four letters picked without replacement from lmlmmmlmlllmm.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*q + 2158 = 21*q. Solve -7*l + q = 41 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214554661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78 and 17394.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4*q - 5. Suppose -v - 13 = 2*v + 2*w, -3*v - 28 = 5*w. Let m(y) = 11*y + 5. Let x(g) = -7*g - 3. Let c(k) = 5*m(k) + 8*x(k). What is v*d(p) - 3*c(p)?\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 2\/9, 3\/2, -131, 2\/15, -0.04, 13, 0?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -570264 divided by 6.\nAnswer: -95044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -17*m + 0 - 4 + 19*m. Let o(d) = -d + 2 + 1 + 0*d. Let t(v) = -4*o(v) - 3*x(v). Let y(r) = r. Give y(t(h)).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -43*x + x**2 - 7*x + 95 + 4*x**2 + 30 = 0. What is x?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -14*j + 9*j. Find the first derivative of -3 - j*p**4 + 307*p**2 - 307*p**2 wrt p.\nAnswer: -84*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*g - 9. Calculate the highest common factor of g and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xhxxhxxxx. Give prob of picking 1 h and 3 x.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2 + 6*r - 1. Give h(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/3, 0.4, 242, 0, 3.12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-60) + 2\/((-90)\/1430068731). Let z = 13629305 + j. What is z rounded to the nearest one million?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a295 (base 11) to base 10.\nAnswer: -13656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v - 4. Let p be s(-7). Calculate the greatest common divisor of p and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 170*c**2 - 7903*c + 206. Determine x(-208).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 146423180 a multiple of 2579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 1:08 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 3:09 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 7:42 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13190000 rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n - 3. Calculate the remainder when 49 is divided by u(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2462950\/87 or -28311?\nAnswer: -2462950\/87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -57165443*i**2. Let u(l) = 2*l**2. What is r(u(m))?\nAnswer: -228661772*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32685091 is divided by 2781.\nAnswer: 2779","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001000000011000010110 (base 2) to base 9.\nAnswer: 8344210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**3 + 20*l**2 - 43*l + 10. Let v be g(7). Let 2\/3*x - 4\/3 + 2*x**2 - 2\/3*x**v - 2\/3*x**4 = 0. What is x?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((p + 2*p - 2*p)*(-1 - 1 + 3) - 2*p + 3*p - 8*p)*(163*p**2 - 70*p**2 - 2*p + 182*p**2).\nAnswer: -1650*p**3 + 12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) 2\/5 (b) 0.1 (c) -1 (d) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*m - m**2 - 4*m)*((3 - 2 + 1)*(m + 1 - 1) + (m + 4*m - 3*m)*(-160 - 623 + 200)) to the form w*m**3 + q + b*m**2 + f*m and give w.\nAnswer: 1164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2 = 18. Suppose -n = 4*f - 13, -n = 5*f - 17 - 0. Let g be 39\/(-9) - 1\/n. Put g, -5, s in decreasing order.\nAnswer: s, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(156) - sqrt(156)*2) - (sqrt(156) - sqrt(156)*-1 - sqrt(156) - sqrt(156))*-5)\/(-6*-3*sqrt(1200)*2).\nAnswer: sqrt(13)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: Solve 0 = -5*d - 2*r - 18, 0 = 4*d - 5*r - 12 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -274*q**3 - 2*q**2 + 0 - 1 + 291*q**3 in the form n*q**3 + y*q + f*q**2 + k and give n.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 0*m + 8*m**2 - 7*m**2 + 5*m**2 + 0*m. Let v(n) be the third derivative of -n**4\/8 + 17*n**2. Calculate l(v(s)).\nAnswer: 54*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*m**3 + 35*m**3 + 30*m**3 + 12*m**3.\nAnswer: 59*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, x: 9}. What is prob of picking 3 x?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -329250 or -6255743\/19?\nAnswer: -6255743\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -177 or 0.04343?\nAnswer: -177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6478656 by -12.\nAnswer: 539888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-8076)\/85 + -1874 + 1969\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -12. Suppose 2*t - k - 5 = h, -30 = -5*h - 5*t. Let n = -495\/4 + 123. Which is the closest to -0.2? (a) 2\/9 (b) h (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21002 times 0.1\nAnswer: 2100.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 8*w**3 + 12 - 10*w**3)*(-w + 3*w - 3*w)*(10 + 2 + 10) + (-3*w**2 - 3*w**2 + 4*w**2)*(-3*w**2 + 0*w**2 + 2*w**2).\nAnswer: 46*w**4 + 22*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 2286660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)\/sqrt(12))**2 + -1 + 4)*5.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/15*-1 - 18040\/(-12300).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 45*h**2 + 205*h + 164. What is b(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 146 + -143. Suppose 2*d - p*x = -13, 3*d - 4*d = 5*x - 13. Put 48, d, 3, 4 in increasing order.\nAnswer: d, 3, 4, 48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 4*s + 7. Let m be k(-5). Suppose -m*h + 8 = -0*h. Let n be (-3)\/(-2)*(h - 2). Solve n*t = -1 - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23768421 is divided by 1471.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -0*a. Suppose 0 = -3*v + 5*m + 28, 0*m = 2*v - m - 7. Let s(i) = 5*i**3 + i**2 - i - 1. Let j be s(-1). Sort a, v, j in ascending order.\nAnswer: j, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -117251.7917 minus 3.82?\nAnswer: -117255.6117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -0.2 (c) -319\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -46. Calculate the remainder when 131 is divided by a.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 11*f - 17. Let c be r(9). Let y be (10\/(-4))\/(c\/(-2)). Suppose 2*t - 9 = y. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 26488*t**2 + 60*t + 60. What is the ten thousands digit of g(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -11*f - 89. Let l be j(-14). Suppose 513*x = 512*x + l. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -625 in descending order.\nAnswer: 1, -2, -625","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 118, 1398, 4864, 11608, 22722, 39298, 62428?\nAnswer: 93204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7 - -6)\/(3\/(-12)). Solve -y*k + 22 = 2*h, -2*k - 5*h + 2 + 21 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.414 - 0.586. Let k = -9.2 - -8. Let w = z - k. Which is the second biggest value? (a) w (b) 0.3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -398837, -398846, -398861, -398882, -398909, -398942, -398981?\n\"Answer: -3*i**2 - 398834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yky when three letters picked without replacement from {k: 1, y: 2, x: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p**(-5)*p))\/(p*(p**1\/p)\/p))\/(p*(p\/(p**5*p)*p)\/p*(p\/p**(2\/23))\/p))**(-32) assuming p is positive.\nAnswer: p**(-6688\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 34 - 18. Which is bigger: a or -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24182, -24181, -24180, -24179, -24178?\nAnswer: -24177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 4:48 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 143, 5, -5, 0, 3 in decreasing order.\nAnswer: 143, 5, 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 14, 0.4, 1, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3806489?\nAnswer: 43, 88523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-7 + (-9 - -16))\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 a factor of 50050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -13.78. Let z = -17.22 - g. Let p = -17.014 - z. What is p rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12061471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -96570.985094 + 60065.11878. Let b = 36451.866313538 + y. Let d = 54 + b. What is d rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.7 + 0.2. Let o = 8 - 8.1. Which is the biggest value? (a) n (b) -4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*g + 6*g. Let w(n) be the second derivative of -1174999*n**5\/20 + n**4\/4 + n**3\/6 - n**2 + 9*n. Let a be w(g). Round a to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/90 + (-43)\/(-9). Let y be 1 + -2 - (-15 - -3). Suppose 2*r + 10 = -2*v + u*r, -3*r = -v - y. Which is smaller: v or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2157\/2 + 1101. Calculate the common denominator of v and 91\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g + 5*g = 112. Let q(i) = 5*i + 3. Let y(l) = -2*l - 1. Calculate g*y(v) + 3*q(v).\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 11283?\nAnswer: 3","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 dnndjnxjndjdjnnd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from {o: 2, j: 4, x: 8, n: 3}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 0.495149?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -51026 and 5811.2.\nAnswer: -45214.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5603 is divided by 181?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1047684234?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -4*m - 4. Let x = 17 + -10. Let r(c) = -c + 5. Let g(s) = -s + 7. Let v(f) = x*r(f) - 5*g(f). Determine k(v(i)).\nAnswer: 8*i - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 229 = 1377. List the prime factors of p.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, a: 2, p: 2, g: 2, d: 5, c: 1}. What is prob of picking 1 d, 1 a, and 2 n?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 73*t**2 + 611*t + 10830. Determine u(-79).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 17*t**2 - 3*t - 50. Suppose -2*n + 2*j + 33 = 3*j, 4*n = -5*j + 69. List the prime factors of a(n).\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -1401 (c) -72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 - 30*a**2 - 120*a + 320.\nAnswer: 5*(a - 8)*(a - 2)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 16*b**2 - 17*b + 12. Let x be a(-15). Suppose -w + 11 = x. Is (w\/5)\/(2\/(-10)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5818 * 5.\nAnswer: 2.909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/4 - 0) + (-133)\/(-38). Let c(a) be the third derivative of -3\/160*a**6 + 0*a**4 + 0 + 0*a + i*a**2 + 1\/40*a**5 + 0*a**3. What is z in c(z) = 0?\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4745261520 to the power of 1\/2, to the nearest integer?\nAnswer: 68886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*x + 4 = -233*x, 2*x = -3*p + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 * -192297.9\nAnswer: -153838.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 0 - 3) + (1 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a**3 - 1011*a**2 + 30301*a + 197. Calculate h(218).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-15 + 5 + 43)*(0*b - 5*b + 4*b) - b + 5*b - 3*b + (-2 + 0 + 4)*(-b + 0*b + 2*b) + 0 + 0 + 2*b)*(4*b + 13*b - 7*b).\nAnswer: -280*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/4009 and -24\/1957.\nAnswer: 412927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 + 1.7. Let s = h - 0.2. Let z = -1\/44 - 41\/132. What is the third biggest value in s, z, -1\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2386602694?\nAnswer: 2, 7, 170471621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 817036074 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 + -27. Suppose 4*q + 3*b = h, -2*q + 3*b = -0*b. Solve q*n + 23 = -4*l - 0*n, -3*n = l + 17 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of 0*d**4 + 49*d**2 + 1\/60*d**5 + 0*d - 3\/2*d**3 + 0. What is s(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281258784?\nAnswer: 2, 3, 31, 10501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1332535 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1094224 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (72\/(-7) - -10) + (-306)\/(-42) - (-9 - 85)\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -221*b**3 + 226*b**3 - b - b**2 + 2*b**2 to the form v*b**3 + g + r*b + f*b**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*x = 2. Suppose 0 = -2*f - 2*q - 4, 0 = 5*f + x*q + q + 8. Are 1\/15 and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12361?\nAnswer: 47, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - j**2. Let p(k) = 5*k**3 - k**2 - k. Let x(t) = -m(t) + p(t). What is the second derivative of x(u) wrt u?\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -141*p + 3. Give n(-1).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10 - 0 - 3 - -1. Suppose 5*p = p + j. Suppose -72*h = -77*h + 30. Calculate the remainder when h is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.00091 - -3.00091. What is the third smallest value in x, 17\/114, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1184 - -5902\/5. Let u = 51\/5 + -6. Let n = u + k. What is the smallest value in n, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48170 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 68 in -2\/7, 94, -0.2, -2, -0.7?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) 95 (c) -2 (d) 0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (2 - 0 - 0 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/14)\/(((-4)\/28)\/(-1))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 w when two letters picked without replacement from {q: 2, z: 1, g: 1, w: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27597 + 917.\nAnswer: 28514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -11*m. Suppose 38*t - 280 = 632. Let p(u) = 0 - t - 27*u + 10 + 14. What is f(p(n))?\nAnswer: 297*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4.9, -17.46, 0.3, 5 in descending order.\nAnswer: 5, 4.9, 0.3, -5, -17.46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18*7\/(-525))\/(6\/(-20)). What is the nearest to -1\/3 in -0.5, 0, f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96329 is divided by 32034.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-607 + 335 + 333)*(2*c**4 - c**4 + 2 + c**4).\nAnswer: 122*c**4 + 122","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.24610287444707 - 19616357.24610267444707. Let t = o - -19616350. Let p = -6 - t. Round p to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-1 + 2 + -2). Suppose 0 = 5*x - 2*x - 15, -2*x = 5*n - 30. Which is the smallest value? (a) n (b) 0 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 593941567 a multiple of 4835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 174*z**2 - 16*z - 55. What is the thousands digit of q(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbvv when four letters picked without replacement from {v: 4, b: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4*q + 11. Let w be k(-14). Which is greater: -46 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -442460, -442451, -442442, -442433, -442424?\nAnswer: -442415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 213.6 + -461.5966?\nAnswer: -247.9966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**3 + 1 - m - 3 - m**3 - m**2 + 0*m**2. Let q be f(2). Suppose q = 4*l + 16 - 64. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1\/4, -1, 36, 0.4 in ascending order.\nAnswer: -1, 1\/4, 0.4, 0.5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 3*u**2 - 3*u + 3. What is j(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6987 is divided by 309.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.8 + 0.1145.\nAnswer: -3.6855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -192 - -499. What are the prime factors of x?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 918 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25\/821421 or 1?\nAnswer: 25\/821421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 8:16 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/(-6) - (-1 - -3). Suppose -4*p = 4*y + 12, -3*y - 10 = 4*p - l. What are the prime factors of 5 + -6 - -1*(15 + p)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**3 - 4*r**2 + 14*r + 3. Let x be z(-6). Calculate the highest common factor of 9 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-2 + -2 + 7\/(49\/35)). Sort t, 2, 30 in decreasing order.\nAnswer: 30, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 - 37 - (6 - (1 + -2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -0.59, -138879, 0.4, 4\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 45 (base 10) to base 12\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4330346.\nAnswer: 2, 773, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.133571 less than -3?\nAnswer: -3.133571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1541 + -1483. Suppose 4 = -4*m + 5*m. Suppose 55 = m*j - 61. Calculate the highest common divisor of j and b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-8) + 207\/36. What is the third derivative of -5*w**c + 33*w**4 - 7*w**2 - 34*w**4 + 16*w**5 wrt w?\nAnswer: 660*w**2 - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 251 - 70. Let p = y - 184. Let r(a) = -a**3 - a**2 + a + 3. Give r(p).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (1 - 1)\/((-14)\/7). Suppose s = 5*z - 54 - 6521. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 10 = -0*g + g, -s = 2*g. Let x be 16\/6*(-2 - 7\/g). Solve -5*v = 2*m - 15, -v - 3*v + x = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1318 + 1321. Let t(w) = 4*w**2 + 2*w. Let g be t(-2). Let b be g*(-3)\/(-2*6). Solve -5*u + a*p = -37, 3*u + b*p + p = -1 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1501176 divided by -750588.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58234, 232941, 524120, 931771?\nAnswer: 1455894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.9 (b) -5 (c) 0.3 (d) -1 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2005\/2 (b) -5 (c) 6\/19 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 2*d**2 + d - 4. Let r be s(-3). Suppose 5 = o - 3*a - 15, 4*o = 2*a + 40. Suppose 0 = 2*g + 2 - o. Solve -g*u - r*u + 5 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*i + 22642 = -27183. What are the prime factors of i?\nAnswer: 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-9)*3*(-426)\/(-71)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 18, 26, 48, 90, 158, 258, 396?\nAnswer: 578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-2\/7)*o)**(-28)\/((o\/o**(-4)*o)\/(o*o*o**(-2)\/o)) assuming o is positive.\nAnswer: o**(-55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(6\/13)\/q))**(-1\/24)\/(q**(1\/7)\/q**(-16)) assuming q is positive.\nAnswer: q**(-8849\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, v: 3}. Give prob of picking 2 a and 1 v.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/((-132)\/(-21) - 6). What is the third biggest value in q, 2, -7\/6?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2194, 2192, 2190, 2188, 2186, 2184?\nAnswer: 2182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(-2\/7))**(7\/3))**(-14\/11) assuming g is positive.\nAnswer: g**(-56\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28.7*0.162996.\nAnswer: 4.6779852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.77 + 9.842. Let s = t - -5. What is s rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -52246.1 to the nearest 100.\nAnswer: -52200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36134918 is divided by 6777?\nAnswer: 6731","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x - 126*x**2 + 2*x.\nAnswer: -126*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**5 - 10*w**4 - 30*w**3 + 20*w**2 + 65*w + 30.\nAnswer: 5*(w - 3)*(w - 2)*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(sqrt(2) + sqrt(4)\/sqrt(2)))\/(-5*sqrt(4)*-2).\nAnswer: sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4335.44 millilitres in litres?\nAnswer: 4.33544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47684 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2 * -8.2.\nAnswer: 9.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-17)*(g\/(g\/(g\/(g\/g**9))))\/g)**(-21\/2))**(1\/71) assuming g is positive.\nAnswer: g**(189\/142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 5*k. Let t(o) = o**3 - 7*o**2 + 5*o + 11. Let l be t(6). Suppose -5*w = l + 20. What is a(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.9793 - -0.0207. Let s = -5 - -3. What is the closest to s in -7, n, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 + -58181b?\nAnswer: -581825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5749*q**2 - 4. Let k be v(2). Round k to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, j: 3}. What is prob of sequence pp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4497774 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1646 (b) 0.3 (c) -1\/6 (d) 33 (e) 178\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1768?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from swsswssssswssswwss. What is prob of picking 2 w and 2 s?\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-166)\/(-2241) - (-2104)\/27. Solve 83*y - l*y = 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1055.\nAnswer: 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/4)\/((-2)\/(-48))*6. Suppose -4*j = k - 1920. Suppose 3*c - 171 - j = 0. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2121 - -2120. Let p = 85.5 - 86. What is the smallest value in p, a, -0.21?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -399, -1374, -2581, -3672, -4299, -4114?\n\"Answer: 58*z**3 - 464*z**2 + 11*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 11. Sort c, -1, 1, -7 in increasing order.\nAnswer: -7, -1, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, 1, 12784, -1\/8, -3?\nAnswer: 12784","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6162, -12324, -18500, -24696, -30918, -37172, -43464, -49800?\n\"Answer: -j**3 - j**2 - 6152*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 10724?\nAnswer: 321720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*k - 587 - 706 - 813. Is k != 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.6250028 - -0.6234. Round g to 5 decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -35942, -33979, -32016, -30053, -28090, -26127?\n\"Answer: 1963*t - 37905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4420915 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of 2*g**4 - 3\/40*g**5 - 1\/720*g**6 + 0*g**3 + 0 + 0*g**2 - 27*g. Let b(r) be the third derivative of p(r). Determine b(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xcxkc. What is prob of sequence xkc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/3)\/(8\/2)*(-30)\/(-210)*1449.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60590244 divided by 27001?\nAnswer: -2244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)*2*-5)\/sqrt(6) + (1*sqrt(325) - (sqrt(13) + (sqrt(117)\/(sqrt(9)*-1) - sqrt(13)) + sqrt(13)))**2.\nAnswer: -10*sqrt(13) + 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9136?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02071 * 671.\nAnswer: 13.89641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*z - 866 = -262 + 584 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -612 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from etbuteko. Give prob of sequence eu.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2760)\/100 - -27)\/((-6)\/20). What is g in 2\/3*g**3 + 4\/3*g + 0 - 2*g**p = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((2\/(-1))\/(-6)*-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0817743 rounded to 3 dps?\nAnswer: 0.082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*j**2 - 17 + 26*j**2 + 19 + (-2*j**2 - j**2 + 2*j**2)*(-1 + 2 + 1) + (2*j - 5*j + j)*(-3 - 4*j + 3).\nAnswer: 14*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 150889941 divided by 50296647\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*x**3 + 13 - 9 - 1 to the form t*x + q + s*x**2 + m*x**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 2*h = -6. Let r = 2 - h. Suppose -3*t + 4*i + 12 = -7*t, -r*t = -5*i - 15. Solve a = -t*a - 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6981, -11263, -15543, -19821, -24097, -28371?\n\"Answer: u**2 - 4285*u - 2697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a gram in milligrams?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of 1\/3*c**6 + 0*c**2 + 0*c - 7\/10*c**5 + 2 + 1\/4*c**4 + 1\/6*c**3. Determine h, given that z(h) = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 2*g = -14, -2*l + 6*l - 4*g = 36 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -778\/25 (b) -0.27 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2652 divided by 6.\nAnswer: -442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.2 + 0.2. Which is the closest to 0? (a) 1\/2 (b) 3\/2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -4220*y - 45958. Let v be t(-11). Let b(i) = 11*i**2 + 2*i + 2. Let n be b(-2). What is the highest common factor of v and n?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -506 + 543. Factor -i**2 + 59*i - 3322 + j*i + 4*i + 822.\nAnswer: -(i - 50)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vcqqh. Give prob of sequence cqq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.5, -32, 4, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (15\/(-2))\/(-5) - 1705\/(-310). Solve -5*h + 2*h = 5*t - x, -5*t = 2*h - 8 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4292 = 29187*q - 29113*q for q.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2467 = -r, 3*d - 4*d = -3*r - 7396. Let v = r + 5825. Suppose v + 225 = 5*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i - 38. Let c be -3*(-19)\/6*-2. Let l be j(c). Which is greater: l or -25?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 - -2. Does 16 divide -2*((-5)\/q - 239\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 2*c - 372 + 1344, 2*j - 4*c = 486. What is the units digit of j\/54*(-1)\/(-3)*38?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmeeeem. What is prob of picking 3 e?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o + 6 - 22, 4*u + 0*o - 13*o = -8*o - 44 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -55502, -55489, -55474, -55457, -55438, -55417?\n\"Answer: k**2 + 10*k - 55513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 10, b: 4}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*((-35)\/(-21) + -2). Solve -49 = -24*m - w for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/((-240)\/(-5)) + 0. Which is the second biggest value? (a) 1 (b) -3 (c) 0.5 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 11*r**2 + 10*r + 2. Let f be (-3)\/1 - (-26)\/2. Let h be s(f). Solve -h*x**2 - 3*x**2 - 3*x + 2*x**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10148\/30372 + 1\/(-3). Let g = u - 108843\/12655. Calculate the common denominator of g and 143\/48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11915?\nAnswer: 5, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -120.86266 to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 14 - y**2 - 4*y**2 + 11*y + 6*y**2. Let b be l(-10). What is the greatest common divisor of 20 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*m**6*t + 2*m**6 + 4*m**4 + 20*m**2 + 4*t wrt m?\nAnswer: 480*m**3*t + 240*m**3 + 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f. Let u(k) = -69*k**2. Give u(t(r)).\nAnswer: -621*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.03 (b) -65.8 (c) 1 (d) 13 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((-4 - -2) + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/4 in -2\/7, 0.3, -1, 1\/3, 22811, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1355009901.\nAnswer: 3, 7, 64524281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 4, -5, -1, -4 in decreasing order.\nAnswer: 15, 4, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**5 - 1494181*o**4\/2 + 1120638*o**3 - o**2\/2 - 373546*o = 0. What is o?\nAnswer: -747092, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/5)*x**(-2\/13)\/x*x*x**(-6)*x\/((x*x**(2\/3))\/x))\/(x**0\/(x*x\/(x*x**(-1))))**(-2\/23) assuming x is positive.\nAnswer: x**(-25988\/4485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggffvh. What is prob of sequence vgf?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -91, 0.3, 7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.02 + -0.02. Let p = 0.4 - h. Put p, 3, -0.4 in decreasing order.\nAnswer: 3, p, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v**2 + 864*v + 863 = 0. Calculate v.\nAnswer: -863, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1782267 to the power of 1\/4, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/2 - 5\/6. Let l(m) = -m - 6. Let q be l(-6). Is q equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16248712*q**2 - 27077015*q - 2 wrt q?\nAnswer: 32497424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 2907690\/1442 - (-6)\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 24*o + 8. Let d be q(9). Let b = d - 127. Suppose p - 2*c = b, 2*p - 5*c = 5*p - 302. Does 9 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17\/4, 2\/3, 0 in ascending order.\nAnswer: 0, 2\/3, 17\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*s**2 + 67*s**2 - 4*s**3 - 7*s**3.\nAnswer: -11*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -v**4\/2 - 3*v + 5. Let w be a(4). Round w to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -36*g**2 + 1105308*g + 239883736?\nAnswer: -72*g + 1105308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 7*a - 3*a)*(a**2 + 0*a**2 - 5*a**2)*(-5*a + 5*a - a)*(-5 + 3 + 1).\nAnswer: -12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4402022402 (base 5) in base 4?\nAnswer: 203320311230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1383175 (base 9) to base 11\nAnswer: -481621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 114, 121, 130, 141, 154, 169, 186?\n\"Answer: z**2 + 4*z + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 8 + 2)*(-2*b**2 + 0*b**2 + 4*b**2) + b**2 - b**2 - b**2 + (2*b - 2 + 2)*(-3*b + 0*b + 2*b).\nAnswer: 13*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4465 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(600)*-5)\/(sqrt(300) - (sqrt(300) + 5*(sqrt(300) - sqrt(300)*4) + sqrt(300))).\nAnswer: -15*sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 469\/4 - 118. Which is the third biggest value? (a) 1\/2 (b) s (c) 38\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**3 - 6*a**2 + 8*a**2 + 2*a**2 - 6*a**2 - 1 - 3*a - 3*a**3 as s + c*a**3 + h*a**2 + j*a and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 352\/121*2145\/130.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2487\/2 - -4839\/4. Let f = q + 34. What is the closest to f in 0.9, -2\/9, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*v = 0. Suppose 5*i - 31 = -4*a - 4, v = -4*i - 5*a + 27. Factor -4\/3*j**4 - 2\/3 - 6*j**2 + 10\/3*j + 14\/3*j**i.\nAnswer: -2*(j - 1)**3*(2*j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 4*l + 2*a - 5 = 0, 44*l - 583*a + 581*a = 112 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 992984, 992998, 993026, 993074, 993148?\n\"Answer: w**3 + w**2 + 4*w + 992978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -8) + -8 - 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -251.7 and 61109.\nAnswer: -15381135.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -807 - -1394. 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 14 is divided by 5*2*(-4)\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 1:02 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -61 - -99. Suppose y = 3*y - n. What is the remainder when 2 - 3 - 37*-1 is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 80, 116, 152, 188, 224?\nAnswer: 260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 21\/6 + (-2)\/(-4). Suppose -n - 8 = -4*g, 0 = z*n - 2*n + 3*g - 17. Let f(d) = d**2 - 2*d + 1. Calculate f(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*((-12)\/(-4))\/(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1263415 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-782)\/6 + 1\/(-3). Let l = -77 + a. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = g - 4. Suppose 9*b - 40 = 4*b. Suppose u - 8 = 4*z, g*u - 3*z - b = z. Solve u*r = 4*s + 5*r + 17, -3*s + 5*r = -31 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52 and 96.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60 - 5. Let p(u) = u**2 - 10*u. Let v be p(10). Suppose v = 3*x - 35 - q. Solve 0 = -3*i - 2*i - 5*o - x, -i + o = -4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 0*a - 2*a)*(-4 + 0 + 5) - 6*a + 9*a - 4*a + (0*a - 5*a + a)*(-4 - 1 + 2)*(1 - 3 + 5).\nAnswer: 33*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8436093 milligrams in tonnes?\nAnswer: 0.0000000008436093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g + 2*g**2 - 2*g**2 + 2*g**2. Let b be u(-2). Suppose -2*a - 2*t = -b, -3*t = -4*a + 14 + 22. Is a a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -u**5\/20 + 2*u**4\/3 - u**3\/3 + 3*u**2\/2 + u. Let q be (-2 - 1)\/(30\/(-70)). Is j(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 93*t**2 + 107*t - 302. What is the remainder when y(94) is divided by 186?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18\/7, 1\/10, -2\/7, -4 in descending order.\nAnswer: 18\/7, 1\/10, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of k**2\/2 - 179*k - 31. Let x be s(30). Is x not equal to -151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-12)\/8*(-88)\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26ee (base 15) in base 3?\nAnswer: -102102022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.6 and 312?\nAnswer: 311.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 124*l**4 - 211*l**2 - 61006 wrt l.\nAnswer: 496*l**3 - 422*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, -5, -3, -1.\nAnswer: -51, -5, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -r + 3. Let y(s) be the third derivative of 2*s**4 - 2*s**2 + 14\/15*s**7 + 41\/12*s**5 + 0 + 2\/3*s**3 + 119\/40*s**r + 0*s. Factor y(p).\nAnswer: (p + 1)*(4*p + 1)*(7*p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/(sqrt(81)*2 - sqrt(9)).\nAnswer: sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/7*t**2 - 2\/7*t**4 + 0 + 6\/7*t**3 + 2\/7*t.\nAnswer: -2*t*(t - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 - 68\/(-578).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 5*w - 2*w + 5, 5*w - 1 = -2*j. Let m = w - 5. Let p = 4 + m. Solve -2*i + 0*i + 4*n + 16 = p, i + 3*n = -7 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 6) in base 2?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d - 2. Let w be j(-5). Let r be 2 + (-2 - w\/4). Suppose r*l + 17 = u, -2*u + 0*l = l + 1. Solve u*x + x + 1 = -5*k, -11 = k - 3*x for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 309*(-1 - -2)*(-68)\/(-3). Let h be 3\/(30\/g) - (-16)\/(-40). Suppose -h + 195 = -5*m. Does 48 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-38)\/(-6))\/((-25)\/(-150)). Suppose 105 = -31*l + f*l. Which is greater: l or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24 - (-2610)\/116)*3\/(9\/(-20)). Solve -80 = -3*y - 2*g - 85, 0 = -3*y - 5*g + v for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 1\/6, -22, 0.3, -5\/4, -35?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 4 = 4*x + 8, -1 = k + x for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 174238284 a multiple of 836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1c3c00 (base 13) to base 3\nAnswer: 1100201021121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by ((-104)\/(-12))\/(-4*(-1)\/6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 27\/2? (a) 4 (b) -2\/5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -109 - -297. List the prime factors of g.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -g - 20. What is the common denominator of 5\/2 and ((-260)\/g*(-10)\/(-4))\/(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -15*c**2 - 8*c**2 + 38*c**2 - 17*c**2. Let o(r) = 59*r**2 - 1. Determine b(o(x)).\nAnswer: -6962*x**4 + 236*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5*z - 7 = 0, -z + 2*z = -4*b + 32. Let c be (-4)\/(-6) + (-1 - (-636)\/18). Suppose c = u + b. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 352 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and 42020.\nAnswer: 840.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + 260\/28)*(0 + 7) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10641, 21284, 31927, 42570, 53213, 63856?\n\"Answer: 10643*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16031)\/(-1518) - 1\/2 - 36\/594) + -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(684)*-2*1 + sqrt(684)*4 + -1)**2.\nAnswer: -24*sqrt(19) + 2740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29429\/110 + -1347\/5. What is the common denominator of 61\/16 and l?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -45*y**3 - y**2 - 14*y - 80. Determine u(-4).\nAnswer: 2840","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*i + 32*i - t = 213, 5*t = -2*i + 440. Calculate the remainder when 433 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and 940.\nAnswer: 940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 500.833 - -0.167. Let u = m - 500.9571. What is u rounded to 3 dps?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/15 - 2*l\/3 + 4\/5.\nAnswer: 2*(l - 3)*(l - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101010022 + -22202?\nAnswer: -101110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 7*x**3 + 2*x**2 + 2*x - 1. Let v(q) be the first derivative of -7*q**4 - 3*q**3 - 9*q**2\/2 + 4*q - 6187. Determine 18*t(j) + 4*v(j).\nAnswer: 14*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, r: 2}. Give prob of picking 2 r and 1 j.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -926507, -1852527, -2778549, -3704573, -4630599, -5556627, -6482657?\nAnswer: -7408689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + 17. Let h = 10988 - 10990. Sort o, -13, h.\nAnswer: -13, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459 a factor of 62559419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 53*r - 100025*r**2 + 0 + 100073*r**2 + 0.\nAnswer: 48*r**2 - 53*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 551 >= 476?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 11, c: 3}. What is prob of sequence zz?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 12. Let t = -0.6 + 0.1. Which is the biggest value? (a) q (b) t (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3*sqrt(228)*3 - sqrt(228)))\/(6*(-4*sqrt(24)\/sqrt(2) + sqrt(12) + sqrt(12))).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 2*m**2. Let r(q) = q**3 - 5*q**2 + 5*q - 4. Let c be r(4). Suppose c = 3*f - 8*f - 10. Let j be z(f). Solve 2*p = -j*p - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j - 3 + 5*j + 792*j**3 + 14*j**2 + 814*j**3 - 1598*j**3 to i*j + o*j**3 + g + w*j**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3 - i + 3*i + 4. Suppose 4*o + 0*o + 4 = 0. Let n be y(o). Sort n, 0, 1.\nAnswer: n, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (43 - 48 - 70)*((2*o - 7*o - o)*(o**2 - 2*o**2 + 0*o**2) + (-6*o**2 + 3*o**2 - 4*o**2)*(-13 + 2*o + 13)) to r + u*o + n*o**2 + l*o**3 and give l.\nAnswer: 600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k - 6*k + 0*k. Let b(a) be the first derivative of -5*a**2\/2 + 286. Give l(b(h)).\nAnswer: 20*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 22\/(-4) - 1689\/1126\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 2*t - 9. Let l be r(-8). Suppose 0 = 4*i + l + 101. Let w = -14 - i. What are the prime factors of w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-100*x + 52*x + 61*x)*(-2*x - x + x)*(4*x**2 - 6*x**2 + 3*x**2) to b*x**2 + f*x**4 + t*x**3 + a*x + r and give f.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57688.\nAnswer: 2, 7211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -10*d**3 + 6*d**2 + 5*d + 7. Let x(l) = -l**3 + l**2 + l + 2. Calculate -h(s) + 4*x(s).\nAnswer: 6*s**3 - 2*s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f + 2*f = 0. Let u(t) = -t**2 - 17*t + 470. What are the prime factors of u(f)?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) 1\/2 (c) 4 (d) -8\/3 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2*b)*(3*b + 3*b - 7*b)*(-2 + 5 - 1)*(14*b - 8*b - 17*b) to f*b**3 + x*b + w + i*b**2 and give f.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*m + 2*m + 3*m)*(0*m**2 + m**2 + 0*m**2)*(4 + 36 - 2).\nAnswer: -76*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkjkkfkkjnfnfjn. What is prob of picking 1 n, 1 k, and 2 j?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 12. Solve -2*j = -0*j + q*l + 16, 3*j = -4*l - 27 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 s, and 1 u when three letters picked without replacement from {o: 5, u: 1, x: 3, s: 1, d: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*w + 0*w - 7*w)*(-w**3 + 7*w**3 + w**3 + w**3 - w**3 + 2*w**3 + (2*w + 2*w - 3*w)*(2*w**2 + 4*w**2 - 4*w**2) + w**3 - 3*w**3 + 11*w**3).\nAnswer: -360*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-28)\/21)\/(16\/(-12) + -2). Let f = 0.8 - -4.2. Which is the third biggest value? (a) 0 (b) f (c) -1 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -p**6\/1800 + 3*p**5\/100 - 27*p**4\/40 - 5*p**3\/3 + 2*p**2 + 48. Let o(t) be the third derivative of j(t). Factor o(d).\nAnswer: -(d - 9)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -6*q - 36. Determine s(-14).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 82043 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + p = 11, -5*p = -2*f - 3*p - 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -19*p**7\/210 - 3*p**3 - 15*p**2\/2 + 15*p. Let m(v) be the first derivative of i(v). Differentiate m(b) wrt b.\nAnswer: -76*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*h**3 - 14*h**3 - 2 + 34*h**3 - 25 as c*h**3 + f + n*h**2 + z*h and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -133012332122 (base 4) to base 16\nAnswer: -7c6f9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {c: 2, s: 1, a: 6, e: 3, f: 4}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**5\/3 + 2098*b**4\/3 + 9628*b**3 + 90232*b**2\/3 + 81776*b\/3 = 0. What is b?\nAnswer: -19\/2, -2, 0, 538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -365, -1458, -3279, -5828?\nAnswer: -9105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*3776.\nAnswer: -3776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -36, -69, -106, -147, -192, -241, -294?\n\"Answer: -2*p**2 - 27*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9448082 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -79903, -79894, -79907, -79954, -80047, -80198, -80419, -80722?\n\"Answer: -2*u**3 + u**2 + 20*u - 79922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of l**7\/35 + l**4\/3 - 10*l**2. What is the second derivative of r(z) wrt z?\nAnswer: 72*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cs when two letters picked without replacement from csccvvppc.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*i**4*o - 67*i**4 + 3*i**3*o + 104*i**3 + 15347*i**2 - i*o - 3*o - 12 wrt i?\nAnswer: 72*i*o - 1608*i + 18*o + 624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*t - 365 = -2*t - 185 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v\/(v\/(v**(-1\/6)\/v)))\/v**(-11))**22 assuming v is positive.\nAnswer: v**(781\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 greater than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.9 + -3.06. Let m = w + 0.8. Round m to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p = 8*p + 1017. What are the prime factors of p?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 36*w - 1. Let m be x(6). Let c(d) = -d + 1. Let n(p) = 1. Calculate m*c(r) + 6*n(r).\nAnswer: r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1446 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -240*t**3 + t**2 + 97 wrt t?\nAnswer: -720*t**2 + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12353 and 0.8.\nAnswer: -12352.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ugngvnwuugwwv. Give prob of picking 3 g.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + 3 + (-402899)\/(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 172564728?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 21*c - 4. Let t(u) = 5*u - 1. Let p = -1247 + 1256. Suppose 0 = 3*o + 5 + 1. Determine o*r(v) + p*t(v).\nAnswer: 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**2 - 1. Let v(x) = -4*x - 23. Let s = -72 - -66. Let a be v(s). Determine z(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of c**7\/70 + c**5\/60 - 5*c**4\/24 - c**3\/6 - c**2. Let a(r) be the second derivative of i(r). Let h(q) = -q. Determine h(a(p)).\nAnswer: -36*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**3 + 787*j**2 + 795*j**2 + 13*j - 1582*j**2.\nAnswer: -2*j**3 + 13*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 183 - 103. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide ((-28)\/(-3))\/(109\/9810)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a - 3*a + a)*(3*a - 3*a + 2*a)*(-5*a - 5*a + 2*a) to the form d*a**2 + x*a + o*a**3 + j and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in -6\/545, 10, 46?\nAnswer: -6\/545","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.42 + -2.4. Let n = -2 - a. Round n to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2043612 to the power of 1\/3, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 8*s - 3. Let f = 9 - 5. Let y be (f\/6)\/(6\/54). List the prime factors of n(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 14 = -5*s, -4*s = -5*u - 2*s + 6. Suppose 8*b = -88 - 8. Let v be ((-1)\/u)\/1*b. What is the greatest common divisor of v and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**3 + 4992 - 4992.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of a**9\/16632 + a**8\/9240 + 4*a**3\/3 + 12*a. Let s(m) be the second derivative of q(m). Factor s(i).\nAnswer: 2*i**4*(i + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 793 or 19836\/25?\nAnswer: 19836\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, i: 1, x: 2, s: 3, t: 1, u: 3}. What is prob of picking 1 o and 1 x?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -20c (base 14) in base 11?\nAnswer: -338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 733*q**2 - 18*q - 16. Let f be p(-12). Is ((-2)\/(-4))\/((-15)\/f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1394 - -1317) + (1 - -63).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29176?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*g + 2. Suppose r = g*r - 20. What is the remainder when 0 + 1 + r + 3 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 643 - 25*q - 219 - 10*q - 227 - 213.\nAnswer: -35*q - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5663516112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-2) - 23\/(-2). Let g be 1530\/r - 1\/2. Let s = -87 + g. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -17, -13, 5, 43, 107, 203, 337?\n\"Answer: v**3 + v**2 - 6*v - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2722 is divided by 109.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4 + sqrt(6)\/sqrt(3) - sqrt(2))*-5 + sqrt(2) + -1 + sqrt(8) + 2 + -2)*-5)**2.\nAnswer: -3150*sqrt(2) + 11475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t + 2513 + 2508 - 5021.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -25\/4, 1\/37?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*d = 36*d + 30*d - 63. What is the nearest to d in -0.2, 3\/7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/5)\/(-1) - 9\/(-45). Suppose -5*y = 2*c - 157, -y = -c - z*y + 61. What is the highest common factor of c and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 29*k. Let w(u) = 9102*u. Calculate y(w(b)).\nAnswer: 263958*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**4 + 144542883*l**3 - 12373375*l + 3 wrt l.\nAnswer: -12*l**2 + 867257298*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2145*c + 2149*c + 20 = 0, 0 = -13*t - 2*c + 16 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/19)\/g*g**39\/g*g**(-8\/15)\/(g**35*g))**(-7) assuming g is positive.\nAnswer: g**(-1141\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109 = -4*z - 3*v + 140, -5*z - v = -25 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + r**2 + 32. Calculate the remainder when h(0) is divided by (4\/6)\/(6\/153).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 13*x**2 + 10*x + 29. Let w be v(12). Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -150.4\nAnswer: -155.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 101449558?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13220, 26427, 39634?\nAnswer: 52841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -92 + 149. Suppose 7*o + 4 = 3*o, 4*j - o - f = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1127 - 0.5873. Sort 5\/3, 2\/3, 4, d.\nAnswer: d, 2\/3, 5\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2114 + -2003?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o - 96. Let p be q(0). What is the common denominator of -107\/6 and (4\/10)\/(p\/(-945))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - r - r)*(-70*r + 228 - 225 - 12*r)*(3*r - 2*r - 2*r)*(39*r - 39*r + 18*r**2).\nAnswer: -2952*r**5 + 108*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 151455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - (-5)\/8)*(8 - 0). Suppose s - t = -0*s + 75, 0 = w*t - 10. What is the highest common factor of s and 693?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 408876*a**3 + 408895*a**3 - 817740*a**3.\nAnswer: 31*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 17, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 171721*k**3*p**2 + 2*k**2*p**2 - 1069*p**2 + 6*p + 9 wrt k.\nAnswer: 515163*k**2*p**2 + 4*k*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 + 68070*c - 340475.\nAnswer: 5*(c - 5)*(c + 13619)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1553\/9 + -173. Let j = 0.15506 - 0.15506. Which is the closest to 10\/7? (a) 1\/2 (b) j (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**3 - 9*p**2 + 5*p + 7. Let q be d(4). Let r(f) = -q*f + 57 - 57 - 2*f. Let l(v) be the second derivative of -5*v**3\/6 + v. Calculate r(l(g)).\nAnswer: 65*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*d - 4 - 85 = 0, 5*k - 3*d + 463 = 0. Let j = 175 + k. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(1\/28)\/k*k)\/(k\/(k**(3\/10)*k*k*k))*(k*(k**(-1\/27)\/k)\/k*k*k)**46 assuming k is positive.\nAnswer: k**(180049\/3780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3 - 20*i**2 + 42*i.\nAnswer: 2*i*(i - 7)*(i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 571549872, 571549873, 571549874, 571549875, 571549876?\nAnswer: 571549877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 416 and 253392.\nAnswer: 6588192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -7*t + 1. Let b(w) = 8*w - 1. Let a be (3\/6)\/(1\/(-14)). Let u(l) = a*f(l) - 6*b(l). Let h be u(3). Solve 0 = -0*m + 2*m - h for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**3 - 15*y**2 - 8*y - 6. Let x be v(8). Sort 2\/9, x, -1\/9 in decreasing order.\nAnswer: 2\/9, -1\/9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - t + 6*t + 6, -4*l + 5*t + 12 = 0. Let o be l - (8 - 5) - -84. Round o to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 761448283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*b**3 + 31*b**3 + 2*b - 2*b.\nAnswer: -80*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(-7) + 1 + 0. Suppose -6*w - 98 = -2. Let x be 15\/(-4)*w\/(-40). What is the closest to 1 in x, y, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12805123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4829, -4828, -4827, -4826?\nAnswer: -4825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52876 + 96993. What is the ten thousands digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((1\/(-2))\/(-1)). Solve 0 = -n*t + 2*f - 17 + 7, -3 = -f for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 0 + 0)*(4 + 2 - 5) + 16*g - 30*g + 0 + 3.\nAnswer: -15*g + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 46*z**2 - 48*z + 111. Let g be k(45). Let a be (2\/4)\/((-4)\/g). Solve 4*u + 0*t - t - 2 = 0, t = -u + a for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p**3 + 2*p**2 + 2*p. Let j(i) = -i**2 - i. What is 2*j(t) + q(t)?\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1499819071 and 10411.\nAnswer: 10411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0\/2 - 132\/864 and -13\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -203, 5, 329, 4, 3, 2, 18.\nAnswer: -203, 2, 3, 4, 5, 18, 329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7734 - 7717. Solve 5*y - 16*q = -z*q - 4, 4*q + 16 = 5*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 934959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 - 1275395*t.\nAnswer: -5*t*(t + 255079)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 94.91 - -0.09. Let v = 200143235.0000082 + -200143330. Let d = v + u. What is d rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 + -17. Solve 5*o + b = -11 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 852.\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*i = -5*a + 17*i + 5, -2*i = 3*a - 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-8)\/(-28))*((-2200)\/35)\/11?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 126786 and 783768.\nAnswer: 8621448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-64)\/48 - (-29)\/33 and 27\/14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o**(-10\/3)\/o*o)\/o))**21\/((o\/o**(2\/53))\/((o**(12\/11)*o)\/o)))**(-3\/2) assuming o is positive.\nAnswer: o**(-196113\/1166)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 63.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -5, 0.4, -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 5*s = -16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.539427 * 0.16.\nAnswer: -0.24630832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/33118822 and -10\/2601.\nAnswer: 298069398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 7*n + 517. Calculate the highest common divisor of n and 1269.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 4, 1\/4 in decreasing order.\nAnswer: 4, 1\/4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 5*t + 1. Let z be r(5). Suppose k + z = -5*s, 2*k + s = -s + 30. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -131.8 + 112. Let n = q + 22. Round n to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - v = -g - 71, 4*v = 4*g - 84. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-5 + -4 + (-126)\/(-12))\/(6\/206128)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 0. Suppose r = -3*a + 6*a - 12. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 + (28 - 1) - -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3111048 and -2.2.\nAnswer: -3111050.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 6*g - 2. Let x be 6\/(-9)*(7 - -2). Determine w(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003070454 rounded to seven decimal places?\nAnswer: 0.0000307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4296197?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-19)\/(-4) - 6\/(-48)*2. Calculate the greatest common divisor of 335 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -40. Does 14 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/(-4))\/(9\/(-6)). Let u(t) = -2*t**n - 2 + 157*t - 157*t. Suppose -37*o + 24 = -25*o. What is u(o)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -289873 or 2\/43?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 3:44 AM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2029767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76 by -6.\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 789737440 rounded to the nearest 100000?\nAnswer: 789700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(3\/7)\/(j*j*((j\/(j*(j**(-8)*j*j)\/j*j*j))\/j)\/j)*j**(4\/3)\/(j**(1\/5)*j) assuming j is positive.\nAnswer: j**(-466\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -29 + 1 - (-426 - -381)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a + 1 - 1 + 2 - 1. Let j(y) = -16*y**2 + 5*y + 30. Let f(x) = -j(x) - 5*l(x). What is the first derivative of f(g) wrt g?\nAnswer: 32*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, l: 5, n: 1, v: 5}. What is prob of picking 1 w and 3 l?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.162596 - -34.826904. Let v = n + -35. What is v rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 114*t**5 + t**3 + 177*t.\nAnswer: 2280*t**3 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 625716 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ivo when three letters picked without replacement from {b: 3, p: 2, i: 1, v: 1, o: 5, j: 1}.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 22 + 108 = 0. Let q = s - 5. Calculate the greatest common factor of q and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -7*p + 2. Let n(k) = 58*k - 1226. Determine n(y) + 8*o(y).\nAnswer: 2*y - 1210","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.001 (b) -0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116400 divided by 2910.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*k - 43*k - 742438 = 0. Is k a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*l + 964711 - 964301 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -0*r + 4, 560 = -4*c - 4*r. Let h = 184 + c. Is h a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1053 - -1527. What are the prime factors of l?\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-1*sqrt(88))\/sqrt(8)*6 - (sqrt(110)*-2*-2)\/(sqrt(80)\/(sqrt(8) + sqrt(24)\/sqrt(3))))**2.\nAnswer: 28*sqrt(11) + 2157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 4*h**2 + 2*h - 1. Let q be 18\/(-4) + (-10)\/4 + 2. Determine p(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4 - 18*f**3 + 15*f**2.\nAnswer: 3*f**2*(f - 5)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8465 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**3 - 4*b**3 + 2*b**3)*(3 - b - 3)*(-420 - 572 + 286 - 314).\nAnswer: -2040*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 s, 1 x, and 1 f when four letters picked without replacement from {f: 4, z: 2, x: 2, s: 1, v: 1}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-130)\/(-208))\/(4\/(-376376)) + (-2)\/8. What is q rounded to the nearest 100?\nAnswer: -58800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.1, -164.61, -5, -2\/7, -1\/13, 9?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -5*j - 32, j = -76*c + 72*c + 2 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*c**4 - 336*c**3 - 2238*c**2 + 1180*c - 150 = 0 for c.\nAnswer: -5, 1\/4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 - -307. Let j = z - 99. Suppose 0 = 3*l + 33 - j. List the prime factors of l.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**3 - 12*t**2 - 4*t - 16. Let v be x(-6). Solve -4*k - 13 = -k + 4*d, 3*k - d = -v for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -c**3\/3 - 11*c**2\/2 - 10*c - 10. Let a = -21 + 11. Let l be j(a). Solve -25 = -l*i + 5*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -54 (b) -2 (c) 14\/5 (d) 2\/3 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38110 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 13*r + 6. Let h be k(-13). Let m = 0 + h. Let f be (-12)\/(-10)*(-3)\/m. Which is the third smallest value? (a) 3 (b) -2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -4*m**3 + 6*m**2 + m + 6. Let l(a) be the first derivative of a**4\/4 - a**3\/3 - a + 11. What is i(k) + 6*l(k)?\nAnswer: 2*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b1 + -12b066?\nAnswer: -12aa75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 35692*g**4 - 606788*g**3 + 1142552*g**2 + 4996112*g - 3360 = 0.\nAnswer: -2, 6\/8923, 5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*l + 13 = -23, -2*w - l + 31 = 0. Let b(f) = -2*f**2 + 26*f + 5. Determine b(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 570\/43, -306, -2\/17 in descending order.\nAnswer: 570\/43, -2\/17, -306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**19\/p))**(7\/4)*p\/(p*p\/p**(-11)*p)*p*p\/(p*p**(-31\/4)\/p) assuming p is positive.\nAnswer: p**(-139\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -727*g - 118*g - 901*g + g in the form d*g + v and give d.\nAnswer: -1745","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 19 - (-173 + (-28 - -113) + -33).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1.1 (b) -2\/5 (c) 85 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -135 + 73 - -5 - -76.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15220 is divided by 1900?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3291829 and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 2*i**2 - 8*i. What is x(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 180619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10\/7 + -29\/35. Sort -2\/5, w, -2\/13.\nAnswer: -2\/5, -2\/13, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.9 - -6.1. Let o = -7 + i. Let y = 0.3 + -0.2. What is the second biggest value in y, -0.3, o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**3\/7 - 62534*l**2\/7 + 488843910*l\/7 - 488781378\/7 = 0.\nAnswer: 1, 15633","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.5179 rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4595*b**2 - 2297*b**2 - 2297*b**2. Let g(v) = 4*v**2 + 5*v - 5. Let s(j) = -5*j**2 - 6*j + 6. Let c(w) = -6*g(w) - 5*s(w). What is c(a(q))?\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 1 + -1 + 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 123591, 247183, 370775, 494367, 617959?\n\"Answer: 123592*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1563937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 2012220?\nAnswer: 2012222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 259 and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of t**6\/27 - 4*t**5\/45 - 7*t**4\/18 - 8*t**3\/27 - 23. Let i(m) = 0. What is m?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -203*j**3*l**3 + 3*j**3*l**2 - 3197*j**3 - 27378463*j**2*l - 2*j*l**3 wrt j.\nAnswer: -1218*l**3 + 18*l**2 - 19182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -7*m + 8. Suppose -2*l = 2*f, 0 = -m*f + 3*l - 2*l + 6. What is the highest common factor of 6 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1090 and 436.\nAnswer: 2180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -497*f**3*n**4 + 5913501*f**3*n + 9*f*n**2 - 20384*n**5 wrt n.\nAnswer: -11928*f**3*n - 1223040*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -9. Suppose 20 = 4*u + 2*y, i*y + y = 3*u - 25. Let s = 10 - u. Solve s*r - r = 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 40*p + 13. Let g(v) be the first derivative of -10*v**2 - 7*v - 1972. Determine 11*g(n) + 6*r(n).\nAnswer: 20*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 + 2 - 16*t**3 + 40*t**3 to k*t**3 + a + u*t**2 + g*t and give k.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*k - 4. Let h = -3.0588 - -2.7588. Let v = -1\/6 - 1\/3. What is the nearest to v in k, h, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 36 = -30. Let s be 0\/(3\/(k\/(-4))). Suppose -4*o + 6*o - y = 213, -3*y - 15 = s. List the prime factors of o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + h**2 - 423*h + 811. What is a(19)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 13 - 17 - 2 - 264*i.\nAnswer: -264*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 - 96. Let z = y + 74. Calculate the highest common divisor of 39 and z.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(54))\/(sqrt(192)\/sqrt(4)))**2 + -3.\nAnswer: 201\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*u**3\/7 - 58*u**2\/7 - 40*u\/7 + 24\/7.\nAnswer: -2*(u + 2)**2*(8*u - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 4*x + 844, -b - 799 = b + 5*x. Let r = 743 + b. Let j = -118 + r. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 5*t**3 - 1212 + t - t**2 - t**3 + 1211 - 5*t**3 + 2*t**3. Let v(o) = -6*o**3 + 9*o**2 - 4*o + 4. Determine -4*s(q) - v(q).\nAnswer: 2*q**3 - 5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/13892 and 61\/6342.\nAnswer: 291732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5679203809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 84\/15 - 18\/30. Suppose -f - 2*x + 226 = 0, 9*f - 7*f + h*x = 452. Is f a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -28*f**2 + f. Give c(-1).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2 + 20. Let g(t) = -199 - 2*t + 3*t + 199. Determine d(g(q)).\nAnswer: 2*q**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 143b174 (base 12) in base 2?\nAnswer: 1111011111111000101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/91 - 257\/273. Sort -4, f, -0.3, 5 in decreasing order.\nAnswer: 5, -0.3, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2267 is divided by 162.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5718 is divided by 63?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22876 = -4*z + g + 28460, 0 = 25*z + 3*g - 320776. Does 17 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + (29 - -32) - 44?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 310110202 (base 4) to base 5.\nAnswer: 23324211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.43086 from -56857.\nAnswer: -56858.43086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42758 divided by 2.\nAnswer: -21379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 129 + -130. Let x be p - 4 - (31 + -35). What is the nearest to -4\/3 in 0.5, x, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*sqrt(144) - sqrt(144))\/sqrt(6) + sqrt(24) - sqrt(24)) + sqrt(24))\/(3*sqrt(588)) + -5.\nAnswer: -5 + 5*sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 47 and 614\/13 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/11 - 568*a**2\/11 + 566*a\/11.\nAnswer: 2*a*(a - 283)*(a - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17*k + 4 + 17*k - 5*k**3 wrt k?\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*l - 962 + 976 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 12*a - 32. Let r be j(-6). Solve 0 = -l - r*l - l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + -3. What are the prime factors of (m\/(-3) + 0)*3?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5208 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1604 - -4568. Let y = 3547 - t. Let a be y\/(-60) - (-2)\/8. What is the greatest common factor of a and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64688860, -129377718, -194066576, -258755434, -323444292?\nAnswer: -388133150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 416\/5, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 353860 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 155 + -1?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 11:35 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -22, 1 in descending order.\nAnswer: 1, -4, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 3 + 29*c)*(121 + 40*c - 21*c - 15*c) to the form s*c + r + t*c**2 and give s.\nAnswer: 3505","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 102cb0 (base 13) in base 2?\nAnswer: 1011100010000000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*j**4 + 9761*j**3 - 2*j**2 - 479403*j wrt j?\nAnswer: 36*j**2 + 58566*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 10*p - 86. Determine b(16).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + g - 1. Suppose -3*f + 4*z = -22, 2*f - 4*z - 2 - 18 = 0. Suppose 4*k = -2*t + f, -2*k + 9 = k + 3*t. Does 5 divide r(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*n**2 - 609*n + 3*n**4 + 60*n**3 + 9408 + 22*n**2 - 35*n**2 - 425*n - 2326*n = 0.\nAnswer: -14, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*b - 388 - 2121 = -247 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + 10*s. Let t be w(5). Suppose 20*l - t*l = -100. Suppose -k - n + 531 = 0, l = -2*n - 3*n. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 1\/3, -1\/12, 0, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**3 + 3*g**2 + 11*g + 5. What are the prime factors of z(-4)?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*v**3*z + v**3 + 56*v**2*z + 5*z wrt v.\nAnswer: 84*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 - -213?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(176) - (sqrt(176)*-2 + 0)) + sqrt(176) - (sqrt(176)*-2 + 5))*6 + 1)**2.\nAnswer: -8352*sqrt(11) + 228937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20376 = 1382*m - 533*m for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 169*r**2 - 56*r**2 - 115*r**2 + 2290*r + 7212*r to the form h*r**2 + f*r + j and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -1. Let j = -10.6 + -38.4. Let h = j - -54. Which is the closest to -0.1? (a) f (b) 1\/2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*g + 216 = 8*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24329532?\nAnswer: 2, 3, 2027461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 6*o**2 + 4*o. Let m be a(-5). Let y = -1 + -2. Let p = m + y. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120405 is divided by 36730.\nAnswer: 10215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5*q**2 - 4*q + 7. Let c(o) be the second derivative of o**4\/6 - 101*o. Let t(g) = -b(g) - 2*c(g). Determine t(-8).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16a (base 15) to base 3.\nAnswer: -110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1300 - 1?\nAnswer: 1266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u + 25. Is 6 a factor of s(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -851*k - 4782*k + 144369 - 282750 - 554478 = 0 for k.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1492\/16107 - -2\/767. Let a = -153.9 + 154. What is the third biggest value in u, 6, a, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 24278, 48536, 72784, 97022?\n\"Answer: -5*f**2 + 24273*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 401020.5mg to kilograms.\nAnswer: 0.4010205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 588 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 29?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 4*a**2 + 12*a - 12. Let i be x(-6). Suppose z - 1 = k, -6*k - 35 = -3*k + 5*z. Let r(g) = 2*g - 1. Let c be r(k). Which is smaller: i or c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**15*r)\/(r**(-2\/19)\/r) assuming r is positive.\nAnswer: r**(325\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -31b + 24?\nAnswer: -2f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81455454.\nAnswer: 2, 3, 4525303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/9)\/((-2)\/27). Suppose w + u = 4*w. Suppose w*o - 23 - 1 = 0. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/8)\/(-4*(-6)\/1104). Suppose -9*h + x = -32*h. Suppose 3*k + 6 = -3. Put k, h, 11 in descending order.\nAnswer: 11, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -22*j**3 + 4*j**2 + 6. Let n(h) = 66*h**3 - 13*h**2 - 16. Determine -11*c(a) - 4*n(a).\nAnswer: -22*a**3 + 8*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 64557960 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*m = 3*a + 18, -5*m = a + 20. Let c = -4 - a. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63238.\nAnswer: 2, 7, 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 61\/5654699 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -321 + -5?\nAnswer: -326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1284 divided by 2\nAnswer: -642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 19397, 77571, 174527, 310265, 484785?\n\"Answer: 19391*d**2 + d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n**2. Let o(k) = -970*k**2. Determine o(s(u)).\nAnswer: -15520*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -7*x**2\/2 - 5*x + 1. Let w(g) be the second derivative of 4*g**3 + 9*g**2 + 24*g. Calculate -18*s(d) - 5*w(d).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (64*b**2 + 300 - 300)*(43*b**3 - 30*b**3 + 26*b**3).\nAnswer: 2496*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51202 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23573, 46894, 70215, 93536, 116857?\nAnswer: 140178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)*2*-4 + sqrt(39) + sqrt(624) + -5*sqrt(624))\/((sqrt(243)*2 + sqrt(243))*-5 - (sqrt(243) - -5*-2*sqrt(243))).\nAnswer: 23*sqrt(13)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 10, s: 5, f: 1, r: 4}. Give prob of sequence ss.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 - 69*s**2 - 63*s**2 - 2*s**3 + 3 + 31*s**2.\nAnswer: -2*s**3 - 98*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -1519.\nAnswer: -2\/1519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*n - 2*l = 42*n - 50, -5*n - 2*l = -226. Let z = 202192\/4555 + 10\/911. Let j = z - n. What is the second smallest value in 1, 0.2, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f + 1. Let r(l) = -l**3 - 5*l**2 - l + 23. Let k be r(-5). Let m(s) = -21 + k - 8. Determine -2*m(y) - v(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a*h**4 - a*h**2 + a*h + 2*a + 5973643*h**2 - 42*h - 10 wrt h?\nAnswer: 12*a*h**2 - 2*a + 11947286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirteen quarters of a tonne?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*b**5 - 2125*b**3 - 374594*b**2.\nAnswer: -1260*b**2 - 12750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 3 = z, -5*z = -2*x + 74. Suppose -3*o + 55 = 5*g, -x - 43 = -5*o - 5*g. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.15 - 0.15. Let n = 5 - o. Sort 5, n, 2\/9 in increasing order.\nAnswer: 2\/9, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**3\/6 - 391*d**2\/3 - 152279*d\/6 + 76531\/3 = 0.\nAnswer: -406, -377, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 8*l**2 - 9*l - 4. Suppose n - 4*b = -11, -n + 4*b = -3*n + 14. Let z be 1\/n*(-128)\/16. What is the lowest common multiple of j(z) and 2?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, w: 2, n: 1, b: 4, m: 1}. What is prob of sequence nbbj?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55\/3 - 19. Let v(o) = -6*o**3 + 67*o**2 - 10*o - 12. Let m be v(11). Which is the third smallest value? (a) 3 (b) m (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of t**4\/24 + t**3\/3 - 3*t**2 + 6*t. Let a(j) = j + 1. What is 6*a(o) - 5*s(o)?\nAnswer: o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 169 - 73. Suppose 0 = -3*u - 9*u + j. What is the third derivative of 0*f**3 - 4*f**2 - 11*f**3 + u*f**2 wrt f?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (15 - -1) - 6.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 4*s**2 - 2*s + 10. What is the smallest common multiple of h(9) and 4?\nAnswer: 1588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4356) - sqrt(4356)*-1 - sqrt(4356))*1 - (sqrt(4356) - (sqrt(4356) + -2*sqrt(4356))*-6))\/(sqrt(72)\/(sqrt(726)*4)*6).\nAnswer: 484*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2439671 is divided by 105.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-11)\/4)\/((-5)\/20). Suppose 7 = 4*r - v - g, 0 = -5*r - 3*v + 14. Solve 4*n + 5*a = 23, -r*n + 3*a = 2*a - 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 10\/21, 1\/3, -5, -2\/7, 17 in descending order.\nAnswer: 17, 10\/21, 1\/3, 1\/6, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3127 - 3124. Let g be (-2)\/1 + 4 - -3. Suppose 0*k + 15 = g*k. Is o <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7630 + 7629. What is the third biggest value in -0.3, 9, h, 0.9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -216, -3, 3, 5 in descending order.\nAnswer: 5, 3, -3, -216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 933 is divided by 83?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 121.888 - -2.122. Let g = -124 + u. Let s(m) = -4*m. Let h be s(1). Which is the nearest to 1? (a) -0.2 (b) g (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 658, 658, 660, 664, 670?\nAnswer: 678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/72)\/(10\/(-80))*(-10)\/(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28665.\nAnswer: 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -396258 divided by -198129?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 10 = -2. Let g(j) be the first derivative of -2 + 0*j**2 - 2\/5*j**5 - j + 0*j**3 + 0*j**t. Differentiate g(w) with respect to w.\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 4 - 16. Suppose a*n = -n. Suppose 4*s + 4 = -n. Let g(h) = -h**3 + 2*h + 1. Calculate g(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 1182 = 4*t, 0 = -2*t + 5*h + 952 - 370. Let k = 675 - t. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9018522 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 + -21. Solve 3*j + 2*b + 2 = s*j, -3*b + 7 = -4*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/333 and 89\/45?\nAnswer: 1665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-1)\/(-54)*(989\/23)\/430*-8).\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242 is divided by 26.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f**2 + 239*f + 1110. Calculate y(84).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1489*j**4 + 196*j**3 + 197865*j + 8 wrt j?\nAnswer: -17868*j**2 + 1176*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31775 and 4920.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -1. Suppose 8 + 0 = 4*y. Calculate the remainder when p is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 3*c**2 - 3*c. Let j be n(-2). Suppose 29 = 7*y - 4*y + 4*b, 4*b - 26 = -j*y. Solve -r - y = -0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/80877 and -21\/4.\nAnswer: 323508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-43)*(-41)\/(-2952)*18\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -12214807, -12214806, -12214805, -12214804?\n\"Answer: r - 12214808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11201010012212 (base 3) to base 8.\nAnswer: 11426706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2448) + -1*sqrt(425))*1.\nAnswer: 19*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (13 + -16 - (2 + -41 + 6)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1338282 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3152 - 3163.1. Which is the third biggest value? (a) 5 (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v**2. Let t(g) = -g**2 + g. Let p(c) = -2*c**2 + 3*c. Let f(r) = p(r) - 3*t(r). Calculate f(a(d)).\nAnswer: 16*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (262*x + 263*x - 3 - 515*x)*(2 + 0 + 3) as s + a*x and give s.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*p + 5*o - 22, 5 = 5*p - 2*o. Suppose -4*i - 5*y + 247 = 0, -i + p*y + 51 = 2. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 222011202 (base 3) to base 15\nAnswer: 59c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 + 448\/24)*(-2)\/15.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2527*i - 17679. Let v be q(-7). Solve -4*o - 4*n + v = o, n = 2*o + 9 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3626*n**3 - 63*n**2 + 63*n - 63. Let j(k) = -117*k**3 - 2*k**2 + 2*k - 2. Calculate -126*j(t) + 4*r(t).\nAnswer: 238*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 + 71 - 31 = -8*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 + -5. Suppose 68*u + 72 = 76*u. What is the remainder when 4 - (u + (-518)\/7) is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 11:24 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 5*u**2 - 74645*u + 149270 = 0.\nAnswer: 2, 14927","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 131, 126, 133, 152, 183?\n\"Answer: 6*p**2 - 23*p + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 + 50563 - -14)\/(1 - 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + 6 + (-1 - 1). Let o(n) be the first derivative of -n**4\/4 + 7*n**3\/3 - 5*n**2\/2 - 10*n - 5. Let k be o(6). Sort q, k, 0 in decreasing order.\nAnswer: q, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 331545 and 83145.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -832, -1 in decreasing order.\nAnswer: 5, -1, -5, -832","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 3*r - 19 = 2*r, 18 = 2*z - 5*r for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.6 - 2.3. Let w = -1.53 + 0.53. What is the third biggest value in w, -3, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 129*k - 1581. Is s(34) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3a0 + -169?\nAnswer: -559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27578 - 6788 = 234*c + 320*c + 216*c for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14092 divided by 7046.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 319 a factor of 550640251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 189799 - 13266. Is q 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 126976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15562921*15.\nAnswer: -233443815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -72.7 + -2.3. Let h = b + 75.0165. What is h rounded to three dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**2 - 10833030*b + 29338634745225 = 0?\nAnswer: 5416515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -13, -8, -6516.\nAnswer: -6516, -13, -8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + t - 5. Let c be y(0). Let m(x) = -110 - 13*x + 78 + 39. What are the prime factors of m(c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19236572 less than -0.6?\nAnswer: 19236571.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 - -55.2. Let u = -10.5 - q. Let g = u - 10.3. Sort -1\/8, g, 0.5.\nAnswer: g, -1\/8, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24382.3 * 4.\nAnswer: 97529.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -c + 0*c + 2*c**2 + 12 + 2 + (1 - 3 + 0)*(-2*c**2 - 3*c + 3*c) in the form p*c**2 + b + v*c and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9199970881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(99)*-2 + sqrt(99))\/(sqrt(77)\/sqrt(28) - sqrt(11)))\/(3*sqrt(21)\/sqrt(7) + sqrt(243)*-1).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 795.7 + -740. Let h = v - 55.8. Let o be (-12)\/20 - (-4)\/10. Which is the fourth smallest value? (a) -11\/3 (b) h (c) -0.3 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2 - r + 5431 - 10832 + 5401. Let w(b) = 3*b**2 + b. Let c = -7 - -2. Determine c*m(f) - 3*w(f).\nAnswer: f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13892 - -13892. Let z = 57\/2 - 393\/14. Which is the nearest to r? (a) z (b) 7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1177270 to the nearest ten thousand.\nAnswer: 1180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 26 - 39 + 54 - 25*u.\nAnswer: -25*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of m**2 + 0 + 1\/36*m**4 - 1\/1080*m**6 - 1\/3*m**3 - 1\/360*m**5 + 0*m. Let z(w) be the first derivative of x(w). Factor z(p).\nAnswer: -(p - 1)*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52 or -92?\nAnswer: -92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -699296\/93 + 7519. Calculate the common denominator of b and 63\/5.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 139 - 113. Suppose 3*a + 5*d - n = 0, 3*d + 11 = 4*a + 15. Solve -5*y - 4*w - 47 + 12 = 0, -2*w - 16 = a*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10a + -41?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -1. Let r(w) = 3*w + 3. Determine 2*f(j) + r(j).\nAnswer: 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -3237168120 to the nearest one hundred thousand.\nAnswer: -3237200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1993 and 707.\nAnswer: 1409051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -17.05. Let w = i - 0.05. Let j be (4\/(-50))\/((-1)\/(-5)). Which is bigger: j or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 2:16 AM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = s, 5*s - 5*n = 7*s. Let g(q) = 4 - q**2 + s - 7*q**3 - 3 + 9*q**3. Calculate g(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o. Let s(u) = 584932292*u**2. Determine i(s(w)).\nAnswer: 584932292*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, v: 1, p: 3, a: 1, x: 2}. Give prob of sequence eepa.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (12 - ((-4)\/(-6)*3)\/(926\/51393))?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a1757 + 70?\nAnswer: -a16b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of 0 - 2*g**2 - 1\/10*g**5 + 0*g + 1\/120*g**6 + 5\/24*g**4 + 7\/6*g**3. Let m be x(5). Solve -m*t = -2*t - 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -11*p**4\/4 + 53*p**2. Let y(r) = -r. Determine y(x(u)).\nAnswer: 66*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 43*n - 36. Give c(-45).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-8)*(0 - 1). Let h = -34.1 + 33. Let d = h + 1.6. Which is the closest to r? (a) 0.2 (b) 5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 1107*a - 22 = 1106*a - 9, -3*d - 8*a + 26 = 0 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -3. Suppose 3*l - 5*r = 1 - 27, -3*r + t = 5*l. Which is the third biggest value? (a) 1\/5 (b) 1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3.29 and -0.2.\nAnswer: -3.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.09, -3, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - (1 + -4)) + 2. Suppose -3*n + 132 = o*s, -4*s + n = -2*s - 116. Calculate the greatest common divisor of s and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2133 is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5 - -0.1. Let t = 1 + -5. Put t, -1\/13, v, 7 in increasing order.\nAnswer: t, v, -1\/13, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*o - o = -4, -2*k = -4*o - 4. Which is the nearest to k? (a) -0.8 (b) -0.4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5134771 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210201 + -2?\nAnswer: 210122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u + 2. Let p be f(-5). Let g be ((-6)\/p - -1)*(-1 - -1). Sort 3, -3, g, 4 in descending order.\nAnswer: 4, 3, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1915*t - 48251 - 6375 = 60274 for t.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 42\/17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -112, -158, -204?\n\"Answer: -46*u - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 11*f**2 + 11*f - 20. Let h be g(-12). Let x be (7 + h)*2\/(-9). Factor 2\/9*j**2 + 0*j - x.\nAnswer: 2*(j - 1)*(j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 12 - (87 - -6). Let s = n + 390. Calculate the highest common divisor of s and 510.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14868 - -2676?\nAnswer: -12192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 711387.95 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 130.8 - 140. Let n = -413.23 - a. Let p = -407 - n. What is p rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 39\/(-6) - -3 - -3 - 15775\/(-50). Calculate the highest common divisor of 261 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -3 + -1 + -8 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 * 245.27.\nAnswer: 2.4527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000321 to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 80378 to the power of 1\/2, to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1553, 12595, 42587, 101009, 197341?\n\"Answer: 1580*q**3 - 5*q**2 - 3*q - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - 28 - (-2 - 19) - (87 - 160).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 5:59 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1862 = 3*f - 3*r - 1865, -f - 2 = -2*r for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vvvvvvvvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -19*d - 24. Calculate the remainder when b(-3) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-1365)*-60*((-1755)\/414)\/(-5)?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**3 + 49*c**2 + 6100*c - 141897. Give f(23).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of 25*d**4\/12 - 1260*d**3 - 7585*d**2\/2 + 6129*d. Factor m(l).\nAnswer: 5*(l + 1)*(5*l - 1517)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*r = -m, -r - 6 = 3*m. Which is the nearest to -0.1? (a) m (b) 1\/10 (c) 2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from viwlp. What is prob of picking 1 i, 1 w, and 1 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*p - 1 + (3 + 0 - 1)*(0 + 0 - 2*p) + 3*p - 4 + 4)*(-66*p - 104*p + 97*p).\nAnswer: -73*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -5, -4 in increasing order.\nAnswer: -10, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 19556, -1 in decreasing order.\nAnswer: 19556, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*27.434.\nAnswer: -10.9736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 27*o - 42. Let l be f(-29). Is l\/72 - (-293457)\/27 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -3*c**5 - 509*c**4\/2 - 11003*c**3\/2 - 4368*c**2 + 882*c = 0.\nAnswer: -42, -1, 0, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6600348, -6600326, -6600304, -6600282?\nAnswer: -6600260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 270 and 450.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c + 1280*c**2 + 858*c**2 - 1609*c**2 to the form v*c**2 + g*c + d and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*z + 634 = 15, -4*z = -20. What is the remainder when i is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57 - 110. Let w = d - -97. Let j be (-18)\/16*w\/(-33). Which is the third biggest value? (a) j (b) 0.4 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*n - 19*n - 48 = 0. Solve -2 = -n*x + 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, u: 2}. Give prob of sequence juu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**3 + 75*q**2 - 85*q - 817. What is g(36)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3710*t*z**3 - 731*t - z**3 - 4*z**2 + 1 wrt z?\nAnswer: 22260*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1720700 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00232193496 to 7 decimal places.\nAnswer: 0.0023219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 861*2.6.\nAnswer: 2238.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/60*(1\/(-2))\/(12\/90).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3264844 a multiple of 1500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4653563, 9307163, 13960763, 18614363, 23267963, 27921563?\nAnswer: 32575163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -1327?\nAnswer: 1326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*1*(1 + (sqrt(8)*-1)**2).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 1228 = -3*q, 3*t - 817 = -q + 3*q. Is -401 >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3*i = 6, 4*j - 1717 = -i - 1694. Which is the third smallest value? (a) -87 (b) j (c) -2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/24 + 21\/4. Suppose -y - 4*z = 2*y + 17, 0 = 4*y - 3*z + k. Let t be 3\/(-9) - y\/15. Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 7*h - 25. Give y(-12).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(117) + -2*sqrt(117)*2 + sqrt(117)))\/(3*sqrt(81) - 5*sqrt(144)).\nAnswer: 12*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 10. Calculate the lowest common multiple of b - 1\/(4\/(-8)) and ((-312)\/54 - -6) + 79\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8402 (base 9) to base 6\nAnswer: 44302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -15180?\nAnswer: -1\/7590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -459 + 460. Are k and -0.89 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 178 - -918. What are the prime factors of n?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-94)\/(-5) - (-6)\/30. Let f = -79 + 98. Let r = f - c. Solve -z + r*z + g = -5, -g = z - 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 360 + 193014?\nAnswer: 193374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94 divided by 31.\nAnswer: 94\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*g*t**3 + 2*g*t - t**5 + 18*t**2 - 4*t wrt t.\nAnswer: 36*g - 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j + 2*w + 17, 7*w = -462*j - 5*w + 7*w + 3209 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-18)*(-1 + -1). Let m = 55.8 - 56. Which is the closest to m? (a) x (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -d + 4, -u = -4*d - 4 + 20. Calculate the remainder when (-772)\/(-9) + (-8)\/(-36) is divided by d*((-76)\/(-16) - 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 2*p - 1\/3*p**3 + 1 - p**2 + 1\/4*p**4. Is g(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -16 - (3 + -2 + 2). Let g = q + 23. Solve 0 = -2*b + 3*b + g for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wiww. What is prob of sequence ww?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 27*u - 48 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11956*c - 9 + 9 - 11959*c to the form m + y*c and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, z: 4, q: 8, t: 1}. Give prob of sequence qt.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5552027, -11103865, -16655703, -22207541, -27759379?\n\"Answer: -5551838*b - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a decade?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.184 + 0.1839524. Round c to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 1:41 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10112 + 19367. Let n = b - 19255. Let u be (n\/(-3))\/(30595\/(-7650) + 4). Round u to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of v**9\/15120 + v**5\/40 - v**4\/4 - 3*v. Let f(u) be the third derivative of c(u). What is the derivative of f(j) wrt j?\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 - 27 + 8*u**3 - 141*u**2 + 115*u + 20*u**3 - u**4 - 33*u + 57*u**2.\nAnswer: -(u - 27)*(u - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-393)\/(544698\/660))\/((-10)\/6).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/42)\/(((-106)\/(-4081))\/((-15)\/((-105)\/14)))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.3? (a) -8 (b) 4\/5 (c) -2\/19 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -6*s**3 + 4*s**2 + 3*s - 1. Let w be x(-1). Solve 2*q - 8 = w*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 102 and 153.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5\/34 + -21\/374. Let u = w + 31\/22. Let x be (-12)\/(-75)*10\/12. What is the second smallest value in u, 2\/9, x?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28 - (11 - -10)) + 65*(-60)\/556.\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -1229, -5, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -6.3. Let n be 2 + (-11)\/5 - ((-168)\/105 + 1). Which is the second biggest value? (a) 3\/2 (b) -4 (c) n (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -710 less than 14070?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen thirds of a year?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 2*t = 24 - 30, -6 = -2*k + 4*t for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -10. Suppose -2*p = -p + d. Let a(b) be the third derivative of -b**5\/60 - b**4\/8 + b**3\/2 - 13*b**2. Determine a(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**4 + 3*i**2 - 3*i**2 + (-1068 + 1068 - 112*i**3)*(5*i - 5*i + 4*i) as o + g*i**3 + x*i**2 + z*i + k*i**4 and give k.\nAnswer: -446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2176 and 507305024?\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 41*m + 697. Determine z(-21).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 71143903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**3*r**2 + 175*d**2*k*r**2 + 3*d**2*k*r + 2*d*k*r - d*r - 2*k*r**2 + 83*k wrt d.\nAnswer: 12*d*r**2 + 350*k*r**2 + 6*k*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.82 and 6.617.\nAnswer: 5.797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/143 - -135\/572. Which is the second biggest value? (a) k (b) 3 (c) -1 (d) 10\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 6 = 4*h, 5*k = 14 - 4. Put 4, -1, h, -6 in descending order.\nAnswer: 4, h, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 6. Let j be k(0). Suppose -p - 10 = -j*p. Solve p*l + 0*t = 2*t, 3*l + 5*t + 32 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a week in seconds?\nAnswer: 20160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -9 + (3 + -8 - -2) - 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 8*b**2 - 6*b - 4. Let u be s(7). Put u, -6, 4 in increasing order.\nAnswer: -6, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 - 1 + 4)*(0 - 2*v + 0) + 1 - 2*v - 1)*(-3*v**2 - v**2 + 5*v**2).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 460 + -229. Suppose -i*m = -212*m - 1387. Is m a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 968*i - 980*i = -36. Suppose 2*l - 3 - 5 = 0. Solve l*h = -u - 18, u - i = 2*h + 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rg when two letters picked without replacement from gmmmmmrmmmm.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3922 a factor of 58834113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i - 5. Determine k(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23623.\nAnswer: 23623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, -0.0017, 11?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 445444 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44)\/(-10))\/((-10*(-18)\/(-300))\/(27\/(-36))).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5444?\nAnswer: 2, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4054276?\nAnswer: 2, 1013569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 take away 1158976798?\nAnswer: -1158976798.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-25)\/(-4) - (-19)\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-8) - -2)\/((-50055)\/880968).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8938283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**4 - 2*q**4 + q**5 + (3*q - 2*q + 0*q)*(8*q**4 - 3*q**4 - 3*q**4) + (3*q + 57 + 55 - 111)*(-4*q**3 + 4*q**3 - 2*q**3)*(-2*q - 3 + 3).\nAnswer: 15*q**5 + 4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.7094 + 0.2094. Put u, -0.04, -5, 2\/19 in ascending order.\nAnswer: -5, u, -0.04, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39022600 rounded to the nearest 1000000?\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**3 + 15*u**2 + 20*u - 6. Let n be o(8). What is the highest common factor of 2790 and n?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11761 - 11741. Solve 4*t + 12 = 4*j, 4*j + 3 + r = -3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 3731?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence agkk when four letters picked without replacement from ppdppapkppkkpdapgpp.\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16 + -13?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 5*x**2 - 35*x + 32. Give k(13).\nAnswer: 422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 47651245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -40500 rounded to the nearest 1000?\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((p + p + 0*p)*(-1 + 7 - 3) + (-3*p - 2*p + 6*p)*(3 - 3 + 2))*(2*p**3 - 2*p**3 + p**3).\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13 - 0?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/310 - (2 - (-1066)\/(-686)) and -77\/2.\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -1\/469, -2, -3?\nAnswer: -1\/469","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -14477\/42599 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9014372 divided by 4.\nAnswer: 2253593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 22 = 2*k, -k - 29 = s + 4*k. Calculate the remainder when 5 + s - (-1 - -1) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2111012406 - -2?\nAnswer: -2111012404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 10:20 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-100)\/24)\/25*1.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 491 + -284. What is the first derivative of -p - 1320*y + 69 + 1242*y wrt y?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 4)*(-3*l + 4*l - 3*l)*((-6 + 4 + 1)*(-5*l + 4*l - 5*l) + 32*l - 67*l + 33*l)*(-4*l**3 + 5*l**3 - 2*l**3).\nAnswer: -16*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 5*q - 4*q + 1 + 6 + 0. Let o be r(-3). Suppose k = l + 128, -k - o*k = -3*l - 636. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 989 and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, a: 1, d: 2, g: 1}. Give prob of picking 1 g and 1 d.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (115\/(-5))\/(38\/(-1026)*-27).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 661488302?\nAnswer: 2, 2039, 162209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2784 < 125552?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * 0.297.\nAnswer: 2.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 5:29 AM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence axk when three letters picked without replacement from {x: 3, k: 3, a: 2, y: 1, v: 6}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4048*o - 4048*o - 12*o**3.\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 + (4 + 25 - -35)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*t = 25, 4*t = 2*f + f - 31. Which is the third smallest value? (a) 3 (b) f (c) -3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -160, 115, 566, 1193?\n\"Answer: 88*n**2 + 11*n - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -6 + 0*i - 3 - 2*i. Let p be h(-7). Let x(r) = -3*r**2 - 4. Let j(m) = -5*m**2 - m - 7. Let g(z) = -4*j(z) + 7*x(z). Determine g(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 f when two letters picked without replacement from efcffeeecfecfeffeff?\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 154608531 and -25886.\nAnswer: 154582645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9.6, 0.3, 4\/69, 1\/8, -8\/3, -5 in descending order.\nAnswer: 9.6, 0.3, 1\/8, 4\/69, -8\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3656 - 5995. Let z = 6540 + w. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1*sqrt(1216) + 4 - (1 + sqrt(1216))**2*-6).\nAnswer: 88*sqrt(19) + 7301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 161\/234 and 77\/1588704?\nAnswer: 4766112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -14, -6, 4, 1\/7, -2\/63?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + 57\/21 + (-133)\/49. Put v, 2, 12 in decreasing order.\nAnswer: 12, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4)*w*w**(3\/4))\/(w**10\/w**(2\/27)) assuming w is positive.\nAnswer: w**(-1315\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.09 and -1.5816.\nAnswer: -1.6716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19773 less than 19763?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 6 = 15*v. Let l be (5\/(-5))\/(v\/((-18)\/(-519))). Let x = 183\/865 - l. What is the third smallest value in 4, x, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 5*d = -1485. Suppose 0*i + d = 5*i. What is the second derivative of -8*t + 3*t**3 - i*t**2 - 28*t**3 + 33*t**2 wrt t?\nAnswer: -150*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -978\/11 - -89. Let i = 3256 - 3252. Which is the third smallest value? (a) i (b) v (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18294143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2. Let t(z) = -14*z + 1. Let d(o) = -14*o + 2. Let p(m) = 6*d(m) - 7*t(m). Let r(w) = -69*w - 24. Let g(f) = 24*p(f) + 5*r(f). Calculate x(g(h)).\nAnswer: 81*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -242, -472, -702?\n\"Answer: -230*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*n - 75. Let z(d) = d**3 - d**2 - d. Let o be z(0). Suppose o = 6*g - g - n. Calculate the least common multiple of 7 and g.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y**2 + 0 + 2*y**2 - 1 - 28*y**2 to the form a*y + t + d*y**2 and give d.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27668472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1361\/4 - -340. What is the second biggest value in -0.5, 34, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -16 (c) -183\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - j - 52556 = 0, -20843 + 3328 = -d + 4*j. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1135672?\nAnswer: 2, 141959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 118 (c) -2\/71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (10*1)\/2. Suppose o = -3*x + 118, -o + 36 = x + o. What is the units digit of x\/18 - m\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/3 + 706064*f - 373894779072.\nAnswer: -(f - 1059096)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3535216 (base 8) to base 4.\nAnswer: -3223222032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((159*i - 74*i - 74*i)*(-2*i + 4*i - i) + 8*i - 8*i + 6*i**2)*(-11*i**2 - 8*i**2 + 5*i**2) to the form g + w*i + a*i**4 + p*i**2 + b*i**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*d - 9*d - 1905*d**2 - 2*d + 8*d - 1478*d**2 as j*d**2 + m + u*d and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 2. Let t be j(-2). Suppose 5*h + 4*l + 4 = 0, -2 = -2*h - 3*h + 2*l. Let h*f**2 + f**t + 0*f + f = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -620284 (base 10) in base 4?\nAnswer: -2113123330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 11:19 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*a - 121*a + 12*a - 306*a to the form f*a + l and give f.\nAnswer: -467","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*w**2 + 110*w - 29 + 67 - 112*w)*(6*w - 2 + 2) as h + l*w**3 + f*w + z*w**2 and give f.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/(sqrt(162)*4).\nAnswer: sqrt(13)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 725 is divided by 104.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*o = -21378 + 21758 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -175, -347, -509, -655, -779, -875, -937, -959?\n\"Answer: z**3 - z**2 - 176*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 7763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/28 + 2\/(-7). What is the nearest to -1 in 2, -1, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 9 + 1 = 0. Let j(t) be the first derivative of 0*t**b + 0*t**4 + 0*t**3 - 7*t + 7\/5*t**5 + 3. What is the first derivative of j(c) wrt c?\nAnswer: 28*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 856395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19765387 and 44?\nAnswer: 869677028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z**2 + 3 - 3 + 2 - 2*z as n + f*z + p*z**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of h**4\/8 - h**2\/2 + 4*h - 5. Let b(t) be the first derivative of s(t). Let f(n) be the first derivative of b(n). What is f(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 482059129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 29*i + 9. Let n be z(7). Sort 2, -4, n in descending order.\nAnswer: n, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -s + 12, -2*v - 5*s - 8 = -0*v. Let x = -0.4 + -0.1. Let h = 1925.7 + -1926.7. Which is the smallest value? (a) x (b) h (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) + 4*(sqrt(114) + sqrt(114)*1) + sqrt(114))\/(-2*sqrt(96)).\nAnswer: -5*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 214859.466 nanoseconds to days.\nAnswer: 0.000000002486799375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*z + 25 = 2*i, i - 5 = -z. Let x be ((-4)\/6)\/(i\/(-375)). What is the third derivative of 14*o**6 - 3*o**2 - 11*o**2 - x*o**6 wrt o?\nAnswer: -1320*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6400 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 0 + (sqrt(468) - (sqrt(468) + 1)) + -1)**2 + -5.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9025771 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 4*y + 1. Let j be x(-9). Calculate the greatest common factor of j and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 + -22. Which is bigger: -4\/17 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of 0*s**3 + 0 + 4*s + 1\/2*s**2 + 1\/2*s**4. What is the first derivative of r(h) wrt h?\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.468329 and 1.428929.\nAnswer: 0.9606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -34451000 to the nearest one hundred thousand.\nAnswer: -34500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 4\/7*v**2 - 8 + 20\/7*v = 0.\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 490995, 490850, 490705, 490560?\nAnswer: 490415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 601412926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21397568 divided by -58304.\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 392 = 67*w - 10 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -5*d**3\/2 + 42*d - 19. Let z(a) be the first derivative of m(a). Let x(h) = -2*h**2. What is x(z(p))?\nAnswer: -450*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.00575258*-0.02.\nAnswer: 0.0001150516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 2 - (-1 + 1). Let f be (1\/1)\/(q\/4). Suppose -i - 109 = -f*a, 5*a + 5*i - 306 = -56. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -160 - -74. Let u = -807836770 + 807836856.0000067. Let m = a + u. Round m to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -25 (b) 0.8 (c) 3\/274 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25452210 is divided by 4380.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 331*g + 685*g + 1246*g + 2810*g + 2203*g in the form x + u*g and give u.\nAnswer: 7275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 - 24. Let c(l) = l**2 - 11*l - 12. Let w be c(n). Solve w*a + 1 = a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of w**5\/20 - 2*w**4\/3 + 3*w**3\/2 - w. List the prime factors of h(7).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 84 + 1638*t - 94 + 2 in the form v*t + b and give v.\nAnswer: 1638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -807 + 807 + 51*d - 1054*d**3 - 50*d - 160*d**3 in the form t*d**3 + b + x*d + h*d**2 and give t.\nAnswer: -1214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/20 and 39\/76.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -701\/4 - -175. Which is the third biggest value? (a) -0.4 (b) -0.08 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*m - m - 218 + 110 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 104\/1107 - 150481\/340956. What is the common denominator of t and 50\/(-16) - (-2 - 1)?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40.7 * -90.\nAnswer: -3663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 68\/(-104) + -2 + 20\/8?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -7 - 725546*v**2 + 31*v + 725544*v**2 + 2. Let r be (-62)\/(-4) + (-1)\/2. Let f be k(r). Solve 5*c + 5*b + f = 6*b, 0 = 3*c - b + 8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 9:51 AM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1888, 7398, 16532, 29290, 45672, 65678, 89308?\nAnswer: 116562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, y: 1, n: 2, g: 1, m: 4}. Give prob of picking 1 g and 2 n.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(18) + 0 + -3)**2 - (-2 + sqrt(2)*3 + -4 + sqrt(10)\/sqrt(5)).\nAnswer: -22*sqrt(2) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*b + 4514*b**2 + 119*b - 14069*b**2.\nAnswer: -9555*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100 (base 10) in base 14?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2634577 = -261*l + 3646127. Calculate the highest common factor of l and 188.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 19*r**2 + 29*r + 84. Let a be t(17). Which is smaller: 3\/257 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8 - ((-3)\/(-1) - 4). Let k = q - 7. Suppose 0 = -6*y + k*y + 68. List the prime factors of y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39.1 - 37. Let x = 2.6 - f. Suppose 4*i - 25 = -4*r - i, 2*r = 2*i + 8. Which is the third biggest value? (a) -2 (b) r (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*t**3 + 2 + (2*t**2 - t + t)*(-3*t + t + 3*t) + 26*t - 26*t + 159*t**3 - t**3 - t**3 + 3*t**3 + 0*t**3 + 4*t**3 + 3*t**3.\nAnswer: 171*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 553\/(-13) - 26936\/(-50024)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52 - -55) + -2 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*g + 2*v + 14 = 74*g, 4*g = -4*v - 24 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77690 and 1045160.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12107743.\nAnswer: 2591, 4673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 + 74. Let x = -7 + f. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 0 - 5*b + 9\/2*b**2 + 5\/6*b**3. What is the units digit of u(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 2*l**2 - 3*l + 1. Let h(k) = -k**3 + 2*k**2 - 9*k + 165. Give h(u) - 3*q(u).\nAnswer: 2*u**3 - 4*u**2 + 162","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -33. Let z = -12 - i. Solve 2*f - 2*t + 14 = 0, -3*f - z*t + 9 = -t for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15\/17 + 79\/51. Find n such that -2\/3 + o*n**3 - 2\/3*n + 2\/3*n**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/((t*t\/t**(-1))\/t)))**1\/(t**(-6)*t**(-2\/13)) assuming t is positive.\nAnswer: t**(106\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o - 13. Let x be m(9). Suppose -6 = x*y - 1. Let q = y - -13. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1935.2 + 1935. Let t = 45577\/506 + 97\/46. Let g = t + -92. Which is smaller: o or g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of l**4\/2 + 14*l**3\/3 - 56*l**2 + 96*l - 158. Factor o(j).\nAnswer: 2*(j - 4)*(j - 1)*(j + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**3 - 61 + 61)*(-74539 - 21*r + 74540 - 42*r).\nAnswer: -252*r**4 + 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -135, -368, -693, -1110, -1619, -2220?\nAnswer: -2913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -37*t**2 - 5158*t + 5158*t + 26 - 6 wrt t?\nAnswer: -74*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111000100100 - 1011111?\nAnswer: 110111000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21101 - 10001100110202?\nAnswer: -10001100012101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -47, -102, -157, -212, -267, -322?\n\"Answer: -55*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q + 6. Let g be w(-9). Let l = 13 + -8. Suppose -5*d - u = -l*u + 10, 5*d + u = g. Solve -d*a - 15 = -3*n, -9 = 2*n + 7*a - 2*a for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 10:15 AM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -4) + (-5 - -8). Suppose 4 + 0 = t. What is the second derivative of i**t - 5*i + i + d*i wrt i?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18407591?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 60546*r + 60550*r - 15 = 0, o = 2*r - 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -364 + 359. Let f(p) = 382*p**2 - 430*p - 5. Let r(q) = -573*q**2 + 643*q + 7. Let o(t) = a*r(t) - 7*f(t). Find the second derivative of o(l) wrt l.\nAnswer: 382","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2295792099?\nAnswer: 3, 197, 431621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1137 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -330103*o. Let n(t) = 18*t**2. What is n(a(v))?\nAnswer: 1961423830962*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 209.756 rounded to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 676606 is divided by 65.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -989\/9 - -12941\/117. Let u(w) be the first derivative of 2\/13*w**5 + 1\/39*w**6 - r*w**3 + 18\/13*w - 3\/13*w**2 - 15 + 1\/13*w**4. Let u(g) = 0. What is g?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**4 + 2*x**4 + x**4)*(34*x + 9*x + 17*x) + (-2*x**5 + x**2 - x**2)*(-3 + 2 + 0) + (6*x - 7*x + 8*x)*(-2*x**4 + 2*x**4 + x**4).\nAnswer: 249*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -1, -0.07, -5, 4?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.72423 rounded to 1 decimal place?\nAnswer: -11.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2118100 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in 129, 2\/7, -3\/10, -2, 17\/3?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16314535 to the nearest integer?\nAnswer: 4039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33073, 33992, 34911, 35830, 36749?\nAnswer: 37668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of y**6\/120 - y**5\/12 - y**4\/24 - 2*y**2. Let c be f(5). Let o(j) = 4*j**2 + 3*j**3 - j**3 - 5*j - j**3. What is o(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1071637757?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*r - 331 + 235 = f - 1119, -18*r - 693 = -14*f + 17*f for r.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 79*x - 74*x = -10, 2*x = y - 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h - 3. Let l be n(5). Let s be ((-3)\/(-2))\/((-1)\/l). Suppose -3 - s = -3*x. Solve 0 = -5*f + 3*z + 29, f + 3*z = -0*z - x for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 3:09 AM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z*z\/((z\/(z\/((z**3*z)\/z)))\/z)*z*z*z)\/(z\/z**(1\/6))*(z*z*z**1)**(16\/7)*(z*z**(-2\/7)*z*z*z)**(3\/8)*(z**1)**(-2\/109) assuming z is positive.\nAnswer: z**(16217\/1308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**3 - 73390*j**2 - 73389*j = 0 for j.\nAnswer: -73389, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -139*z**4 - 4*z**3 + 4*z**3 - 32*z**4 + 61*z**4 - 648*z wrt z.\nAnswer: -1320*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 7. Find the common denominator of z\/(-9)*150\/(-8) and -81\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98579 divided by 38.\nAnswer: -98579\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 684 + -680. Solve h = -w - 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1297237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -37778160 divided by 336?\nAnswer: -112435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (1 - (-1 + 0)). What is the closest to 4 in 2\/3, n, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 258629 (c) 49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 3*p - 6. Let r be (-2)\/(0 - -2) - p. Let h = r - 4. Sort h, 5, 0 in ascending order.\nAnswer: h, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**3 + 7*s**2 + 54*s - 17. Let q be b(-4). Which is smaller: q or 573?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*s - 1. Let -12*l**5 - 6*l**3 + 9*l**5 - 9*l**s + 9*l**2 - 9*l**2 = 0. Calculate l.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001238367 rounded to 6 decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1301572 and 2556?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1589000 and 47600?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 3*g - 15. Let f(m) = 13*m - 4. Let b(t) = -2*t + 86. Let n be b(42). What is the least common multiple of f(n) and g?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -51, -124, -213, -324, -463, -636, -849, -1108?\n\"Answer: -k**3 - 2*k**2 - 60*k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b1 - 55?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2 + 11. Suppose -a + 4*j + 4 = -6*a, 4*a - 3*j - c = 0. What is the units digit of (-612)\/(-12) - (1 + a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3423795 is divided by 190210?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 1305 = 3231. Is 20 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wb when two letters picked without replacement from bwhhbbbbqibi.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 5*c**2)*(5*c**2 - c**2 - 3*c**2 + (-5*c + c + 5*c)*(-3*c + 3*c - 2*c)*(6 - 10 + 74)).\nAnswer: 695*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1024 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 20. Let w be (-4)\/s + 115\/15. Suppose 2*c + 14 = -2*n - 2*c, 3*n + c = -1. Solve w = 3*i + n for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 1141*l**2. Let r(i) = -i**2. Determine r(g(d)).\nAnswer: -1301881*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32552492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2171, -3939, -5329, -6341?\n\"Answer: 189*k**2 - 2335*k - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.25 + -0.3. Let i = g - -2.05. Let j = -78\/5 - -16. What is the closest to j in 4, i, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -1\/15, -1, -0.4 in descending order.\nAnswer: -1\/15, -0.2, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 1 - 1 + (5 - 3 + 0)*(-2*a - 2*a + 5*a) + 5 + 2*a - 5 + (-a - a + 4*a)*(-1 - 5 + 4))*(-4*a**2 - a**2 + 3*a**2).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -13, -9, 3424, -5, -2, -3 in increasing order.\nAnswer: -13, -9, -5, -3, -2, -1, 3424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3953*v**2 + 74 + 3912*v**2 - 54.\nAnswer: -41*v**2 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/sqrt(3) + 3 + 0.\nAnswer: 3 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h + 247 = 724. Suppose 3*d = -r + h, 0*d = -4*d + 4. What is the remainder when r is divided by -4*3\/(-36)*51?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0*m)**42 assuming m is positive.\nAnswer: m**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -522802358*z + 194212675.\nAnswer: -522802358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/5, 0.22, 2\/9, 6\/7, -0.4, -4, 13\/79?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7700.583 tonnes to micrograms.\nAnswer: 7700583000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(90\/(-12))*1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gnn when three letters picked without replacement from {n: 2, g: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fufv when four letters picked without replacement from {u: 1, f: 5, q: 1, v: 2}?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, -2, -5, 33, -11173, -1.7, -1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20747989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - g**2 + 4*g + 2. Let x = 20 - 15. Let m = 8 - -7. Let n be m\/x*(-1)\/1. Give c(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -2, 36, -3, 101 in descending order.\nAnswer: 101, 36, -2, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 265*x + 3598. What is the remainder when q(-10) is divided by 191?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**5\/4 + 2*y**4 + 5*y**3 + y**2\/2 - 19*y\/4 - 5\/2.\nAnswer: -(y - 10)*(y - 1)*(y + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -x**7\/14 + 11*x**6\/10 - 69*x**5\/10 + 45*x**4\/2 - 81*x**3\/2 + 81*x**2\/2 - 18*x. Factor r(p).\nAnswer: -3*(p - 3)**3*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 3*t - 2085, t - 4*t - 4*s = -2057. Suppose -2*b + 3*v + t = 0, -5*b - v = -203 - 1550. Is 25 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9613, 19225, 28835, 38443, 48049?\n\"Answer: -r**2 + 9615*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -9*n + b + 5436, 0 = 5*n + 4*b - 13616. Let i be (-4672)\/n + 2\/(-5). Is -3 at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 27*v - 60. Let a be g(4). Is 48 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 160*b**3 - 2 - 2 - 31*b**3 - 197*b**3.\nAnswer: -388*b**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10 + -84084?\nAnswer: -84074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -192835 and -0.3?\nAnswer: 57850.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -8. Let l be (-24)\/(-9)*3\/2. Suppose 92 = l*y - r, -5*r = w*y - 13 - 11. Does 10 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -7*p**3 + 3 + 4 + 15*p**3 + 19*p**3. Let g(q) = 80*q**3 + q + 20. Let b(v) = 4*g(v) - 11*w(v). Find the second derivative of b(r) wrt r.\nAnswer: 138*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-468)*1044\/(-696)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence epeu when four letters picked without replacement from ppppeuepeeppee?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 2. Let p = -6695 - -6701. Which is the closest to p? (a) l (b) -2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 203566 - 128266. What is h rounded to the nearest one thousand?\nAnswer: 75000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.07 + 5.07. Sort -3, -0.5, k.\nAnswer: -3, -0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-1)*-2*(-2)\/8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a hour in seconds?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(7200) + 0.\nAnswer: -4 + 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1529884348*i**2 + 369 - i**4 + 10*i**3 + 1529884348*i**2 + (-1 + i**4 + 1)*(-1 + 4 - 4) to g*i**4 + l*i**2 + c + j*i + y*i**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/(-7))\/((-6)\/126). Let k = q + -16. Is k a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 1066390?\nAnswer: 11730290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 6*t**2 + 11*t + 12. Suppose -2*o - 99*b + 95*b = 8, 12 = -3*o - 3*b. Let u be s(o). Solve 3*w = 5*h + 19, 4*w + u*h = 3*h + 7 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 s, and 1 l when three letters picked without replacement from {m: 1, s: 3, l: 6, y: 4}.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbh when three letters picked without replacement from hbbhbb.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(528)\/sqrt(11)*3 - sqrt(3072)*4.\nAnswer: -116*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/19 and 63\/122.\nAnswer: 2318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*a = -17206, -o + 5*a + 51610 = 2*o. Round o to the nearest 100.\nAnswer: 17200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25955.7g in tonnes?\nAnswer: 0.0259557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 - 12*x.\nAnswer: 3*x*(x - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 5*r**2 + 5*r - 10. Calculate z(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + (6\/14 - (30 + -28)). Factor 34\/7*l**2 - 32\/7*l - n*l**3 + 8\/7.\nAnswer: -2*(l - 2)*(l - 1)*(5*l - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*q - 59 = 0, -7*g + 2*g - 5*q = -140. Let p = 26 - g. What is the remainder when p is divided by 0\/(0 - -1) + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2462837745 rounded to the nearest one million?\nAnswer: 2463000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 5*w + 3. Let y be v(5). Solve -o + 4 = -y*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13463045*s**4 - 51055*s**2 - 1537.\nAnswer: -323113080*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4 - 5095*j**3 - 21824273*j**2 - 17898817833*j.\nAnswer: j*(j - 8073)*(j + 1489)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1803.69585 milliseconds in days?\nAnswer: 0.000020876109375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 10*h - 56. Let m be l(6). Suppose 7 + 8 = 5*v, 0 = r - v - 1. Solve r = m*n - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a5 (base 12) to base 10.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -712289084*x**3 + 681688313 wrt x.\nAnswer: -2136867252*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 5*r - 46. Let m be t(10). Let w = -0.6 + 0.54. Let x = 0.36 + w. Sort -3, x, m in decreasing order.\nAnswer: m, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 6*p**5\/25 + 3*p**4\/20 - 486*p**3\/5 + 8019*p**2\/10 + 4374*p\/5 + 167. Let w(j) = 0. What is j?\nAnswer: -18, -1\/2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 6*j**2 + 2*j + 14. Let t be m(-6). What is the second derivative of a**2 + a - 4*a**2 - 5*a + 2*a**t wrt a?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213.9 times 1511.73?\nAnswer: 323359.047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*v + 2170 - 8007. Let d be v - (6 + -10 - 3). What is the highest common factor of d and 171?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00263421 to five dps.\nAnswer: 0.00263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 1)*78\/(-26) - -60. What is the greatest common factor of 133 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -149976.57 take away -0.04?\nAnswer: -149976.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8ec (base 16) to base 6.\nAnswer: 14324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - r + 1. Suppose 0 = -3*v + 8*v + 65. Let t = v + 15. Suppose 5*i + t = 3*i. Let l(f) = 15*f**2 + 12*f - 12. Give i*l(d) - 12*k(d).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -135\/8*a**2 + 3\/2*a**3 + 33\/8*a + 0.\nAnswer: 3*a*(a - 11)*(4*a - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-21) - ((-4)\/(-2) - 1)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63 - 11*z**2 + 0*z**2 + 17*z + 27*z + 19*z - 64*z to the form l + u*z**2 + v*z and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = i + 15. Let v be (4\/8)\/(i\/(-12)). Let q(s) = 2*s**v - 23 + 23. Let a(g) = -g. What is q(a(k))?\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 4 = 2*c, -a - 4 = -2*c + 4. Suppose -r - c*v = 4 + 4, -5*r + 4 = 4*v. Suppose 0*t = -t + 1, -54 = -r*y + 2*t. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 257110 and 18634.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 724113, 1448301, 2172489, 2896677, 3620865?\nAnswer: 4345053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 855 and 1957.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 423 and 556386?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8 - 127) + (0 - 1). Let g be 17\/o - 69\/(-424). Suppose -2 = -f - 1. Is g bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 325 + -41?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-114)\/(-1368) + 13\/(-12) - 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/2*(3 - (10 - 5)). Let r = p - -23. Solve 3*h + 4*q = r, h + h - 3*q = -7 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -q**5\/5 + 7*q**4\/4 - 428*q**3\/3 + 253. What is the third derivative of z(n) wrt n?\nAnswer: -24*n + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 427 = 2*b - w, -3*b - 2*w - 133 + 756 = 0. Let z be (0 + (-122)\/(-6))*3. Suppose 4*i - s - 2*s - b = 0, -i = 2*s - z. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(2057) + sqrt(2057) + -3) - (-4 + -1*sqrt(2057)))**2.\nAnswer: -5324*sqrt(17) + 249381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -5\/2*a**2 + a**4 + 3*a + 1\/6*a**3 + 0. Let n be u(-5). Round n to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -564 + 568. Calculate the remainder when 86 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/32 and 123\/80?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f1b4 + -47?\nAnswer: -f1fb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/7 of a week in days?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 6*d**2 + 6*d - 1. Let s be r(1). Suppose -41*l - 254 + 1033 = s. Solve 15*c - l*c + 16 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.37 - 0.13. Let h = 2.7 + 10.3. Let g = m + h. Which is greater: -0.1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -533*s**4 + 2*s**3 + 207*s**2 - 2*s + 1. Let r(u) = u**4 - u**3 + 2*u**2 + u - 1. Let b(d) = -i(d) - 2*r(d). Find the third derivative of b(x) wrt x.\nAnswer: 12744*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -112311200 + -2103?\nAnswer: -112313303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -188 + 193. Solve m*t + 7 = 2*j, -3 - 4 = -3*t + 4*j for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 5*r - 1. Let a be m(6). What is the highest common factor of a and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kx when two letters picked without replacement from {k: 1, y: 1, x: 1, q: 4, w: 2}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*q - 4*q + 341, 2*q = 10. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -4*z - 4. Let o(n) = 17*n**3 + 9*n**2 - n + 9. Let l(x) = 4*x**3 + 2*x**2 + 2. Determine z*l(p) + 2*o(p).\nAnswer: -2*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 14 - 1, -5*w - 2*x = 156. Let d = -5 - w. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 18*n**2 - 22*n + 52. Determine i(19).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 3*u**2 + 3*u + 4. Let w be y(3). Let d = w - -9. What is the highest common divisor of 55 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.28 - -15.72. Let q = h - 13. Let g be 4\/14 - 3\/35. Which is the smallest value? (a) -5 (b) g (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4*i**2 - 2*i - 3. Let f be o(3). Suppose -3*m + q = 4*q - f, 5*m - 81 = 4*q. Is m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 555\/(-592)*385\/2310\nAnswer: -5\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.05 - 4.05. Let w be (-54)\/(-13) - ((-954)\/(-117) - 8). Suppose 0 = -3*d + 7 - 4. Put d, c, w in ascending order.\nAnswer: c, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2505246 (base 8) to base 13\nAnswer: -1b25b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6917796737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52322014 to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eqm when three letters picked without replacement from {c: 1, m: 5, e: 2, w: 5, q: 2, z: 2}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/1077 and 107\/24.\nAnswer: 8616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - (-4)\/((-80)\/(-12)))*5. Suppose b*r - 1432 = r. Let h = r - 465. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*t**2 - 5*t**2 - t + 10*t**2 + 4 to the form u*t**2 + z*t + o and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -363 + 497. Suppose 143*u = w*u + 36. Solve 2*j + 5*a = 4*j - 2, -2*j = -u*a for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 3*b = 3, 0 = -2*a + 5*b - 1728 + 1695 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-1 + 0*(-5)\/(-20)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**2 - 19*i - 1. Let g be q(11). Calculate the greatest common factor of 8 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2 - 10*l + 10. Let y(k) = k - 1. Let p(d) = o(d) + 10*y(d). Let g(u) = -16*u**2. Give p(g(q)).\nAnswer: 512*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s - 7. Determine j(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 26*r + 56. What is the least common multiple of z(7) and 3?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/2))**(-7\/8) assuming z is positive.\nAnswer: z**(-7\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5*v - 2. Let a be b(-5). Let u be (-5 + 0 + -4)*26\/39. Does 44 divide 1\/(a\/(-7068)) + u\/(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 + 84 + -40 + -27 + 0?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1104912 and 920760.\nAnswer: 5524560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1000 + 1200 - 739)*(3*x - 3*x - 2*x) to the form g + s*x and give s.\nAnswer: -2922","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -279878616 divided by -9?\nAnswer: 31097624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + -35. Let i = r + 91. Suppose -3*a + 2*w - 6*w + 33 = 0, 0 = 4*a + 2*w - 54. Calculate the highest common divisor of i and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.18689 to 3 dps.\nAnswer: -0.187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 35564329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/(-50))\/((-1)\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1917 by 181.\nAnswer: 1917\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -179, 163, -4 in increasing order.\nAnswer: -179, -4, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8158721060307*b**2 - 4947339*b + 3\/4.\nAnswer: 3*(3298226*b - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2. Let u(b) = -3*b**2. Let g(h) = -3*u(h) + 7*w(h). Let j(c) = 14*c. Give j(g(i)).\nAnswer: 28*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 * -4.7.\nAnswer: -3.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*i - 105744 = 0. Suppose -i = -7*y - 5622. Let n be (-40)\/((-3)\/y*-3). What is n rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4311)\/11496)\/((-35)\/16).\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 30 + (56 - 48) - 82\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9181979 to the power of 1\/2, to the nearest integer?\nAnswer: 3030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -4*u - 5*f - 18, 3*f = u - 8 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*s - 38. Find the second derivative of -3*k**3 + 0*k**3 + 2*k**3 + s*k - 2*k**3 wrt k.\nAnswer: -18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -376\/7 + 54. Let r = 4.55 + -0.55. Which is the smallest value? (a) r (b) y (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, v: 11, h: 7}. Give prob of picking 1 v and 1 e.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2289 and 525?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.05867049316 + 368.94130640684. Let l = a - 369. Round l to 6 decimal places.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 480 - 168 = 0. Is u a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9204 and 472?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*i - q, 5*q - 1797 = -4*i + 1818 - 3599 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2432 = -66*i + 74*i. Let t = -100 + i. Is t a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + (-2 - -1) + -4. What is l rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, 5\/6, -1\/8, 7?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 3:25 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/96*2*(-408)\/17. Solve 18 = 3*r - 2*s, r + i*s + 58 = 53 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*k*n**5 - k + 10*n**2 - 63*n wrt n.\nAnswer: 520*k*n**3 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - i)*(1 + 1 - 3)*(-5*i - 5 + 5*i + 3*i + (-1 + 1 + 2*i)*(-3 - 1 + 2) - 2 + 2 + 2*i).\nAnswer: i**2 - 5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z - 14. Let j be r(-10). Let g = -45 - -25. What is the units digit of 2\/j*(g + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -106345, -106249, -106167, -106105, -106069, -106065, -106099?\n\"Answer: -i**3 - i**2 + 106*i - 106449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 25. Let u(v) = -12*v**2 + d*v**2 - 3 + 3. Let r(f) = 5*f**2. What is u(r(o))?\nAnswer: -175*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 191.5889432 - -0.6515068. Let w = m + -192.2. Let x = -0.04 + w. What is x rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**2 + 2. Let t(i) = 7*i**2 + 2*i + 4. Let h(v) = 2*n(v) - t(v). Solve h(l) = 0 for l.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 5. Let p = -4.2 - 0.8. Let r = 273 - 270. Which is the closest to -1\/5? (a) w (b) p (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/48 and 27\/8?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/31 and -59\/78?\nAnswer: 2418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2021231 (base 5) to base 15\nAnswer: 9a46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2 + 32*g + 107. Let s be r(-11). Let i(d) = 16*d**2 + 2*d - 2. Let h(n) = 17*n**2 + 3*n - 3. Give s*i(m) + 2*h(m).\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 210509985 and 100875?\nAnswer: 4035","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 7:09 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/59040 and 58\/136773.\nAnswer: 897230880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -5. Let n be 3\/(-9) - y\/(-6). Suppose n*b - 3*b + 690000 = 0. What is b rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4535 + 4588 - (-2 + 15 + 1 + -2)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -284.4 + 284.8. Sort -4\/7, 0.0419, l.\nAnswer: -4\/7, 0.0419, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-3)\/12) - 4. Suppose -8*f + 4*f + 8 = o. Suppose n = -f*n + 27. What is the remainder when 17 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9546 and 7224?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -982*g + 974*g + 94409 + 6615 = 0. What are the prime factors of g?\nAnswer: 2, 7, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 2:21 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 76 and 1742376.\nAnswer: 1742376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/5)*b\/b**2)\/((b*(b**2\/b)\/b*b*b)\/(b*b*(b**(-2\/3)\/b)\/b))*((b*b*(b**7*b)\/b*b)\/(b\/b**(-1\/4)))**36 assuming b is positive.\nAnswer: b**(4646\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (28\/42)\/(4\/1278)?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 122221?\nAnswer: 200001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 295 - 123. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.25 (b) 0.01 (c) 1 (d) -0.3 (e) -6.4 (f) 0.5 (g) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -965900 rounded to the nearest ten thousand?\nAnswer: -970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 14. Find the second derivative of -10*i + 19*i - 10*i - i**y wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -v + 17. Let j be (2\/(-6))\/((-416)\/(-84) + -5). Find the common denominator of v and (-145)\/25 - (-3 - (-1 - j)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12293.\nAnswer: 19, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 351492?\nAnswer: 2, 3, 17, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*v**6 - 257*v**4 - 148*v**3 + 3745*v**2 + 867 wrt v.\nAnswer: -720*v**3 - 6168*v - 888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 6105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q + 2*q + 0*q + (-2 + 3 - 4)*(-1 + 2 + 3)*(5*q - 4*q + q).\nAnswer: -26*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 5*o + 2. Give w(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1\/175, -3, 21.5, 2\/5, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 165 (c) -0.4 (d) 3\/5 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -509*b**2 + 876*b**2 - 720*b**2 to y*b + k + a*b**2 and give a.\nAnswer: -353","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 8 = 4*p + 22, -6 = -3*p + 4*m for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -55*b*u*y - 115436*b*y + 2*u*y + 2*u - 100626*y + 57 wrt b.\nAnswer: -55*u*y - 115436*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12913 or -12918?\nAnswer: -12918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 + 45. Suppose -7*y - 36 = w. Let u = y + 12. Solve -3*k = 13 - u for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -18085*p**2. Let b(c) = 2277*c. What is r(b(f))?\nAnswer: -93765823965*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -57 - -c882?\nAnswer: c828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*l - 2*k - 322 = -0*k, 60 + 12 = 4*l - 17*k - 20 for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3\/889 - -7953\/14224. What is the common denominator of (0 + -61)*1\/4 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8993.036 years?\nAnswer: 107916.432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24501455039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -10*w - 44. Let x = 347 - 352. Let d be q(x). Solve 5*g + d = -19 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 5*k - 237, -4*v = 148*k - 147*k - 78. Solve 10*r - k = -2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxt when three letters picked without replacement from axxaxaxxxta.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2179 is divided by 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 653 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-55)\/(-22)*(-8)\/(-10). Suppose 0 = -7*z + 19 + c. Solve -4*a - h - z = 0, -a - 5*h + 2 = -2*h for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 4*r = -15, 0 = 2*s - 5*r + 31 - 37. What is the third biggest value in s, 2, 0.9, 3\/8?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126745\/23 not equal to 5511?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-144)\/45 - (2 + (-18)\/15). What is the fourth biggest value in -7, -5, -3\/4, i?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.4 (b) 0 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -16, -23, -30?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7489\/3 + 3302639\/1323. Is s greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59ea (base 15) to base 11.\nAnswer: 13402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/8 + 3\/2. Let v(t) = t**3 + 10*t**2 - t + 6. Let k be v(-8). Let p be ((-282)\/k - -2)\/(11\/11). Which is bigger: p or g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, h: 13}. Give prob of picking 2 b.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 4*o**5 + 1104*o**4 + 1060*o**3 - 11016*o**2 - 4304*o + 26400 = 0?\nAnswer: -275, -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s = 2*q - 142, 3*s - 1852*q = -1900*q + 78 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -5. Suppose f = -4*r + 4 + 8. Solve -p - b - 2 = b, 6 = -r*p - 2*b for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 125*p**4\/6 + 5950*p. Let r(u) = 8*u**2. Give r(m(x)).\nAnswer: 500000*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, x: 5, u: 1}. Give prob of picking 1 t and 3 x.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.14 - 0.01. Let d = t + 2.15. Suppose 10 = -4*w - 2*g, -3*w + 2*g - 20 = -w. Sort d, 5, w.\nAnswer: w, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/6939 less than or equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -5*m + 1319. Is w(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 61791 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 25 + 9 = 0. Suppose -2*v = 5*x - 0 - w, 8 = -4*x. Calculate the highest common factor of 27 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4\/3, -0.23, -4 in ascending order.\nAnswer: -4, -1, -0.23, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 969 = t + d, -d = -2*t + 382. Let i = t + -108. Suppose 0 = 2*z - i + 5. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/182 and 27\/260.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(30) - 2*sqrt(30))*-4)\/(sqrt(6) + (sqrt(30) - sqrt(120)\/sqrt(4))\/sqrt(5)))**2.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (-30 - -38) + (63 - (0 + -1)).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*-1*17*3. Let w = q - -71. Suppose -20 = -5*n + w. What is the highest common factor of 88 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**3 + 111*z**2 + 13693*z - 913. Determine r(115).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 17730.66456 seconds?\nAnswer: 0.029316575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7644 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 139028 - 80315. Is 2\/3*b*10\/20 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*u - 29*u + 6*u + (4*u - 3*u + u)*(2 + 5 - 5).\nAnswer: -13*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 30, -13, -62, -111, -154?\nAnswer: -185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, b: 5, j: 3}. Give prob of sequence jb.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.96 + -0.04. Let h = -7 - m. What is the closest to h in -0.3, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d - 26*d = -21*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**(1\/17))**(8\/3)\/((n\/(n**0*n))\/(n**(4\/13)*n)) assuming n is positive.\nAnswer: n**(1433\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(-105))\/((-4)\/(140\/(-21)))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -702227*j**3 - 8*j**2 - j + 6743964?\nAnswer: -4213362*j - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.319 - 8.319. What is the second biggest value in 17, 3, n, -1\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 6:02 AM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9132613 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 4:37 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 16283.07nm?\nAnswer: 0.01628307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 2*c + 10. Let v be w(5). Calculate the greatest common divisor of v and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/6*2*-5. Let a = w + 7. Let u(f) = 5*f + 25. Let x be u(-4). Solve a*y = y + x for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 - 21. Let n be 3786\/18 - k\/(-6). Suppose 3*s = n + 398. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/165 and 46\/165.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -349 - -475. Suppose -n = 168*a - 170*a. What is the remainder when 377 is divided by a?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39178a (base 13) to base 9\nAnswer: 2524315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68)\/(-51)*3\/12.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z**2 - z**2 + 4*z**2)*(-20*z**2 + 12*z - 12*z) to t + m*z**3 + r*z**4 + q*z**2 + p*z and give r.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-172)\/387)\/(2\/(-45)). Suppose 19 = 4*s - 1. Suppose -s*p = -99 + 24. What is the highest common factor of p and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -42565.9 and -4.1.\nAnswer: 174520.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*i - 6 = 0, 0 = -5*g + 2*i + i - 2. Let v(t) = 11*t**g - 3*t**2 - 6*t**2. Let b(r) = -6*r. Determine v(b(p)).\nAnswer: 72*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5347169\/11292 - 89\/1882. Let k = n - -473. Calculate the common denominator of k and (-115)\/24 + (-2)\/(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289188 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.034 - -0.0397. What is i rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*n - 24 - 15 = 0, -r + 39 = n. Suppose 4*i = 159 - r. Let q = i + -4. What are the prime factors of q?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(396) - (sqrt(396) + -1)) + sqrt(396))*-6*1.\nAnswer: -108*sqrt(11) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -100*t + 98*t + 40, -8*t + 6*t = 5*g - 68 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -300 or -303?\nAnswer: -303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4*h - 2. Suppose 0 = 2*m - 3*y + 26, 5*m = 2*y + 373 - 394. Let p(z) = -z**2 - 2 + z + 0 + 3. Give m*s(b) + p(b).\nAnswer: -b**2 - 3*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 7*q - 2. Let w be l(5). List the prime factors of 16\/w*63\/(-6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1773 - 2811 = -4*b. Suppose 24*t + b = 30*t. Calculate the remainder when t is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 6*w - 0*w. Let m(i) = 5*i + 3 - i**2 - 2*i - 9*i. What is the units digit of m(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10566, -21161, -31756, -42351?\n\"Answer: -10595*l + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 1380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000101001111000010111 + 11?\nAnswer: 11000101001111000011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 269022, 268118, 267214?\nAnswer: 266310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 284 divide 31240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 741920 to the power of 1\/2, to the nearest integer?\nAnswer: 861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/5))**(-8\/3))**3\/((k**(-2\/11)\/k)\/k**8)**(1\/6) assuming k is positive.\nAnswer: k**(1561\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z - 24. Let t be x(6). Let a be (21\/14)\/(t\/784). Let m = a + -113. What are the prime factors of m?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 + 513*o**2 + 62331*o - 899197.\nAnswer: (o - 13)*(o + 263)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 20 = 3*i, 0 = -3*i - i + 4*q - 32. Let p be i\/(-9)*(-9)\/(-8). Suppose -g = -0*g - 1. Which is smaller: g or p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*n - p, -3*p = 44662*n - 44667*n - 34 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 446*0.01.\nAnswer: 4.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106 + 38 = 3*t + 5*u, 2*u + 24 = -2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*4*(7 - 285\/38). Let d(g) = -f*g**2 - 7 - 3*g**2 - g - g**2 + 9*g**2 - 2*g**3 + 3*g**3. Let t be 0\/(-3 - -1 - 0). Give d(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-2)\/7 + 6150\/1435.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/32*4\/3.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 598597 and 29639.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (3 + sqrt(931) + sqrt(931) + 2 + sqrt(931) - sqrt(931)) + sqrt(931)*2 + 0)**2 + -5.\nAnswer: 14891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170182563 is divided by 1964?\nAnswer: 1963","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of 0*d**3 + 0*d + 0 - 26*d**2 + 1\/3*d**4 + 1\/15*d**5. Determine q so that f(q) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -469 and -464 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3232, 3265, 3298, 3331?\nAnswer: 3364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 741 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/5, 5, 4\/15?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13634130 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 22*j**2 - 22*j - 30. Let v be c(21). Let r = 53 + v. Suppose r*f + 1334 = 4*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2695712.\nAnswer: 2, 61, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.1 - 1.8. Let o = 0.081 + 0.019. Let r be 20\/(-9) + -1 - (19 + -22). What is the fourth smallest value in -0.3, o, t, r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 6.7, -2\/11, -61\/70, 1 in descending order.\nAnswer: 6.7, 1, -2\/11, -61\/70, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 6*i - 4*i + 8, -10 = -5*s + i. Solve 0 = -g + s*u - 13, 0 = g - 5*g + 3*u - 32 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 6*g - 4. Let s be f(-5). Let u be -1 + (-6)\/((-18)\/(-57)). Let l = u - s. Calculate the greatest common factor of 28 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 0. Suppose 0 = u*n - 3*z - 3, n = -6*z + 2*z + 16. Which is the nearest to -1? (a) n (b) -0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-10))\/(34\/68).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g - 3*g + g)*(-g + 2*g + 0*g)*(-2 - 1 + 5 - 2 + 3 + 0 + (5 - 4 - 3)*(2 - 3 + 3) + 5 + 1 - 5 - 5 + 3 + 3) to u*g**2 + k*g + m and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -30 - 374. Let i(n) = -2*n**3 + 7*n**2 + 8*n + 10. What is the remainder when k is divided by i(4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 9*g - 32 = -8*g, 4*z + 16 = 4*g. What are the prime factors of (0 - 563)\/((-11 - z) + 4)?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -2\/3 (c) -12\/7 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6 + -10)\/((10 - 0) + 4). Which is the closest to -0.1? (a) 0.1 (b) -0.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-77*210\/(-14553))\/(28\/6).\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (18\/4)\/(57\/152). Solve 17 - 5 = -2*c + z, -2*z = 5*c + l for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 121 and 2?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 44126 times -0.3361\nAnswer: -14830.7486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**2 + 5*t**2 - 3*t**2 + (-4 + 5*t + 4)*(5 - 5 - 4*t) + 0 - 2*t**2 + 0 + 4*t**2 - 2*t**2 + 0*t**2 + (1 + 3 - 3)*(2*t**2 - t**2 + t**2).\nAnswer: -15*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1857, -1655, -1463, -1287, -1133, -1007, -915, -863?\nAnswer: -857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33354)\/(-9265))\/((21\/4)\/7)?\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9 times -377\nAnswer: 3393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (248\/434)\/((-8)\/(-28)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-16)\/(-56))\/((-2)\/(-541)). Let n = y - 77. Suppose 3*z - 6*z = 0. What is the fourth biggest value in z, n, -4, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -1 (c) 0.0188\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -l**3\/6 - 7*l**2 + 10*l + 5. Let n(r) be the first derivative of a(r). Let s be n(0). Do -15 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 56\/3*m**2 + 6*m**4 - 20*m**3 - 16\/3*m + 0 = 0.\nAnswer: 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0291 - -0.5189. Let u = -0.848 + w. What is the smallest value in -3, u, -2\/3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-496)\/(-24))\/(2\/(-3)). Let d = v + 29. Let q be 2500*(d + 2 + -1284). Round q to the nearest one hundred thousand.\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -8*m + 4. Let y be j(-1). Calculate the remainder when 38 is divided by y + (-1)\/(-2) + (-25)\/10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 978147, 1956304, 2934461, 3912618, 4890775?\nAnswer: 5868932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -9854937, -2\/5 in increasing order.\nAnswer: -9854937, -2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**4 + 22*i - 20*i - 529337 + 971*i**2 + 529336 + 2*i**3 to the form t + v*i**4 + o*i**3 + j*i**2 + s*i and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 122e8?\nAnswer: -122e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2439564 divided by 4.\nAnswer: 609891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 5*x**2. Let w = 148 - 131. Let s(n) = 5*n**2 + w*n**2 - 18*n**2 + 2*n + 17*n**2. Give t(s(f)).\nAnswer: 2205*f**4 + 420*f**3 + 20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0659 and 5?\nAnswer: 4.9341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4982 is divided by 39?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2668)\/(-2093) - 1) + 3\/(-7)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 168873254 - 814479. Let b = 168058916.000114 - d. Let z = b - 141. What is z rounded to five decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 886236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-42))\/((108\/(-14))\/(2364\/(-394))).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1290*n**3 - 204*n**2 - 2?\nAnswer: 7740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x**3 - 5*x**2 + 9*x - 5. Let j(d) be the second derivative of -d**5\/20 + d**4\/6 - d**3\/2 + d**2 - 12*d. Let t(i) = 7*j(i) + 2*v(i). Determine t(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -13206 and 1648.\nAnswer: -11558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29.634 + -36763.366. Let q = f - -36857.9645. Let v = -65 + q. Round v to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 4 - 4)*(0 - 2 + 1 - 2 + 6 + 0 + (0 - 1 + 3)*(0 + 0 + 1)).\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/30)\/(3\/30). What is the fourth biggest value in 8\/5, k, -0.5, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 1 = -3*y, 8*i - 11*i = 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/2 + 0 - (-2054)\/52. Let h = j + -39. Solve 5*k - 5 = h, -4*s + 3 + 2 = -3*k for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-2)*-1)\/((-15)\/140). Let i(v) = 7*v - 5. Let j(y) = 20*y - 14. Let h(q) = d*i(q) + 5*j(q). Let u(n) = 3*n**2 - 4. Give h(u(w)).\nAnswer: 6*w**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/8)*u*u**(-3))\/(u\/u**(-1\/8)*u*u*u*u*u\/(u*u\/((u**9*u)\/u))*u*u) assuming u is positive.\nAnswer: u**(-69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3*z - 8. Let x be l(5). Find the first derivative of -21*t - 20 - x + 25 wrt t.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -5*l**3 + 105110*l**2 - 552195325*l - 2210463380 = 0.\nAnswer: -4, 10513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 30 = 3*x, 20*x + 12 = 3*p + 16*x for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.332 and 19.\nAnswer: 18.668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from raunnnanw. Give prob of sequence na.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36.5 + 36. Let u = 0.34 - 0.39. Which is the closest to 0.1? (a) p (b) u (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.75 - 1.15. Let p = -1.31 + 0.01. Let z = p + i. What is z rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6713.5 - 6713. Let u be ((-4)\/7 - -1)*1. Which is the closest to 1? (a) u (b) n (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 4*u - 3*u)*(-360*u + 3235198 - 3235198).\nAnswer: 2880*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**2 + 668*j + 8787. Calculate n(-14).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2930477187.\nAnswer: 3, 11, 17, 1637, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11520 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 7*h**3 - 477*h**2 + 66*h + 136. Let q be t(68). Suppose 11 = 4*m - 5. Suppose -s = -q*y - 5*y - 171, -m*s - 5*y + 584 = 0. Is 14 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 10*w**2 - 2*w + 1. Let z be d(1). Let q be 2\/3*z\/6. Let m be (7500\/q)\/(3\/1520). What is m rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 640411*v**6 + 37*v**5 + 113342*v**2 + 59 wrt v?\nAnswer: 76849320*v**3 + 2220*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 + -34. Suppose -5*h = -14 - k. Suppose c - 44 = -5*f, -h*c + 14 = -f + 6. Solve 4*m - d + 2 = 0, -2*m + 4*m = -3*d - f for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/13)\/(o*o\/((o\/(o\/(o*o**(-2\/7))))\/o))*o**(-1)*o**(-7)*o)**(-2\/15) assuming o is positive.\nAnswer: o**(1718\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-12))\/(2\/(-330)). Suppose 12 = -4*f + 7*f. Suppose -3*h - 21 = -5*m - 2*h, -h = -f. What is the greatest common factor of x and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*u**3 - 5*u**5 - 10*u**3 - 6*u**5 + (0*u**3 + 0*u**3 - u**5)*(1 + 1 - 4) - 11*u**5 - 4*u**5 - 5*u**5.\nAnswer: -29*u**5 - u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 252 and 1307628?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 52*r**2 + 128*r + 148. Is j(63) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -337 divided by 4.\nAnswer: -337\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x - 4*m - 0*m + 8, -3*x - 3 = -4*m for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6562 + 3664. Let v be (-428)\/r + (-9 - -2)\/49. Are 1 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 10 + 0 + -14?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010265303 to six dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(-1 + 42\/(-9)). Let j be (-2)\/(-3)*(0 - -3). Suppose 0 = -j*c + 33 + 137. What is the greatest common factor of c and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -995\/6 less than -165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 140 + -140.5. Which is the third smallest value? (a) 0.3 (b) 1\/4 (c) h (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1180518475?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1235a (base 13) to base 16\nAnswer: -8301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -10. Let k be r - 1*(-4)\/2. Find the first derivative of 5 + 0*p**2 - 4*p**k - 2*p**2 + 4*p**2 wrt p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.33 - -0.828. Let t = -0.002 - h. What is the nearest to 2\/3 in -1, -0.3, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.11? (a) 17 (b) 1 (c) 25\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38)\/(-323) - (-72)\/(-1479)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1580141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -34 (b) -2\/5 (c) 1.1 (d) -23 (e) -1\/3 (f) -5\/3 (g) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v + v + 0 - 2 + 1. Let g be p(-4). Let b(m) = -90 + 90 - g*m**2. Let u(i) = 4*i**2. What is u(b(s))?\nAnswer: 36*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y + 5. Let n(x) be the first derivative of -1\/2*x**2 + 36 - 3*x. What is 11*n(p) + 6*u(p)?\nAnswer: p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68, -13, -156, -367, -652, -1017, -1468?\nAnswer: -2011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 4916*v**2 + 0.\nAnswer: 4916*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/15 and -83\/437910.\nAnswer: 437910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, m: 9}. Give prob of sequence mmm.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6857573244 to the nearest integer?\nAnswer: 82810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9243 is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05550078 to 3 dps.\nAnswer: -0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -19*f + 21*f. Solve -7 = -m + 2*m + 3*o, -5*o = -f*m - 7 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n + 2. Calculate the remainder when 94 is divided by i(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q = -44*q + 49062. List the prime factors of q.\nAnswer: 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47.593 or -2?\nAnswer: -47.593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -12503000 rounded to the nearest 100000?\nAnswer: -12500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 10*p - 12. Let k be s(8). Suppose -5*h - k*q = -30, -4*q + 31 = 3*h + q. Suppose a - 72 = -h*a. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*n**4 - 14*n**2 + 6*n**2 - 13*n**4 wrt n?\nAnswer: -312*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-180))\/((-1)\/3)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8667 - 213.2?\nAnswer: -8880.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 322 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3316 is divided by 158.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 + 2*m**2 - 4*m**2)*(3*m**2 - 2*m**2 + 0*m**2) + 3*m**4 - m**4 + 0*m**4 + (3*m - 5*m + m)*(-6*m**2 + 6*m**2 + 6*m**3).\nAnswer: -3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57852712?\nAnswer: 2, 1063, 6803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -21. Let p(m) = -m + 5. Let u(t) = 11. Let z(f) = -9. Let q(w) = 4*u(w) + 5*z(w). Give o*q(a) + 2*p(a).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1178025504?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - p + 8. Suppose 36 = 4*y - 0*y - 4*u, 6 = -2*y - 4*u. Calculate the remainder when 26 is divided by y\/p*(-54)\/15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12982750 (base 10) to base 3.\nAnswer: 220102120222121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 903 and 3297?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -j**6\/3 - 26*j**5\/5 - 21*j**4 - 116*j**3\/3 - 37*j**2 - 18*j + 61. Factor f(o).\nAnswer: -2*(o + 1)**4*(o + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1077785*w**4 - 2*w**2 - 183238*w - 13.\nAnswer: -12933420*w**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 824*f**2 - 3297*f. Give d(4).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9423931 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1006*r + 444*r**2 - 449*r**2 - 3482*r.\nAnswer: -5*r**2 - 2476*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5\/432 (b) -4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 29 = -5. Let i be 6\/x*(-4)\/1. Suppose -i*z - 12 = -42. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-84726.9\nAnswer: -8472.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5218504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 357.463 - 357. Let n = -0.063 + y. Which is the smallest value? (a) -1 (b) 1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -15\/2. Let j = -0.4 - 0. Let r = -21 - -20.9. What is the nearest to r in -4, j, z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684)\/sqrt(108))\/(sqrt(6)\/sqrt(2)*-4) + 1 + sqrt(57)\/sqrt(3) + -3 + 4*sqrt(684).\nAnswer: -2 + 299*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32725137.\nAnswer: 3, 29, 509, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*r - 6*r + 4413*r**2 - 4355*r**2 wrt r.\nAnswer: 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 4 + 14. Is 24 a factor of 2\/6 - 430\/d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2001536431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + c + 4*c)*(0 - 1 - 1)*((2*c + c - 5*c)*(0*c - 5*c + 3*c) - 81624 - 289*c**2 + 81624)*(-3*c - c + 2*c).\nAnswer: -3420*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 204300 to the nearest ten thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by 12221.\nAnswer: -15\/12221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 5*a + 112 = 0, 581*a - 300*a - 83 = t + 285*a for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 7 - 6 + 0 - 12*g**2 to h*g**2 + u + a*g and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -157, -1225.\nAnswer: -1225, -157, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 84068393 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 13603\nAnswer: -6801.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 2:06 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5652 - 5689 + 11341 - 28*p**2.\nAnswer: -28*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**2 - 5*s + 1. Let h be a(0). Put h, -2, -1 in increasing order.\nAnswer: -2, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 631297671.\nAnswer: 3, 31, 6788147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -1\/30*v**6 - 7\/4*v**4 + 15*v + 11\/3*v**3 + 0*v**5 - 3 - 3\/2*v**2. Find the second derivative of i(b) wrt b.\nAnswer: -12*b**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4 = -4*w, 3 = -w - 3*d - 3. Suppose -25 = -5*h - 2*v, -4*v + 2*v = -5*h + 5. Let b = -5 - -7. Solve -y = -h*i + 1 - b, w = -2*y + 2*i + 6 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k - 2*k + 2*k)*(-4*k + 8*k + 0*k)*(1 + 3 - 7) to a*k + q*k**2 + w and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -530 times -2?\nAnswer: 1060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -5*h. Suppose 2*s = 2, -5*s + s + 37 = 3*o. What is the remainder when q(-6) is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1882004*f**2 - 14125277 wrt f?\nAnswer: -3764008*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 3. Let v = -9.9 - -10.2. What is the smallest value in 3, v, s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 10*b**2 + 12*b - 11. Let d be j(9). Let l = d - 14. Suppose -5*p + l*s = 162 - 724, 0 = 3*s + 3. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 16*l. Let h(f) be the second derivative of -79*f**3\/3 - 5805*f. Give t(h(v)).\nAnswer: 24964*v**2 + 2528*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 362 and 28417.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 8. Let h(l) = -2*l**2 + 6*l + 6. Let v be h(n). What is the lowest common multiple of 12 and (-36)\/v*(-70)\/(-15)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -0.2 (c) 55 (d) -1\/4 (e) 1\/24 (f) -304\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/5)\/(7 - (-1266)\/(-180)). Let u = -7 - n. Suppose -u*b + 5*j + 76 = -4, -4*j = 4*b - 32. Calculate the remainder when 20 is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -5.81081.\nAnswer: -0.581081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -g - 27, -5836*v + 5835*v + 1 = -3*g for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -141*o + 63*o + 55*o + 62*o + 20. Let t(i) = -2*i. Calculate k(t(n)).\nAnswer: -78*n + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 5*j**2 + 3*j. Let o be b(5). Let f = o - 47. Let q = -16 - f. Calculate the remainder when 47 is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2508080 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: Two letters picked without replacement from {q: 18, u: 1}. What is prob of sequence qq?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -3, 1, 1331\/2?\nAnswer: 1331\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2494*n**2. Let d(h) = 328432*h**2. What is o(d(v))?\nAnswer: 269021741088256*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -90738*t**2\/7 - 37488*t\/7 - 3872\/7.\nAnswer: -2*(213*t + 44)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 46001117159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -31, 1, 3 in decreasing order.\nAnswer: 3, 2, 1, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.75 + -0.13864.\nAnswer: 9.61136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -484, -1736, -3754, -6550, -10136, -14524, -19726, -25754?\nAnswer: -32620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3750949?\nAnswer: 37, 101377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4*g - 1771 = 0. Let j be g\/66 + (-1)\/(-6). Suppose -5*i + 109 = 2*y, -313 = -5*y - 3*i + j*i. What are the prime factors of y?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + 56259\nAnswer: 56259.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32155 is divided by 201?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-2)\/f)**(9\/8)*(f*f**(-4))\/f**(-2\/5) assuming f is positive.\nAnswer: f**(-97\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**2\/7 - 401318*i\/7 - 34899528\/7 = 0. Calculate i.\nAnswer: -200572, -87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a**3*b - 60*a**3 + 37*a**2*b + 1452*b wrt a?\nAnswer: 3*a**2*b - 180*a**2 + 74*a*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89057.92ml to litres.\nAnswer: 89.05792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -40 and 405680244202.\nAnswer: 405680244162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2*g**2 + 2\/5*g**4 - 8\/5*g**3 - 4\/5*g.\nAnswer: 2*g*(g - 2)*(g - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + 20*d - 34. Let q be v(18). Suppose -w - 305 = -q*b, -b - 4*b - 5*w + 785 = 0. Is b a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2967 = 3*i - 3*n, 3*n = -4*i + 2*n + 3966. Suppose -4*b - i = -13723. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108904226 is divided by 262.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61\/2 of a litre?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 7*p - 1. Let s = -126 + 157. Let q = -31 + s. Suppose 5*d + q*d = -20. Calculate i(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t - 5*d + 104 = 0, -t - 3*d = -0*d - d - 0*d - 28 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -j**2\/2 - 9*j + 67. Calculate n(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1147*s + 42 = 1105*s. Sort 38, s, 3 in decreasing order.\nAnswer: 38, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/(-2))\/1 - 22. List the prime factors of 0 + -3*(-3)\/(q\/(-996)).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, p: 2, d: 2, z: 4}. Give prob of picking 2 z and 2 k.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -540*l**2 - 671*l**2 - 146*l**2 - 370*l**2 - 9*l**2 in the form s*l**2 + j*l + u and give s.\nAnswer: -1736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -488168*c. Let j(v) = -10*v. Determine j(f(r)).\nAnswer: 4881680*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 405*b**2 - 125*b**2 + 1224 - 4*b - 93*b**2 - 91*b**2 - 97*b**2.\nAnswer: -b**2 - 4*b + 1224","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 0*o - 967692 + 0*o + 967689 + 16*o**2. Let a(b) = 36*b**2. Determine a(c(v)).\nAnswer: 9216*v**4 - 3456*v**2 + 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 404488 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -2. Let q be 3\/(j*(-3)\/9). Let m = q - -5. Let d(b) = -b**3 - 3*b**2 + 3*b. Give d(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1213.61 from 2.\nAnswer: 1215.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297 = -2084*l + 2117*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r + 14. Determine s(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102257.\nAnswer: 293, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -6 + -4 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 3470 = 2*x, 17*k - 8 = 13*k. Let f = x + -1237. Does 42 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*f**2 - 2*f**3 - 2*f + 1 - 6*f**2 to v*f + m*f**2 + j*f**3 + x and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) -6257 (c) -2\/11 (d) 0 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55\/(-22) - (-588)\/210.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 10:41 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 23\/264 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1562442868?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -327179*r**3 + 110736 wrt r.\nAnswer: -981537*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/24 and -145\/21582?\nAnswer: 86328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*j**5 - j**2 + 3*j**2 - 7*j**2 - 2*j**5 wrt j.\nAnswer: -420*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2*(2 - 1) + 16 - 2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(-2\/9))\/q)\/((q\/(q\/(q**5*q*q)))\/q))\/(q**(4\/9)*q**5)*((q\/(q**(-4)*q))\/(q*q*q**(-1\/3)))**(-40) assuming q is positive.\nAnswer: q**(-941\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -5, -7, 5\/4, 0.4 in increasing order.\nAnswer: -7, -5, 2\/9, 0.4, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*p - 11*p - 7*p + 54 + 68.\nAnswer: 3*p + 122","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1503734*p**6*z - 3*p**4*z**3 + 4949*p**2*z**2 + 2*p**2*z - 2*p**2 + 26*p + 3*z**3 wrt p.\nAnswer: -180448080*p**3*z - 72*p*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 2:08 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 2:28 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -194.9574294 + 194.96. Round g to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4*t - 31. Calculate y(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2326 = -668*d + 1395 - 1049. Solve 113*q + 2*v = 109*q + 26, -2*q = -2*v - d for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 232 and 50808.\nAnswer: 50808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 948986 and 1136?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8857 is divided by 369?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6801 + 5441 + 6568 = 95*z. Calculate the highest common factor of 36 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*r - 2*r + r)*(0*r - r + 2*r) - 2*r**2 - 10*r**2 + 0*r**2)*(5*r - r**2 - 5*r) + 2*r**4 + 2*r**4 - 6*r**4.\nAnswer: 13*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/962 and -137\/156.\nAnswer: 5772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 312 a factor of 184704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 134030 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*x - x**2 + 2*x + (-2 + 0 + 0)*(16*x**2 + 16*x**2 - 10*x**2).\nAnswer: -45*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1746 - -190. Suppose 12*x = x + s. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.882 + -1.382. What is the biggest value in g, 47, 1?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -188*l**7\/105 - 65*l**3\/3 + 366*l**2. Differentiate k(o) wrt o.\nAnswer: -1504*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 57, 0.262, 5 in descending order.\nAnswer: 57, 5, 0.262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1776 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1695728, 3391428, 5087132, 6782840, 8478552?\n\"Answer: 2*k**2 + 1695694*k + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**2 - 24*z - 29. Let p be c(-10). Solve -4 = -3*t + p for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 0*p + p + 602 = 0, 0 = -3*y + 3*p + 366. Calculate the smallest common multiple of 27 and y.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a meter in millimeters?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/330*-3*8\/(-6)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/3628 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 12:41 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2030 and 6380.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 1\/5, -0.24, -1\/3?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -217*k - 8. Let o(u) = -203*u - 9. Determine -13*o(g) + 14*z(g).\nAnswer: -399*g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1433\/578 or 3?\nAnswer: 1433\/578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/10*-2)\/(900\/(-200)). Which is the nearest to 204? (a) 2 (b) j (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(3 - 30\/9). Suppose -c*q + 13 = 4. Solve -5*w = -3*o + q - 11, 3*o + 4*w = 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 948\/(-30)*(-45)\/6 is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*x**2 - 3 + 7*x**2 + 3*x**2 + 7*x**2.\nAnswer: 55*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -1021002121211?\nAnswer: 1021002121210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 2*k + 20, 0*k + 5*k + 23 = -i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-42)\/(-7) + 2 + 5510 + 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 2086531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qhq when three letters picked without replacement from hhhhhhqhhqhhhhhhhqhh?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -140 (base 13) to base 4\nAnswer: -3131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-7)\/2 + 2)*(-4)\/3. Suppose 2*m = 4*r - 3014, -4*m - 18 = o. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 59*k. Let v be y(4). Let b be (4 - v\/32) + 3. What is the second smallest value in -1\/6, 0.4, b?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 213803.116 - 0.2.\nAnswer: 213802.916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 4) + (1 + -5 + 6 - 11)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -51, -126, -273, -516, -879, -1386?\nAnswer: -2061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**2 - w**2 + 0*w**2 + (-w + w - 2*w)*(0 + 0 - w) + 3*w**2 - w**2 + 0*w**2 - 6*w**2 + 2*w**2 - 2 + w**2.\nAnswer: 3*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.096, -1, 1\/2?\nAnswer: -0.096","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*b - 9*b + 563722 = -627806. What is the ten thousands digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 225.748 rounded to the nearest 10?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 2*z + 4*z)*(4*z**2 - 2*z**2 - z**2) + z**3 - 2*z**2 + 2*z**2 - 6*z**3 - 6*z**2 + 6*z**2 + (0*z + 0*z + z**3)*(4 + 1 - 3) - 1 + 2*z**3 + 1.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -334, -588, -844, -1102, -1362, -1624, -1888?\n\"Answer: -r**2 - 251*r - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 3*d = 2005 - 1950, 2*d - 26 = 2*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/4 - ((-1582035)\/366)\/(-455)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.1 + 2.4. Let o = u + 1.1. Which is the third smallest value? (a) o (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -774 (b) -0.3 (c) 1 (d) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/52 - -47\/260. Which is bigger: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.06, -5, 0.3, 4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 - 52 = m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 10*b**2 - 14*b - 39. What are the prime factors of c(-15)?\nAnswer: 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11563 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + 54071949\nAnswer: 54071948.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.47788 years in months?\nAnswer: 749.73456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x + 2*x - 4*x. Let s(l) be the first derivative of 2*l**3 - 516. Calculate s(k(b)).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -1\/16, 5\/6, 1\/5, 281?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -4*t**2 - 2*t - 2. Let d(a) = -5*a - 2 + 20*a**2 - 3 - 9*a**2 - 18*a**2. Calculate 2*d(y) - 5*k(y).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 1 - 49. Suppose -p = -u + 2, 0 = 2*p - 5*u + 7 + z. Solve 0 = -4*i + p*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7006 and 1130?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((20 - 9 - 16) + (6 - 3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 105945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-5)*i\/(i*i**(4\/11))*(i*(i\/(i**7\/i))\/i)\/i*(i*i**(-2\/13)*i)\/i)**(1\/3))**(29\/3) assuming i is positive.\nAnswer: i**(-43616\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*z + 1, 0 = 5*z - 3*n - 0*n + 3. Suppose 72 = 3*i - z*i + 4*y, -y + 120 = 5*i. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 2*b - 23. Let x be s(11). Let d = x - -24. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -a - 4*a + 2*a - 2882*a + 1399*a - 1990*a + (-3 + 3 + 1)*(-2*a + 4*a + 0*a) - 4*a + 0*a + 3*a in the form k + s*a and give s.\nAnswer: -3475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a milligram in micrograms?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13863626 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 46*b**2 + 25*b + 10. Is s(46) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -5. Calculate the least common multiple of 13 and b.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 less than 55\/116881?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7150 = -5*w + 32*x - 37*x, -3*w = -x - 4282. Calculate the greatest common factor of 34 and w.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 5*a = 2. What is the derivative of -1 - 3*w**2 + 3*w**a + 4 + w**2 wrt w?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r + 10. Let k be u(13). Suppose k*i = 25*i + 792. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4*o**2 + 188*o + 50226. Give v(138).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 3 - 77. Suppose -2 = g - 2*g. Suppose 3*z - 21 = -3*u, g*u - 31 = -5*z - 2*u. Solve -z*k - 3*n = -6*n - 9, 4*k = 5*n + m for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112212111022201000 + 10?\nAnswer: 112212111022201010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3468 + 328?\nAnswer: 3807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-5)\/((-20)\/2)*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 23810490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**4\/2 - 21*x**3\/2 + 89*x**2\/2 + 249*x\/2 - 351 = 0 for x.\nAnswer: -3, 2, 9, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -0*v - 2*v - 10, l = -4*v + 5. Suppose 2*o = l*s, -5*o + 29 = s + s. Solve s*x - 7 = -3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t - 14. Let l be h(6). Let f = -3 + 2.9. Which is the third smallest value? (a) f (b) 0 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12805 divided by -72.\nAnswer: -12805\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3798, -3142, -2486, -1830, -1174?\n\"Answer: 656*k - 4454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -10*z**2 - 2*z + 9. Let l(x) = 8*x**2 + 3*x - 9. Let o(h) = 4*l(h) + 3*w(h). Let q be o(-4). Is q less than 7\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7 - (7 - 0))\/(2 - 0). Solve m = -8*s - 8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (1520\/(-36))\/(-10).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -16 - (539 + -594)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(10\/(-4) + 3). Let q = 187 - h. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (134 + -94 - (1 - -3)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*j + 2*j**5 - 2*j - j**5 - 3*j**5 + 22*j**5 + 0*j**5 + (j**3 + j**2 - j**2)*(3*j - 3*j - j**2) - 3*j**5 + 3*j**5 - j**5 - 2*j**5 - j**5 + 2*j**5.\nAnswer: 17*j**5 + 8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5*b**2 + 5*b + 7. Let j be k(5). Let o(t) = t**3 + 9*t**2 + 15*t - 37. Let n be o(-8). Is n < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 12*h**2 - 27*h - 3. What is v(-14)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 v when two letters picked without replacement from yvxkpzv?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 11*u - 1. Let p be (-3)\/(-12) - -7*(-69)\/12. Let a = 47 + p. Suppose -2*q - 5*k + 1 + 7 = 0, -q - 4*k + a = 0. Determine i(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 5*a**2 + 3*a - 2. Let l(y) = -14*y**2 - 9*y + 6. Let f(c) = 6*l(c) + 17*w(c). Determine f(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.046 - -0.046. What is the smallest value in z, 3, 0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213*k - 104*k - 102*k.\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i - 1. Let r(p) = p**2 - 193*p + 184. Let m(w) = 6*q(w) + r(w). What is the derivative of m(k) wrt k?\nAnswer: 2*k - 181","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 6:45 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1143878 - 762069. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of q**4\/6 + 17*q**3\/3 + 30*q**2 - 196*q. Solve t(z) = 0.\nAnswer: -15, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9952 is divided by 284?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6302 - 4753 + 34*j + 15815 - 4760.\nAnswer: 34*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 6*z**2 - 5*z + 3. Suppose -13 = -4*j - 5*i, -5*j - 4*i = -i - 13. Let l(k) = 3*k**2 - 2*k + 1. Calculate j*d(y) - 5*l(y).\nAnswer: -3*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1483\/6 - -19429\/78. Which is the closest to -1? (a) 0.4 (b) 4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 268*r + 14301 = 495*r. What is the highest common divisor of 9513 and r?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -42, -40, -40, -42, -46?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 39\/(-9) - (-23)\/69\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/l**(2\/3)*l)\/l)**12*(l**(-1)*l)**(-2\/75))\/((l*l**(-1\/5))\/l*l**5*l)**(-19\/5) assuming l is positive.\nAnswer: l**(951\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103384363.\nAnswer: 107, 966209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 684 - 4145\/6. Find the common denominator of -133\/6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 258 and 14362.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 86 = 2*f - 32, -5*k + 71 = f. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*m*p**2 + 2*m*p - 5*m + 18*p**2 - 32 wrt p?\nAnswer: -18*m + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 119781888 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and 0.79.\nAnswer: -1.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -5 - (3 - (1 - -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*g**4 - 370*g**3 - 660*g**2 - 280*g + 160 = 0. Calculate g.\nAnswer: -2, 4\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000161487 rounded to seven decimal places?\nAnswer: 0.0000161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26 in 0.0375, 3, 5, 2, -1\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence isvn when four letters picked without replacement from {b: 2, v: 1, s: 3, x: 4, i: 4, n: 1}.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1379 * -211.5.\nAnswer: 291658.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.35 and -3?\nAnswer: 7.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven quarters of a century?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 28*k**2 + 33. Let x(s) = 56*s**2 + 67. Let y(j) = -10*p(j) + 4*x(j). Find the first derivative of y(m) wrt m.\nAnswer: -112*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24\/(-6)*(-2 - -1). Suppose -2*x = i*r - 6, -3*r = x - 4 - 2. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27235575, 54471154, 81706733, 108942312, 136177891, 163413470?\nAnswer: 190649049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2641*k - 1031*k - 112367 + 304691 = 699*k for k.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 412 - 412. Solve w = 5*p - 52 + 27 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 4*q = 0. Let t = q - -3. What is the units digit of ((-3)\/3 - -2)*t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 0. Let n(f) = f + 4*f - f**3 - 10*f + 4*f + f**2. Let h(y) = -2*y**3 + 8*y**2 - 2*y. Let b(a) = k*n(a) + h(a). Let b(j) = 0. Calculate j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 134, 3, 30786.\nAnswer: 3, 134, 30786","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -547 + 577. Let f(g) = -g**3 + 8*g**2 + 6. What is the remainder when f(7) is divided by n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, d: 2, f: 3}. What is prob of picking 2 d and 1 k?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 119*w**3 + 175*w**2 + 8*w + 6. What is the thousands digit of k(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66434 and 28362.\nAnswer: 942100554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7178490 by -5.\nAnswer: 1435698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (27\/(-21) - -1) + 0. Let q = 0 - -8. Let w = q - 7.8. Which is the second biggest value? (a) 4 (b) w (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 326944 divided by -17.\nAnswer: -19232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 110621340 = -19*n. Suppose 14734370 + n = 9*i. What is i rounded to the nearest one hundred thousand?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2476 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c + 30*i - 26*i - 45, -2*c - 4*i + 30 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bycn when four letters picked without replacement from {n: 1, b: 1, y: 2, w: 6, c: 9}?\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 5\/(-12) + (-14)\/56?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*v + 130872 = -57*v - 324*v. Which is the nearest to v? (a) 15 (b) -3 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -4 + -13 + (29 + -18 - -17).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h - 1. Let c(w) = 12*w - 6. Let d(i) = c(i) - 6*k(i). Let j(f) = -2*f + 3. Let y(l) = -3*l + 5. Let q(z) = 5*j(z) - 3*y(z). Calculate q(d(s)).\nAnswer: -18*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -7. Let i be (-1 - 4 - (7 + -11))\/(-2). What is the nearest to i in s, 7\/5, -0.9?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/sqrt(225))\/((sqrt(160)\/sqrt(5) - sqrt(32)) + sqrt(2)) - (sqrt(30)*2*-5 - sqrt(30))\/(-2*sqrt(864) - sqrt(864)).\nAnswer: -19*sqrt(5)\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a microgram in nanograms?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 (base 11) in base 16?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 526022435*h + 108026020?\nAnswer: 526022435","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus 108?\nAnswer: 107.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.2 (b) 1 (c) -0.09 (d) -29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**4. Let p(h) = -13*h**4 + 6*h**3 - 9*h**2. Let d(z) = -6*a(z) - p(z). Factor d(f).\nAnswer: f**2*(f - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 1, -3\/5, -3, 221.9313?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/13, 3, -5, 7, 9\/7?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-2\/7)*q)\/(q*q**15))\/(q\/(q*((q*(q\/q**(-14))\/q*q*q*q)\/q)\/q)*q**(-2\/13)) assuming q is positive.\nAnswer: q**(222\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 114 - 71. What is the remainder when v is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 0, -3\/5, -2\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41709 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, -9, 25, 2\/11, 4 in descending order.\nAnswer: 72, 25, 4, 2\/11, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -34537866, -69075732, -103613600, -138151470?\n\"Answer: -b**2 - 34537863*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98 + 200 - 718*o - 102 + 205*o.\nAnswer: -513*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71*a**2*x**5 + 4*a**2*x**2 + 19065*a**2*x + 2*a**2 - 8259*x**5 wrt x.\nAnswer: -4260*a**2*x**2 - 495540*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5917831665?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-10))\/1*-6*(-28)\/168.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11482427 (base 10) to base 7.\nAnswer: -166412315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) -2 (c) -13\/5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 92, 373, 840, 1493?\n\"Answer: 93*l**2 + 2*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**2 - 479*c + 4346. Calculate z(9).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2311.52053 rounded to the nearest integer?\nAnswer: -2312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5.92? (a) -4 (b) 5 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -220486494562 - -5.62.\nAnswer: -220486494556.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 59429*v - 1901695. Give h(32).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*d - 357 = -489. Calculate the lowest common multiple of d and 309.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.045 times 15\nAnswer: 0.675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15\/273*1172\/15. Let m = z - 73\/78. Find the common denominator of m and 160\/(-32) + 154\/(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/99039920 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 2*q + 3. Let c(h) = 5*h**2 + h + 1. Let k be c(-1). Let s be j(k). Let v = s + -1. Solve 3*x - 2 = -v for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3370*v + 10096. Give d(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4644.7 + 4815. Round b to the nearest 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + r + 2 = 50, f - 3*r - 25 = 0. Solve -i - 3*o + 28 = -8*o, -i + 2*o = -f for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -11*p**3 - 7*p**2 - 2. Let i(g) = 5*g**3 + 3*g**2 + 1. Let a = -26 + 15. Let r be (0 - -2)\/2 - a. Suppose r = 4*k - 0*k. What is k*u(v) + 7*i(v)?\nAnswer: 2*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 - 11*h + 104. Suppose -17 - 223 = 10*a. What are the prime factors of y(a)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48545*q**3 + 2*q**2 + 60*q - 140 wrt q.\nAnswer: 291270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 26*p**2 + 11\/6*p**4 + 0 - 1\/6*p**3 + 0*p. What are the prime factors of k(3)?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of 43*q**6\/60 - 11*q**4\/24 + 122*q**2. Let p(b) = 17*b**3 - 2*b. What is 2*j(k) - 11*p(k)?\nAnswer: -15*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/2*15\/(-6). Let p(l) = -l**2 - 9*l + 12. Let s be p(-8). What is the greatest common divisor of n and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 3*n**2 - 4*n + 2. Let i be u(-4). Suppose i*r - 4*f - 2 = -14, 4*r = -4*f + 36. Let z(j) = 31*j + 3. Is z(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4.6088682088 and 0.5.\nAnswer: 5.1088682088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*t**2 - t**3 - 9*t**2 - t**4 - 5 - 3*t**2 + 12 in the form o*t**2 + b + x*t**3 + r*t**4 + u*t and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5290704 is divided by 2118.\nAnswer: 2058","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 158*r + 3. Let i be g(-2). List the prime factors of 2 + -4 + 1 - i.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/117)\/((-220)\/(-396)).\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -332*p**5 + 5934*p**2 + 7064*p**2 - 1047*p**5 - 13864*p**2 wrt p?\nAnswer: -82740*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2 + 5*q - 1. Let u = 22 - 16. Let f be 3*2\/(u\/(-5)). Does 6 divide p(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 6*j**2 + 3*j. Let p(h) = h**3 + 7*h**2 - 4*h. Let c = 85 + -81. Let f(z) = c*p(z) + 5*i(z). Give f(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-65) + (3894\/24662 - (-54)\/(-2470)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129333900 divided by -885?\nAnswer: -146140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -537 by 18732.\nAnswer: -179\/6244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 k when three letters picked without replacement from kmommmmho?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i + 13. Let h be r(-11). Suppose 4*a = h + 24. Calculate the remainder when 33 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.9 - 1.5. Let k = 3.4 - y. Let d = 38 - 28. Which is the closest to d? (a) k (b) -5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t**2 - t**2 - 2*t**2)*(-t - 1 + 1)*(350*t - 62*t - 159*t) + (-t**3 - t**3 + 4*t**3)*(-1 + t + 1) - t**4 + 0*t + 0*t.\nAnswer: -257*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 31501385 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25471 - -1400948\/55. Let g = z - 3\/5. What is the fourth biggest value in -1, -12, g, 4\/7?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1874.104 to the nearest 10.\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -148 divided by 2.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 59415 and 697?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 7*z**3 - 5*z**2 + 5*z - 5. Suppose 0 = -2*m + 4, 4*m - 2*m - 28 = 4*a. Let b(c) = -6*c**3 + 6*c**2 - 6*c + 6. Calculate a*s(x) - 5*b(x).\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 4*j + 312, -35*z + 36*z - j = 72. Solve z*t = 50*t - 50 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - 5681.787235\nAnswer: -5681.487235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + 2*j - 24. Suppose -j = -3*h - h, -s - 1 = -2*h. Solve 0 = -p + 2*z - 1, -2*p - s*z - 26 = -6 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -95\/18 + 71\/18. Let t = -8 - -6. Put t, r, -2\/9 in decreasing order.\nAnswer: -2\/9, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + d + 11. Let c(p) = p**2 - 2*p - 3. Let i be c(3). What is the remainder when k(i) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**5\/60 - h**4\/3 - 2*h**3\/3 - 8*h**2. Let k be r(6). Let d = k - -16. Solve d = 3*c - 0*c + 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 9*n + 15 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7286644525 a multiple of 350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 18088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*t**5 + 5*t + t + 25*t**5 wrt t?\nAnswer: 360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*d**2*i*o**3 - 2778974*d**2*i + 3*d*i*o**2 - 5*d*i*o + 770*d*i - 159*d*o**3 + 9 wrt d.\nAnswer: -48*i*o**3 - 5557948*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/3 or 0.79273157?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23235 - -46?\nAnswer: -23156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y**2 + y + 1. Let o(b) be the third derivative of b**5\/60 + b**4\/24 + b**3\/6 - 5*b**2. Let x(p) = c(p) + 2*o(p). What is x(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20930 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 3*h - 1115 + 1169, h + q = -17 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 8527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -520443, -520455, -520475, -520503, -520539, -520583?\nAnswer: -520635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*c + 10 = 0. Suppose 4*o - 35 = -c*j, 3*o = j + 6 + 6. Suppose -10 = -t - t - n, o*n + 48 = 4*t. Is t a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.59 times 0.5\nAnswer: 1.795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/12*(645\/258)\/(10\/(-22))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2 + 3*a**2 + 7*a**3 + a**2 + 0*a**2 - 6*a - 3*a**2. Let y(m) = 3*m + 4*m - 30*m**3 + 29*m**3 - 6*m. Give r(f) + 6*y(f).\nAnswer: f**3 + f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 < 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39836 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 625 and 25225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 496216, 1985661, 4468070, 7943443, 12411780, 17873081, 24327346?\n\"Answer: 496482*r**2 - r - 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l. Give f(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000014471 rounded to six decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 30431349019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -k**5\/90 - 67*k**4\/12 + 406*k**3\/9 - 3468*k**2. Factor t(y).\nAnswer: -2*(y - 2)*(y + 203)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -385, 4 in ascending order.\nAnswer: -385, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**3 - 26574*f**2 - 89234142*f - 6373257554 = 0. Calculate f.\nAnswer: -6607, -73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-136)\/(-28900))\/(219\/1825)\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 33 = 6*y, 5*y + 14 = -5*r - 26 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7965.13668 - -7965. Let f = -0.1152 - q. What is f rounded to 3 decimal places?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/120*-4*2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3\/8 + 1365*f**2\/4 - 120081*f\/8 - 15351.\nAnswer: 3*(f - 43)*(f + 1)*(f + 952)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217*i + 247*i = 0. Suppose 5*f + 10 = z, -3*z + 2*f + 21 = -6*z. Sort 0.2, i, z.\nAnswer: z, i, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(20\/7)\/(((k**(13\/2)\/k)\/k)\/k))\/(k**(-2\/45)\/k*k*k*k\/k**(-19)))**(-45\/2) assuming k is positive.\nAnswer: k**(13607\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.3 - 1.9. What is the nearest to 3\/10 in -1\/2, 2\/9, -5, f?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-1))\/((-7)\/14)*1\/(-1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 65*t + 70. Let k(m) = -9*m**2 - 648*m - 702. Let p(v) = 2*k(v) + 21*q(v). Factor p(y).\nAnswer: 3*(y + 1)*(y + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -2, 7, 2\/9, -338, -1\/2 in descending order.\nAnswer: 7, 2\/9, -0.2, -1\/2, -2, -338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 37*f**2 - 1 - 3.\nAnswer: -37*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*d + 3*d**4 - 38 + 23 + 16 as o*d + s*d**3 + t + p*d**4 + w*d**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of 0 - 1\/300*a**6 + 0*a - 51*a**2 - 1\/4*a**4 + 0*a**3 - 8\/75*a**5. Solve d(p) = 0.\nAnswer: -15, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -643 in 29\/3, 5, 0.4, 33?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of v**5\/10 + v**2\/2 + 6*v. Calculate the remainder when 7 is divided by j(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -4 + 20. Let f = y + -5. Calculate the greatest common factor of 33 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/3))**2*(i**(-1))**(-5\/7) assuming i is positive.\nAnswer: i**(-13\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3313*s*v**2 + 5061*s*v - 215914631*s wrt v.\nAnswer: -6626*s*v + 5061*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 124067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p + 5*b - 245 = 18*p, -p - 4*p + 9*p - 12*b = -588 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/2267544 and 63\/5912?\nAnswer: 1675715016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67\/(-268) - (-203402)\/8?\nAnswer: 3, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-133)\/(0 + -1) - (-11 + 12). Suppose -36 = -4*l - z. Let w = -23 - l. Solve -w + 0 = -c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + (-1 + 2 - -1). Let d = 4 - g. Is d\/(-4) - 294\/(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k**3 - 11*k**2 + 11*k + 17. Let g(u) = -265*u**3 + 538*u**3 + 6 - 4*u**2 - 272*u**3 + 4*u. Determine -11*g(j) + 4*h(j).\nAnswer: 5*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -611, 4, 1, 0 in increasing order.\nAnswer: -611, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20842303.\nAnswer: 53, 73, 5387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 79*r**2 + 268*r - 542. What is the remainder when a(2) is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -25*z + 29*z - 116, 4*z - 116 = -3*y. Calculate the remainder when ((-525)\/(-350))\/(2\/100 - 0) is divided by z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 320 and 500?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7254\/72 - 60) + -31.\nAnswer: 39\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1108.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w - 3. Let v = -4 + 11. What are the prime factors of r(v)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -160\/20831 or 0?\nAnswer: -160\/20831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -a + 5*j + 10, -3*j - 6 = a. Suppose 3*i = -9, a = 5*k + 3*i - 452 - 284. What are the prime factors of k?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 72 = -0*f. Suppose 4 = -4*c + f. Suppose -4*k + 75 = -3*i, -c*k + 4*i = -41 - 53. Calculate the highest common divisor of 27 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 75.43111mg?\nAnswer: 0.00000007543111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m + 4*m + 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 76386664993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(3\/2)*45. Suppose -2*n = 3*n - 20. Calculate the remainder when (-3)\/(-6)*n + l is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ydyyysylydyszsys. Give prob of sequence dlz.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152*h + 93*h - 60*h.\nAnswer: 185*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19549702?\nAnswer: 2, 41, 419, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.5 and 0.3.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4534*u + 2582*u + 2464*u + 2391*u.\nAnswer: 2903*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 22 = -14*o, 4960*u - 5*o - 16 = 4957*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 - 374 = -2*q + 5*l, 0 = -5*l - 20. Suppose 0 = -3*g + 319 - q. Calculate the highest common divisor of 663 and g.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5*t**2 + 15*t + 4. Let l(p) = 7*p - 20. Let z be l(2). Let u(k) = 2*k**2 + 7*k + 2. Let h(s) = z*r(s) + 14*u(s). Give h(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -4*j**3 - 3*j**2 + 84*j - 19. Let u be g(-9). Let q = -531 + u. What are the prime factors of q?\nAnswer: 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4*m + 689, -4*m = -r - 4*r - 683. What are the prime factors of m?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o + 16, 2*l + 4*o = -3 + 15 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) + sqrt(1215)*1 + sqrt(1215))\/(4*sqrt(20) - sqrt(5)) + -5)**2 + -4.\nAnswer: -190*sqrt(3)\/7 + 2112\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1102011 + -30?\nAnswer: 1101541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5636028, 11271932, 16907836?\nAnswer: 22543740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 344.1465ml to litres.\nAnswer: 0.3441465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -12, -4, -168, -189 in descending order.\nAnswer: 5, -2, -4, -12, -168, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37679 + -17659. What is the ten thousands digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/((-4)\/(4*-1)). Let i = -5 + o. Suppose 22 + 2 = 3*l. What is the smallest common multiple of l and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 127873210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1028 + 2*p + 0*p + 547 - 9*p + 483 + p.\nAnswer: -6*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 38938 = -30404. Let k = 14795 + z. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*b**2 - 3)*(-b**2 + 1 - 1 + 2*b - 1).\nAnswer: 2*b**4 - 4*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of w**5\/60 + w**4\/6 + 6*w**2. Find the second derivative of a(l) wrt l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21457672 (base 8) to base 13.\nAnswer: c56313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 16*b - 186. Determine v(10).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 10 = 2*o. Let m be 9\/(180\/(-176)) - 7\/35. What is the nearest to -2 in o, -4, m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 10\/8 - -1)*(-492)\/(-923238)*-417?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 10:43 AM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 222566 at least 222567?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of 0*r**3 + 0 - 12*r**2 - 3\/10*r**5 + 0*r + 7\/12*r**4. What is the second derivative of t(g) wrt g?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((972\/48)\/(-9))\/(15\/(-20)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(1584) + (sqrt(1584)*2 - sqrt(1584)) + sqrt(1584) + 2 - sqrt(1584) - (sqrt(1584) + -3*(sqrt(1584) + 1))))**2.\nAnswer: 384*sqrt(11) + 25360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 78 and 8341?\nAnswer: 650598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78276?\nAnswer: 2, 3, 11, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -17*v + 5*v. Suppose 0 = 3*g + 6*u - 11*u - 57, 38 = 2*g + v*u. What is the lowest common multiple of 19 and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104 (base 9) to base 13.\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -117385, -114361, -111337, -108313?\nAnswer: -105289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 1\/10*b**6 - 3 + 3\/4*b**4 - 12\/25*b**5 + 0*b**2 + 0*b - 2\/5*b**3. Find j such that p(j) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 260 - 259. Do t and 30\/781 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 416 and 988.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1113*j + 1858*j - 111647 - 109103 = -1444*j for j.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of t**5\/12 - t**3\/3 + t**2 + 4. Let m(w) be the second derivative of f(w). Let n(c) = -c**2. Determine m(b) + 6*n(b).\nAnswer: -b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/(-6)*152\/(-12). Let p(w) = 7*w**2 - 24 - q + 48 - 9*w**3. Let t(h) = 5*h**3 - 4*h**2 - 3. Let o = -2 - -5. Give o*p(i) + 5*t(i).\nAnswer: -2*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 5 + (9 - 4) + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 72\/4 + -5 + (-6)\/(-3). Suppose -217 = -3*i + 2*q, 2*i + 4*q + 0*q = 166. What is the highest common factor of i and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19368912161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -3 - ((-8)\/(-36) - -1)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1585539 a multiple of 241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-15)\/8*3\/(-4) and -17\/10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 154\/14*112\/88.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-33800)\/(-1170))\/((-38)\/171)\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -46582*i + 88179.\nAnswer: -46582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 8, 2*w + d + 0*d - 6 = 0. Suppose -8*i = -216 + 200. Suppose -i*q - 17*q = 0. Solve -4*c + w = -5*t - q, 3*t = 3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*d + 8*d**2 + 98*d.\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*g + 7843 = 145*g - 713 for g.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -480e (base 15) to base 16\nAnswer: -3bd2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 23\/((-69)\/(-18)) - 6*(-5)\/(-10). Factor 5\/9*f**j + 0 - 1\/9*f**4 - 1\/3*f**2 - f.\nAnswer: -f*(f - 3)**2*(f + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(25\/(-5) - (-6637)\/1327).\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*c - 42*c - 10*c + 1112955 - 1112955 - 20*c.\nAnswer: -106*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 2 g, and 1 c when four letters picked without replacement from gccyygyccgydcccycc.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 27419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33201 + 213?\nAnswer: 33414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/sqrt(2)*-2 + sqrt(13)*1 + 0.\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -2\/3*c**3 + 0 - 6*c**2 - 1\/12*c**4 + 0*c. Let o be r(-2). Let k(s) = -s - 12. Determine k(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-720)\/(-600) - 22\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*s - s - 3*s)*(24 - 24 + 4*s) as v*s**2 + x*s + u and give v.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*n + 22*n - 141 - 27*n + 102 in the form h*n + p and give p.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -6. Suppose 2*s - u*h = -3*s + 75, s - 4*h = 30. Let b(n) = -31*n - 3. Let m be b(-3). What is the greatest common divisor of s and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108155 is divided by 783?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-6*(0 + 1 + sqrt(1872) + 5)**2*5*5*2.\nAnswer: -1144800 - 86400*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.01, 2\/13, 3\/5, -4, -2.5, 2.72?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 192493959 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218040 is divided by 43556?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 101432183 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 14 + -38?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.058 * 3.\nAnswer: -0.174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 4*u**2 - 27*u + 110. Let b be o(4). Sort 909, 1, b in ascending order.\nAnswer: 1, b, 909","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 191 - 4 - (-2 - (0 + -5))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 5:39 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 1719?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + -1 + (-2 - -4). Suppose h*i = -4*z + 10, -3*i - 2*z = 5 - 13. Let d(p) = 4*p + 4. Let l(n) = -5*n - 5. What is i*d(a) + 5*l(a)?\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3 + 7. Let x be 2\/p + 710\/(-20). Let k = -14 - x. Does 17 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-325)\/65*27\/(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42714901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1097\/3 or -53980?\nAnswer: -53980","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6bac + -16?\nAnswer: 6b96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8657 - 825577.32.\nAnswer: -825578.1857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, b: 1, l: 1, p: 1, a: 2}. What is prob of picking 1 b and 1 p?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 3*p - 2*p)*(-3*p + 0*p + 4*p)*(18*p + 8*p - 7*p).\nAnswer: 38*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 0. Let c be (-2)\/(-1)*(-1 - -2). Calculate the remainder when 32 is divided by ((-33)\/(-6))\/(j\/c).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 4:54 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2657, 10598, 23833, 42362, 66185, 95302?\nAnswer: 129713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 2 (b) 0.2 (c) 3.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m - m + 2*m)*(-2*m + 4 - 4) + 2*m**2 - 3*m**2 - m**2 + (6*m - 57 + 57)*(9*m + 6 + 10*m - 17*m).\nAnswer: 12*m**2 + 36*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = d - 21, 2*d - 132 + 140 = 4*x. Solve d = -4*p - 10, q = -4*p - 15 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -210.86 - -211. Let y = b + 0.16. Let k = 0.3 + -0.2. Is y != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11989936*l**4 + 177279*l**2?\nAnswer: -287758464*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.618 minus 49.1?\nAnswer: -56.718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + d - 28*d**3 - 26*d**3 + 56*d**3 to j*d**2 + z + n*d + i*d**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 159792 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3738*f**2 + 772*f wrt f.\nAnswer: -7476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.037 + 1597272857\nAnswer: 1597272856.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3719*w - 6933. Calculate d(2).\nAnswer: 505","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/158899 and -27\/46735?\nAnswer: 794495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + 15082.\nAnswer: 15081.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*-1*(-5)\/(-2). Suppose 68 = 4*z - 4*q, 2*z + a*q - 43 = -z. Calculate the remainder when 45 is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0.025 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 422098 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l + 15. Suppose 0 = r + 6 + 7. Let z be v(r). Is -2 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (3 + 3 + -5 + 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -4, -16935, 0.2, -0.3 in descending order.\nAnswer: 0.2, -0.3, -1, -4, -5, -16935","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(847)*3)*1 - (sqrt(11) + (sqrt(352)\/sqrt(8))\/sqrt(4) - (-1 + sqrt(11))*5).\nAnswer: -5 + 100*sqrt(11)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**5\/2 + 1449*n**4 - 32259*n**3\/2 - 8529*n**2 + 257688*n - 234480 = 0. What is n?\nAnswer: -977, -4, 1, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*i + 3 + (-i + 4*i - 2*i)*(-5 + 3 + 1))*(-5*i + 3*i + 3*i)*(-2 - 37824*i**3 + 41492*i**3 + 2).\nAnswer: 3668*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 4*u - 21 = 0, 18 + 7 = 5*i + 5*u for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -229, -226, -223?\nAnswer: -220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/8 - (-1)\/(-4). Suppose -5*t - 4*g - 27 + 67 = p, 0 = t + 3*g - 19. Solve -t*d + 5*v = -20, -2*v = 2*v + 16 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27430.78 + -1033\nAnswer: -28463.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + n**2 + 2*n + 6022. Is h(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.706 and -53.\nAnswer: -37.418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 140.35 - 3.35. Let p = q - 152.2. Let d = p - -15. Is d bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i + 13*i + 9*i.\nAnswer: 14*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + w**2 - 54. Let z be p(0). Let c = 29 - z. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-1528.\nAnswer: -3056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 4)*(-8*z + 1 - 2659*z**2 + 1339*z**2 - 3*z**3 + 1333*z**2)*(2 - 2 - 1).\nAnswer: 9*z**3 - 39*z**2 + 24*z - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2618 and 1818663.\nAnswer: 61834542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 117139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/21 + (-234)\/(-14). Let g = 43 - n. What is g rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 1 = 3*s. Suppose -13 = -0*o - 2*o - 3*u, 0 = o + 4*u - 14. Suppose 3*d + 0*f + 1 = -o*f, -4*f = -4. Sort -3, d, s.\nAnswer: -3, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10.66 - -57.64. Let d = 68 - z. Sort 3\/4, d, 4, -3\/5 in descending order.\nAnswer: 4, 3\/4, d, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 58961.\nAnswer: -2\/58961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200 is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 183939 and 78831?\nAnswer: 551817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 - -53. Suppose -4*v + 9 = h, -2*h = -3*v + 6*v - 8. Solve b = -4*f - h for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 32*n - 18. List the prime factors of o(9).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1232 - -3?\nAnswer: 1301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 5*f**2 - 10*f - 11. Let p(v) be the first derivative of -v**3\/3 + v**2 + 2*v + 27. Determine 11*p(y) + 2*w(y).\nAnswer: -y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -533 + 946?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z - 8*z + 2*z + 5*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -5*z + 5, q - 4*z + 0 = -4. Let g be 250 + q + -1 + 2. Let f = g - 174. Calculate the greatest common factor of f and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -3*i**3 - 1833*i**2 - 307785*i - 8268579 = 0.\nAnswer: -289, -33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = m + t - 2, 2*m - 5*t + 7 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-100)\/40)\/(10\/(-1)))\/((-2)\/6).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -9, -16, -4 in increasing order.\nAnswer: -16, -9, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -1216*t + 1212*t + 28, -5*t + 35 = 3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-23 + 1))\/(-1). Let n = 10229\/4 - 2557. Which is the closest to n? (a) 0 (b) -0.4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - x**2 + 1. Let n = -23 + 22. Let r(b) = 2*b**3 - b**2 - 36. Let z(s) = n*r(s) + i(s). Is z(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (40\/(-35))\/((-6)\/21). Suppose 2*g - 96 = -5*a + o*a, 3*g - 3*a = 144. List the prime factors of 16\/8 + g\/1.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22593600.\nAnswer: 2, 3, 5, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 w when four letters picked without replacement from wwwuwuuwww.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.164 - 0.164. Let r = 154 - 4772\/31. What is the nearest to 1 in v, 1, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 40 = 3*f. Suppose 30 = s + 2*s - 3*o, 3*s - f*o = 34. Suppose -4*g + 8*a = 5*a - 6, -s = 2*g + 4*a. Solve g*x = -3*x + 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 26, 57, 112, 197, 318, 481?\nAnswer: 692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 174934 and 338917.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3)\/(-4) - ((-4758)\/(-40))\/13 and (-2)\/(14\/(-11)) - 1?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 6*j**2 - 105*j - 7. Give r(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/11 - (0 + (-225)\/33). Suppose -5*m - l = -j, -5*m + 13 = -0*m - l. Solve 5*s + 3 = -3*v + m, -3*v = -9 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 535\/15 + (-4)\/6. Is 6\/(2 + 1) + c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 6) + 0 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.89 in 2\/17, 646, -1, 5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hrb when three letters picked without replacement from {h: 2, l: 1, p: 7, r: 1, b: 2, t: 1}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29377210847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/9 and -31\/21.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(162) - (3 + sqrt(162)*2)**2) - ((5 + sqrt(162) + 2 + sqrt(162) - sqrt(162))**2 + ((1 + sqrt(162))*5)**2)) + 4.\nAnswer: -2311 - 279*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express a**3 - a**3 + a**3 + (-3 + 3 - a)*(2*a + 2*a**2 - 2*a) - a**3 + 155 + 682*a**2 - 682*a**2 in the form n + r*a**3 + t*a + y*a**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26963 is divided by 139?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61 + -17. Suppose 0 = -2*w + 4*z - z + 30, -3*z - 66 = -5*w. Suppose 16*d - p = w*d. What is the lowest common multiple of d and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/4, -1\/30, 81\/4, 4, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1714*s = 1664*s + 46700. What are the prime factors of s?\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0 = -3. Suppose 3 = -m - 2*x - 0*x, -5*m - 3*x + 6 = 0. Solve 2*g - m = u + 5, 5*u + w*g + 14 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/13, -2\/5, -7\/2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**5 + 17*h**4 - 104*h**3 + 132*h**2.\nAnswer: h**2*(h - 3)*(h - 2)*(h + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = a + 5*n, -a + 4*a - n - 4 = 0. Suppose a*v = -u - 4, 0*v = -3*u - v + 4. Solve 2*f = -u*f - 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*n = 16, -3*n = -2*t - 22. Let i = t - -736. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of 11*n**4\/4 + n**3 - 1091*n**2\/2 - 60*n + 7. Differentiate r(o) wrt o.\nAnswer: 66*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 16) to base 7\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert c70e (base 15) to base 12.\nAnswer: 20435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 330230 (base 5) to base 6.\nAnswer: 124215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 24a84179 - -12?\nAnswer: 24a84190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 438725, 442492, 446257, 450020, 453781, 457540?\n\"Answer: -h**2 + 3770*h + 434956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of 0*h**4 + 0*h + h**2 - 1\/20*h**5 + 0 + 1\/3*h**3. Find the first derivative of b(w) wrt w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 17*u + 17. Let j be s(-11). What is the second derivative of -11*z + 9 - 8 + j*z**2 + 2*z**4 - 4*z**4 + 0 wrt z?\nAnswer: -24*z**2 + 166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 1554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 5:33 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -87 + 523\/6. Let b be 4\/(-22) + (-70)\/(-22). Let i = 2 - b. Which is greater: v or i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 10*c - 22. Let b be d(-12). Suppose 0 = b*s - s - 82. List the prime factors of s.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -205 (b) 5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1560 = 8*y - 3*y. Suppose 0 = t + 282 + 270. Let q = y + t. What is q rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(133)*-2)\/(sqrt(343) + -4*sqrt(343) + sqrt(343)).\nAnswer: -3*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + c + 4. Let t = -3 + 0. What is the smallest common multiple of z(t) and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(112) + 5 - sqrt(112))**2 + ((-4*sqrt(21)\/sqrt(3))**2 - -1*sqrt(567)).\nAnswer: 9*sqrt(7) + 137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, s: 6, q: 1, f: 2, c: 3}. What is prob of sequence fs?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -7155*b**5 + 10509*b**4 + 21404*b**3\/3 + 976*b**2 - 224*b\/3 - 16 = 0. What is b?\nAnswer: -2\/9, -1\/5, 6\/53, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 10*r + 1 + r - 7*r + 7*r. Does 3 divide x(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**5 + 107*v**4 + 2287*v**3 - 14235*v**2.\nAnswer: v**2*(v - 5)*(v + 39)*(v + 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 17. Let i = -53 + 51. Let r = i - a. What is the biggest value in r, -5, -1\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1545, -3088, -4631, -6174, -7717?\nAnswer: -9260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/14912084 and -17\/55581404.\nAnswer: 611395444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 12. Suppose u*p - 3*p = -3. Suppose -95 = -4*r + p*q, r = 3*r + 3*q - 25. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18265?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -430346 by 5.\nAnswer: -430346\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 12398 (base 11) to base 12\nAnswer: a351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60590 and 557428.\nAnswer: 2787140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g - 8*y + 4 = 22, 0 = 112*g - 109*g + 5*y - 35 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -54056 divided by -116\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 7:10 PM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r**3 + 2*r**3 - 5*r**3)*(41728 - 41728 + 447*r)*(0 + 2 + 0) to c*r**3 + h + i*r**4 + b*r + f*r**2 and give i.\nAnswer: -1788","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 648 = 7*t + 333. Let h(v) = -26*v - 21*v + t*v + 3 - 1. Calculate h(11).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -1366*m + 1604. Let t be u(3). Do -2493 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 20.54. Let b = -7.74 - h. What is b rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 14*y**2. Let p(i) = -5*i - 3*i + 7*i - 3*i. Determine r(p(q)).\nAnswer: 224*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -39? (a) 0.24 (b) 0.1 (c) 0.06 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -5*i**2. Let c(n) = -n + 1. Let g(t) = t + 1. Let f(z) = -c(z) + g(z). What is x(f(u))?\nAnswer: -20*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96 and 26367962.\nAnswer: 1265662176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 148 by 74.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/(-6)*(-7)\/(-84). Let o be -1 + 0 - (-3 - -1). Let k = 0.3 + -0.4. What is the closest to k in o, -1\/4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 89 and 8776824?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -4*p**2. Let c(d) = 12*d - 766 + 766. Determine v(c(b)).\nAnswer: -576*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 3)*(2*w + 1 - 1) + 61 - 61 - 165*w.\nAnswer: -161*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*a + 2*k - 8 = -54*a, 0 = a + 4*k + 4. Solve -3*b + 11 = -3*x - a, 3*x - b + 9 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1904000 rounded to the nearest 100000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -722*t**3\/13 + 127642*t**2\/13 + 26896*t\/13 + 1416\/13.\nAnswer: -2*(t - 177)*(19*t + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 717 and 57?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 1915*c**5 - 2*c**3 - c**2 + 37*c + 3. Let a(v) = v**5 - 2*v**3 - v**2 - 1. Let x(i) = a(i) - j(i). What is the second derivative of x(r) wrt r?\nAnswer: -38280*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1009, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -d**6\/360 + 47*d**5\/90 + 95*d**4\/72 + 1590*d**2. Factor j(r).\nAnswer: -r*(r - 95)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (-6 - -8) - 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2266 and 4738.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 1826?\nAnswer: 14608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a = -a - 196. Let i(p) = -7*p - 6*p**2 + 10*p**2 - 21 + 14 + a. Let x(l) = 9*l**2 - 15*l + 15. Calculate -13*i(o) + 6*x(o).\nAnswer: 2*o**2 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 6*p - 106, -5*p = -9*p + 5*a + 82. Let d be (6\/(-2) - -1) + 5. Solve 7*k = d*u + 4*k, 4*u = -5*k - p for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8353*a + 8368*a - 16777*a.\nAnswer: -56*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 132*t**2 + 260*t - 2202. Determine f(-134).\nAnswer: -1130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - s**2 + 25. Give r(0).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 15801122 divided by -1\nAnswer: -15801122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of a**3\/3 + 3*a**2\/2 - 2*a. Let i = 45 + -47. Calculate o(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2310*x - 16431*x + 38376*x + 45626*x.\nAnswer: 69881*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, k: 7}. What is prob of sequence kkoo?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 78*d**2 + 3*d - 7. Let t be l(3). Find the second derivative of -9*m + 3*m**2 + 2 + t*m**3 - 704*m**3 + m**5 wrt m.\nAnswer: 20*m**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -61 - -102. Is t a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*t = 4*j - 100*t + 47, 4*j + 37 = -11*t for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2463, -4814, -7151, -9468, -11759, -14018, -16239?\nAnswer: -18416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 2\/5 (b) -231 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4*(sqrt(243)*2)**2.\nAnswer: 3887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*n**2 - 4\/7 + 2\/7*n.\nAnswer: 2*(n - 1)*(n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -632, -1519, -2406, -3293?\nAnswer: -4180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 4*j - 28 - 6 = -10*l + 2*l, -21*l + 3*j + 114 = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/sqrt(225) - sqrt(19)) + 3.\nAnswer: -4*sqrt(19)\/5 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -0*o - 28. Suppose -2 = 4*y + o. Let u be (-16)\/(-3) + (-12)\/36. What is the smallest value in -1, u, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -37*p - 65. What is b(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 4 - -2)*4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 2:05 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -386 + 161. Let f be h\/(-33) + (-12)\/(-66). Sort f, -5, 2 in descending order.\nAnswer: f, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirty-two fifths of a kilogram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 17, -1, -255, -32 in ascending order.\nAnswer: -255, -32, -1, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116059?\nAnswer: 17, 6827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + -ab79242?\nAnswer: -ab79238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -81*h + 2763. Give a(34).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 14 = 2*q, 8*w + 2*q - 21 = 3*w. Suppose w*d - 100 = 5*k, k - 2*d - 85 = 4*k. Let s = k - -37. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 + -47. Sort -2, b, -6, 3 in ascending order.\nAnswer: -6, b, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.4 - 2.1. Let i = -1.7 + j. Let w = i + -1.6. Which is the third biggest value? (a) 0 (b) w (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.143155232*-1.\nAnswer: -0.143155232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**2*h - 6*f**2 - 3*f*h - 67*f wrt f.\nAnswer: -2*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 7546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 6*q - 3. Let t be -4*2*(q\/(-4))\/(-3). Let b be ((-33)\/3)\/(t\/(-14)). What is the highest common divisor of b and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 63 + 9?\nAnswer: 6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r + 3*r - 2*r**2 + (2*r**2 - 2*r**2 + r**2)*(-1 + 6 + 4) to v + g*r + m*r**2 and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**5 + 0*k**2 + 0*k**2 - 1973 + 1973 + 31*k**5 + k**4 + (k - 4*k - k)*(-13*k**2 + 13*k**2 + 2*k**4).\nAnswer: 24*k**5 + k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 0 - 8*i + 0*i**2 + 10*i**2 + 6*i**2 + i**2 as z + f*i + w*i**2 and give w.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 671\/75 - -34\/75. Let h = -155887\/60 - -2597. Calculate the common denominator of l and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 10*x**2 + 10*x + 9. Let a be w(-9). Suppose 0 = -a*t + 2*t + 6. Let n = 15 + t. Solve 0 = 2*s + 2*s - n for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-44)\/(-1) - 39\/13. Suppose -77 = 6*c - r. Let l(o) = o**3 + 5*o**2 - 6*o - 7. Calculate l(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*i + 55 = -85. Let j be 6\/(-4)*3\/1*i. Solve -10*c - j = -c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccr when three letters picked without replacement from pcprpcpcr?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(4\/9)*z**(-1\/4))\/(((z*z**(2\/13))\/z*z)\/(z**(-1\/7)\/z*z)))\/((z**0)**(-1\/7)*(z**4*z)\/(z\/(z\/z**(4\/5)))) assuming z is positive.\nAnswer: z**(-86851\/16380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.3886 - -0.3296. Let y = t + 0.149. Let a = -1.987 - y. Round a to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1656 and 364091318892?\nAnswer: 364091320548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*v + 35*v = 692*v + 28908 for v.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -49 (b) 3 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/5 of a day?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/1175005 and -49\/520?\nAnswer: 9400040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(75) + sqrt(3))**2 - ((sqrt(21)\/sqrt(7)*-4)**2 + sqrt(3)).\nAnswer: -sqrt(3) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3105 + 402?\nAnswer: 3510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2148\/29 or -73?\nAnswer: -2148\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35.3 + -35.2. Which is the nearest to r? (a) -0.4 (b) 2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 2)*(-144 + 27 - 72 + 26)*(-4*v - 4*v + 6*v) + 2*v - 8 + 8 + (1 - 1 + 2*v)*(-4 - 2 + 3) to the form x + u*v and give u.\nAnswer: 974","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.16 (b) 1 (c) -41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-19 - (12 + -14 + 8 - -2)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-8)*(j*j*j*j**20)\/j*j)**(15\/11) assuming j is positive.\nAnswer: j**(225\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5 = 8. Suppose 4*j + 12 = -4*t, 5*t = -7*j + s*j - 17. Let q(o) = o**2 - 5*o + 2. What is the units digit of q(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2316\/20 + 8\/(-10). Let j = -61 + u. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 648, 649, 650, 651, 652, 653?\nAnswer: 654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 383 + -383. Let l(i) = 2*i + 2. Let f be l(1). Solve -d = -h*d + f for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 25783?\nAnswer: -4\/25783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 100068 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8342 and 766733.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -11*a + 222. What is q(20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j - 4. Let y be 3\/9 + (-560)\/(-84). Give b(y).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of 0 - 5\/6*z**3 - 4*z - z**2. Calculate n(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212022?\nAnswer: 2, 3, 11779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*a + 5*y, -4*a + 11 = y + 1. Factor -1\/2*i - i**2 + 0 - 1\/2*i**a.\nAnswer: -i*(i + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/12)\/((-5)\/(-20))*(-27)\/108\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*h**3 - 21*h**2 + 21*h**2 + 128*h**3 - 64*h**3.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 293 + -263. Let l = 10925\/8 - 1368. Calculate the common denominator of 20\/o*(-570)\/(-1688) and l.\nAnswer: 1688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-50))\/(22\/(-20)*-2).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*i + 58 = -130 - 43 - 29 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 40390, 40408, 40426, 40444, 40462, 40480?\n\"Answer: 18*n + 40372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-16 - (-4 - 19)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 6*x - 20. Let v be i(-5). Let t = v + 32. Let h = t + 33. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4969 times -0.3?\nAnswer: -1490.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 3*a - 0*a + 19, -25 = -4*b - a. What is the highest common divisor of 56 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**2)**0)**25\/(((g**0*g*g)\/g**5)\/(g**(-1\/11)*g**5)) assuming g is positive.\nAnswer: g**(87\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -2426*m**5\/15 + 5*m**4\/24 - 131*m**3\/6 + m**2 + 5644*m. What is the second derivative of l(u) wrt u?\nAnswer: -19408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - (-25)\/60*-6*36337088\/(-40) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 59838 = -55410 + 42943. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-6 - 3 - -17) + -24\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/4 and 6\/(-3)*-1 - (3060\/(-200) - -21).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6257479\/11550 - 100038\/275. Let i = 2725\/3 + k. Calculate the common denominator of i and -95\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(5\/2)*m*m)\/m**(-2\/3)*(m\/m**0)**26)**18 assuming m is positive.\nAnswer: m**579","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 6*l + 2. Let z be t(-6). Suppose -z = -x - 6. Sort x, 0, 4 in decreasing order.\nAnswer: 4, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3*j)*(-8*j**2 - 8*j**3 + 8*j**2 + (j - 2 + 2)*(-2 + 2*j**2 + 2) + 0 + 2*j**3 + 0 + 3*j**2 - 3*j**2 - j**3).\nAnswer: -15*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 440 + 183937888*r - 440 - 183937889*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -7*n - 3. Let x(z) = 8*z + 2. Let y(q) = 3*i(q) + 2*x(q). Let s(c) = c**3 + c**2 + 6*c + 6. Let t(b) = 2*s(b) + 3*y(b). What is t(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 + -42. Let b(m) = -2*m**2 + 2*m. Calculate b(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 8:15 PM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2085 = -4*v, -2*v + 594 = j - 451. What is the smallest common multiple of v and 32?\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 580 = -195. Suppose -2*h - 3*h + q = 0. Calculate the remainder when h is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -614 - -404. Let s = n + 855. What is the hundreds digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -287097 + 5\nAnswer: -287092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -6 + (6 - (4 + 2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30801 and 345104671.\nAnswer: 10267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3546092*v**2 - 10*v + 116330?\nAnswer: 7092184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1069*q = -3*z - 1070*q - 9, 4*z + 12 = q for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00025575 rounded to 5 decimal places?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + -20 + (-9 - -6 - -12) + 0?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -45 + 50 - (5 - -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4086 + 14513. What is the thousands digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -45*i**2 - i. Let b be t(1). Let d = -42 - b. Solve -d*q = q + 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 2046430.\nAnswer: -2, 2, 2046430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 (base 15) in base 10?\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -1436*p - 33064. Determine c(-23).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/2)\/(13\/6006). Let n = j - 180. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -824 at least as big as -824?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/2)\/((-3)\/(-20)). Suppose -b - 2 = 3*o. What is the lowest common multiple of ((-2)\/o)\/(1\/18) and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-4) - (-17)\/(-102))\/(-2). Sort d, -2, 1\/4 in decreasing order.\nAnswer: 1\/4, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 286\/(-24 + 13)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4\/141 + -395\/987. Let k = -0.9 - -1. Which is the second smallest value? (a) o (b) k (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*f + 236 - 56 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-8 + -9 + 12)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 14563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 2*y**2 - 2*y + 12. Let t be b(-4). What is the remainder when ((-32)\/(-6))\/(t\/(-36)) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 7, g: 2, b: 1}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-15)*30\/4 + (-144)\/24. Solve k = 15*o + 17*o - 128 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 8475*q**2 - 16938*q**2 + 8473*q**2 - 15*q**3 + 3*q**3 in the form i*q + o + g*q**2 + k*q**3 and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-106)\/6)\/(1\/(-3)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 15*o - 16. Determine v(-6).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j = 17*j - 16. Let q be ((-9)\/j)\/((65\/40)\/(-13)). Is 19 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 151566 - -1147811. Suppose 201900623 = 4*n - p. Round n to the nearest 1000000.\nAnswer: 51000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2.181, -17, 0.5, -63, -5\/2, 2?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 divided by -10?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12474 = -4*g - 2314. Let j = 81253\/22 + g. Find the common denominator of j and 149\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -383*z**2 + 175*z**2 + 198*z**2.\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (23\/(-92))\/(35\/(1330\/152))?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by 5\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -0*p + 4. Suppose 2*t + 2*t - p*o = 10, 4*o = -2*t + 10. Suppose -t*k - 13 + 52 = 0. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*w**4 - w**3*y**2 + 37651*w**3*y - 55*w**2 - 13796*y**2 - 2 wrt w.\nAnswer: 600*w - 6*y**2 + 225906*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8274.548nm in centimeters?\nAnswer: 0.0008274548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = a - 2. Let v be a\/(-3) - 2\/6. Is 4 a factor of 1*(v - -2) + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 59?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -3*f - 838, 0 = 3*g - 4*f - 3*f - 508. Suppose -b - 2*s + 62 = 0, -3*b + b + s + 144 = 0. Let v = g + b. What are the prime factors of v?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**5 + 91*n**4 - 3498*n**3 + 15794*n**2 - 21463*n + 9075 = 0.\nAnswer: -121, 1, 3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - u = -5*u - 3020, u = -b + 1016. Let z = -512 + b. Calculate the least common multiple of z and 6.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/21 and -47\/3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*(-4*(-3 + 0 + sqrt(1331)) + (sqrt(1331) + 1 - sqrt(1331))*-4 + 0 + 3 + -1))**2.\nAnswer: -1056*sqrt(11) + 21440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.05 - 1. Let y = -3.95 - o. Let w = 197 + -196.5. Which is the third biggest value? (a) y (b) w (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n + 18. Let v be p(4). Is 4\/14 + 1074\/v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 0*m + 0*m**4 + 0*m**5 - 7\/120*m**6 - 1\/6*m**3 + m**2 + 0. What is the units digit of q(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 6:10 AM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100011011110010 + -101?\nAnswer: 11100011011101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a + -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 0*j**4 + j**4 + 9*j - 4*j + 0*j + 2*j**2 + 2*j - 2*j**3 to the form m*j**4 + g + k*j**3 + x*j + w*j**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - 3*f**2 + 30 - 2*f**3 - 55)*(8*f**2 + 6*f**2 + f**2).\nAnswer: -30*f**5 - 45*f**4 + 60*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 242241912 divided by -40373652?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 55\/2 of a kilogram?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 5868*a - 5865*a. Let o(x) = 3*x + 16. Determine o(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 82464723 by 297.\nAnswer: 277659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 41067 to the power of 1\/2, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*m**3 - 2*m**3 + 8*m**3)*(0*m + 4*m - 3*m)*(2 + 0 + 2) to z*m + k*m**4 + i*m**2 + b*m**3 + c and give k.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -43, -5.\nAnswer: -43, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -309972, -619961, -929950, -1239939, -1549928, -1859917?\nAnswer: -2169906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25 or -76529\/3198?\nAnswer: -76529\/3198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -379 + -163?\nAnswer: -542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 16 = -3*a. Suppose -a = -l - l. Solve l*q - s - s = -20, 0 = -5*s for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -176771*c**2 + 1590936*c + 4. What is z(9)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3891723?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {p: 3, z: 17}.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) - (sqrt(1008) + sqrt(1008) + -5 + sqrt(1008)*-1 - sqrt(1008))**2)*4.\nAnswer: -100 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2075245*t**2 - 23*t - 26. Let x be g(-2). 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 -5511614 (base 7) in base 10?\nAnswer: -675329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 19265*x**3 - 9*x**2 - 9*x. Let t(o) = 5712072*o**3 - 2668*o**2 - 2668*o. Calculate -2668*a(f) + 9*t(f).\nAnswer: 9628*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 59 and 94732292789?\nAnswer: 94732292730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**3 + n - 2*n**3 - n**4 - 6*n**2 - 2*n**3 + 19*n**3 - 2 - 9*n**3 in the form b*n + k + j*n**3 + z*n**4 + i*n**2 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 70*z - 463. What is the units digit of w(36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in -2\/3, 3, -1\/14, -38?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96898868 and 254732?\nAnswer: 5924","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -6 - 2 - 3 + 2*k - 3. Let d be c(8). Solve 8 + 2 = -d*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1121200212122 (base 3) to base 14\nAnswer: 18565b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s + 75 = 75 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-6) - (-2)\/3. Let w(s) be the first derivative of s - 13. Let m(j) = j - 6. Give h*m(t) + 6*w(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j - 2*a + 2028 - 2096, 14*a - 15*a = 4*j + 47 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*r - 100*r + 44*r + 150 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.7 - -0.3. Let w be 6\/(-2)*(2 - 3). Let g be ((-4)\/6)\/((-4)\/6). What is the closest to d in w, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 35\/7 + (-1)\/(1\/3). Suppose 0 = 3*g + y - 37 - 25, -g = -l*y - 23. What is the highest common divisor of g and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7376450\/189 + 39029. What is the common denominator of -17\/1782 and x?\nAnswer: 12474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-13 + (-127)\/(-10))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2428\/1797 or -1?\nAnswer: -2428\/1797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/105*-3*25235\/(-12360)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 57593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -48*f + 625*f - 205*f + (-f + 4*f - 2*f)*(-1 - 5 + 4).\nAnswer: 370*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19972 or -179750\/9?\nAnswer: -179750\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/7 + (-368)\/(-14). Suppose -13*f = -398 - 109. Calculate the greatest common divisor of u and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 3*s - 1. Let k be x(-4). Calculate the highest common divisor of k and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -4*i + 4*a + 16, 3*i - 3*a = 30. Let s = 5 - i. Let g(f) = -f - 3. Let k(r) = -r - 1. Calculate s*k(c) + g(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -1. Suppose z = 3*d - 2*d + 13. Let i = d + 19. Is i a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**4 + 2*i**5 + 2*i**5 - 6*i**5 + 0*i**4 = 0 for i.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 150120900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-2 - 1 - -5). Suppose i*m - 3*b - 30 = -3*m, -m - 5*b = 20. Suppose -m*q + 60 = -q. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*y + 13512 + 2266 = -36*y. Calculate the remainder when 1111 is divided by y.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54 - 49 - 45 - 11 - 23*a + 207 - 48.\nAnswer: -23*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.094508524 to five decimal places.\nAnswer: -0.09451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 1541592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 85 - ((-47 - 27) + 86)) + 10 + -1.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -31. Let f be -21 - (-10 + 6)\/(-4). Let u = f - k. Which is smaller: u or 0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of 0*f**2 + 11\/56*f**8 + 0*f**5 + 0 - 7*f + 0*f**7 + 0*f**3 + 0*f**6 - 13\/12*f**4. What is the third derivative of m(v) wrt v?\nAnswer: 1320*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21*4\/(-24))\/(11662\/483140)?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0. Let v(j) be the third derivative of 0 + 5*j**2 - 1\/24*j**4 + 0*j + j**3. Determine v(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-18) - (187929\/(-1539) + 161).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -721*b + 3597. Let p be q(5). Let x(k) = k**2 + 7*k - 18. What is x(p)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1.8306, 0, 9 in descending order.\nAnswer: 9, 4, 0, -1.8306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 5*s - 2. Let t be r(4). Which is greater: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 14*j - 150. Calculate the remainder when j is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -55*t**3 - 40*t**2 - 9*t + 3. Let l(u) = 27*u**3 + 22*u**2 + 5*u - 1. Calculate 6*f(d) + 11*l(d).\nAnswer: -33*d**3 + 2*d**2 + d + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*2\/(-12)*2. Let z(i) = i - p + 1. Let f(r) = 4*r**2. Give z(f(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 275 - 92. Suppose 7*a - 370 = t. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -11. Suppose 2*n - 3*n + 8 = -4*g, 10 = -5*g + 5*n. Let w be g - (-4 - 1\/i). Sort w, -3, 4.\nAnswer: -3, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -42, -2, -3, 30 in decreasing order.\nAnswer: 30, 16, -2, -3, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 16*v**2 + 2*v - 6. Let o be d(16). What is the highest common divisor of o and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 15 = 3*t. Let s = 58 + -41. Suppose -t*x = -2*x - s. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 742088\nAnswer: 5\/371044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6109*27\/(-18)*(-8)\/(-132). Let z = s + 555. Find the common denominator of 59\/9 and z.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 divided by -108134\nAnswer: -35\/108134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(3\/4)*h**0)\/((h*h**(-5))\/h**(-2\/7)) assuming h is positive.\nAnswer: h**(111\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 8820?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -21*w + 21. Let z(a) = 7*a - 21. Calculate 6*x(s) + 5*z(s).\nAnswer: -91*s + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15714 (base 10) in base 15?\nAnswer: 49c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -5017?\nAnswer: 5017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.09 - -0.81. Which is the nearest to 0? (a) -5 (b) -0.4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 20001?\nAnswer: 20010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2335777 to the nearest integer?\nAnswer: 1528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9432 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.2466206 decades?\nAnswer: 0.002466206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 312, 683, 1112, 1593, 2120, 2687, 3288, 3917?\n\"Answer: -q**3 + 35*q**2 + 273*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (8\/(-6))\/((-196)\/137739) - -1?\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-6*(-2*sqrt(171) + sqrt(171)) + -1)*-4)**2*-2.\nAnswer: -3152384 + 18432*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vzjk when four letters picked without replacement from {v: 2, j: 1, r: 2, k: 2, z: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29695 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1879742971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 5\/808?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -91.4 + 91.8. Which is the closest to 1? (a) -0.1 (b) -42 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g + 3. Let a(z) = -158*z + 10. Calculate a(f) - 4*y(f).\nAnswer: -150*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 409*a. Let z(q) = -11835*q + 23658*q - 11827*q. Calculate g(z(o)).\nAnswer: -1636*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**3 - g**3 + 2*g**3)*(0 - 2 + 4) + (-4 + 0 + 2)*(-g - g**3 + g) - g + g - g**3 - g**3 - g**3 + g**3 + (-8*g + 9*g + 12*g)*(-3*g**2 + g**2 + 3*g**2).\nAnswer: 15*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -17. Suppose 74997 = -f*j - 3*z, 0 = 4*j - 2*z + 19172 + 40830. Round j to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 0 = 3*t. Suppose -79*k + 91*k = -12. Let a be ((k - -25) + 3)\/(24\/16). Solve a = -5*i - t for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164*x + 34875550 = 34876042. Let w be 1\/(-3) + 1\/3. Suppose 4*b = b + 9. Solve w = b*q - l + 6, -x*l + 0 = q + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8916.4 + 0.2.\nAnswer: 8916.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22869 and 189?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*1269.72.\nAnswer: 5078.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**4 + 1358*w**3 - 260304*w**2 + 9463960*w + 93074624 = 0.\nAnswer: -8, 59, 314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-6))\/(1*(-4)\/6*10).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 6, -113*y = -108*y - 3*m - 11 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/829440 and -167\/5760.\nAnswer: 829440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 - 1.1. Let t = 3.9 - -1.2. Let g = t - d. What is the third biggest value in 0, g, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 396 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 234.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -1 - 5*z**2 + 4*z + z**3 + z - 3. Let u be (-2)\/(-2) + 1*3. Let d be m(u). Sort d, 5, -5 in descending order.\nAnswer: 5, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2355 + -1510. What is the third derivative of -48*k**4 - 68*k**2 + 845*k - p*k wrt k?\nAnswer: -1152*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 170.131 + -170. Round c to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 8*u)*(-3*u + u + u)*(3 - 3 + 5*u) as p*u**3 + c*u + y + z*u**2 and give p.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l**2*s + 31134*l**2 + 48923*s + 2 wrt l.\nAnswer: 2*l*s + 62268*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.919 rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00131163576 to 5 decimal places.\nAnswer: -0.00131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 14884*z**2\/7 + 7517640*z\/7 + 949256100\/7 = 0.\nAnswer: -15405\/61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 7*a**2 + 5*a. Let k(h) = -5*h**2 - 7*h. Let q(l) = 2*k(l) + 3*r(l). Calculate q(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -67545, -67660, -67775, -67890, -68005?\n\"Answer: -115*g - 67430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 254043 + -1302?\nAnswer: 252341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/(-50)*7\/(-35).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5077, 10132, 15161, 20164?\n\"Answer: -13*k**2 + 5094*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11*(-2)\/(-44))\/((-2)\/(-96))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24398 is divided by 979?\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrbrrrrbr. What is prob of sequence brb?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -2*a**3\/3 + 1. Let w(k) = 12*k**2. Let l(m) = 2*m**2. Let f(n) = 12*l(n) - w(n). Determine y(f(j)).\nAnswer: -288*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 319596?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 3*b**4\/16 - 19*b**3\/4 - 267*b**2\/2 + 585*b - 8098. Factor j(h).\nAnswer: 3*(h - 30)*(h - 2)*(h + 13)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*d + 81*d + n = -57, d = -5*n + 35. Solve m - 18*q + d*q = 3, -4*m = -4*q - 24 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -932.4572 + -0.9428. Let z = 863.53 + t. Let v = -69 - z. What is v rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -12. Suppose -51 - 15 = -6*n. What is the lowest common multiple of (2 + -1)*(5 - x) and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269*p + 269*p - 9*p**2.\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 338509 and 338.\nAnswer: 114416042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-300)\/10*((-2)\/99)\/(510\/765).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 5*p - 17*p**2 + 5*p - 10.\nAnswer: -17*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8758 is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*s + 31*s**3 + s**3 - 2*s**3 - 16*s**3 to the form h*s + l*s**2 + m*s**3 + j and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 18*g**2 - 38*g - 10. Let p be v(-20). Let s = -41 - p. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -2\/19, -0.22, 1\/5 in decreasing order.\nAnswer: 1\/5, -2\/19, -0.22, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 16. Let d be (-3)\/(-9)*0*9\/(-90). Determine y(d).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*c - 3. Suppose 5*w = -x - 167 - 27, 5*w + 202 = -c*x. Let r = -24 - w. Does 14 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 12:39 AM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5286866*v**2 - 5867151*v wrt v?\nAnswer: -10573732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 10) + 2 + (19 - 12) + -19?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 17*k + 18. Let f be o(10). Calculate the greatest common divisor of f and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8262 divided by -18?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 46 (b) 7\/9 (c) -0.5 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 39.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -955043, -955046, -955049, -955052, -955055, -955058?\nAnswer: -955061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4104, -16521, -37214, -66183?\n\"Answer: -4138*m**2 - 3*m + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10127531 (base 9) in base 8?\nAnswer: -22425404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 9:34 PM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, t: 2}. Give prob of sequence tbt.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1))**(-26)\/(l**(2\/11))**(-3)*(l*l**2)**(-2\/173)\/(l**(1\/3))**(14\/11) assuming l is positive.\nAnswer: l**(148928\/5709)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -6*r - 171. Let k be f(-38). Suppose -2*h = 4 + 56. Let y = h + k. What is the highest common factor of 9 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 354 - 354 - 12*r as m + p*r and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/27 - 6\/6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-38)\/12 + 3)\/((-54)\/81). Let d(m) be the first derivative of 6*m - 2 - 3*m**2 + 2*m**3 - c*m**4. What is d(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64244864881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 6. Let k(q) = 3*q**3 + 2*q**2 - 2*q + 2. Suppose -131*a + 20 = -151*a. Let l(g) = g**3 - g**2 + g - 1. Give a*k(n) + m*l(n).\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -104, -228, -412, -662, -984, -1384?\nAnswer: -1868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 3 + sqrt(171))*-5)**2 + 0 - -6*(sqrt(171) - ((3*sqrt(171) + 5)**2 + sqrt(171) + sqrt(171)))*-4.\nAnswer: 2082*sqrt(19) + 41836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10195815 to the power of 1\/3, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + f - 2. Let p(v) be the second derivative of -v**4\/12 - v**3\/6 + v**2\/2 - 5*v. Calculate g(n) + 2*p(n).\nAnswer: -n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z - 24. Determine x(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + k)*(1154 - 225 - 554).\nAnswer: 375*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -169*a + 343*a - 167*a. Let z(s) = -32*s. What is z(y(b))?\nAnswer: -224*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 34*d. Let u be b(3). Suppose 5*t = u - 7. Is 8 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 1328*i - 9385. Determine x(7).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 + 22 = -32*x. Is x bigger than 1.13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -833044, -1666142, -2499242, -3332344, -4165448, -4998554, -5831662?\nAnswer: -6664772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13192)\/(-85748))\/((-73)\/(-13))?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*p + 55*p = -824. Let l = p + 225. What is the remainder when 50 is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 899272 = 149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 215282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(1053)*-1)**2.\nAnswer: 1057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.1 + 1.05. Let u = g + 0.25. Which is the smallest value? (a) u (b) -6\/7 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a + 17775 - 35551 - 127*a**3 + 0*a + 17776.\nAnswer: -127*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 224 and 20.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/7020 and -57\/728.\nAnswer: 98280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1773936261?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 82, -1, 93, -3, 338?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/21 + 4\/7. Which is the third smallest value? (a) -2 (b) k (c) 1 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23986 divided by -1424.\nAnswer: 11993\/712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 65*c**2 - 313*c - 757. What is i(-60)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52460528 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6170)\/(-5) - (-10 - (7 + -19)). What is the highest common factor of c and 238?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26967.3 millennia in decades?\nAnswer: 2696730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1259.5*-7\nAnswer: -8816.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0 + 19 = -5*f, 0 = -f - 5. Solve 0 = 4*m - j + 11 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1603 is divided by 352?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -4*r**2 + 148*r = 0.\nAnswer: 0, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 520*y**2 - 143*y**5 - 21 + 456*y**5 - 1 + 22 wrt y.\nAnswer: 18780*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 83 + -308. What is the remainder when (x\/(-20))\/((-2)\/(-8)) is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -130.3, 1, -1, 1\/2, -0.28?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -777 + 767. What is the closest to b in 2, 1\/3, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.064*0.1294\nAnswer: 0.0082816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -708 at most as big as 239?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11696 and 34691798.\nAnswer: 277534384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.06 (b) 1422 (c) 5 (d) -40\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -131 + 286. Does 5 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**2 - 281960*d - 2255808 = 0.\nAnswer: -8, 140988","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 2:29 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22905*y**2 - 6493*y wrt y.\nAnswer: -45810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 100 = -4*h, -5*x - 168 = h + 38. Let u be 12\/x - (-58)\/(-42). Let j = 3 + -5. Is u not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 23, -3, -59, -151, -285, -467?\n\"Answer: -c**3 - 9*c**2 + 8*c + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 (base 9) in base 3?\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 23*k**2 + 9*k - 5. Let v be f(2). Suppose 12*x = -v + 357. Let g = 138 + -75. Calculate the highest common divisor of g and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1056470 to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -11*f**3 - 703*f**2 + 60*f - 88. Let t be j(-64). What is the highest common factor of 1288 and t?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4*(sqrt(1539) - (sqrt(1539) + 0 - sqrt(1539))) + sqrt(1539) + sqrt(1539) + 0 + 4)**2.\nAnswer: 324*sqrt(19) + 55413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6))\/(6\/(-18))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4508064.\nAnswer: 2, 3, 11, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(104) - -1*sqrt(104) - sqrt(104))*-6)\/(2*sqrt(72)))**2 + ((-5*1*sqrt(104))\/(sqrt(8) + sqrt(96)\/sqrt(3) + sqrt(8)))**2.\nAnswer: 533\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1794 and 156.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 14*x**2 - 50*x + 144. List the prime factors of v(-25).\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9214777229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/258)\/(13975\/9675)?\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g - 48*g - 37*g = -282 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express k - 121 + 572016*k**3 + k**2 - 52 - 572000*k**3 as u + w*k**2 + p*k**3 + y*k and give u.\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 15*p + 24. Let o be u(8). Let b = o + -140. Solve -2*k + 10 = -4*k + 3*z, b*k = -z - 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1628 + 4886\/3. What is u in 2\/3*u + 0 + t*u**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -2 - (-71 - -81).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by -743\nAnswer: -11\/743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n + 18 + 48 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 280\/(-30) + 9 + (-16)\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -47\/4 (c) 40\/7 (d) -5 (e) -0.9 (f) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 3*g - g)*(-5*g - 4*g + 4*g)*(-6*g**3 - 8*g**3 + 3*g**3) + g**4 - g**4 - g**5.\nAnswer: -56*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16915 >= 16914?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2224181 (base 10) in base 8?\nAnswer: 10370065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57 + 127. Let l be (-7112)\/(-252) - (32\/(-18) - -2). What is the greatest common factor of q and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**3 + 4*l**2 + 4*l - 4. Let x(h) = -6*h**3 + 13*h**2 + 11*h - 11. Let m(d) = -11*i(d) + 4*x(d). What is a in m(a) = 0?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 4*w + 4. Let v be l(1). What is the hundreds digit of v*-16*13 + (-4)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 4:45 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 z, and 2 a when four letters picked without replacement from {z: 1, p: 1, v: 1, a: 2, g: 2, r: 2}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 707269687 to the nearest integer?\nAnswer: 26595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*t + 27 = -85, w = t + 102. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i + 1. Let o(c) = 3*c + 4. What is o(j) - 2*z(j)?\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.132 - -0.222. Let m = 0.09 - v. What is the smallest value in -3, 1, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - l - 39 = 0, -l - 20 - 39 = -3*k. Calculate the remainder when k is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wrwrrrrwrrrrrr. What is prob of sequence rwrw?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2c + -17ad?\nAnswer: -17db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -n**2\/2 + 4. Let v(l) = 7*l. What is f(v(b))?\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 2*t**3 - 180*t**2 + 3198*t + 3380 = 0.\nAnswer: -1, 26, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**1*u)\/u**1)\/(u**(-2\/9)\/u**(-1\/2)))**(-4\/27) assuming u is positive.\nAnswer: u**(-26\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36756241 by -3.\nAnswer: 36756241\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -202248787, -202248786, -202248785, -202248784?\n\"Answer: q - 202248788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5073*v + 573171. Give j(-113).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 108, 374, 908, 1800?\nAnswer: 3140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 35*j + 32*j + 52*j + 123 - 14*j wrt j?\nAnswer: 105","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323.22974 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 87\/(2*(-12)\/(-304)). Calculate the highest common factor of 38 and h.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6.889 and 5.61.\nAnswer: -1.279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 22*v + 22. Suppose 4*g = -j - 37, 3*g + 32 + 85 = -5*j. Calculate the remainder when h(j) is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/88640 and -121\/22160.\nAnswer: 88640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-130)\/4680*(-5)\/(-3)*12.\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*i + 26. Let h(t) = t**3 - 13*t**2 - 2*t - 13. Let m be h(i). Let l = m - -64. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18*(0 + -2 + 10). Suppose -5*z = -2*z + v. Let k = 52 + z. What is the greatest common factor of k and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - h**2 + 3. Determine k(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 2, 5, 24, -159, -11 in decreasing order.\nAnswer: 24, 5, 2, -2, -4, -11, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*k + 1. Let x be -1 + 3 + (-3 - (-9 + k)). Solve 3*o = -o + r - 14, -x = -3*r for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 361.4177 to 1 decimal place.\nAnswer: 361.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 586*k + 322*k + 1722*k.\nAnswer: 2630*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-276)\/828)\/(2\/66)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14243701, -28487398, -42731095, -56974792?\nAnswer: -71218489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2088 is divided by 265?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.08 + -0.22. What is the biggest value in -3, 0.2, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135 (base 9) to base 3.\nAnswer: 11012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -62411591\/1608888 + 6\/67037. Let k = -113\/3 - m. Which is smaller: k or 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.4933439 - 478?\nAnswer: -469.5066561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 47181152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 438695?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17374 or -17376?\nAnswer: -17376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4*x = -206, -k - 288*x = -286*x - 74. What is the remainder when 2824 is divided by k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven halves of a century?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (221 + 44*o**2 - 2*o - 221)*(-3 + 3 + 2*o).\nAnswer: 88*o**3 - 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30501 + -1245045?\nAnswer: -1315550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 36*l**2 + 227*l - 6029. What is a(38)?\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 133*c**3 - 3*c**2. Let f(g) = -666*g**3 + 16*g**2. Calculate 3*f(x) + 16*z(x).\nAnswer: 130*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -0.39 (b) 147976\/3 (c) 0.3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -362800 divided by 36280\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 9 = t, -5*b + 0*t + 6 = -3*t. Suppose -2*y - b + 15 = 0. Suppose -y*a + 3*a + 39 = 0. Calculate the remainder when 37 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.822*-0.0179.\nAnswer: -0.0147138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v - 2. Suppose 55 = -5*j - 6*j. Let y(c) = -c**2 + 5*c + 6. Let i(n) = j*o(n) - y(n). Calculate i(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 l, and 1 t when three letters picked without replacement from {c: 4, l: 5, w: 1, t: 2, z: 2}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**2 - 5592228*s + 128619128 = 0. What is s?\nAnswer: 23, 1398034","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**3 + 3*t**3 + 0*t**3)*(-2*t + 0*t - 3*t).\nAnswer: -20*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -19*l**6\/30 - l**4 + 11*l. What is the third derivative of y(s) wrt s?\nAnswer: -456*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.00513, -6.7 in descending order.\nAnswer: 5, 0.00513, -6.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -4 - (2 + -8 + 11).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -3 + (-7 - -3) - -5\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/11 and (3\/(-21))\/((-1)\/(-11)).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**3 - 3*n**2 - 11. Let u(k) = 3*k**3 - 4*k**2 - 16. Suppose -5*s = -12*s + 35. Calculate s*u(z) - 7*g(z).\nAnswer: z**3 + z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r - 5*u - 17, -2*u = -122*r + 119*r + 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 - 39. Suppose q*m + 5 = m. Calculate the greatest common factor of m and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 37, 97, 191, 325?\nAnswer: 505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**7\/8820 - a**6\/630 + a**5\/105 + a**4\/12 + 6*a**2. Let s(g) be the second derivative of p(g). Suppose s(y) = 0. What is y?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 307 - 616. Let g = 309.00137 + b. What is g rounded to 4 dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1119348 - 3933909 = -99*n. What are the prime factors of n?\nAnswer: 51043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (18\/(-4))\/((-3)\/8). Suppose -4*c + 29 + 19 = 0. What is the greatest common divisor of q and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26 - -1) + -14 + 66 + -32 + -1.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11139 and 1659?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 130749 and 82.\nAnswer: 261498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -7*i + 1\/2*i**2 - 18. Suppose -20 = -2*z + 4*j, 4*j = -2*z - 12 - 8. Determine w(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 206, 2 in increasing order.\nAnswer: -3, 2, 3, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 82297 + -0.185715\nAnswer: 82296.814285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3782 + -3766. Solve -3*m - a = 2*w, -5*m + 0*m + 3*w = -5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67150578 divided by 11?\nAnswer: 6104598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000328889 to six decimal places.\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-285)\/(-380)*8\/(-57).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10b2 + 42?\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2 + 692*g - 45913. Determine u(57).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 <= -33184\/3605?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 163.9 + -164. What is the closest to d in -1, 2\/15, 0.9?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 w when two letters picked without replacement from ppfwwvgr?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 0.7, 1\/40?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-36)\/24*(9 + 1). Let u be ((-40)\/r + 3)*9. Suppose 2*o + 0*t = t + u, 2*o - 3*t = 49. List the prime factors of o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-626 + 316 - 6*z + 311)*(-6 - 18 - 15).\nAnswer: 234*z - 39","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**5 + 12*z**4 - 28*z**3 - 28*z**2 + 72*z - 32 = 0.\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -258, -520, -782, -1044, -1306?\n\"Answer: -262*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**5 + 15*k**4 - 24*k**3 + 12*k**2.\nAnswer: -3*k**2*(k - 2)**2*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -12, -52, -88, -120, -148, -172?\n\"Answer: 2*q**2 - 46*q + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*a**2\/7 + 68154*a\/7 + 9224484\/7 = 0. Calculate a.\nAnswer: -11222, -137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.85 - 0.15. Let s = -2.1 - w. Let d = 2.1 + s. Which is the second biggest value? (a) d (b) 4 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/5 and -25\/1299.\nAnswer: 6495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -360 divided by -90.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -16042 (base 8) in base 13?\nAnswer: -3380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1186986051?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/9966872 and -52\/6229295?\nAnswer: 49834360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/6 + (-219)\/(-9). Suppose 5*p + 2*z = -2*z + 25, 4*p - o = -4*z. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104500 (base 6) to base 7.\nAnswer: 34500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4537 - 4537. Is -3\/352 at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 24*m**2 - 5*m + 2. Let q = -33 - -51. Let t be j(q). Suppose 5*y + 3*y = t. What is the highest common factor of 29 and y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 19 - 8)*(-4 - 6*k + 4) to y + n*k and give n.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4622707?\nAnswer: 4622707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 120 + -79. Calculate the remainder when ((-14)\/(-35))\/(3\/1515) is divided by l.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 19. Let n = 6 - p. Which is the biggest value? (a) n (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1578563, -1578565, -1578567, -1578569, -1578571, -1578573?\nAnswer: -1578575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.8105 + -1.284. Let i = -3.1 - b. What is i rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)*-1 + sqrt(220) - sqrt(220))\/(-3*sqrt(20)) + 4 + sqrt(396) + -3 + (sqrt(396)*-3 - sqrt(396)).\nAnswer: -53*sqrt(11)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108 divided by -386515.\nAnswer: -108\/386515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -5497 less than or equal to -83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/3 + 1\/(-3). Let w(x) = x**3 + 3*x**2 - 1. Let v be w(1). Let g = v - r. Which is the smallest value? (a) -1 (b) g (c) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 11:00 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*g**3 - 40*g**2 - 5*g**3 + 60 + 52*g**2 wrt g?\nAnswer: -3*g**2 + 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267 is divided by 125?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 6*p - 12. What is the least common multiple of k(-8) and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12 and 14.3?\nAnswer: -171.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 25*o - 122. What is n(0)?\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -34 - 23. Let p be 1\/(-3) + v\/9. Suppose -p*y + 4*y + 45 = w, y + w - 24 = 0. What is the greatest common factor of y and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 72 = m, h - 2 = -2*m + 7. Solve 3*b + h = 6*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 9*y - 2*y + 4*y)*(-3*y + y + 4*y)*(-1 + 3*y**2 + 1).\nAnswer: -42*y**4 + 6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 2*i = 62, -975*i = -945*i + 30 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -3*u**7\/7 - 25*u**4\/12 + 2*u - 5. Let o(h) be the first derivative of x(h). Find the third derivative of o(t) wrt t.\nAnswer: -1080*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(((s\/(s\/s**(2\/3))*s)\/s*s)\/s*s)))**(-42)\/(s**(4\/11)\/s**(1\/3)))**(-48) assuming s is positive.\nAnswer: s**(36976\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 261216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -15*12\/(-20) + 91. Let t = 124 - u. Calculate the smallest common multiple of 78 and t.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000933 rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1614353 = 14888*y + 216871 for y.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2539, -2490, -2325, -2044, -1647, -1134?\n\"Answer: 58*w**2 - 125*w - 2472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2)\/(8\/128).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 11:56 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*g + 5. Let x(j) = j**2 - 18*j + 76. Let s be x(10). List the prime factors of (-9)\/g + (-110)\/s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1339 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*w = 768, 7*q - 3*w = 6*q + 764. Let o = q - 332. Does 6 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29ce5 (base 15) to base 4.\nAnswer: -200312030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**0)**(3\/38)*g**(2\/25)*(g*(g\/g**4)\/g)\/g assuming g is positive.\nAnswer: g**(-3649\/950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57 + 122. Let y = d - 26. Is 12 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 - (-11 - 66) - (9 - (0 - 0))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x. Suppose 0 = 9*t + 48 - 48. Let w(i) be the second derivative of 7*i + 0 + 0*i**3 + t*i**2 + 1\/6*i**4. Give w(s(j)).\nAnswer: 32*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (52\/3042)\/((-35)\/(-35))?\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 280*q**3 - 98*q**3 + 15*q - 88*q**3 + 12*q**2 + 6 - 91*q**3 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69 - (12 + 22 + -17 + (-6 - (-2 - -6))).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 11*b. Let o be u(-1). Let j be (-2)\/o - 879996\/(-22). What is j rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - x**2 - 3*x + 3. Let l be o(3). What is the highest common factor of l and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, v: 2, x: 2}. What is prob of sequence vxvx?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5510.593l?\nAnswer: 5510593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n**4 + 3*n**3 + 335673*n**2 + 2568885*n - 893592 = 0. What is n?\nAnswer: -189, -8, 1\/3, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 2*y + 13 = 0, 5*y + 136 = -5*h + 161 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8957785 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 115424 and 22?\nAnswer: 1269664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**3 - 16685*b**2 - 501225*b - 3760875 = 0. What is b?\nAnswer: -15, 16715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i + 1604 = -96. Let v = 316\/3 + i. Factor -v*n + 4*n**2 + 0 + 10\/3*n**3.\nAnswer: 2*n*(n + 2)*(5*n - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15541275401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 152291*c**2 + 146911*c**2 - 289527*c**2 to m*c**2 + d + h*c and give m.\nAnswer: 9675","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14580 - -0.72?\nAnswer: 14580.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 3, 6 in descending order.\nAnswer: 11, 6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 410266577 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z**2 - 3*z + 3. Suppose 0 = 3*t - 4 - 2. Is 9 a factor of h(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13311200 - 3?\nAnswer: -13311203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 119*m + 4887. Let n(f) = -99*f - 4888. Calculate -6*n(i) - 5*s(i).\nAnswer: -i + 4893","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 143 by 175337.\nAnswer: 143\/175337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 29.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 216476\/191 at most 1134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -27*g**2 - 1785*g - 195. Let j be x(-66). Let 4\/13*q + 6\/13*q**j + 0 + 18\/13*q**2 - 8\/13*q**4 = 0. Calculate q.\nAnswer: -1, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m - 5*m - 2*m - 7*m. Let f(n) be the second derivative of 8*n - 1\/12*n**4 + 0*n**3 + 0 + 0*n**2. What is o(f(g))?\nAnswer: 11*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 + 2 + (-5 + 2 + 4)*(-1 + 2 + 0) - 2 + 7 + 4)*(0 + 0 - l) in the form a + w*l and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**2 + 4*u - 1. Let v = -34 - -31. List the prime factors of z(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 2 + 2*t - 10 + 0*t. Calculate the remainder when (414\/(-92))\/(6\/(-40)) is divided by n(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 11:42 AM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 193834, 387667, 581510, 775369, 969250?\n\"Answer: g**3 - g**2 + 193829*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 302 - 283. Suppose -q*m + 1858 = -783. Which is smaller: m or 140?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((0 + sqrt(1008) + 0 + -2)**2 - ((sqrt(1008) + 0)**2*-2 - 4*sqrt(1008)*-1)).\nAnswer: -96*sqrt(7) + 3027","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4 = -2*w - 3*v, -11 = -5*w - 3*v. Suppose -w*c + 1 = -43. What is the lowest common multiple of 10 and c?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20181 (base 9) to base 3.\nAnswer: 200012201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 247 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 + 3 - (24 + -26)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195*l + 199*l - 3*a = 5, 4*a = l + 2. Let d(n) = n**2 + 5*n - 7. Calculate d(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.4 (b) -6 (c) -3 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 x, and 1 i when four letters picked without replacement from ofixjxjjjjxjjjfxx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 3*h. Let d be (-2)\/6*27\/(-3). Let r(x) = x**3 + x. Let o = -24 - -23. Let s be 11 - 7 - (4 + o). Calculate d*r(m) + s*a(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 106 and 21.\nAnswer: 2226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 1600.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -23296875*f**2 + 8*f + 4. Let o be v(-8). Let b be 4\/(-7) - o\/105. What is b rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.99 times 0.06?\nAnswer: 0.2994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3. Let k(l) = l**2 + 8. Let b(v) = -3*k(v) + 7*s(v). Differentiate b(p) with respect to p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 3, 4, -4, 122 in decreasing order.\nAnswer: 122, 4, 3, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-1\/3)*h)**(-3\/4)\/(h**(-2\/9))**28 assuming h is positive.\nAnswer: h**(179\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 163*n - 50 - 305*n + 20.\nAnswer: -468*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7218, 31041, 71486, 128553, 202242, 292553?\n\"Answer: 8311*x**2 - 1110*x + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -867, -3779, -8905, -16413, -26471, -39247, -54909, -73625?\nAnswer: -95563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4688, 6231, 7776, 9323?\n\"Answer: u**2 + 1540*u + 3147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/3))**(-21)*(k*k\/(k*(k\/(k**(1\/2)\/k))\/k)*k)**(-1\/15) assuming k is positive.\nAnswer: k**(-71\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -9*y + 160. What is o(19)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.6 - -6. Let v = w - 0. Let z = v + -1.4. Are -2 and z unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/3670 and 58\/7?\nAnswer: 25690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 2*i**2 + 0*i**3 + 0 + 0*i + 1\/24*i**4. Let a be c(3). Solve 5*r + a*h + 15 = 2*r, -r = -5*h - 7 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1170 or 1173?\nAnswer: 1170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -10. Suppose 5*d - j - 25 = 0, 2*d - 3*j + x = 10. Suppose 0 = -0*k + d*k. Solve k*y = -5*y + 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1744655 or -1.8?\nAnswer: 1744655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 52*t - 5415. Determine i(104).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 1997 - 2002 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-42) - 36121\/555030?\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/(460\/48)*1*90\/(-12)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 2:45 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2314088 is divided by 564.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -185, -368, -551, -734?\nAnswer: -917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/3*1*25944\/(-736).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c07 + 12?\nAnswer: -bc5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.27116 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 41*w**2 - 121*w - 52. What is t(-38)?\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 12*m**2 + 15*m - 17. What is v(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47489949 divided by -7121.\nAnswer: 6669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1210 - 10221110210?\nAnswer: -10221112120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y - 8. Suppose 0 = -x - 5*j - 6 - 3, 2*j + 41 = 3*x. Let h be a(x). Suppose h = k - 4*k. Which is smaller: -6\/19 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q - 7*q - 6*q + 6*q to the form j + s*q and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*d + 4 = 18*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 11:20 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 0.5 (c) -0.1 (d) -8 (e) 0.0525\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 144 = 154. Find the first derivative of r - 4*n + 34 - 39*n**2 + 4*n wrt n.\nAnswer: -78*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -172979, -345964, -518959, -691970, -865003?\n\"Answer: -c**3 + c**2 - 172981*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15331, 15330, 15329, 15328?\nAnswer: 15327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 82*s + 5 + 84*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -6. Let z(v) = -v**2 - 3*v + 4. Let f be z(o). Suppose -4*g - 4*u + 0*u + 4 = f, -7 = g + 5*u. Solve -g = 2*m + 7 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - -39 - (15 + (-6 - -121)).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2077 - 2075. Solve 2*z = 6*z + n*y - 22, 0 = -3*z - 4*y + 24 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100373049 at least as big as 100373050?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-134)\/(-12) - 13\/78. Let p(l) = -l**2 + 10*l - 16. What is p(y)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 939225531?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -54340567*y**4 - 1767229 wrt y?\nAnswer: -217362268*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 3*g - 55, 323*g + 50 = -4*r + 326*g for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 13*w**2 - 52*w - 11. Give q(-5).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -257 - -4b?\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 1:08 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3369980 is divided by 22026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5435.156 millennia in centuries?\nAnswer: 54351.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19322223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 7*l = -37, -2*c - 5*l = 40 - 95. Suppose 3*g - 4*g + 18 = 0. Calculate the least common multiple of c and g.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)*-2)\/sqrt(4) - (2*sqrt(6000) + sqrt(60))\/sqrt(12))**2 - (sqrt(50)\/(-6*sqrt(160)) - (-2 + sqrt(15)\/sqrt(3))*1).\nAnswer: 25*sqrt(5)\/24 + 3643","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b**3 - 25*b**2 - 11*b - 17. Calculate z(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 14) to base 3\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 24 + 65 - 26 = 5*o, -4*o = -20 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61354 - 6392 = w. Let b = w + -13373. Suppose 4*d - 130401 = -5*x + b, 0 = 4*d - 4*x - 172008. What is d rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 382, 0, -2\/53, 5?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(1\/2)*i)*i*i*(i**(1\/4)\/i)\/i)\/(((i\/i**1)\/i)\/i**8) assuming i is positive.\nAnswer: i**(31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 468216538, 468216537, 468216536, 468216535, 468216534, 468216533?\n\"Answer: -q + 468216539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2138393 and 114475?\nAnswer: 53459825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10240?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -31 - 8) + (-18 - 6) - 0\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g**2 - 470. Let p(c) be the first derivative of -c**2 + 3322. Calculate p(m(b)).\nAnswer: 6*b**2 + 940","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 11. Give u(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 74415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 898 divide 2988156064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v - 1. Let b(a) = 2*a**2 - 4*a - 5. Suppose -7*t = 11*t + 18. Determine t*b(i) + 6*u(i).\nAnswer: -2*i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*v - 378 = -v, 4*v = -4*w + 396. What is the remainder when w is divided by 27?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 174 = -4*m. Let j = -30 - m. Suppose -x + 14 = -j. What are the prime factors of x?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/36)\/(64\/(-48)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(5) - -1*sqrt(5))*-1*-2*-2.\nAnswer: -24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 19\/4 + (-3)\/(-12). Let n = 2.9 - 3. Suppose 0*r = -2*r - 10. What is the closest to n in c, 1, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38.61 - -39. Does j = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 2\/5, 0.0069, 0.5, -784?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 12*j - 3. Let w(t) = -88*t + 16. Give 39*p(h) + 6*w(h).\nAnswer: -60*h - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*d + 14*d**3 + 22*d + (5 - 1 - 2)*(-d**3 + 2*d**3 + d**3) + 6*d**3 - 4*d**3 + 0*d**3.\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-489)\/(-45) - 6) + 4\/30?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5697*b**4*y + 42*b*y + 199*b wrt b.\nAnswer: -68364*b**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 76*r + 878. Determine q(-12).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -12. Suppose 0*z + 5*z - r = 0. Find the second derivative of c - 4*c**2 + z*c**3 + 4*c**2 wrt c.\nAnswer: 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uqp when three letters picked without replacement from {s: 1, i: 3, p: 2, q: 3, j: 3, u: 1}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -13?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 7:00 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 4*l - 48. Calculate the remainder when 190 is divided by l.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 7*q**2 + q - 12. Let c(y) = 20*y**2 + 2*y - 35. Let i(h) = 6*c(h) - 17*k(h). Let p be i(7). Suppose p*w + w - 1719 = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 5*b = -19 + 49, -5*b = -2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 12:01 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 1206?\nAnswer: 5\/1206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 8*o + 4*o - 13 = 0, 2*t = -o + 8. Suppose -314 = -t*n - 49. What is the remainder when n is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16.8 + 18.8. Put -11, 0.3, x, -1\/11 in increasing order.\nAnswer: -11, -1\/11, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0633 minus -0.0816?\nAnswer: 0.0183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1934*w**3 + 641*w**3 + 646*w**3 + 643*w**3.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, n: 2, y: 1, x: 1}. Give prob of sequence hynh.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05802477 rounded to 4 dps?\nAnswer: -0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*b + 159*b + 10*b)*(-4 - 4 + 1 - 2 - 1 + 1 + (3 - 2 - 2)*(-3 + 0 + 2)).\nAnswer: -1088*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*h**2 - 2*h**4 + 0*h**2 - 28*h**4 + 5*h**4 wrt h.\nAnswer: -600*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 134*b*y + 37*b wrt y?\nAnswer: 134*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6274 - -6273.78525. What is f rounded to two dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -105*t - 89. Give g(-5).\nAnswer: 436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 39.60213 days?\nAnswer: 3421624032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 26*y**3 + 2 + 27*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 0 + 8 = 0. Solve w*o + 0*o + 6 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8593*g**2 - 26040*g**2 + 8878*g**2 + 8580*g**2.\nAnswer: 11*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 4*p**2 - 4*p. Let x be f(5). Let d(t) = 0*t + x - 2*t - t - t**2 + 4*t. Calculate d(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 197318807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6643 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 19*w + 34. Let c be (2 - 1)\/(70\/(-34) + 2). Let d be x(c). Suppose 5*a = -0*a + 2*u + 379, d = -2*u + 6. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1945625\/2178)\/25 - (-2)\/(-9). Let y = s + -1\/99. What is the common denominator of y and -8\/71?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 3*r + 3*i - 4*i, 4*r + 3*i - 7 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 460 is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.2, 51\/14, 2, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k + 6985*k**2 - 6237*k**2 + 0*k in the form f*k**2 + g*k + i and give f.\nAnswer: 748","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -140 > -141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.1 in 0.11, -0.3, -0.07, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - m + 1. Let c(y) = -2 - 139*y**2 + 2*y**3 - 160*y**2 + y + 297*y**2. Determine -2*c(o) - 2*u(o).\nAnswer: -2*o**3 + 4*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 3 + 19*g + 4*g**2 + 1\/3*g**3. Calculate the remainder when 34 is divided by w(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 + 72 = 8*i. Suppose 7 - i = -3*p. What is the fourth biggest value in -2\/3, -0.2, 9, p?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1438?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwssdf. What is prob of sequence fd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5151, 0, -1 in descending order.\nAnswer: 5151, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of j**4\/24 - 33*j**2 + 4. Let f(n) = 233*n. Give f(x(s)).\nAnswer: 233*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 235 - 227. Let h be 1 + (-8 - -18 - p). Solve -h*y + 5 = 2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 137 = 2*m, -2*l = 6*m - 9*m + 177. What is the smallest common multiple of m and 8?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66*795\/(-15741)*(-42)\/(-40)*11\/14.\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o - 14*o = 0. Let z be 2 - -1 - (3 + -2). Suppose o = -4*n + 6 - z. Solve -3*g + 7 = n for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + (-3 - 1))*(-13 - -17). Is 3*(7\/4 - 3\/p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 3*c + c. Suppose -4340000 = c*y - y. What is y rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 89 + -63. Let v = -1883 - -1957. Calculate the remainder when v is divided by w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/12711335 and -39\/25.\nAnswer: 63556675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -11*c**3 + 8*c**2 - 11*c + 7. Let f(k) = 6*k**3 - 4*k**2 + 6*k - 4. Let x be (-5)\/((-5)\/2)*(-35)\/(-10). Let o(r) = x*f(r) + 4*g(r). Factor o(d).\nAnswer: -2*d*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.75511 litres to millilitres.\nAnswer: 33755.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*g + 8, 0 = 3*b + 5*g - 15. Suppose -2*h = -b*h - 18. Suppose 2*r + 0*f = 3*f + 6, 0 = -3*r + 5*f + h. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 < -25158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 + 97\/3. Let h = 174478 + -174476. Factor 4\/3*s**h + 0 - n*s.\nAnswer: s*(4*s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.328813+-0.5\nAnswer: -4.828813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m**2 + 7*m**3 - m**2 - 2*m + 5 - 2*m**3 as d*m**3 + q + w*m + a*m**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -i**3\/12 - 15*i**2\/8 + 94. Factor u(n).\nAnswer: -n*(n + 15)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -175.8744 and 0.083.\nAnswer: -175.7914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -6*c + 18. Solve -5*y = c + 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205 is divided by 70?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35225434 * 5.\nAnswer: -176127170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 51782326 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -18518 (base 13) in base 14?\nAnswer: -131b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1552839 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2, -3, 0, 7?\n\"Answer: 2*p**2 - 7*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6391753*v**5 - 3390239*v?\nAnswer: 127835060*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1208223 is divided by 1384?\nAnswer: 1375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 13834507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -30?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39 or 711?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.4 - -6. Let d = 608.9 - 610.9. Which is the nearest to -1.7? (a) 0.1 (b) d (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(24) + 2*sqrt(384))\/(-3*-3*sqrt(8)))**2 + 3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 5:29 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of 11*p**4\/12 + 109*p**3\/6 + 9*p**2 + 4*p. Let h be w(-5). Let d = 8 - 7. Sort d, 3, h, 6 in descending order.\nAnswer: 6, 3, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/11*(-4)\/(-6). Which is the nearest to 0.1? (a) 2 (b) d (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.3573 and -153?\nAnswer: 360.6669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 179658*a**2*o + 4*a*o + 3642*a wrt a.\nAnswer: 359316*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p**(-2)\/p))\/p*p)\/p*p)\/p*p\/(p*p**8)*(p**1*p)**(-4\/17) assuming p is positive.\nAnswer: p**(-93\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 9:23 PM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 45 = -3*x - 3*y + 257, -x - 5*y + 104 = -10*y for x.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u\/(u**(9\/4)*u)*u))*u**(-1))**(-1\/39) assuming u is positive.\nAnswer: u**(3\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 9*l**2 - 8*l + 4. Let w be b(-8). Suppose -5*z + 59 = m + 11, -w = -z. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3990 and 4788?\nAnswer: 23940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1252557.\nAnswer: 3, 23, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4+228.8\nAnswer: 224.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = -a + 5*f + 9, -5*f = a - 191. Suppose 5*s - a = 64. Calculate the highest common factor of 32 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1525 - -18558. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + -1 + (-4 + 4)\/8. What are the prime factors of ((-18)\/(-8))\/(5*c\/480)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -103*p**2 + 46957 - 15*p + 57*p - 46957 wrt p?\nAnswer: -206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, z: 4, t: 6, k: 4}. Give prob of picking 3 t.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 8*c = -10*c + 48, -3*m - 5*c = -70. What is the greatest common factor of 225 and m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -58, -107, -162, -223, -290, -363?\n\"Answer: -3*d**2 - 40*d - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7727, -15435, -23145, -30857?\n\"Answer: -z**2 - 7705*z - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30177 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(44)\/(2*sqrt(4)*5).\nAnswer: -5 + sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34750858.\nAnswer: 2, 17375429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(5\/3)\/f**(7\/3))\/(f\/(f**(-4\/27)\/f)*f*f)**(-33) assuming f is positive.\nAnswer: f**(1226\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -16477*x - 16131*x + 2554*x - 5633*x - 1825*x as s + d*x and give d.\nAnswer: -37512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**3 - 116*i**2 + 1168*i + 10. What is h(13)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + (-1)\/1 + 89 + -95. Let w(q) = 25*q**2 - 25*q - 121. Is w(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (77\/231)\/(12\/9)*(-68)\/1\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, d: 2, u: 2, r: 1}. Give prob of sequence rd.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -14 + (-167 - -159) - -27\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11052, -22139, -33226?\nAnswer: -44313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**5\/130 + h**4\/39 - 7*h**3\/13 + 18*h**2\/13 - 100*h. Determine u, given that l(u) = 0.\nAnswer: -6, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44976 times -2.2?\nAnswer: -98947.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x + 1. Let w(o) = -18*o + 15. Let d(p) = 15*i(p) - w(p). Suppose 0 = -6*c + 7*c - 2. Let j(z) = -3*z - c*z - 5*z + 6*z. What is j(d(t))?\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 7:52 AM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**5 + 2*c**4 - 1098*c**3 - 23732*c + 1 wrt c.\nAnswer: -40*c**3 + 24*c**2 - 6588*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1700181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j + 2. Let c(k) = -3*k - 5. Let t(z) = 6*c(z) + 15*l(z). Let y be t(1). Let h be (9 + -3)\/y + 8. What is the greatest common divisor of h and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*w - w - w)*(-10 + 4 + 2)*(0 + 2 - 3)*(2 + 3 - 4) in the form h*w + t and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 8*f**2 - 5*f. Give m(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 + -2 - (-129 + (-1)\/1). Let w(h) = 69*h - v*h + 52*h. Let i(a) = -a. What is 42*i(p) - 3*w(p)?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/15*10\/(-1). Suppose w + 5 = -3*y, -y + 4 = -d*w - 6. What is the second derivative of 41*g**3 + 27*g + 0 + y - 23*g**3 wrt g?\nAnswer: 108*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 0 - 3\/2*t**2 + 1\/3*t**3 - 18*t. Suppose -2*h - 2*n + 14 = 0, 0*h - 4*n = 3*h - 24. Determine a(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 2 = 4*z, 14 = -494*w + 495*w - 4*z for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22798 + -22797.9951932. What is r rounded to five decimal places?\nAnswer: 0.00481","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q**3 - 6*q**2 + 8*q**2 - 3*q**2 + 3*q**3 - 2*q**4 - q to j*q**4 + f*q**2 + v*q + a + p*q**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -69.6 times -40\nAnswer: 2784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 6:54 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 25*j + 278. Let z = -6 + 5. Let q = z + 7. What is the smallest common multiple of q and t(33)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -98*l + 121*l + 23 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 9:14 AM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 130416 and 19477128?\nAnswer: 5016","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 10. Suppose i + i + 2 = 2*g, 2*i = -m*g + 14. What is the first derivative of -6*y**4 + g*y**3 - 2 - 2*y**3 - 2*y**3 wrt y?\nAnswer: -24*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 5*g - 7. Calculate k(10).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 62940850*w**4 - 77236933 with respect to w.\nAnswer: 251763400*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/16 - (2 - 3). Let q = -7.36 - 0.04. Let y = q + 7. Put y, v, 1\/7 in ascending order.\nAnswer: y, 1\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -1023*n. Let t(s) = 5*s + 20. Give t(k(p)).\nAnswer: -5115*p + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/15)\/((-2)\/5). Let y(c) = d - 47*c - 13*c - 1. Is y(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 39\/(-33) - (-256)\/(-924).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**3 + t**3 - 5*t**3)*(2*t + 1 - 1) + 21*t**2 - 18*t**4 - 21*t**2 + 33*t**4 + 28*t**4 - 19*t**4.\nAnswer: 22*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5*u - 2. Let v(q) = -4*q + 2. Give -6*v(r) - 4*z(r).\nAnswer: 4*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 142151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7090024 by -1772506.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -37*s - 3. Let c be j(-3). Suppose 5*u + 18 - c = 0. Suppose 4079*o + 855 = 4098*o. Calculate the highest common factor of o and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2502.357 and 387.\nAnswer: 2889.357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7008\/(-2336)*((-6)\/189)\/((-7)\/525)?\nAnswer: -50\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4 + (-1 + 4 - 1)*(5 - 1 - 2))*(3*r + r - 3*r)*(6 + 5 - 4).\nAnswer: 42*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 14658593, 14658584, 14658575, 14658566, 14658557, 14658548?\n\"Answer: -9*x + 14658602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10383.\nAnswer: 3, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 534138279 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(-2)\/12*(52 - -5). What is the tens digit of (-5 - j\/4)*-116?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (56 + -57)*-10*(-4 + 3). Let r(l) = 9 + 2*l + 2 + 6 - 4. What is r(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w + 2*f + 4, 167*f - 172*f + 5 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-17*(-5)\/2125.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -122 - -112 - -684*1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -11798012?\nAnswer: 11798008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234866332.\nAnswer: 2, 47, 193, 6473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-153)\/34*(-22)\/3. Let b = -34 + u. Is ((-1233)\/12)\/(b\/4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4612, 4614, 4616?\n\"Answer: 2*v + 4610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -55*z**4 + 7*z**3 - 61*z - 7. Let w(g) = 18*g**4 - 2*g**3 + 20*g + 2. Let a(r) = 4*j(r) + 14*w(r). What is the second derivative of a(k) wrt k?\nAnswer: 384*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/4 and -91\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12028.\nAnswer: 2, 31, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*o - 270 = -242*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 3. Suppose -2*j - 1 = -v - w, 5*j = -v + 23. Suppose 2 = -j*s + 4*p + 532, 2*p - 10 = 0. Calculate the highest common divisor of s and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4834.\nAnswer: 2, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7320 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2949, 1, -0.012, -3?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(3*sqrt(68) - sqrt(68)))\/(2*sqrt(4)*-2).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7868 and 94.24.\nAnswer: -74.148032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -3 - 7*m**2 + 4*m**2 + 4*m**2. Let p(d) be the third derivative of d**5\/4 + 2*d**2 - 2. Calculate k(p(c)).\nAnswer: 30*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**2 - 2*g**4 - 4*g**2)*(4*g - 4*g - 1 - g).\nAnswer: 2*g**5 + 2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h\/((h**(2\/5)\/h)\/h)*h**6)\/((h**(-4\/7)*h)\/((h**(-1\/3)*h)\/h)))\/((h*h**2*h)**12\/(((h*h**2)\/h)\/(h\/(h*h**1)))) assuming h is positive.\nAnswer: h**(-3692\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -41?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -5*z - 6, 0 = 4*n - z + 6*z + 13. Let s = -5 - n. What is the third derivative of -s*r**6 + 3*r**2 + 0*r**2 + 4*r**6 wrt r?\nAnswer: 240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8392\/101 or -84?\nAnswer: -8392\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -9*r + 192. List the prime factors of l(12).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2543834?\nAnswer: 2, 19, 66943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2682, -3, 1, 587, -4, 5.\nAnswer: -4, -3, 1, 5, 587, 2682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 6*g = 5*v + 268 - 249, 2*v - 5*g = 6 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*t - 20*t - 2*t**5 - 11*t**3 + 4*t**5 + (2*t**5 + 0*t**2 + 0*t**2)*(-4 + 33 + 5).\nAnswer: 70*t**5 - 11*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -118*i - 172*i - 8960 + 18 - 2658 for i.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -155787*m + 154007*m - 1 + 0 to the form p*m + a and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -5. Suppose -5*w = 12 + 33. Let k be -6*(12\/w + 2). Which is the third biggest value? (a) 1 (b) k (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 605 + -6?\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 + 193*o**3 + 17 - 3*o - 229*o**3 + 308*o**3 + 527*o**3 to the form u*o**3 + a*o**2 + f + q*o and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 766 - 1815. Let u = -1048.038 - w. Round u to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37836 is divided by 2561?\nAnswer: 1982","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1024*j + 10 = -1019*j. Suppose -1333 + 321 = -j*h. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*i + 4221 = i, 4*s - 5628 = 4*i. Solve 1397 - s = -5*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u. Let j(i) be the first derivative of -7*i**2\/2 + 2*i - 1. Suppose 25 = -5*q - 0. Let k be (1\/2)\/(3\/6). Give k*j(a) + q*t(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 1 = 16. Let u = i + 23. Suppose 0 = 2*j - u*j. Solve -3*t - 7 + 1 = j for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 9*b + 66 = 0. Suppose 9*c - b*c + 140 = 0. Suppose 3*x + c = 5*x. What is the remainder when x is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 1. Let j(u) = 3*u + 22. Let q(h) = j(h) - 2*w(h). Suppose 2*c - 3 = -5*g + 2*g, g = -2*c + 1. Let p be q(c). Solve -4*k = k - p for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16683794 is divided by 4144?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95700 divided by 3190.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.15 in -2, 1\/4, -5, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -14, -28, -58, -110, -190, -304?\nAnswer: -458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 28 + 74 = 0. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a hour in seconds?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 4)*(-2 + 2 + i)*(1 - 2 + 2 + 1 - 2 + 3 + (-2 - 7 + 18)*(1 - 1 - 1)).\nAnswer: -30*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 5*l - 298*l**2 + 314*l**2 + 9*l - 2*l. Let b(n) = -225*n**2 - 170*n. Let q(k) = -6*b(k) - 85*m(k). Let t(r) = -2*r**2. Calculate t(q(d)).\nAnswer: -200*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k - 4. Determine v(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + (-14)\/3)*3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.57929279 to two decimal places.\nAnswer: 0.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + 34 + 8 + -18 - 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 6:41 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2368998?\nAnswer: 2, 3, 131611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6862731 kilograms in tonnes?\nAnswer: 0.0006862731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m + 30. Let w(p) be the second derivative of p**3\/6 - p**2\/2 - p + 10. Let x(b) = -18*w(b) - 2*z(b). Find the first derivative of x(n) wrt n.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -4*t**3 - 9 - 9*t + 11*t**3 + 16481*t**2 - 16475*t**2. Let x(n) = -3*n**3 - 3*n**2 + 4*n + 4. Give 4*m(s) + 9*x(s).\nAnswer: s**3 - 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 0 = 4*a + 16, 16 = -2*w - 4*a for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -5*-1*sqrt(1573))*-6)**2 + -5.\nAnswer: 19800*sqrt(13) + 1416595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + -0.1. Let x = -0.06 + -4.94. Which is the second biggest value? (a) x (b) -3\/7 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5*1*(sqrt(288) + -1*sqrt(288))\/sqrt(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b + 22 - 29 - 4*b + 7.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o. Let m(c) = -366*c + 38. Let d(b) = -1097*b + 106. Let h(i) = 4*d(i) - 11*m(i). What is h(y(j))?\nAnswer: -724*j + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 31975002570 plus -170?\nAnswer: 31975002400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13282571*t**3 + 45*t**2 - 4*t + 1131 wrt t.\nAnswer: -79695426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 119 - -397. Let q = -516 + v. Find l, given that q*l**2 + 0 + 2\/9*l**3 - 2\/9*l = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -402, 1862, 5634, 10908, 17678?\nAnswer: 25938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - 1 - (-65)\/95. Let d(x) = -x**3 - 5*x**2 + 6*x + 1. Let y be d(-6). Does n = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 + -3)\/(2\/5). Solve 0 = b - 0*v + 3*v, -n = -5*v for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**4\/12 - u**3\/3 + u**2. Let l be 0 - (1 + -1 - 1). Let k(v) = v. Give l*q(r) - 4*k(r).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6714\/(-12))\/((-2)\/4). Suppose r = 4*h + h - y, -h = -5*r - 243. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115763, -116542, -117321, -118100?\nAnswer: -118879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k + 1. Let l be n(-3). Calculate the greatest common divisor of 2 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((6*(-2 + sqrt(1377)))**2 + -5 - (5 + 5 + sqrt(1377))*-2).\nAnswer: -1278*sqrt(17) + 49736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3545.75ug to grams.\nAnswer: 0.00354575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -9*v**2 + 29*v**2 + 20*v**4 + 5*v + 30*v**3 + 11*v**5 - 4*v**5 - 2*v**5 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of k**6\/60 - k**3\/3 - 3*k**2\/2 - 3. Let h(p) be the second derivative of w(p). Differentiate h(o) wrt o.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 6*w - 4 = w, 5*w + 6 = 3*t - 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 10:05 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-192)\/(-2 + -2))\/1. Suppose 0 = -3*v + j - 3. Suppose 3*p - 2*p - 5 = 0. What is the remainder when v is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -5*b + 2 + 0*b - 1. Let n be h(-3). Let j = 39 + -15. Calculate the greatest common factor of j and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -115*q**4\/12 - 4*q**3\/3 + q**2\/2 + 44*q + 2. Let s be w(-3). Round s to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20950 = 936*v - 6131 - 69424 + 1969 for v.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, h: 3, d: 1, w: 4, f: 4}. What is prob of sequence dhu?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3810841795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -565.8, 3\/2, -5.\nAnswer: -565.8, -5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1236164\/1032 - 10\/12 is divided by 43?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/12)\/((-1)\/(-4)). Suppose -b + 136 = 4*q - p*b, -3*b = -3*q + 108. Suppose 7*l - 3*l = q. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 192 + -189. Let q be 1\/(3 + ((-816)\/92)\/w). Put -3, 4, q in ascending order.\nAnswer: -3, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 0.9. Let p = 0.14 - 1.34. Let r = p - -0.2. Which is the nearest to h? (a) -1\/5 (b) 3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/127677 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -97783, 2, -8, -1 in increasing order.\nAnswer: -97783, -8, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**3 - 7*p**2 + 92*p - 163. What is t(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i - 9. Determine q(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, h: 2}. What is prob of picking 2 o?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -41*k**4\/4 + 43*k + 13. Find the first derivative of t(i) wrt i.\nAnswer: -123*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 834526573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(5\/3)\/((f**(-5)*f*f)\/f)*(f**(1\/4)\/f)**23 assuming f is positive.\nAnswer: f**(-139\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2903?\nAnswer: 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 7*v + 210 = 44*v. Solve 7 = -2*l + v for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -32804*p**4\/3 + 1443380*p**3 + 1475652*p**2 - 8727484*p\/3 + 1064 = 0. Calculate p.\nAnswer: -2, 3\/8201, 1, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36282 is divided by 6042.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13.94 + 18.064. Let n = -0.124 + q. Let x be (11\/5 + -2)*15\/(-9). What is the nearest to 3 in -1, x, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4309 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -197145213572 and -58.\nAnswer: -197145213630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and -1.6010087059228.\nAnswer: 2.3989912940772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24846.\nAnswer: 2, 3, 41, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -31*d**2 - 2*d + 46. Let q(n) = 16*n - 75. Let f be q(5). Let b be x(f). What is b rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 1024995*m + 2. Let i(z) = 2049989*z + 5. Let u(o) = -13*b(o) + 6*i(o). Let c be 1*(0\/(-2) + 4). Let j be u(c). Round j to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/18 and -11\/63.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8330 + -2284. Is 63 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3102, -3100, -3096, -3090, -3082, -3072?\nAnswer: -3060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6391.\nAnswer: 7, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 36 + 29 + 34 + 319*q - 99 in the form g + i*q and give i.\nAnswer: 319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/9)\/(1\/(-12)). Let i(m) be the first derivative of 7\/5*m**3 - 2 + 6\/5*m**d + 0*m + 3\/5*m**2 + 9\/25*m**5. Factor i(v).\nAnswer: 3*v*(v + 1)**2*(3*v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*i - 123*i = 122*i - 60*i + 9577 for i.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.3061455 + -177.323475. Let n = -196.32961949 - j. Let z = n + 12.7. Round z to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.1 (b) -12 (c) -1\/104 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290*z + 83*z + 804 + 1887 = 0 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from 102345.\nAnswer: 102346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + -5 - 6\/2. Let s = p - -22. Is s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3708423220.\nAnswer: 2, 5, 4421, 41941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w = -4*t + 52, 107*w + 4*t + 197 + 240 = t for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**2 + 16 + d**2 - 4*d**2 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22c894 (base 14) to base 3.\nAnswer: -2020022101220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 13. Suppose r*m - 150 = m. Suppose -4*d - d = -m. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 971443462?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 136, -69, -994, -3011, -6492, -11809?\n\"Answer: -62*h**3 + 12*h**2 + 193*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.166 - -48.834. What is the smallest value in -3\/5, c, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 9.3. Let h = t - 0.2. What is the second smallest value in -0.1, h, 4\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3198634076?\nAnswer: 2, 11, 1609, 45181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -1\/3*x**3 + 1\/5*x**5 + 0*x - x**2 + 3\/4*x**4 - 1\/6*x**6 - 225. Factor a(b).\nAnswer: -b*(b - 2)*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1609925*b - 6343292.\nAnswer: 1609925","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2202323?\nAnswer: 193, 11411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -12 - (-5 + 1) - (2 - 4)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.23 - 0.274. Let w = l - 3.785. Let m = w + -0.071. What is m rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/72 - (-7)\/21.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*j - 16*j - 102*j**3 - 9*j.\nAnswer: -102*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g - 3*g + 3*g)*(39*g - 9*g + 117*g).\nAnswer: -441*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of c**4\/4 - 13*c**3\/3 + 31*c**2\/2 + 28*c - 60. Is u(17) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g**3 - 3. Let x(i) = -i**2 - 1. Let o(y) = -r(y) + 2*x(y). Let a be o(1). Find the first derivative of -3 - p**3 + 0*p**3 + a*p**3 wrt p.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(6776) + sqrt(6776)*1)\/((-2*sqrt(88))\/sqrt(11)) + -1 + ((4 + sqrt(21)\/sqrt(3) - (sqrt(847) + sqrt(847) + -1))*-1)**2.\nAnswer: -221*sqrt(7) + 3107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/11, 7\/13, -0.3, -13, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 120305212 to the power of 1\/2, to the nearest integer?\nAnswer: 10968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1022 - -1025. Let l = 0.06 - -3.94. Let z = -33\/148 + -1\/37. What is the closest to z in l, 1\/5, i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 28*h**2 - 206*h + 54. Calculate t(34).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 + 23 = 30*j + 18 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 14755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 9:51 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/14, 0.4, -1, -66?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2522419.03 to the nearest ten thousand.\nAnswer: 2520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 258 + -105. What is the third derivative of h*u**3 + 60*u**2 - 272*u**3 + 175*u**3 wrt u?\nAnswer: 336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7333 at least -7304?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27.6995 + 28.4. Let c = 35.4 + -34.7. Let i = a - c. What is i rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13526*j - 9295 wrt j.\nAnswer: -13526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0411 < 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-3)*((-1070)\/(-35) + -28)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141709580807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 80\/81 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 3, -38, -2.\nAnswer: -38, -23, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, k: 1, q: 1, r: 3, i: 3, j: 1}. What is prob of sequence jr?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -8*z**2 + 3*z - 3. Let x(h) = -24*h**2 + 10*h - 8. Give -19*f(m) + 6*x(m).\nAnswer: 8*m**2 + 3*m + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 722.782ml in litres?\nAnswer: 0.722782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 12:50 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 6, 0.2, 0, -4.488?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/15, 1, -2\/9, 3\/7, -3\/935, -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78872, 315292, 709330, 1260992, 1970284, 2837212, 3861782?\nAnswer: 5044000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*w**2\/4 - 921*w\/4 + 99.\nAnswer: -(w + 132)*(7*w - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**3 + 18*l**2 - 30*l + 262. Let c be i(8). Solve 71*m = 96*m + c for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1656 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) -3 (c) -2 (d) 1\/186 (e) -1 (f) 4 (g) 2\/119\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -9*l**2 + 10*l + 24. Let h(s) = 5*s**2 - 4*s - 12. Let k(t) = 5*h(t) + 2*r(t). List the prime factors of k(3).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 4*b. Let d be 10\/5 - (-3 - 0 - 0). Let k = d + b. Solve -5*x = k + 5 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3 = -21. Let u(m) = -m**3 + 7*m**2 - 3*m. Calculate u(y).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from {v: 3, a: 13}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*s + 9, 0 = -0*m - 4*m + 2*s + 16. Let a(y) = 12*y + 3. Let w(k) = -24*k - 7. Let o(l) = m*a(l) + 2*w(l). Find the first derivative of o(p) wrt p.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165779 divided by -3?\nAnswer: -165779\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*s**2 + 64*s**2 - 19311 + 2*s**2.\nAnswer: 91*s**2 - 19311","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 4 + 8. Suppose -b - 3 = 0, -5*j + 5*b - 61 = k. What is the tens digit of 8624\/128 + 6\/j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of y**3\/3 + 6*y - 26. What is z(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19.327 - -9.673. Let j = 240.65 - 269. Let p = j + q. Round p to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 9:43 PM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -280 or -0.063?\nAnswer: -0.063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5700\/266)\/50 - (3 + 600\/(-21))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - 0) + (-3)\/6*-8. What is the third derivative of 43*x**2 - 73*x**2 + 4*x**5 + 23*x**3 - w*x**5 wrt x?\nAnswer: 120*x**2 + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.39 + -2.39. Which is the third biggest value? (a) -9\/5 (b) 0 (c) -4 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323821995.\nAnswer: 3, 5, 7, 3084019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*z + 6528*z**2 - 12*z + 6527*z**2 - 40 - 13056*z**2 + 25*z.\nAnswer: -z**2 - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2372669287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)\/(sqrt(50)*2))\/(sqrt(300) + (-2*sqrt(300) + sqrt(300))*-4 + sqrt(300)))**2.\nAnswer: 17\/360000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3526 and 492?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yv when two letters picked without replacement from zvzyuvbuuzvvuza?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 357 - -2?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-21)\/1122) + (16 - 17549\/1127)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 56035487?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1021100 (base 3) in base 9?\nAnswer: -1240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -182 in -5, -746, -0.8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 2 + 0)*(-p + p + 3*p) + 0*p + 0*p - 2*p)*(2 + 3 - 4).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -77.99911 + 78. Round b to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36391 is divided by 6013?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**5 + 4*f**3 - 2*f**2 - 3*f + 2.\nAnswer: -(f - 1)**3*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (0 - (1 + 3)). Let j(u) = 4*u**2 + 3*u - 4. Let b be j(l). Suppose -5*i + 72 = o, -2*i - 2*i + b = -4*o. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 - 654*t**2 + 3*t + 654.\nAnswer: -3*(t - 1)*(t + 1)*(t + 218)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16*(3\/(-6) + 0). Let p = z + 24. Suppose 0 = -4*x + 68 - p. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q**2 + 5*q**4 + 4*q**4 - 2 + 3*q**4 + q**2 + 2*q to the form s*q + p + u*q**2 + k*q**3 + j*q**4 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - 3*h + 0*h)*(4 - 4*h - 4) - h**2 - 15*h**2 + 3*h**2.\nAnswer: -17*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 611218322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 3*d - 3. Let b be -3*3\/(18\/(-8)). Suppose 3*z - 4*s - 1 = -23, 0 = 5*z + b*s - 6. Calculate q(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h**2 - 558*h - 10625. Give t(-117).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4939, 4937, 4935?\nAnswer: 4933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + -15 + 4 + -4 + 45.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1243 is divided by 166?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -7. Let z = 0.9 + -0.8. Which is the nearest to z? (a) -3 (b) g (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 806941721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11749764*u**4 + 6955*u**2 + 31 wrt u?\nAnswer: 281994336*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 10*x**2. Let p(f) = 4*f**2 + 3. Let d(h) = 9*h + 3*h**2 - 9*h + 6*h**2 + 7. Let g = 9 + -2. Let q(l) = g*p(l) - 3*d(l). Calculate q(a(o)).\nAnswer: 100*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*u + 9*u = -15*u - 893 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r - 1. Let h(d) = 73*d - 24. Let t(s) = -5*c(s) - h(s). Is 15 a factor of t(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*y = 21*y + 3*u + 3810, 4 = 2*u. Calculate the highest common divisor of y and 612.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 860741849 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14a - 15943?\nAnswer: -15a92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -84, 0, 3.373, 0.02, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b**(1\/2)*b))*b**(1\/4))\/((b*b*b*b**(-4)\/b)\/(b*(b\/(b**0*b))\/b*b)) assuming b is positive.\nAnswer: b**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43048 - 6128. Round z to the nearest 1000.\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 47\/36, -2\/5, -1\/5574 in decreasing order.\nAnswer: 47\/36, -1\/5574, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/24476 and 28\/618019.\nAnswer: 2472076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w. Let c(r) = -4*r**2 + 3*r - 3. Let y(d) = 5*d**2 - 4*d + 4. Let p(q) = -4*c(q) - 3*y(q). Calculate p(s(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 395 = -315. Let i be (d\/(-3))\/((-8)\/12). Let o = -33 - i. What is the remainder when o is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 5050*y**3 - 7*y**2 + 7*y - 1. Let u be k(1). Let a = -3409 + u. What are the prime factors of a?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15760 and 2860?\nAnswer: 2253680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84 and 517104.\nAnswer: 517104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4*d - 10. What is the least common multiple of 1\/(-4) - 405\/(-20) and p(6)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(1960) - sqrt(1960)*-4) + sqrt(1960)))\/(5*(sqrt(8) + sqrt(8)*1*-6)).\nAnswer: 168*sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 1.314433\nAnswer: 1.314433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2354c9a (base 13) to base 7\nAnswer: -161554236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -308*t**2 + 762*t wrt t.\nAnswer: -616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 107411, 429847, 967291, 1719743, 2687203?\nAnswer: 3869671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 184*v**2 + 2*v - 1. Let j be r(1). Let l = 602 + j. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -4973201\nAnswer: 3\/4973201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01997239 to four decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11787?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 439 divide 6601576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -0.0331.\nAnswer: -0.1324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**0)**31)**(-49))**43 assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -0*z - 20. Let c = -1 - z. What is the second derivative of -i + 2*i + 4*i**2 - c*i**2 wrt i?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*a - 27*a + 21*a**3 - 26*a**3.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 311*c**3 - 311*c**3 - 11 - 10*c - 4*c**4 + 5*c**4. Differentiate d(g) with respect to g.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1365, -1364, -1363, -1362, -1361, -1360?\n\"Answer: h - 1366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -16 (b) 4\/3 (c) -12\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.22 + -28.38. Let a = 28 + r. Let p = a + -0.4. What is the biggest value in 0.5, p, -1\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -12.07. Let k = 0.37 - f. Which is the second biggest value? (a) k (b) -2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 - 73*c\/2 - 705.\nAnswer: (c - 30)*(4*c + 47)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2 - 13 + 3*q + 2. Let y be k(6). Suppose y*t = -4 + 59. Is t greater than or equal to 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**3 + c**3 - 3*c**3 + (-2 - 2*c + 2)*(-2*c + 2*c**2 + 2*c) - 521470 - 3683*c**3 + 521470.\nAnswer: -3689*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.69 - 2.8. Let c = x - -0.01. What is c rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19591 - 140*s**2 + 35350 - 15759.\nAnswer: -140*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.36 less than 72771038?\nAnswer: 72771038.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 39\/176? (a) -3 (b) -5\/4 (c) -5 (d) 7.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m - 40*m + 39*m + 44*m + 30*m.\nAnswer: 69*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.21 (b) 14 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/361 (b) 0.34 (c) 0.0909\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/969780 and -39\/2747710?\nAnswer: 16486260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**3 + 1292*z**2 - 7839*z + 64. What is u(6)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02 and -3618496.\nAnswer: -72369.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -556, 405, 1356, 2291, 3204, 4089, 4940?\nAnswer: 5751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.827*50.\nAnswer: 141.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l + 4*t - t + 24, 47*t - 33*t + 16 = 12*t for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -0.76. Let p = 0.06 + f. Are -0.1 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + 0. Let o be (-1*(-1)\/(-10))\/((-12)\/(-30)). Let g = 18\/29 - 39\/203. Which is the closest to o? (a) n (b) -0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + -6. Let f be (-1872)\/(-84) + 2\/a. Suppose -i + v - 2 = -0*i, i - 5*v = -f. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 9*p**2 + 4. Let y be i(9). Suppose 6 = -y*c + 50. 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: Sort -361, 302\/7, 1\/4, -0.2, -1.\nAnswer: -361, -1, -0.2, 1\/4, 302\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) 1.7 (c) 2\/5 (d) -2\/3 (e) 0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-14625)\/6750*(-30)\/26\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -3 - 0) + 1 + 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 495381.53 days in weeks?\nAnswer: 70768.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -1449 (c) -63710\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.049 and 0.04.\nAnswer: 0.089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 159572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/20)\/(5\/(-20))*5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 10:14 AM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 6*t - 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/3790 and 25.\nAnswer: 3790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1592 divide 23183295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(364\/(-3549))\/((-4)\/3)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**4 + 110*u**3 - 5*u**2 - 110*u.\nAnswer: 5*u*(u - 1)*(u + 1)*(u + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8784 = -31*l + 8815. Which is the closest to l? (a) 0.2 (b) 2.9 (c) -2\/3 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20453 - -43044?\nAnswer: 103541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -18, -29, -40?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.14145 - 68.\nAnswer: -67.85855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119097289?\nAnswer: 23, 5178143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -3 (c) -1\/7 (d) 2\/3 (e) 3396\/19 (f) 1\/24 (g) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17781 by -6.\nAnswer: 5927\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 2\/3, -2, -4, 0.2, 0.0303 in increasing order.\nAnswer: -27, -4, -2, 0.0303, 0.2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28482118?\nAnswer: 2, 7, 29, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214652763.\nAnswer: 3, 13, 1834639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 0*f**2 + 195 + 191\/3*f**3 + 0*f + 45*f**4. Find the third derivative of y(a) wrt a.\nAnswer: 1080","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 3b9?\nAnswer: 3bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*c = -41*c - 378. Let g = c - -135. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21411 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 1 (c) 34 (d) -4\/15 (e) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09354 to 3 decimal places.\nAnswer: 0.094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/74 in 3, 4, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = a, 4*i - 906 = -3*a - 143. What is the greatest common factor of 20 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 325.314497 to one dp.\nAnswer: 325.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from {z: 6, k: 3, i: 5, y: 1}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1130121 is divided by 565058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v - 8. Let u(k) = k**2 + 4*k - 17. Calculate -2*u(q) + 5*z(q).\nAnswer: -2*q**2 + 2*q - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*l - 35*l - 39*l - 19787 = 0. Calculate the highest common factor of l and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3.3 (b) -1\/570 (c) -119\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2203255 is divided by 3029?\nAnswer: 1172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -2*z - 96. Suppose -j - 4*x + 68 = 0, j + 3*x - 95 + 27 = 0. Suppose -3*k - 14*k = -j. Calculate the greatest common divisor of k and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 5*w + 2*w)*(w - 3*w + 4*w) - 4*w + 4*w - 2*w**2 - w**2 + 2 - 2 + (4 - 2 - 3)*(0*w**2 + 0*w**2 - 4*w**2).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6263.2 + 6263. Which is the nearest to h? (a) 0 (b) -0.01 (c) 2 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 22 = 28. What is the smallest common multiple of l and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 * 0.0857721\nAnswer: -0.6861768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 11*o + 1)*(-2 + 4 - 1) - 91 - 7*o + 187 - 91 + (-4*o + 5*o + o)*(-2 - 1 + 2) - 3*o + 4*o - 2*o.\nAnswer: -21*o + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/17 - 72670*u\/17 + 1890772\/17.\nAnswer: -2*(u - 26)*(u + 36361)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1333 or 6807?\nAnswer: 1333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74540.0379 - 0.02516.\nAnswer: -74540.06306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 65209153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**4 - t**2 - t**4 - 3 + 0*t**3 + 4*t**3 + 3*t**2 to q + i*t**2 + v*t**3 + p*t**4 + b*t and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 3*o + 7 = 0, -3*b + 5 = o + 10 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -163772 divided by -40943\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 12:21 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 233145 and 24167.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -328 - -398. What is the lowest common multiple of w and 2?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 159163, 159151, 159135, 159115, 159091?\nAnswer: 159063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 130804 to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 94004471 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*g - 326214*g**2 + 329349*g**2 - 8*g to the form m*g + q + l*g**2 and give l.\nAnswer: 3135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1803276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -4772 bigger than -4773?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1355*l - 137200 = -47*l + 177*l for l.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 13*x**2. Let c(l) = -1143750*l**2. What is r(c(m))?\nAnswer: 17006132812500*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 11:48 PM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 14 = 6*c. Let q(g) = g**3 - 8*g**2 + 10*g - 5. Calculate the smallest common multiple of q(c) and 40.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 36. What is the remainder when 103 is divided by 23 - (v\/(-10) - (-18)\/(-45))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59.0789 + 0.0211. Let s = z + -65. Round s to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 192 and 4728.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, 0.05, -100, -5\/4, 0.6?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 146*z**2 + z. Let w(i) = 3*i. What is r(w(l))?\nAnswer: 1314*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 161 - 161. Let k(x) be the third derivative of n - x**3 + 0*x + x**2 + 1\/40*x**5 + 0*x**4. Factor k(j).\nAnswer: 3*(j - 2)*(j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-140)\/(-20)*-4*(-4)\/16\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60042 is divided by 1278?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 + 25. Suppose -51 = n - i*n + v, -3*n + 2*v + 25 = 0. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34213 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.32403 millilitres to litres.\nAnswer: 0.00332403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80288 and 1744?\nAnswer: 8751392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 34*k - 171. Calculate h(28).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v + 14. Let h be y(-6). Suppose -19*n - 5 = -h*n. Suppose 0 = -t - 0*a + 5*a + 17, 2*a = 5*t - 39. Solve -t = -n*f + 8 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 78*o**2 - 36*o - 36. Let b(v) = -11*v**2 + 5*v + 5. Give 36*b(c) + 5*y(c).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**2 + 11*g + 34. Let h be r(8). Let c(s) = -7*s**3 + s. Let f(x) = 6*x**3 - x. Let l be ((-1)\/1)\/((-1)\/(-5)). Give h*f(w) + l*c(w).\nAnswer: -w**3 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/(-16) - (-28)\/(-20)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2398818 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 348\/10 - (-2)\/10. Let d = 173 + -99. Suppose 66 = 10*y - d. What is the greatest common divisor of y and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of p**2 + 15. Let g(f) = 1 - 15*f + 8*f + 6*f. Let m(b) = -8*b**2 + 8*b - 8. Let z(v) = 24*g(v) + 3*m(v). Calculate i(z(l)).\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.06 - -8.06. Let g = d + -7.9. Which is the nearest to g? (a) -4 (b) 1\/11 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1206)\/201)\/(30\/3)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-489)\/163*2\/6*46.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1 * -0.1.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 11000011111 (base 3) to base 12\nAnswer: 39771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 i when three letters picked without replacement from iiiiihhiiidiiiiii?\nAnswer: 91\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/2 + 255\/238)*(-44 - -9). Solve -313 = -p*s - 373 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.1463 + 0.1463. What is the closest to 0 in -4\/3, 3, p, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -335*a**2*d - 222*a**2 - 11*a*d**4 + 7*a + 8 wrt d.\nAnswer: -335*a**2 - 44*a*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*x**2 - 2 + 19*x**2 + 19*x**2 - 5*x**2 to the form o*x + i*x**2 + z and give i.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p + 1. Let v(q) = -10*q - 19. Let c(j) = 5*a(j) + v(j). Suppose 0 = -z + 3*h - 14, z + 29*h + 10 = 30*h. What is the units digit of c(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6545 divided by 935\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 - -19. Let u be (-3)\/(-2)*o\/81. Which is the biggest value? (a) -9 (b) u (c) 5\/2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 + 2 = 7*i + 4*v, -4*i = 2*v + 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (70\/245)\/(54\/(-14)).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m**2 - 2*m + 2. Let k(t) = t**2 + t - 1. Let y be (-6)\/(-5)*(-80)\/32. Let b(q) = y*d(q) - 6*k(q). Factor b(z).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -20069387944 and -0.2?\nAnswer: 20069387943.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*y**2 - 875*y**3 - 8*y**2 + 878*y**3.\nAnswer: 3*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**2 - 2*f**2 + 5*f**2 - 2 + f**2 in the form k + y*f**2 + z*f and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 380 - 376. Suppose -5*g + x*g + 4*i = -19, 4*g - 21 = 5*i. Which is the fourth smallest value? (a) 1\/2 (b) g (c) -7 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t - 7. Let g be l(10). Differentiate 42*h - 42*h - 4 + 3*h**g with respect to h.\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*j)*(2*j + 0*j - 9*j**3 - 3*j**3).\nAnswer: 24*j**4 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g - 1. Let z(r) = 4*r + 2. Suppose -6 - 44 = 10*v. Let l be z(v). Let y be 50\/l + 4\/(-18) - -3. What is p(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 2*n - 4. Let g = 23 - 11. Suppose 0*y = -4*y + g. Let m be -1*(y - 7)\/(-1). Give i(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56 + 4*d**2 - 115*d - 8*d - 2*d**2 + 0*d**2 + 54 to the form j + w*d**2 + u*d and give u.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7 - (-50)\/250*(-15 + 0). Solve 0 = 5*y - 4*b + 3, 0 = -y + m*b + 7 + 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**2 - 2*y + 2. Let u(d) = d**2 + d - 1. Calculate 3*f(m) + 6*u(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m - m + 4*m + (-5 + 3 + 4)*(3*m + m - 2*m) + 0*m - 5*m + 2*m)*(3*m**3 + 4*m**3 - 3*m**2 - 10*m**3) as r*m**3 + k*m + y + u*m**2 + n*m**4 and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - x**2 + 4*x + 1. Let w be y(-3). Let v(b) = 7*b + 12. Let a(g) = 36*g + 60. Let j(r) = -2*a(r) + 11*v(r). Is j(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) 2\/17 (b) -4 (c) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (18 + 1 + -23 + 14 - 17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 12*a + 11. Let n(k) = k**3 - 6*k**2 - 3*k + 6. Let z be n(6). Calculate the lowest common multiple of 11 and t(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - 102\/18)\/((-21)\/18396). Calculate the highest common factor of z and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 370073.8 millilitres in litres?\nAnswer: 370.0738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 9 + 4 = 0. Suppose -3*l - 5*q - 23 = -2, -5*l - 3*q - 19 = 0. Put r, 4, l in ascending order.\nAnswer: r, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + -8. Let a be 4*2*(-6)\/n. Let z(h) = 3*h + 6. What is z(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - n**3 - 1 + 379*n - 192*n - 188*n - 3. Let b(h) = 2*h**3 + h**2 + 2*h + 7. Let l(c) = -3*b(c) - 5*i(c). Calculate l(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 5*h. Let l be w(-3). Let x(m) = -3 + 8 - l*m + 5*m**2 - 4*m**2. Let y be (3\/6)\/((-5)\/(-50)). Give x(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*w**5 - 2*w**5 + 39103454 - w**2 - 39103424 + 10*w + 4691*w**6 wrt w?\nAnswer: 562920*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 q when three letters picked without replacement from {t: 2, e: 3, n: 1, g: 6, y: 4, q: 4}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2466\/(-20961) + 80\/102?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3*y**3 - 3 + 2*y**4 - 2*y**2 - 1 - 5*y**4 to the form t*y**2 + f*y**3 + h*y + a + r*y**4 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*1)\/((4368\/52)\/(-42))*24?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*x + 8 + 0*x - 1122*x**2 - 22 + 1131*x**2 to the form p*x**2 + b + l*x and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 16*i = 0. Solve -10 = 2*m - i*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1470\/392)\/((-6)\/(-4)). Solve 1\/2*v**3 + l*v**2 + 2 + 4*v = 0 for v.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 218 - 1088\/5. Suppose 20 = -2*y + 7*y. Factor 8\/5 + 38\/5*t**3 + p*t**5 + 14\/5*t**y + 32\/5*t + 10*t**2.\nAnswer: 2*(t + 1)**3*(t + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 84, -12, -8, 49?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i. Let c(g) be the third derivative of 7*g**5\/60 - 4*g**2. Determine r(c(y)).\nAnswer: -28*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 2 - (-8 + 13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*s = -3*s - 931 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-5) + (-56)\/(-280)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**7)**(-31))**37 assuming o is positive.\nAnswer: o**(-8029)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 6*l**2 - 217*l + 41. What is a(12)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1392883, 2785768, 4178653, 5571538, 6964423?\n\"Answer: 1392885*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -32610 smaller than 278?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + -1 + 1 - 0\/5. Let m be ((-3)\/(-3))\/((-1)\/3). Sort 0, y, m.\nAnswer: m, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2302.2 - -2287.041. Round d to 1 decimal place.\nAnswer: -15.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.6 + -1. Let z be 4 - 303*(-4)\/(-312). Let r = -28\/39 - z. Which is the third smallest value? (a) r (b) 0.04 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -1. Let n(l) = l**2 - 25*l + 2. Let m be n(25). Let p be 2\/(-3)*m + (-2 - -3). Which is the closest to 0.2? (a) p (b) k (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 3*u - u)*(-u**4 + 0*u**4 + 3*u**4) + (u**2 + 0*u**2 + u**2)*(-u**2 + 2*u**3 + u**2) + 3*u**5 - 3*u**5 - 3*u**5 - 4*u**5 + 6*u**4 - 6*u**4.\nAnswer: -9*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**4\/2 - 19770*b**3 + 178011*b**2 - 534114*b + 1068309\/2 = 0.\nAnswer: -13189, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 6*w - 11. Let f(b) = b - 2. Let r(j) = 2*a(j) - 11*f(j). Let s be r(2). Solve -2*o = -4*i + s, -3*i - 4 = -4*i for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**3 + 2*v**2 - 1. Let q be t(1). Suppose -q*x = -x - 198. What is the remainder when x is divided by ((-10)\/(-15))\/(-2*(-2)\/204)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/216*-21*10\/770*11.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 5*x**3 - 4*x**2 + 3*x - 3. Let j be s(3). Let k = j - 209. What is the units digit of (1 - 5\/20)\/((-2)\/k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*c - 3*i - 4, 0 = -4*c + 3*i + 13. Find the third derivative of 27*p**2 - 22*p**2 - 3*p**5 + c*p**5 wrt p.\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.09*-0.049752\nAnswer: 0.00447768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**4 + 3*j**4 - 2*j**4 + (-5*j**2 - 5*j**2 + 19*j**2)*(-2 - 2*j**2 + 2).\nAnswer: -16*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2938*u = 2947*u - 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (11 + -18 + 3 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 m when three letters picked without replacement from {g: 14, m: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = n - 2, l + 7*l = 3*l + 5 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -50*n + 41*n. Are n and 14 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(192) - -3*sqrt(192))**2*-3 + (sqrt(21) + -4*sqrt(21))\/sqrt(7) + sqrt(147) + 4.\nAnswer: -9212 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -1307*q + 10458. Give n(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -22614.83344 from 10.369.\nAnswer: 22625.20244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 - 13*c + 40.\nAnswer: (c - 8)*(c - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r - 1 - 10 + 3*r**2 - r**3 - 5 + 12. Let b be q(2). Suppose b*d = -2*n + 240, -2*d + 471 = 2*d + n. What are the prime factors of d?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + i**2 + i - 3. Let v = -15 - -15. Let c = v + 0. Give t(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-10) + 4\/10. Suppose -s + 9 - 6 = z. Suppose 5*d = -s*i + 23 + 496, 4*d - 422 = i. Does 28 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4*y = 0, 2*y - 5*y - 24 = -3*u. Let a be 0\/((u - 3) + 1). Put -2, a, 1 in increasing order.\nAnswer: -2, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5ab3 (base 16) to base 3\nAnswer: -1011211222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 18 = -0*i. Let j(z) = z**3 + 8*z**2 - 10*z - 4. Let l be j(i). Suppose -5*f = -5*u + 105, 3*u + l*f + 29 = 4*u. What are the prime factors of u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 - -1 - (-2 + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -7*u + 3*u**2 + 0*u - 4*u**2 + 6*u + u**3. Let o(p) = p**4 + 5*p**3 - 3*p**2 - 3*p. Let r(j) = -4*o(j) + 12*q(j). Let r(k) = 0. Calculate k.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = u - 5*h - 44, 3*h - 62 = -5*u. Suppose -149*a = -53*a - 265 - 1367. Suppose -a*c = -u*c + 50400. What is c rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 5*a - 20, -a + 12 = 3*p - 6*p. Sort -1, p, -8, -2\/9.\nAnswer: -8, p, -1, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*w - 6*w - 12*w + 159012. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4*j = -16, -2*l - 2*j = 8 - 0. Let c = l - -7. Find the third derivative of -c*n**6 - 3*n**6 + 11*n**2 + 12*n**6 wrt n.\nAnswer: 240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-670)\/50 - -9 - -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -16. Let b = 9 - 6. Suppose -3 = b*q - 2*q, 0 = 5*s + u*q - 386. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -4*b - 7. Suppose 0 = 3*j - 6*j + 3. Suppose 4 + j = -o. Is p(o) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011000 + -110001?\nAnswer: 1100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) -8 (c) 2 (d) -10\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*x**2 + 9*x**2 + 2 - 3*x + 0*x**2 as t*x + g + p*x**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 146309\/37 - 1292837\/814. Let i = n - 2363. Find the common denominator of 5 - (-6 + 1385\/60) and i.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 12*r - 3. Let z(y) = 9*y - 4. Calculate -6*f(s) + 5*z(s).\nAnswer: -27*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d - 3*d + 2*d. Let h be (2\/2)\/(31\/93). Let l(i) = -11*i + 4*i - 10*i - i - h*i. Determine l(z(n)).\nAnswer: -42*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -188*p**3 - 10*p**2 - 2*p. Let t(k) = 197*k**3 + 12*k**2 + 2*k + 1. What is -6*h(f) - 5*t(f)?\nAnswer: 143*f**3 + 2*f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 8:49 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 + -2)\/((-2)\/(-2)). Suppose -m + j = 3*m + 3*y, 0 = -4*m - 4*y + 4. Suppose 5*x + 0*x - 155 = -5*b, m = -2*x + b + 47. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.23 and 188939?\nAnswer: 610272.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -569.08 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2419744*m + 7. Let o be i(-5). Let s = 17098727 - o. Round s to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -9*u + 4. Let k(j) = -4*j + 2. Let s(z) = -5*k(z) + 3*y(z). Let c be 2\/(-1) + 3 + 0. Let q(f) = 2*f + 0 + 2*f - c. Calculate 5*q(h) + 3*s(h).\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -26*f + 6. Let h(i) = -5*i + 1. Suppose 4*k - 7 - 5 = 0. Suppose -5*u + k*y + 80 = 0, 2*y + 27 = 2*u - 5. Determine u*h(s) - 3*c(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -11*q. Let d(h) = -38*h**2 + 40*h**2 - 57*h**2 - 97*h**2 - 10*h**2. Calculate i(d(f)).\nAnswer: 1782*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*f - 4*f + 3448 + 1622 = 0. Calculate the remainder when f is divided by 156.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -55, -78?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/17*f**2 - 2\/17*f + 0.\nAnswer: 2*f*(f - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 4852\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 4. Let k be 218\/(-12) + y\/(-36). What is the lowest common multiple of 104 and k\/30 - 129\/(-15)?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 2134.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -17397, -17429, -17483, -17559, -17657, -17777, -17919?\n\"Answer: -11*h**2 + h - 17387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195597416.\nAnswer: 2, 7, 498973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**3 + 14*n**2 - 22*n + 66. Calculate the remainder when l(5) is divided by 44.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2019103391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2083*k - 2083*k - 7*k**2.\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 7 + 4)*(-10*q**3 + 20*q**3 + 90*q**3) + 2*q**3 - q**2 + q**2.\nAnswer: 1202*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5*(-42)\/180 - (-2)\/(-12). Suppose -4*v + 146 = 3*p, t - 5 = 2*p. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 936. Let p be j(0). Let k be 79\/4*p\/(-20). Let i = 916 + k. Find the common denominator of i and 21\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61762145 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*((-86)\/(-5)*7\/(-14))\/(762\/(-1270)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 2 (c) 3 (d) -6087\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(156) - (sqrt(156) + -2*sqrt(156) + sqrt(156))) + sqrt(156))*-3 + (sqrt(156) - 2*sqrt(156)*-6))\/(sqrt(144)\/(sqrt(336)\/sqrt(7))).\nAnswer: 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75416 and 525847487?\nAnswer: 9427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 + 4*z. Let g be i(3). Suppose -2*f - 3*u = 46, -f + 3*f - u + g = 0. Let l = f - -43. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 + -1)*(18\/(-6) - 236).\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2978, -5437, -7892, -10343, -12790?\nAnswer: -15233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 166.86159 minutes?\nAnswer: 2.7810265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) -91\/8 (c) -30 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in -4, -29, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1664*z + 1666*z + 1664*z - 4995*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.79397ng to milligrams.\nAnswer: 0.00005479397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 4:48 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 9*z - 2 + 136*z as d + t*z and give t.\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*-9*28\/105. Let z(t) = -2*t**3 + 10*t**2 - t - 2. Let j be z(5). Which is greater: n or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1102\/152 - ((-7)\/4 - -2). Solve 40 = t*b + 19 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6675 and 844165.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -18*s**3 - 2*s**2 - s. Let q(c) = 53*c**3 + 5*c**2 + 3*c. Give 11*o(p) + 4*q(p).\nAnswer: 14*p**3 - 2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411799?\nAnswer: 411799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 + -0.419. Let d = -8.749 - -8.6. Let i = v - d. Which is the third biggest value? (a) -1\/10 (b) i (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-6))\/((-5)\/20). Put 0, n, -5 in descending order.\nAnswer: n, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -7*t + 9*t. Suppose -2*c = -3*p + 34, -2*c + t*c + 3*p + 50 = 0. Let b be (-8)\/14 - 316\/c. Calculate the greatest common factor of b and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74094 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -604018170 divided by 6\nAnswer: -100669695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(2\/(4\/(-2))). Let b(l) = l**2 - i*l**2 + 5*l**2. Let v(d) = -2*d. Calculate v(b(f)).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -5*y - 81. Let r = y + -29. Let w be (r + 1)\/(12\/18)*-2. Solve 2*z = 2*k - 8 - 8, w*z = k - 14 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5*m**3 - 180*m**2 + 1127*m - 120. Determine g(28).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006658525 rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2460857275?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p + 4*p - 4*p - 3 - 3*p + p + 3*p + 1 - p - 1 + (0*p - 3*p + p)*(4 - 4 - 2).\nAnswer: 6*p - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + m = 14. Let c = 393 - 281. Calculate the highest common factor of m and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1021 (base 5) to base 4\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 679 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 7*h + 8. Suppose -4*j + 5*z + 4 = -15, -5*j - 3*z = -33. List the prime factors of p(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1800900?\nAnswer: 2, 3, 5, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 3 (b) -0.06 (c) -11 (d) -0.6 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 - 0.3. Let g = -0.1 + r. Let p = 2 - g. Which is smaller: p or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1062367944 divided by -34?\nAnswer: -31246116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -k**8\/2352 - k**7\/490 + k**6\/70 + k**5\/21 - 2*k**4\/7 + 9*k**2 + 95*k. Find d such that r(d) = 0.\nAnswer: -4, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-19)\/(x\/x**(-1\/3)) assuming x is positive.\nAnswer: x**(-61\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0 - 4 = 0, -3*c = -5*m + 16. Let v be -1*((-4)\/(-6))\/(c\/(-3)). Let y(g) = -3*g**2 + g - 2. Let w(b) = b**2. What is v*y(h) - w(h)?\nAnswer: 2*h**2 - h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 2 + 16 + -13.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - (-5)\/(-3))*-3. Suppose 0 = i*y - 0 - 4. List the prime factors of y*-3*(-5)\/3.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n = -7*n - 260. Suppose -a = s + 4*s, 2*a - 3*s - n = 0. Calculate the remainder when a is divided by -2 + 0 - -6 - (-35 + 28).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 303*i - 6008*i - 3618*i + 186*i.\nAnswer: -9137*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 31 - 207. Let o be v*((-5)\/2 + 3). Solve 2*i - 6*i = -5*s - 35, 5*i + s = o for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 3. Suppose -4*a + 8 = -w*a. Solve -2*z + 6 = 3*g, 3 = -a*g + 11 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 266.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 1 + -70 + 27 + 66\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, v: 2, p: 2, w: 2, s: 1}. Give prob of picking 1 p and 1 w.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -2\/11, 2, -4\/3 in ascending order.\nAnswer: -4\/3, -2\/11, 3\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*q**2 - 153*q**2 + 254 + 299*q**2.\nAnswer: -2*q**2 + 254","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 728 and 1144?\nAnswer: 8008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22293201 is divided by 1311362?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/(-90)*(-8)\/(1040\/(-45)))\/(4\/2)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*p**3 + 3*p**3 + 31*p**3)*(-2*p + 10*p - p) in the form r*p + d*p**2 + t*p**3 + l + q*p**4 and give q.\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 280365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5*n = 268, -g - 4*n + 74 = -27. Suppose -j + g = 2*j. Let k = j + -11. Is k a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 44*i + 14. Let w(p) = -3. Calculate d(r) + 6*w(r).\nAnswer: 44*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -7*g**3 + 2*g**2. Let v(r) = -6*r**3 + 2*r**2. Let m = 18 - 8. Suppose b + 0*b = 5*z + 29, 0 = -2*z - m. Let j(s) = b*n(s) - 5*v(s). Solve j(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 7*x - 9. Suppose 0 = 4*q - x*i + 6 + 1, i + 5 = 5*q. Let r(t) = -6*t + 16. Let u be r(q). Solve 3*b + 2 = u*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 306\/(-204) + ((-7)\/(-2) - -2). What is the nearest to 0.1 in 0.02, t, -0.1, 2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (159 - (-45 + 38)) + -80.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6650\/488775)\/((-6)\/(-27))?\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwywywwwwwyyww. Give prob of sequence yy.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f + 252*f**2 + 757*f**4 - 756*f**4 + 125*f**3 - 253*f**2 as d*f**3 + s + n*f + w*f**2 + o*f**4 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-149 + 149 + 27*w)*(7 - 4 + 5) as c*w + j and give c.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*r**2*y**3 + 193*r**2*y + r**2 + 600 wrt y?\nAnswer: 27*r**2*y**2 + 193*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 23 = -5*w, -5*f = -w + 6*w + 30. Let x be f*12\/(-2 + -1). Suppose -4*o + 461 = -o - s, x*s - 326 = -2*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -31350 to the nearest one thousand.\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 63.18839 kilograms?\nAnswer: 63188390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 n, and 1 q when three letters picked without replacement from {n: 2, d: 1, y: 1, q: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -77*f + 72*f. Calculate the remainder when f is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yeysysyyyytyyyyyyeet. Give prob of picking 2 y, 1 t, and 1 e.\nAnswer: 156\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11596720 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1646 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6116?\nAnswer: 2, 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -121 by -100082.\nAnswer: 121\/100082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/70*-1*2.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -27 and -154 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -42240444 (base 8) in base 16?\nAnswer: -894124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 1. Let b(h) = -33*h. Calculate y(b(m)).\nAnswer: -1089*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) -0.3 (b) 0.06 (c) 3 (d) 5 (e) -1.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 605 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2118*b**2*i**2 - b**2*i + 9*i**2 - 6*i - 6517 wrt b.\nAnswer: 4236*b*i**2 - 2*b*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -139, -114, -59, 38, 189?\n\"Answer: 2*h**3 + 3*h**2 + 2*h - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2906050, -2906074, -2906136, -2906254, -2906446, -2906730, -2907124?\n\"Answer: -3*l**3 - l**2 - 2906046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 1)*47135\/(-55). Let l = h + 2573\/3. Suppose -1\/3*j**3 - l - 4\/3*j**2 - 5\/3*j = 0. Calculate j.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 1:28 PM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226962*h + 226957*h + 7*u + 220 = 0, h - 2*u - 47 = 0 for h.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5665 or -7381?\nAnswer: -5665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 39507.\nAnswer: -1\/13169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(-6))\/(1\/(-6)) - (-4418 - -4426). Solve 2*g - 4*k + 4 = m, -5*g - 3*k - 10 = -8*k for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15308?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.068 - -0.118. Which is the nearest to 0? (a) s (b) 0.3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, b: 1}. What is prob of sequence brr?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1665 and 5217?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/(-232) - 259\/(-29). Let g(c) be the third derivative of c**4\/24 - 11*c**3\/6 + c**2. Determine g(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m - 2. Let g be x(4). What is the derivative of -g - 6*r + 4*r + r**2 + 2*r wrt r?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0\/o**(-5))\/((o\/o**(-2))\/o)**34)**(-17) assuming o is positive.\nAnswer: o**1071","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 344 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1592 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5 + 3*z + 4 + z. Let r be h(1). Suppose r = m - 0. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -136, -92, -48, -4?\n\"Answer: 44*r - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144919?\nAnswer: 313, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 i when two letters picked without replacement from {e: 4, i: 3}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 695013, 695012, 695011, 695010?\n\"Answer: -s + 695014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -1bddc?\nAnswer: -1bddc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 628861322*v**4 + 2444*v**2 - 2*v - 53190 wrt v.\nAnswer: 15092671728*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 3*a + 21 - 56, -17 = -5*a - 2*g for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, r: 9, h: 2}. What is prob of picking 1 p and 1 r?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2354 - -1494. Let r = o + 935. Calculate the greatest common factor of 135 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.38 and -2.12.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3591)\/567)\/((-133)\/462).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36218521.\nAnswer: 36218521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*j = -2, 2*s - 6*s + 5*j + 68 = 0. Suppose 2*g = -c + 32 + s, -2*c - 2*g + 110 = 0. What is the highest common factor of 28 and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of 15*t**2\/2 + 9*t + 11. What is the first derivative of w(b) wrt b?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -y**4\/4 + 2*y**3 + 8*y - 3048. Let z = -2 + 8. Give o(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12094 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 75 - 75. Solve u = 4*q - 7*q + 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -71*x + 406 - 1329 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -1\/14 (b) 5 (c) 7 (d) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -65, -132, -199, -266, -333?\n\"Answer: -67*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 + -45. Let i be (-3)\/((-4)\/(-14) + u\/168). List the prime factors of 724\/6 - (16\/i)\/(-2).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n\/n**(-1))*n)**(5\/9)*n**(-3\/2)\/n**5*(n**(-7)\/n*n**1)\/(n*n\/(n*n**(2\/5)))**(-30) assuming n is positive.\nAnswer: n**(71\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 3. Suppose -3*l - 14 = -a, a - 4*a + x = -l. What is the common denominator of 0 + (-10)\/24 + a and 73\/50?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/7*-6)\/8?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -4*d + 3*i, 7 + 11 = d + 3*i. Let c = -2 + d. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 4:58 AM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 1004?\nAnswer: 10040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.8, -5, 303, 5, -0.06 in descending order.\nAnswer: 303, 5, 0.8, -0.06, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 186084655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144 divided by 48.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 13*n**2 - 14*n + 3. Calculate k(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13770 - 13775. Sort -14, q, -0.046, 5 in increasing order.\nAnswer: -14, q, -0.046, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/6 and 133\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.21326 millennia in decades?\nAnswer: 8721.326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h**2 - 9*h + 23. Let t(a) = -3*a**2 + 5*a - 11. Let m(l) = 4*j(l) + 7*t(l). Let g be m(-5). Is -8 less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*k**3*z**3 - 92391*k**3*z + 2*k**2*z**2 - 11*k**2*z + 2*k**2 + 18*z**3 - 321*z wrt k?\nAnswer: 174*z**3 - 554346*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3147*l**2 + 98*l**4 - 3*l - 17*l**4 + 3149*l**2 in the form a*l + v*l**3 + i + k*l**4 + n*l**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37831.\nAnswer: 37831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -3. What is the second derivative of 4 + 4*z**3 - 4 - 3*z**3 + k*z wrt z?\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306*u + 5095634 = 5076662 for u.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k**2 - 5*k - 14. Let j(c) = 17*c**2 + 26*c + 72. Calculate 2*j(p) + 11*r(p).\nAnswer: p**2 - 3*p - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*n**3 - 220 + 217 - n**3 wrt n.\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3089, 6227, 9365, 12503?\n\"Answer: 3138*j - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.39, -3\/44, 233 in ascending order.\nAnswer: -3\/44, 0.39, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, q: 5, j: 3}. Give prob of sequence qqj.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 + -15 + 12 - 22) + 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 3\/4 (c) -3.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 5*y**2 + 3*y + 9. Let z be j(-3). Let h = z - -6. Let t be (-4 + 34\/4)*h. Calculate the greatest common divisor of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4205 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r + 0*r + 5*r - 5*r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7\/6 (b) -0.2 (c) 3 (d) 0 (e) -246\/17 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*t - 198*t + 1522920. What is the thousands digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 712870 divided by 92?\nAnswer: 356435\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 214 - 214. Solve z = -9*s + 3*s + 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*-1*(-7 - -1). Let j(q) = q**3 + 7*q**2 + 4380*q + 17484. Let l be j(-4). What is the highest common factor of b and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 5*w - 2. Let v be j(2). Let z(s) = -s + 12. Let o be z(v). Let p be 36*o\/66 - 2. Which is the third smallest value? (a) 1 (b) p (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -413241 divided by -369?\nAnswer: 137747\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/25, -51\/2, 0, 7.069 in descending order.\nAnswer: 7.069, 0, -2\/25, -51\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11 - (10 - 180\/192). Let m = 96 + -94. Is o equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 28*p + 5. Let k(v) = 14*v + 2. Let m be 6\/27 - (5 - 6\/(-27)). Determine m*k(j) + 2*u(j).\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 0.146, -0.5, -1.5, -0.077?\nAnswer: 0.146","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 15149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9772035, -9772035, -9772033, -9772029, -9772023, -9772015?\n\"Answer: p**2 - 3*p - 9772033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 954*l**3*w*x + 7*l**3*w + l**2 - 2*w wrt x.\nAnswer: 954*l**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 21*m**3 + 2*m**2 - 2*m. Let z(d) = -d**3 + d**2 - d. Give -t(o) + 2*z(o).\nAnswer: -23*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/567 and 62\/189.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 14*v + 20. Let f be r(15). Solve 2*u = -a + f*u + 5, 0 = 3*a - 5*u - 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150607495087 + 427*f**3 + 150607495087.\nAnswer: 427*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/3201 and -73\/37257.\nAnswer: 3613929","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 8 = -3*c, -3 = -5*b + 11*c - 9*c. Let z(o) = -o**3 - 2*o**2 + 1. Calculate z(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 3:52 PM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 11 - (-2 - 11 - (-58 - -1))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2)*-5*(-2 + 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/37170744 and 31\/8.\nAnswer: 37170744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -12, 64 - 4 = 5*c - 5*n. What is the third derivative of -147 + 147 - c*j**2 + 3*j**4 wrt j?\nAnswer: 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 3*k**2 - 30*k + 2 - k**2 + 26*k = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -78*t + 18686. Give j(287).\nAnswer: -3700","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/3 = -10915992?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-230)\/(-1242)*24\/(-20).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183*l + 20*l = 22*l - 740. Solve -25 = q + l*o, o - 2*o - 30 = 5*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - z**2 - 6*z - 3. Let m(y) = 36*y**3 + 12*y**2 + 72*y - 36. Calculate -m(a) - 12*r(a).\nAnswer: -24*a**3 + 72","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15711 and 0.82.\nAnswer: 12883.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 86979 (b) -5 (c) 46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96) - (sqrt(96) + 6*(sqrt(96) + (2*sqrt(96) - sqrt(96)))))\/(1*sqrt(288)))\/((-5*sqrt(66))\/sqrt(11) + sqrt(6) - 5*sqrt(150)).\nAnswer: 2*sqrt(2)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9872.141l in millilitres?\nAnswer: 9872141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-22))\/(161\/184*(-18)\/21).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -55*r**4 + r**2 - 3*r + 114*r**4 - 58*r**4 + 0*r**2 as j*r**3 + v + o*r**4 + g*r + p*r**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 1625*c + 360. Let y be l(0). Solve -59*z + y = z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -402, -334, -266, -198, -130?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 6*u**3 + 3*u**2 + 3*u - 4. Let d be s(3). Let z = -94 + d. Is z a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6 - (-78716)\/(-198)*(-6)\/(-380) and 21\/475.\nAnswer: 1425","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 471.3 + -2.\nAnswer: 469.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1797203175 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/145 and 73\/2.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 122 = 5*r - 2*j, 0 = -2*r - 5*j + 247. Suppose -m = -r - 192. Calculate the greatest common factor of 44 and m.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1585*k**3 - 47*k**2 - 540 + 794*k**3 + 387*k - 31*k**2 + 794*k**3.\nAnswer: 3*(k - 20)*(k - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*v - 1. Solve v = -d - d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -5*r - 2. Give o(3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o + 19. Let x be t(13). What are the prime factors of (-9)\/((-18)\/x) - -382?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 57950165 - 77486.\nAnswer: 57872679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 2:27 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9632, 19265, 28898, 38531, 48164, 57797?\n\"Answer: 9633*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-seven halves of a day?\nAnswer: 19440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -217*x**2 - 1517*x + 14. Give o(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 5*d - 20, -2*d = -5*d + x + 20. Suppose 46 = 6*c - d. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 476849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1521854707.\nAnswer: 1877, 810791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -4*r**5\/15 - r**4\/24 + r**3 + r**2. Suppose -2*h = 14 - 2. Let t = 5 - h. Let l(z) = 3*z**2 - 1. Calculate t*l(g) + 2*q(g).\nAnswer: g**2 - 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of 0 + 1\/18*l**4 - 4*l**2 - 25*l + 4\/9*l**3. Let q(w) = 0. Calculate w.\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123 = -5*m + 118 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -320479, -1281919, -2884317, -5127673, -8011987, -11537259?\n\"Answer: -320479*o**2 - 3*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -225, -311, -285, -147, 103?\n\"Answer: 56*k**2 - 254*k - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(1 + 2 - 6). Let x = j + -5. What is the common denominator of 85\/6 and (1\/3)\/(x\/(-558))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*p + 17*p - 37*p - 55*p in the form l*p + y and give l.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 6:39 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 - b**2 - b**2)*(-3 - b**3 + 3) + (2*b**4 - 6*b + 6*b)*(150*b - 27 + 27).\nAnswer: 301*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, m: 1, d: 3, n: 3}. Give prob of sequence nnnm.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.93 - 4.866. Let g = f - 0.0689. What is g rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250633.\nAnswer: 41, 6113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 + 14. Suppose -11*i - 1 = -10*i. Let k be -10 + 0\/(-2) + i. Which is smaller: k or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89405 + 94806 - 79276 - 404354 = -4643*w for w.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79534, 159066, 238594, 318118?\nAnswer: 397638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -10*k**2 - 80936*k + 32376 = 0.\nAnswer: -8094, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -2132 to the nearest 100.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/15 (b) -3 (c) 9 (d) 6 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y**2 - 2 - 2 + 5 + 6*y**2. Is b(3) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*v + 1 + 37*v + 4)*(20*v**2 - 40*v**2 + 19*v**2).\nAnswer: -6*v**3 - 5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7939233899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001689 rounded to seven dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1547, 1744, 1955, 2186, 2443, 2732?\n\"Answer: h**3 + h**2 + 187*h + 1358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.6672481 - -5.667. Round v to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -4 + sqrt(112) + sqrt(112) + sqrt(112) - (sqrt(112) - sqrt(112)*6*5))**2*6.\nAnswer: -6144*sqrt(7) + 688224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -14*p. Let h be -4 - 1*(-3 - -1). Let u(z) = 6*z. Let i(s) = h*x(s) - 5*u(s). Let t(d) = 11*d - 1. Give i(t(r)).\nAnswer: -22*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114 divided by 5.\nAnswer: 114\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4004 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h. Suppose 0 = -i + 5*f - 4*f - 5, 3*i = -4*f - 29. Let o(g) = 20*g + 13. Let l(c) = 17*c + 12. Let j(b) = i*l(b) + 6*o(b). Give r(j(n)).\nAnswer: 2*n - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/130 and 93\/25419238.\nAnswer: 127096190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, 7, -22 in decreasing order.\nAnswer: 36, 7, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4*-0.1989423\nAnswer: 0.7957692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27776 is divided by 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20136335965 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -5*g**2 - 5*g + 2*g + 8 - 3*g + g**3. Suppose 0 = 4*k - 4*o - 20, -2*o = -k + 2*o + 2. What are the prime factors of r(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 9*q**2 - 10*q - 3. Let f be l(-10). Calculate the remainder when (f\/(-2))\/((-3)\/(-8)) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3437.\nAnswer: 7, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 16*z = -3*z + 8*z - 14*z - 166, 0 = 3*c - 3*z + 54 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of b**6\/60 - 13*b**5\/60 - b**4\/12 - 14*b**3\/3 + 63*b**2 + 6*b - 4. Calculate h(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (952\/(-2))\/4*4434\/15519.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 5.4.\nAnswer: 0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by 6?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 323, 1375, 3175, 5747, 9115, 13303, 18335?\nAnswer: 24235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 3175?\nAnswer: 3174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2643 = 2*w, w - 1341 = 2*m - 6*m. Let f = w + 195. List the prime factors of f.\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-5 - -1)\/(-2))\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y = -2418 - 582. Suppose 19 + 16 = o. Suppose -3*u + y - o = 0. Does 15 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 + (-821)\/(-154) + 20\/(-70) and 31\/30?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 668 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 188*r**3 - 724 + 105*r**3 + 726 + r**3 + 0*r + 0*r + (3*r**2 + 4*r**2 - 5*r**2)*(-5*r - 12 + 12).\nAnswer: 284*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -0*f + 9*f. Suppose 5*h - 10 = -f. Solve -y + 6*y = 2*j - 26, 3*j + h*y - 1 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 + -41. Solve 2*r = -2*s - 4, -a*r + 5 = 3*s + 14 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and -223564.\nAnswer: -223564.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.11 - -0.05. Let r = 2.94 - y. What is the second smallest value in r, -3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-7 - (-1 + 0)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101434331 + 0?\nAnswer: 101434331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 o when three letters picked without replacement from oifyeio.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) 1 (b) -13 (c) -1 (d) 2 (e) -6\/55\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.824940669 from 0.5.\nAnswer: -0.324940669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -82 - -81. Let m be 4\/(-2)*(-2 + 1). Which is smaller: m or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001377908 to 7 decimal places.\nAnswer: 0.0000138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 328 a factor of 678807376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or -13?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(540)\/(sqrt(45)\/sqrt(5))*-5)\/((sqrt(12) - (1*sqrt(1728) - sqrt(1728)))*-6).\nAnswer: 5*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*k + 21 - 28 - 53 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3988021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*b + 9. Let y = 11 - b. Is (4 + y)*(59 - 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 11*l - 5. Let i be g(10). Suppose 0 = i*u - 2*u. Which is the second biggest value? (a) -2 (b) u (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 155667?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 u when two letters picked without replacement from {v: 3, u: 4, x: 5}?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + -8. Let m be 4*(-2)\/k*15. Let a be (-2)\/(-7) + m\/(-84). Is -1 less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23.72 and 83.7?\nAnswer: 1985.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6.6? (a) -0.4 (b) -0.1 (c) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -9. Let t(s) = 5*s**4 + 4*s - 5. Let n(b) = 0*b - 3 + 5*b**4 - 6 + 4*b**4 + 7*b. Let k(j) = a*n(j) + 7*t(j). Differentiate k(g) with respect to g.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 909536 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r. Let i(j) be the third derivative of j**4\/24 + 9*j**2. Calculate s(i(d)).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-8)\/(1*(-18)\/(-3))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(187) - 2*(sqrt(187) + (1*sqrt(187) + sqrt(187) - sqrt(187))) - 2*sqrt(187)*1))\/((sqrt(11) + (sqrt(11) - -1*sqrt(11)*6) + 2*sqrt(11)*-1)*6).\nAnswer: -5*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(7\/4)*(s**(-15)*s*s)\/s)\/(s*s\/(s*s\/s**(6\/11))*s**(2\/19)\/s) assuming s is positive.\nAnswer: s**(-9949\/836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -92351839\/24 + 3849263. Let y = -1270 + c. What is the common denominator of 13\/3 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13065 divided by -65?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4*d**2 - 19*d + 10. Let a be p(22). Suppose -k + 743 = 5*t, a = 2*k + 29*t - 33*t. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 3*p = 74, 5132*s - 45*p - 1376 = 5131*s + 8*p for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 4080126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-3\/13))\/h**(-15) assuming h is positive.\nAnswer: h**(211\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -4. Let q be (-2*(-6)\/(-16))\/(42\/(-32)). Which is the nearest to v? (a) 0.5 (b) -0.4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n + 4*n - 28 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/(-14) + 258\/(-28) and ((261\/30)\/1)\/((-120)\/(-50)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*h + 33*h = 0, 5*h - 13946 = -2*b. What are the prime factors of b?\nAnswer: 19, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5121737616?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -54.43 + 54. Let x = v + 0.35. Let i = x - 0.34. What is i rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 288533058 and 2046.\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1603.1 + -1603. Which is the closest to m? (a) 208\/3 (b) -0.4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 - -104 - (251 - 148).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6, 10, 0 in descending order.\nAnswer: 10, 0, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 584153 is divided by 263.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1886 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: Two letters picked without replacement from {h: 1, e: 1, k: 1, d: 9}. What is prob of sequence dh?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 2:03 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b**4 - 4470*b**3 + 80196*b**2 - 266920*b - 890400 = 0. What is b?\nAnswer: -2, 10, 4452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2487 + -2377. Solve -5*h + 135 - b = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 5:55 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (18\/(-30))\/(-15 + (-32624)\/(-2160)) and 1*-3*(-58)\/15.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2015569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 926074660?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -338 + 574. Let m be (-1 - (-6054)\/(-26)) + -2. Let d = i + m. Is 0 at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -435*t**4\/2 + 741*t + 761. Differentiate c(a) with respect to a.\nAnswer: -2610*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from ssccsss?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.345, 4, 2\/5, 1, -3, -5\/6 in ascending order.\nAnswer: -3, -5\/6, 0.345, 2\/5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 3 + 3)*(-18*m - 13*m - 31*m)*(m - 4*m + 2*m).\nAnswer: -62*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 - 976?\nAnswer: -969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 7*b**2 + 18*b - 18. What is l(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qj when two letters picked without replacement from {q: 4, s: 4, j: 3}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 354905920 to the power of 1\/4, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 10 + 1. What is the highest common factor of g and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 449483, 449482, 449471, 449444, 449395?\nAnswer: 449318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + g**2 + 1. Suppose -3*j = 3*x, 3*j + 0 + 3 = 0. Let k(m) = -6*m**3 + 5*m**2 - 2*m + 5. Let c be 12\/16 + (-46)\/8. Determine c*h(q) + x*k(q).\nAnswer: -q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.9 minus 24042127.4359?\nAnswer: -24042160.3359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -26514*f*h + 766*f + 3 wrt h?\nAnswer: -26514*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 711209 + -0.079261.\nAnswer: 711208.920739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 2\/5 (c) 7\/129\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -9.6. Let v = j + -0.4. Which is the closest to 2? (a) v (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1118 and 517849?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m - 504 = -504. Let c(u) be the second derivative of 0*u**2 - 1\/270*u**6 + m*u**4 - 2\/27*u**3 + 0 - 4*u + 1\/60*u**5. Factor c(h).\nAnswer: -h*(h - 2)**2*(h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, g: 1, j: 1, u: 2, z: 1}. What is prob of picking 2 c and 1 z?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**8*o**(-9))\/((o**(4\/7)*o)\/o*o*o**(-8)) assuming o is positive.\nAnswer: o**(-67\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 746 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 524*a + 124647 - 155039 = 0 for a.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of 7\/60*y**5 - 3*y**2 - 1\/12*y**4 - 7\/6*y**3 + 0 + 0*y - 1\/120*y**6. What is h(6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.629 > -7285\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/882 and 47\/70?\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/1078 and 139\/1176?\nAnswer: 12936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/7, 0.086, -1\/3, 0.2, -0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 864440.\nAnswer: 2, 5, 21611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 16*r - 1. Is f(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 188 - 185. Let z(n) = -31*n + 56. Let x be z(2). Let j(a) = a**3 + 2*a**2 - 5*a - 4. Let w be j(-3). Put 1, g, x, w in increasing order.\nAnswer: x, 1, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -607, -1203, -1801, -2401, -3003, -3607, -4213?\nAnswer: -4821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 7*c**2 - 92*c + 26. Calculate o(13).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 5 (c) -3 (d) -2\/317 (e) 0 (f) -0.5 (g) -36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01890649505 rounded to 3 decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2524*t + 0*t**2 + 2104*t + 1967*t + t**2 as y*t**2 + f + v*t and give v.\nAnswer: 1547","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 177506*m**3 + 5*m**2 - 9*m + 9. Is s(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2 = -2*u - 6, 0 = -4*t + 5*u + 17. Let b(z) = 27*z**2 - 3*z - 5. Let m be b(t). Suppose -5*s + 126 = -m. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -528?\nAnswer: 1\/176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 19 = 4*c, -3*c - 30 = -8*g + 5*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -508.8 to the nearest ten.\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 30*g**3 + 115*g - 38922*g**2 + 38805*g**2 - 38 + 11*g**3 - g**4 = 0. Calculate g.\nAnswer: 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 less than or equal to 106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5 (b) 0 (c) 3 (d) -0.4 (e) 1\/6 (f) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -7455530 bigger than -7455531?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 157760?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 410115466?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2d + 1d0d?\nAnswer: 1cd0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/35*(-10)\/(-12))\/(288\/672).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -362*l**7\/21 - 461*l**4\/6 + l**3\/6 + 407*l - 2. Find the third derivative of c(n) wrt n.\nAnswer: -43440*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182330353.\nAnswer: 1481, 123113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(-2\/3)))**(-10\/11)*(n*n**(2\/3)*n)**35 assuming n is positive.\nAnswer: n**(1020\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1374 times -2465?\nAnswer: -3386910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.3, 2, -83, -5, -0.5, 0.5 in ascending order.\nAnswer: -83, -5, -0.5, 0.5, 2, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2014074?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -n**3\/3 - 1283. Let f(s) = -112*s**2. Determine q(f(i)).\nAnswer: -12544*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 607453687 is divided by 989.\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kwwwkkwkaapkkk. What is prob of picking 2 k and 1 a?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/9 - 10*g\/3 + 68\/9.\nAnswer: -2*(g - 2)*(g + 17)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 1, -3, -3\/7, -9 in decreasing order.\nAnswer: 1, -1\/5, -3\/7, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 53*z**2 + 113*z + 157. Determine t(-55).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -20.3. Let s = t - -0.7. Sort -1\/5, s, 2.\nAnswer: s, -1\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r - 2*r - 2*r + ((1 - 5 + 3)*(2 - 2 + 2) - 5 + 4 - 1)*(2*r - 4 + 4).\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003848 rounded to five decimal places?\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*q + 31*q + 34*q.\nAnswer: -30*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a + 9*a - 5*a)*(-157*a - 203*a + 211*a) to g + n*a**2 + k*a and give n.\nAnswer: -596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3037527642 to the nearest integer?\nAnswer: 1448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of v**4\/4 - 4*v**3 - 6*v**2 + v + 47. Is 4 a factor of i(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2872221 (base 9) in base 11?\nAnswer: -991236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -137867\/7 + 19693. What is the closest to 1 in 5, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (108\/144)\/(3\/4). Let s be (3\/(-2) - -1)*0. Let c be (-105)\/26 + (s - -4). Is z less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/6 and 35\/1545034?\nAnswer: 4635102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -12.0701173 and -7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5 - 6*f)*(-6*f - f + 2*f)*(-3*f - 3*f + 5*f) - 14*f**3 - 7*f**3 - 20*f**3 to the form j*f**3 + d*f**2 + a*f + m and give j.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from {h: 5, w: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 120, 185?\nAnswer: 250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 - 52*x**2 + 98*x - 36. Let z(w) = -w**2 + 2*w + 1. Let u(l) = 13*l - 129. Let p be u(10). Let v(b) = p*r(b) - 6*z(b). Factor v(h).\nAnswer: 2*(h - 21)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*x**2 + 3567072000 - 3567072000.\nAnswer: -39*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3214 + -1919. What is the remainder when w is divided by 81?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27581 + 131745 = -1943*p for p.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -11*q**3 - 7*q**2 - q - 4. Is x(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78725041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9598 - -9610. Solve 0 = 123*t - 129*t - l for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n + 13. Let r be q(0). Let w(c) = 2*c + c**3 - 3*c**2 + 4 + 10*c - r*c. Determine w(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 5 + s + 2 + (-1 + 1 - 2)*(-6*s + 4*s + 0*s).\nAnswer: 5*s - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -72, -238, -564, -1104, -1912, -3042, -4548?\nAnswer: -6484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/15*(-8)\/((-56)\/(-105))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-25)\/(-4)*(18 + -6). Let o = -73 + y. Are o and 19\/12 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32*-0.5.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 7. Let r = 0.7 + t. Let p = 0.62 - r. What is p rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + 22.7. Let q = h - 0.11. Let w = 0.41 + q. Which is the biggest value? (a) -2 (b) w (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47375484 a multiple of 857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*t + 161*t + 168*t - 2034 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (0 + -2) - (-48)\/(-33).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 4 + 14 = 3*f, 18 = -3*m + 3*f. Let i = m + 4. Solve -3*r - 15 = 3*c - 2*c, 4*c + 15 = -i*r for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/9*36\/(-8). Solve -8 = -2*o - 0*o - 2*c, -j*o = -c for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 173, 289, 489, 779, 1165, 1653, 2249, 2959?\n\"Answer: d**3 + 36*d**2 + d + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1))**(3\/4)\/((b\/((b\/(b**(1\/2)\/b))\/b*b))\/b**(4\/5)) assuming b is positive.\nAnswer: b**(11\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1139b - -4203?\nAnswer: -9198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/96 and 51\/88.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -473906\/287 equal to -1650?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - c = 4*w - 316, -5*w - 4*c + 390 = 0. Is w a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 5*d - 6*d + 206 = 0, 72*i - 2*d + 157 = 75*i for i.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 9.99, 3630 in decreasing order.\nAnswer: 3630, 9.99, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.97 - -8. Let k = r - 3.03. Let d = -2 - k. Which is smaller: d or 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*h + 135*h = 126 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, n: 3, x: 2, h: 1, y: 1, v: 3}. What is prob of picking 1 y and 1 n?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 50.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-1748)\/(-4389) - 123\/287\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 3\/23, 1, 0.07, 2\/9?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i + 14. Let f be z(-8). Let x be (3 + f)\/1 - -1. Solve -x*h - 2*h - 5 = -o, -4*h - o = -5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 104273\/15 + -6951. Factor 0*o - 2\/15*o**2 + u.\nAnswer: -2*(o - 2)*(o + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -b**4\/12 - 59*b**2\/2 - 61. Let h(a) be the second derivative of p(a). Let f(j) = -j**2 - j. Determine f(h(o)).\nAnswer: -4*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = i - 24, -g = 3*g - 3*i + 28. Let c be (-35)\/g - (-2)\/8. Let d = 8 - 8. Solve 4*f - 2 - c = -3*n, 2*f + 5*n - 9 = d for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1101010001011010000110 (base 2) to base 16\nAnswer: 351686","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12435, 1070, 14577, 28086, 41597, 55110?\n\"Answer: d**2 + 13502*d - 25938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/9*(-1 + -332). Is (-39)\/(-65) + u\/10 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 233100 (base 4) to base 12.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 47, 1, -4\/3 in descending order.\nAnswer: 47, 5, 1, -4\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + y + 10. Let v be c(0). Let f = v + 0. Is 127\/((f\/(-5))\/(-2)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a day in minutes?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6800 + 13269. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/12*3\/66*4.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 170816 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -u**2\/2 - 3*u - 50. Let c(t) = 2*t + 5. Let v(d) = -2*c(d) - 3*w(d). Let p(f) = 2*f + 9. What is p(h) + 4*v(h)?\nAnswer: -2*h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 t, and 1 w when three letters picked without replacement from {w: 11, c: 1, t: 1, x: 2, k: 1}?\nAnswer: 11\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -8*r**2. Let j(l) = 7*l**2 + 1. Let m(h) = -5*j(h) - 4*z(h). Let g(x) = -80135 + 40062 + 5*x + 40073. Determine g(m(u)).\nAnswer: -15*u**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6469*r - 6443*r + 468 = 0 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7.331631km?\nAnswer: 7331631000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5.2 and 5.015808024.\nAnswer: 10.215808024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - r**2 - r - 3. Let h be c(0). Let q = -1 - h. Suppose 5*t - 58 - q = 0. Solve -5*u = -u + t for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-22)\/18 - 2\/(-9). Let d be (-2 - r) + (-25415)\/(-4525). Let s = d - 3\/181. Calculate the common denominator of s and -44\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1190)\/(-2380))\/((-13)\/6 + 1). What is the third smallest value in h, -1\/24, 1\/41?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 178\/14 + 10\/35. Suppose -2*v - o = -5*r + 9, -3*v = r + 33. What is the tens digit of 4\/(1 + 1) - v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 227, 293, 495, 899, 1571, 2577?\n\"Answer: 11*t**3 + 2*t**2 - 17*t + 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 59*w + 1590. Calculate r(-27).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 85898626 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -707 + 711. Solve -3*i + l*i = 2*u - 3, 3*u = -3*i - 9 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1743186022?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -465 divided by 5\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3036 - 5481 + 2720 - 1 + 4 - 5 + (0 - 1 + 3)*(-2 - 3 + 4) - 1 + 5 - 3 - 3 + 0 + 1 + 0 - 2 + 3)*(5*z - 3*z - z) to s*z + h and give s.\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2117355, -4235518, -6353681, -8471844, -10590007?\nAnswer: -12708170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/4*(-3 + 171). Suppose 0 = j + 2*j - o. Let n(w) = -j*w + w**2 + 28*w. Let l(p) = 25*p. What is n(l(i))?\nAnswer: 625*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -104232 by -4.\nAnswer: 26058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**2*m**4 + 15*j**2*m**3 + 4*j**2*m - 2*m**5 + 1263*m**2 wrt m?\nAnswer: 24*j**2*m + 90*j**2 - 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l. Let n(g) = 21*g. What is n(w(s))?\nAnswer: 84*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1943832 is divided by 1902?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/2)\/k**(2\/11))\/((k*(k*k**2*k)\/k*k)\/k**(-4\/5)) assuming k is positive.\nAnswer: k**(-603\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 452 is divided by 58?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5879 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -9*a**5\/4 + 37*a**4\/12 + 2*a**3 - 2*a**2 - 4*a. Factor c(x).\nAnswer: -(x - 1)*(5*x + 2)*(9*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*h - 4*o, -2*h + 3*o + 5 = -7. Let w(a) = a**3 - 9*a**2 + 8*a + 3. Let r be w(8). Solve 2*x = -4*m - 4, -1 = -x + h*m - r for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50876811933 + 0.69\nAnswer: 50876811933.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeee. Give prob of sequence eeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j - 1. Let d(c) = -2*c. Let h be d(-1). What is the units digit of p(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2235 or -1595?\nAnswer: -2235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*u - 2622 = -1332 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 586511388?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-75)\/10 - -9 - (-9)\/2. Solve a*q - 2*q - 5*w = 3, -3*q - 4*w - 21 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 212288.\nAnswer: 212288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 6. Let a be z\/(-3)*(-45)\/(-10). What is the derivative of -1 - a + 1 + 4*c**4 wrt c?\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 3 - 5, 2*w = -d + 55. Let c = w - 10. Let r = -55 + 100. Calculate the highest common divisor of c and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q**2 - 2*q**2 + q**2)*(-145 - 97 + 242 + 6234*q) to s*q**2 + m + d*q + f*q**3 and give f.\nAnswer: -6234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12552 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*p + 685 - 685 + 2*p**2 + 4*p - 4*p - 2*p**2 + (1 + 1 - 3)*(-p**2 + p**2 + p**2) - 2*p**2 - p**2 + 4*p**2 - 180*p**2 + 114*p**2 - 37*p**2.\nAnswer: -103*p**2 - 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6773, -3874, 955, 7714, 16403?\nAnswer: 27022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 415 = -5*h + 535. Solve 19*y - 10 = h*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3127 in 0.2, 4, 0.02, -3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-27)\/(-15))\/(15\/50). Suppose -w = -s - 4. Let m(u) = 3*u + 2. Determine m(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 164740 and 164740.\nAnswer: 164740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*p + 4*t, 5*p + 4*t = 0. Let f(l) = l**2 + 6. What is f(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3\/4 + 75*h**2\/4 - 57*h\/2 - 234.\nAnswer: 3*(h - 4)*(h + 3)*(h + 26)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16471523?\nAnswer: 937, 17579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 126, 1, 0, -3 in increasing order.\nAnswer: -5, -3, 0, 1, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3*q = 81688. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2802319d + 5?\nAnswer: 280231a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.02999924 + -0.03. Round i to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(44) + 1 + sqrt(44)) - (-1*sqrt(2156) + sqrt(44)).\nAnswer: 3 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 756600 and 8125?\nAnswer: 18915000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a century in months?\nAnswer: 3120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*b + 78*b + 7*b.\nAnswer: 113*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 1)\/(19\/52911781267). Let g = -25088538856417\/9009 + p. Let o = g + 4\/1001. Find the common denominator of o and 22\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -853\/25 + 171\/5. Which is the smallest value? (a) -5 (b) -6 (c) h (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17*f**3*q + 8*f**3 - f**2 - 11*q - 19 wrt f?\nAnswer: 51*f**2*q + 24*f**2 - 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 10 = 4*v. Let x(w) = 21*w - w**2 + w**2 + w**2 - 1 - 13*w. What is x(v)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3131*g + 434. Let s(m) = -29*m - 4. Let p(x) = -2*r(x) - 217*s(x). Let h(f) = f. Give p(h(q)).\nAnswer: 31*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.1469061kg?\nAnswer: 146906100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 48*s**2 - 2*s + 1. Suppose -2 = 2*n + 3*p, -n - 3*p = 4 - 0. Let k be (1\/3)\/(n\/6). Does 12 divide z(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -169\/2*t - 1\/4*t**2 - 28561\/4.\nAnswer: -(t + 169)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -4*w - 123. Let p be i(-32). What is the highest common divisor of 55 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/164840 and 101\/5850.\nAnswer: 7417800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21.946 + -21.846. What is the closest to z in -3, -2\/7, -40\/11?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3143*u**2 - 7*u. Let a(f) = -4716*f**2 - 11*f. Calculate -5*a(z) + 8*w(z).\nAnswer: -1564*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*c - 7*c + 65 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 625 is divided by 201?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -35*s + 1404. Give t(41).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 5*w**3 + 154*w**2 - 11954*w - 369591. Give z(-31).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 6*m**2 - 6*m + 11. Let t be f(-4). Let o be (-171)\/(-45) + t\/15. What is the biggest value in o, 6, -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**6\/120 + i**5\/20 - i**4\/8 - i**3\/3 + 2*i**2. Let f be 4 + -3 + -1 + -2. Is 3 a factor of b(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1, 0, -56, -5 in ascending order.\nAnswer: -56, -5, -0.2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 316*p - 7278. Let f be i(23). Let h = -6 - -14. Suppose -h - 4 = 3*t. Which is smaller: t or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 312 - -787. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 647085 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 757291156.\nAnswer: 2, 41, 79, 58451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g**4\/5 - 20836*g**3\/5 + 376504*g**2\/5 + 167264*g = 0 for g.\nAnswer: -5227, -2, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3, 0, 4, -11, -1, -509 in descending order.\nAnswer: 6, 4, 3, 0, -1, -11, -509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (17589\/(-156))\/(-41)*(48\/484)\/2\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*k - 5*k + 11*k.\nAnswer: 19*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -984 + 993. Put 0.01, -0.5, f, -2\/11 in decreasing order.\nAnswer: f, 0.01, -2\/11, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1155 from -1.9.\nAnswer: 1153.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 - 22. Let u = y + -4. Which is bigger: 0.06 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/4 of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10655551.\nAnswer: 10655551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -24b + -4?\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -450\/531281 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 152520241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 3*m + 7 = 12, 0 = m - 5 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4 + 0.4. Let u = -0.1 - 0.1. What is the closest to a in u, 4, 0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) -0.01 (b) 0.1 (c) -314 (d) -0.051\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0*2\/(-4))\/(-2). Suppose -i + 673 - 45 = p. Calculate the common denominator of 109\/22 and (-1)\/(-5) + i\/(-440).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -754.5 - -754.7. Let h be 4\/12 - 4\/6. What is the closest to h in -2, f, -6\/13?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2554702.\nAnswer: 2, 19, 23, 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 8) to base 4\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - b**2 + b + 9. Let d(v) = -10*v**2 - 18*v - 2*v**3 + 524 + 0*v**3 - 2*v**3 - 542. Let y(f) = -d(f) - 2*q(f). Let y(s) = 0. Calculate s.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5570 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 319511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16497 (base 12) to base 2.\nAnswer: 111110000110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + 4. Let k = w + -9. Let b(c) = 5*c**3. Let j be b(k). Solve -4*p - 1 - 2 = -i, -5*i - 10 = j*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.93 + -1.93. Let j = 0.131 - 2.431. What is the nearest to -2\/5 in j, t, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 159 = -5*t. Let z = 81 - -122. Suppose 0 = 14*s - z - 49. Calculate the remainder when t is divided by s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 887931759.\nAnswer: 3, 11, 13, 83, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4*s + 295 = -2*r, 5*r + s = -310. Is r at least -65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**2 - 4*m**2 - 2*m**2 + 2*m**2.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 120439901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a tonne in kilograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -139 - -259. Let i = l + -162. Put 2, -2, i in descending order.\nAnswer: 2, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 (base 12) in base 2?\nAnswer: -1001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100010110111001 (base 2) to base 13.\nAnswer: -1a068","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -5. Let m(n) = 0*n - p - 3*n - 1 + n**2. Let a be (-17)\/(-4) - 5\/20. Calculate m(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-9)*6 + 0 + 7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13378, 26759, 40142, 53527, 66914?\nAnswer: 80303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59.87 + -59.97. Let d = 0.28 - 0.17. What is the biggest value in w, 10, d?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 107*q**3 - 4*q**2 - 6*q + 19. Is x(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 35 + 14 = -2*d, -2*d + 4*j = -26 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2 = k - 9, 3*k - 18 = -d. Suppose -p**2 + 3*p + 7*p**2 - p**3 + 0*p + 4*p**d = 0. Calculate p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2078.9 and 1.1.\nAnswer: -2286.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3796896 and -993.\nAnswer: 3795903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*f = 28*f - 25. What is the fourth biggest value in -3\/4, f, -0.2, 18?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 12:17 PM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.03 + 0.01. Let q = -92.1 + 92. Let d = 0.37 + 0.13. Which is the closest to q? (a) 0.1 (b) y (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 282966?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fb when two letters picked without replacement from {b: 2, f: 1, i: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 - 28.58. Let w = c + -1.42. What is the second smallest value in w, 2, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2*sqrt(19) + sqrt(19) + 4 - (-5*sqrt(76) + sqrt(304) + 0).\nAnswer: 2 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 151*p + 55 - 508. Let l(r) be the third derivative of 0 + 0*r + 8\/3*r**p + 0*r**4 - 9*r**2 - 19\/60*r**5. What is the derivative of l(u) wrt u?\nAnswer: -38*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24\/7 or 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240725 = -11197*o + 1046909 for o.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2119944437.\nAnswer: 13, 19, 8582771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120050 and 56450?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -6*j - 4. Let y(a) = -a - 1. Let o(s) = t(s) - 5*y(s). Let r be o(-3). Let m = r + 24. Calculate the highest common divisor of 70 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**2 - 3*f**2 + 2*f**2)*(66*f**3 + 0*f**3 + 50*f**3) + (3*f**2 - 4*f**2 + 2*f**2)*(-4*f**3 + 4*f**3 + 2*f**3).\nAnswer: 234*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 2*v**2 + 4*v + 8. Let g(q) = q**3 + 2*q**2 + 3*q + 9. Determine 4*g(s) - 3*r(s).\nAnswer: s**3 + 2*s**2 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 49570*c + 2329798. What is n(-47)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3591 - -28731\/8. Let q = 2 + -2.1. Let w = 1 + -1. What is the closest to w in 1\/5, q, u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jn when two letters picked without replacement from {n: 4, j: 3}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, w: 8}. What is prob of sequence wcwc?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - 0*(-1 - 0). Suppose 2*t + 4 = -y. Let o be ((-1)\/t)\/(-1)*1. Which is bigger: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + 12 - 31) + 16 - -38.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 289673038?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -k**4\/12 - 5*k**3\/6 + 4*k**2 + 6*k. Suppose -4*c - 30 = -6. Determine a(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z - 70*z**2 + 0*z - 121*z**3 + 72*z**2 - 79*z**3. Does 25 divide h(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1493.819 to the nearest 10.\nAnswer: 1490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 402 divide 3988242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 162644 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -911694946*c**2 + 1823389874*c**2 - 911694930*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -4*d**2 - 524*d - 520 = 0.\nAnswer: -130, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 0*q**2 - 2*q + 1\/4*q**4 + 41 + 0*q**3. Let j(z) = 48*z. Let u(p) = p. Let x(d) = 2*j(d) - 80*u(d). Determine x(a(w)).\nAnswer: 48*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s - 10. Suppose -8*n - 12 = -9*n. Let c be t(n). Let f be 32\/c - (-70)\/(-245). Solve -f = 2*d + 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -7. Suppose 0 = -2*j - 2*j + 4*q + 1599980, -3*q + 15 = r. What is j rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21 and 355.4.\nAnswer: -7463.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.098181 years to decades.\nAnswer: 0.0098181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 8 - 0. Let z(g) = -g + 14. Let q(i) = -i + 21. Let l(j) = -5*q(j) + 7*z(j). Let u(o) = -3*o - 11. Determine h*l(f) - 5*u(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from odldrordorolpol. What is prob of picking 1 p and 1 l?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1132535 is divided by 396?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22008.\nAnswer: 2, 3, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3)*(3 + 2 - 3)*(3 - 4 + 2)*(2*j + j - 5*j).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7463 and 71179?\nAnswer: 31247581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -78508 and -3?\nAnswer: 235524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -2*p + 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s. Let p(o) = o**3 + 9*o**2 + 11*o + 19. Let b be p(-8). Let x(k) = -3*k - 3. Calculate b*y(u) + x(u).\nAnswer: 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - 6*x - 2*x)*(19 - 26 - 71 - 36)*(-2 + 3 + 1).\nAnswer: 2508*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.4 (b) 5581 (c) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51 - -65. Is h a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1284 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 318989 to the nearest integer?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -5, -1\/6, 0.2, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -250*g - 3*g**2 - 247*g + 497*g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.1, 115, -0.3, -2\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 divided by 407.\nAnswer: 52\/407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -292*i + 35. Calculate the remainder when 4442 is divided by n(0).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 1797906\nAnswer: -4\/898953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2321964 and 192?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 78733.53 and -0.7?\nAnswer: 78734.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/7*m + 6\/7*m**2 + 2\/7*m**3 + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + sqrt(171) + 2 + -4)*-3*-6 + -5.\nAnswer: -41 + 108*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -3*l - 38, 4*l + g + 757737 - 757679 = 0 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 235 - 240. Which is the second smallest value? (a) z (b) -11 (c) -4\/9 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/10*(-15)\/6. Let x be (-50 - -66)*1\/8. Solve v*z = -x*g + 1, 7 - 5 = g for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 16649995 = -t, 3*g + 2*t + 14507077 = 4517067. Round g to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-6)*(-4524)\/(-5481)*-27.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**5\/4 + 12079*c**4\/4 + 36384825*c**3\/4 - 548178451*c**2\/4 + 476811997*c\/2 + 2193972540 = 0.\nAnswer: -6047, -3, 8, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -749597.5031 rounded to the nearest ten?\nAnswer: -749600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i - 18. Let w be f(3). Let v = 195 + w. What are the prime factors of v?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -16225, -4, 2, 4 in descending order.\nAnswer: 4, 2, -1, -3, -4, -16225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 12*k**2 + 2*k - 3. Calculate a(2).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3031267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*f - 115 = -5*f, -4*i = -5*f - 275. Let o be (14\/6)\/((-35)\/(-15))*5. Calculate the highest common divisor of o and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43015 divided by 1?\nAnswer: 43015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2040870172 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 2*p. Suppose c + 7 = -3*h - 1, -4*h - 10 = c. Let s be m(h). Let u = 47 - 37. Solve j - u = 5*z + 2*j, -2*z + 4*j - 4 = s for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -395.1 + 398.1. What is the closest to 8 in 37, 3\/4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -164718\/113 > -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(104) - (sqrt(104) + sqrt(104) + sqrt(104) + sqrt(104)*-2 + sqrt(104))*2) + sqrt(104))\/(-1*sqrt(128)))**2.\nAnswer: -4*sqrt(13) + 77\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 17*y + 38. Let w be 3*(0 - y) + -35 + 31. Solve 6*q - w*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 9*c**3 - 5*c. Let f(t) = 13*t**3 - 7*t. Suppose -4*d - 14 = 3*z, 0*d - d + z = 7. Calculate d*f(y) + 7*x(y).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-15 - -3)\/(-6) + (-1 - -29) and 27?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 772564+305647\nAnswer: 1078211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4 = 3*z. Let f = 5 - z. Suppose f*r - 99 = -0*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -439268*d*f**2*v + d*f**2 + 3*d - 215707*f**2 + 438*f*v - 58*f - 2 wrt v.\nAnswer: -439268*d*f**2 + 438*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*s - 6*s + 4*s as m + t*s and give t.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h - 4 - 3 - 4*h. Let i be g(-4). Suppose 3*a - 637 = -2*r, -2*a + 2*r = i*r - 433. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8992\/76143 + 2\/4479. Let f = 3886\/23 - 169. Which is bigger: s or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 11*v**2 - 2 + 0*v**3 - 2*v + 0*v**2 + v**3. Let u be g(-10). What is the greatest common divisor of 36 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2267\/9 less than or equal to -252?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w - 4. Suppose -23*b + 8 = -25*b. Determine j(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20559 divided by 623?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -131 + -4 + 1 + -99 + 115\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 + 159 = -7*x. What is the remainder when 48 is divided by ((x\/4)\/1)\/(6\/(-8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -837, -843, -849, -855?\nAnswer: -861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 231, 249, 301, 405, 579, 841?\n\"Answer: 3*b**3 - b**2 + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10247 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1659)\/316*(-32)\/(-28)*-6?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*w + 732 - 158 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -7\/2*q**2 - 1\/6*q**4 + 0*q**3 + 0 + 10*q. Differentiate a(u) wrt u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10091.\nAnswer: 10091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*h - 21 = 16 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-4)*(-9120)\/855.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2232 (base 4) to base 8.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 3*h - 2. What is the remainder when t(-3) is divided by (14\/(-21))\/(3\/(-27))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*y**2 - 11*y**2 + 2*y**5 + 5*y**5 - 5*y**5 + 2*y**5 + (-3*y**2 + 3*y**2 - y**4)*(-4*y + 3*y + 2*y) - 2*y**5 - y**5 + y**5.\nAnswer: y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**(2\/5))**(-23))**(2\/11))**(7\/11))**11 assuming z is positive.\nAnswer: z**(-644\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 411413 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-70))\/(48\/168).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1152 and 26304?\nAnswer: 157824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b - 1. Let h be w(5). Suppose 4*n - 24 = -h. Let q = n + 11. Is 7 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17262 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21.08*22.\nAnswer: -463.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n**2. Let z(k) = -1 - 4 + 19 - 7 + 16*k. What is z(p(s))?\nAnswer: -48*s**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2019 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 11*z**2 - 10*z - 9. Let c be i(12). Suppose -17*l = -c*l - 60. Suppose 0 = j + 24 - l. Solve -3*a = 3*v - j*a, v = 5*a for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-9))\/(126*60\/(-48600))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/5223412?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)\/((sqrt(77)*5)\/sqrt(11))*-2 - (1*sqrt(252) + 5 + -3 + 1*sqrt(252))**2)*-3.\nAnswer: 726*sqrt(7)\/5 + 3036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 - 39. Let x(l) = l**2 + 13*l - 5. Let m be x(-12). Let y be 6\/12 + m\/2. Are z and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64555 + 47961 = 850*l - 21107 + 13773 for l.\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*k**3 - 5 + 5 + 12*k**3.\nAnswer: 30*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21010200 - 11112?\nAnswer: 20222011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2574 and 2015?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 179\/5 - 1238\/35. Let c(j) = j**3 - 12*j**2 + 20*j + 1. Let p be c(10). What is the second biggest value in 0, d, p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -54161\/21 - -2579. What is the closest to 4 in g, -2, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 86*r**2 + 698*r + 695*r - 1392*r in the form g + l*r + u*r**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 4*n. Solve 0 = 3*p + m - 8, m + 0*m + 1 = n for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13464274\/54*3 - (9 + (-316)\/36) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + (-2 + -13)\/(-3). Let t(f) = 2*f - 2. Let r be t(-2). Let y = r + n. What is the smallest common multiple of y and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 793880223?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/182*203\/58.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 153442 and 306?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7.8+-419091774.4095\nAnswer: -419091766.6095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(a**5 + 0*a**3 + 0*a**3 + (4 - 4 - 3*a**2)*(2*a**3 + 0*a**3 + 0*a**3) + 3*a**5 - 2*a**5 - 3*a**5).\nAnswer: -7*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yoolloolooollyllol. What is prob of sequence lyol?\nAnswer: 28\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 5*b + 61 = 0, -72*w - 327*b + 323*b + 160 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -9*b. Let j be t(0). Suppose -3*s + 15*s = j. Which is bigger: -1\/280 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 4*r + 18, -m - m = -3*r - 11. Suppose m + 77 = -29*x. Sort 0, 4, x, 2 in increasing order.\nAnswer: x, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**5 + 2832872*v**4 + 1337528239020*v**3 + 210503315154303400*v**2 + 210501977628897250*v = 0. What is v?\nAnswer: -472145, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -837948, -5, -3, 2 in increasing order.\nAnswer: -837948, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -68 - -72. Let l(g) = 2*g - 3. Let i be l(p). Suppose i*z + 225015 = d, -d + 2*z = -206037 - 18969. Round d to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) -3\/8 (c) 2\/23 (d) 2574\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 31244 - 2\nAnswer: 31242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 + -0.1. Let x be (-1)\/(-2) - 33\/6. Let g be x\/15 + 10\/18. Which is the nearest to y? (a) g (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000133813 rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 q when four letters picked without replacement from qsqcpqjqcqjj?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8313, -8422, -8533, -8646, -8761, -8878, -8997?\nAnswer: -9118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -331988, -335809, -339630, -343451?\nAnswer: -347272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14373?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -31\/188 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 728348297?\nAnswer: 728348297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 808 a factor of 1233816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -7*d + 2. Let a be (-4)\/(4 + 1\/((-6)\/21)). Let q be (a\/d)\/((-2)\/(-8)*-2). Calculate the highest common factor of 16 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/38 (b) 1 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 51440.06 nanometers?\nAnswer: 51.44006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 87*c**2 - 169*c - 297. Give f(-89).\nAnswer: -1098","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = n + 5*r + 25, 0 = 5*r + 5. Let d be (-1 - -4)\/(n - 22\/(-4)). Suppose -2 = -d*q, -q = -4*b + q + 1439998. Round b to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 10*j + 5. Let f be r(8). Suppose f = 8*c - 5*c. Solve -3*x = -c - 8 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y + 8. List the prime factors of s(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1921 - 1848. What is the greatest common divisor of o and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + 8)*21\/(-2). Let x be (180\/r)\/((-4)\/14). Solve 6 = -5*g + g - 3*y, -3*y + x = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 757 is divided by 102?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 167858456?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -60 + 62. Suppose -2*p - 26 = w*x, 35 + 1 = -3*p - 2*x. Let s(m) = -m**2 - 10*m - 3. Determine s(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = b - 2*b. Suppose -2*a = 2*a + b. Let h be (-54)\/a - (2 - 3). Calculate the greatest common divisor of h and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 2*f - 92*d + 96*d, -f + d - 2 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.7116 + 104585\nAnswer: 104585.7116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 5523.45 days?\nAnswer: 477226080000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1302 + -860. What is the highest common divisor of 34 and k?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2881 and 129.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.096 + 0.096. What is the nearest to 1\/4 in v, -0.5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of t**4\/12 - 3*t**3 + 15*t**2 + 5. Give i(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47958?\nAnswer: 2, 3, 7993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 236 (base 16) to base 10\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.06, 0.3, -2\/13, -6, -3\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of j**6\/120 + 3*j**5\/20 + 3*j**4\/8 - 5*j**3\/6 - 38*j**2 + 3*j + 3. Determine s(-7).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -289373 - 2.8437.\nAnswer: -289375.8437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 18*n - 2. Let v(z) = -15*z + 3. Let k(x) = -7*v(x) - 6*w(x). Suppose -4 = -5*i - 24. Let s be k(i). Solve 2 = -0*c - s*c - b, 4*c + 4 = -2*b for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*c + 6. Suppose -2*x = -0*x. Suppose 4*s + x*s + c*z = 12, 5*s - 1 = 2*z. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 12:56 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 5:08 PM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 12. Let m be 15\/195 + (-75)\/(-39) + 2. Solve -m*t = -c*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29542 to the power of 1\/2, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z**3 - 5*z**2 + 8. Let b(t) = t**3 + t - 1. Let k(m) = -4*b(m) - l(m). Let a be k(4). What is the units digit of 1\/3 - a\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8 and -106145.\nAnswer: -106137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-5 + (-4976)\/(-995)). Suppose -30*y + s = -25*y. Does 56 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -22*p + 81. Solve l + 4 = -p*h, -3*l - 2 - 2 = 5*h for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 22 - 33 = 0. Let d = 137 + -131. Let u(o) = -7*o**3 - 5*o**2 + 6*o. Let h(i) = -13*i**3 - 9*i**2 + 11*i. What is d*h(b) + p*u(b)?\nAnswer: -b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 14*l + 11*l + 8 = 0, -4*x - 5*l - 16 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -11*u**2 + 393*u + 11094. Determine f(54).\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(5 + -2*(1 + sqrt(80)) + 6*sqrt(80)*-2*-2))**2.\nAnswer: 4752*sqrt(5) + 348561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 18\/5 of a millennium?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of z**7\/42 - z**5\/10 + z**4\/24 - z**3\/6 - 28*z**2. Find the second derivative of j(u) wrt u.\nAnswer: 60*u**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 287826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of a**5\/120 - a**4\/24 - 13*a**3\/2 + 20*a**2. Let z(j) be the first derivative of s(j). Determine z(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 + 16616*r - 83130.\nAnswer: 2*(r - 5)*(r + 8313)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 126 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, r: 1, e: 1, o: 1, a: 1}. What is prob of sequence or?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/(-12)*-1)\/(2\/699). Let t = x + -18. What are the prime factors of t?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19746a0 (base 15) to base 3\nAnswer: -1021222200200120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 102\/36 - 1\/(-6). Suppose v*s = -s + 20. Suppose 2*p + 27 = 6*p - 3*c, s*p + 2*c - 5 = 0. Which is greater: p or 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8 - (-6 + (-63)\/18))*20\/6. Solve -3*j + 15 - 6 = 3*p, 3 = p - c*j for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 40 = -168. Suppose 4*g - t = 40. Suppose -b = q + 2*q - 9, 2*q - 5*b - g = 0. Put -3, q, -5 in decreasing order.\nAnswer: q, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180)*3 - sqrt(20)\/(sqrt(4)*4).\nAnswer: 71*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((-8 - 6) + 7) - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 117 and 754.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1228.7, 0, -19, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 6666.\nAnswer: 13332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(1\/3))\/(g**3\/g)*(g**(-4)\/g)\/(((g*(g*g\/(g\/g**(3\/4)))\/g)\/g)\/g))\/(((g\/(g\/g**0))\/g)**41\/((g*g**(1\/3))\/g)**(-6)) assuming g is positive.\nAnswer: g**(395\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 59 (c) 5\/8 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.3, -3\/7, 17?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = -6*a - 99. Solve 0 = -a*i - 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3322055 is divided by 5207?\nAnswer: 5196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 267\/44 - 1863\/220. Put q, -0.08, 0.01 in descending order.\nAnswer: 0.01, -0.08, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 350 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + (3\/(-6) - -4). Which is the nearest to -2\/3? (a) u (b) 2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37879 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -132 (base 4) to base 5\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 6\/47, -1\/3, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -84\/25, 1?\nAnswer: -84\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 69 + a + 10*a - 71 + 2*a**2 as o*a + g + w*a**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b**4 + 2*b**4 - 2*b**4)*(-2 - 1 + 2) - 227*b**2 - 7*b**4 - b + 227*b**2 to m*b**2 + g*b + s + u*b**4 + v*b**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 353 a factor of 287793000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-6))\/((-17)\/102)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 417, -149, -715, -1281?\nAnswer: -1847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 327, 5, -15 in ascending order.\nAnswer: -15, 5, 327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 180 = 11*y, -y + 4 = -5*m + 16 - 2 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + 3 - (29 - (-11 - -27)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 836288.5cm in nanometers?\nAnswer: 8362885000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -462521 - -322?\nAnswer: -462166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 5. Suppose -24 = -m*v - 5*f, -2*f - 5 - 13 = -3*v. Let d(n) = v*n + 2*n**2 + 8*n + 3*n - 14*n - 1. What is d(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 74 + -75. Does 24 divide (-2373)\/(-9) - -3*l\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 7*k - 15 = -4*k, 5*q = 2*k + 22. Put -3, -98, q in decreasing order.\nAnswer: q, -3, -98","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 10*r**2 - 14*r + 688. Let h(f) = 7*f - 5. Let k be (1\/2)\/((-1)\/(-22)). Calculate k*h(v) - 4*y(v).\nAnswer: -3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d - 12*d**2 - 2*d**4 - 1 - 12*d**3 + 7*d**3 + 8*d**2 - 10*d**3 as g*d**4 + z*d**3 + c*d + l + m*d**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 518 = 91*k - 123 - 178 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z - 1. Let g be ((-1 + 31)\/(-3))\/(3 - 5). Calculate f(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(-1))\/a)**(-1)*a**4*a*a**(-4)\/a assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 49256367841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = k + 3. Let n(t) be the third derivative of -t**6\/60 + t**5\/60 - t**4\/24 - t**3\/6 - 62*t**2. Determine n(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59.102 - 0.102. Let t = -59.00000167 + x. Round t to seven decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.224 + 0.124. Let s = 558\/7 + -80. Which is the smallest value? (a) s (b) 4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 5*v - 35, 4*u - 43 = -0*u + v. Factor 172 + u*l + 192 - 379 + 10*l**3 + 35*l**2.\nAnswer: 5*(l + 1)*(l + 3)*(2*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d + 12*d + 8*d. Let j(q) = 2*q. Give j(h(s)).\nAnswer: 36*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 101\/((23\/(-414))\/((-2)\/18))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5256, -500, 6 in increasing order.\nAnswer: -5256, -500, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -17 + 8 + 3 + -8 + 2 - -25.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Factor 9*x**2 + 78*x\/5 + 21\/5.\nAnswer: 3*(3*x + 1)*(5*x + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k + 12*k + 4*k + 3*k**2 - 6*k - 2*k**2.\nAnswer: k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of t**4\/12 + 13*t**3\/6 - 2*t**2. Let r be o(-9). Let s = -1 - r. Solve -z = -s*z - 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) 2 (c) -0.1 (d) -6.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1323289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 5*f + 2*j, -209*j + 206*j - 6 = 5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of 7*p**4\/4 - 2*p**2 + 2*p + 33. Let k(d) = d. Calculate k(f(i)).\nAnswer: 21*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7800479 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 140186, 560775, 1261770, 2243171, 3504978, 5047191?\n\"Answer: 140203*h**2 - 20*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.024 + 0.012. Let x = o - 0.036. Let b = -6.9 - -7. Put b, x, 2\/3 in descending order.\nAnswer: 2\/3, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2092.\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1563507 and 0.06.\nAnswer: -93810.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a*x + 15434*a + x**4 + 6*x**2 + 196*x wrt x?\nAnswer: a + 4*x**3 + 12*x + 196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 131289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -6.491907?\nAnswer: -6.491907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 142002*n + 10. Let j be s(-5). What is j rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90657 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*m, 0 = -3*q - 4*m + 342 - 364 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.195266963 rounded to four dps?\nAnswer: -0.1953","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 8:01 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 113*p**6 - 2*p**4 - p**2 + 67 wrt p?\nAnswer: 13560*p**3 - 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 + 16. Let h be (12\/b)\/(2\/(-5)). What is the second derivative of h*v**3 + 0*v + v - v + v wrt v?\nAnswer: 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s + 4. Let q(r) = -87*r + 353. Let a be q(4). Give t(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (12\/36)\/((-9)\/(2106\/(-24)))\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -218412*l + l**2 + 82 + 218412*l + 2*l**2.\nAnswer: 3*l**2 + 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, k: 7, p: 5, h: 5}. What is prob of sequence hk?\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(8\/8)*(-1)\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + 2\/(-1) + 48. Find the common denominator of -9 and (18\/20)\/(4\/c).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*j - 2*j - 10*j + 42*j)*(-3*j + 2*j - j).\nAnswer: -134*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.1436*-12.\nAnswer: -13.7232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.03, -515, -4 in increasing order.\nAnswer: -515, -4, 1.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 280 and 50?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -48*m - 336. Let u(d) = -7*d - 48. Determine 4*s(b) - 27*u(b).\nAnswer: -3*b - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 504 = -2*l, -2*l + 3*q = 2*l - 1041. Suppose -5*k = -2*k - l. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 4*g - 337. Let c be s(0). Which is smaller: c or -336?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - (139 + -105 + (-9 - 1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.025 and -34587771325.\nAnswer: -34587771324.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -933, -2031, -3181, -4383, -5637, -6943, -8301?\nAnswer: -9711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 62137 times -0.04\nAnswer: -2485.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2896650 and 1050.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*p + 5602 = p, f - 5578 = 3*p. What is f rounded to the nearest one hundred?\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/28 + 2)*42\/60\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 9:02 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -101075.9 - -100532.9147. Let j = a + 543. Round j to 3 dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*g - 10*i - 8, 2*g = 5*i + 12. Let o be (2 - g) + (-2 - -4). Suppose j + 4*f + 7 + 1 = 0, -16 = -j + 4*f. Solve j*m - m = -o for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 108.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 81*p - 10437. What is z(129)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (119 + -406)*(-12)\/14 and 5?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -51.1 and 0.086239.\nAnswer: -51.013761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**3 + 319*k**2 - 395*k**2 - 8*k**3 + 36*k**2 + 40*k**2.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 429186.\nAnswer: 2, 3, 233, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 6 = -0*l - l, -5*x + 8 = l. Suppose b + 3 - x = -3*y, 0 = 4*y - b - 8. Solve y - 6 = 5*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 12 - 11 + 10 + 581*g.\nAnswer: 581*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 smaller than 2\/97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 791\/(-1576) + (-43)\/(-86). Which is greater: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*q + 12 = 0. Suppose -11 = 3*s + 55. Let j be ((-8)\/s)\/((-16)\/(-88)). Solve i + 10 = 5*p + q*i, 0 = -p + 4*i + j for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/3601 and -21\/41827?\nAnswer: 543751","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 781737712 to the power of 1\/3, to the nearest integer?\nAnswer: 921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**3 + 51*g**2 + 27*g - 30. Let m be i(26). Let w = 1294 + -1289. What is the nearest to -2 in 3, m, w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.41 - -0.09. Let u be 1 + (12\/72)\/(1\/28). Let s = u + -35\/6. Put s, r, -5 in increasing order.\nAnswer: -5, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-4)*190\/(-133)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -21\/5*l**2 - 1\/20*l**4 + 0 - 140*l + 9\/10*l**3. Factor p(x).\nAnswer: -3*(x - 7)*(x - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 7*q**2 - 67*q + 11. Let h(w) = -9*w**3 - 13*w**2 - 4. Let s be h(-2). What are the prime factors of m(s)?\nAnswer: 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 12284379?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 13*f + 10. Let s be u(5). Suppose -8*v = -190 - s. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239752 less than or equal to 239752?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 5*h - 8 = 0. Find the second derivative of 3*a - 29*a**h + 15*a**4 + 16*a**4 wrt a.\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 264 + -178. Let c = 116 - l. Calculate the greatest common divisor of c and 360.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-52)\/(-91))\/(-12*12\/(-1512))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-8 - -9 - 2))\/(1 - 0). Solve 2*m = v*p - 4, -8*p + 10*p - 2 = -3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200*a - 102*a - 100*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.71220524 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z + 186 - 186.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qvkkqtet. Give prob of picking 1 v, 1 e, and 1 k.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 500 divide 1763085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*x + 1152 = -17*x. Let n = -101 + x. Let l be 1*n + 49\/7. Which is smaller: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.06 + -0.06. Let u = -2 - k. Let h = 7 + u. Which is the third smallest value? (a) -5 (b) 0.5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 93995\/26 - 3614. What is the common denominator of x and 65\/32?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 813*0.0572.\nAnswer: 46.5036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c - 2*c**2 + c + 3*c**2 + (-2*c + 6*c + 2*c)*(2*c - 2*c + 2*c).\nAnswer: 13*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (-281)\/(-2) - 12\/8. Let d = a + 135. Let m(x) = -4*x + 5*x + x + 4. Give m(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**8\/36960 - o**7\/1980 + o**6\/660 + 121*o**4\/24 - 2*o**2 - 12*o. Let l(z) be the second derivative of r(z). Factor l(h).\nAnswer: 2*h*(h - 6)*(h - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/5))**(-43)\/(((((x*(x*(x\/((x**2\/x)\/x))\/x)\/x)\/x*x)\/x)\/x)\/(x*(x*x*x\/(x*x\/(x*x*x**2\/x)))\/x*x))*(x**(-11\/2)\/x*x**9*x)**(1\/43) assuming x is positive.\nAnswer: x**(-4781\/430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 10 = a, -5*u - 3*a + 34 = -a. Suppose -3*b = -u*b + 297. What is the highest common factor of b and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -8*j**2 + 49*j + 270. Calculate x(-5).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -84 - 198213958.3238.\nAnswer: -198214042.3238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 139\/39 or -1\/5?\nAnswer: 139\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -14. Let g = s + -4. Let j be (2\/(-4) + 0)*-10. Sort 0, g, j in decreasing order.\nAnswer: j, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3.4 and -11.548741704.\nAnswer: -14.948741704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wieeiwiwwedwh. What is prob of picking 1 d and 2 e?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 7:22 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.032 - -22.108. Let z = -65.5 - b. Let v = -89 - z. What is v rounded to 1 decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5)*y*y**3)**(-1\/25)*(y**0)**(3\/7)\/(y**(4\/5)\/(y*y*y**(1\/4))) assuming y is positive.\nAnswer: y**(149\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -280*q + 282*q. Solve -3*w - 11 + 11 = q for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 - 95655*u + 286974.\nAnswer: -(u - 3)*(u + 95658)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.172492 rounded to three decimal places?\nAnswer: -0.172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 t when two letters picked without replacement from itiiitiitiiitt?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -4*c**2 + 60*c - 56 = 0.\nAnswer: 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjvigmog. What is prob of picking 1 i and 1 j?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (p + 2 - 3 - 4*p)*(6*p - 3 + 3) as m*p**2 + n + b*p and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 8, 3, 3\/2, -54\/11 in increasing order.\nAnswer: -54\/11, 3\/2, 2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -3*a + a - 5*r, -3*a + 15 = r for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -129? (a) -3 (b) -5 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/862 and -109\/10.\nAnswer: 4310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 508\/5391 or 1\/5?\nAnswer: 508\/5391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/11 (b) 3 (c) 0.6 (d) -64 (e) -5 (f) -0.1 (g) -1183\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3363*p**2 + 3367*p - 4 = 0. Calculate p.\nAnswer: 4\/3363, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + l = -p - 33, -l + 51 = 4*p. What is the greatest common divisor of p and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -4 - -7 - (0 - -6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20259810, -20259807, -20259812, -20259831, -20259870, -20259935, -20260032, -20260167?\nAnswer: -20260346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*n - 6*n - 232 - 720 = 0 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7551819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 835900.317 milliseconds in weeks?\nAnswer: 0.0013821103125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32632 + 78366. What is the thousands digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/6 + (-5)\/(-15). Let o be ((-3)\/(-4))\/(1\/(-4)). Let f = -2 - o. Is f <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in -0.4, 7, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3717032857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 334, 665, 998, 1333?\n\"Answer: g**2 + 328*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*l + 1184 = 28*l - 88*l for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.564404 meters to micrometers.\nAnswer: 564404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10.31639 and -0.2.\nAnswer: -2.063278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, o: 2, l: 4, u: 3, g: 6}. What is prob of sequence gu?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.3 (b) -2.5 (c) -0.46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1000628.\nAnswer: 2, 37, 6761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 19*d**2 + 45*d + 36. Determine w(-21).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 594494.\nAnswer: 2, 297247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 + -1)*4\/3. Let a be (-3)\/(-2)*q\/3. Suppose a*l + l - 15 = 0. Solve -5*y + 0*m - 5*m + l = 0, -4*y - m = -10 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.608962953 rounded to five dps?\nAnswer: -0.60896","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g**2 - 16*g + 1664. What is d(21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -4. Let p = -33\/17 + -1311\/34. Calculate the common denominator of p and (3 + (-77)\/o)\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**3 - 39*k**2 - 200*k + 269. Give h(-8).\nAnswer: 397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 6*x = 2859. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*m + 183 = -m, -3*m - 309 = -5*c. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -235 (base 15) to base 11\nAnswer: -415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 2*d + 37. What is k(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -667 + 692. Let k(q) = -9 - 10 - 7 + p. Let n(y) = 2*y**3 + 2*y**2 + 2*y + 2. Suppose 2 = f + 4. Determine f*k(r) - n(r).\nAnswer: -2*r**3 - 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4 = g + 5, -4*g - 18 = -2*d. Let c be (135\/(-20))\/((-201)\/192 + d). Let r be (-18)\/(2 - 2 - 1). What is the highest common factor of c and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 12*s**2 + 14*s + 23. Suppose 333 - 307 = 2*o. What is the remainder when 60 is divided by t(o)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - -30868798.064864?\nAnswer: 30868797.964864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -71 - -98. Suppose g*r - 68 = 25*r. What is the remainder when 63 is divided by r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by (-8)\/(-36)*3 - (-106)\/3.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-145220)\/(-2650) + 99\/(-5)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p + 15. Let n be w(-7). Suppose 4*x = 20, 2*l + 4*x - 20 = n. Suppose -2*m + 3 = u, -l*u - 2 = m - 0*u. Let t(c) = c. Calculate t(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2885 less than or equal to -2886?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**5\/3 - 6*i**4 - 26*i**3\/3 + 274*i**2\/3 + 224*i + 392\/3 = 0.\nAnswer: -2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34\/(-238))\/(4\/140).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20313231030 - 5?\nAnswer: 20313231021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 7*l - 2*l)*(4 - 4 - 2) + 4*l - l - l + (-3 - 2 + 7)*(2 + 3*l - 2).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p - 65. Let d(l) = 4*l + 194. Let j(y) = -6*d(y) - 17*o(y). Let s be j(-9). Solve -s*t = 3 + 5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04624 + 0.011377625\nAnswer: 0.057617625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/8*(-3)\/(-14) and (-41)\/(-22) - (7 + -4).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2411103142 + 10?\nAnswer: -2411103132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 282.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = q + 5. Solve -q*w = w - 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 + 2 + -15 + 9 + -36 + 17\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40553 is divided by 20271?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -27*o*q + 11833*o - 4*q*r - 90*q + 42*r wrt q?\nAnswer: -27*o - 4*r - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -176658, -353300, -529942, -706584, -883226?\nAnswer: -1059868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**3 + 16*m**2 + 14*m - 8. Let f(o) = o**3 + 13*o**2 + 12*o - 7. Let l(i) = -3*f(i) + 2*t(i). Give l(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36805 is divided by 199.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 330319735 and 28775.\nAnswer: 5755","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1473?\nAnswer: 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.5 - -5.5. Let n = -17\/30 - -9\/10. Let y = 23 + -23.1. What is the closest to y in n, r, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 321 and 1177?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*9\/15*-5. Suppose 0 = 3*w + 3*j, j + 1 = -b. Suppose -4*a + w + 4 = 0. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (34\/(-4) + 1)*4. Let d be (-2)\/(j\/99)*5. Suppose -4*h + 88 = -5*s - 0*s, 2*s = 0. What is the greatest common factor of d and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 155517592 divided by 4\nAnswer: 38879398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hqqqhqqqqqqqqqhq. Give prob of sequence hhh.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31532.\nAnswer: 2, 7883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 4*l. Let z be (l - -3)*44\/6. Does 13 divide 466\/22 + (-4)\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of m**6\/40 - m**5\/30 - m**4\/24 + 2*m**2. List the prime factors of f(2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 12:44 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 55*h**3\/2 - 572405*h**2\/2 + 104070*h.\nAnswer: 5*h*(h - 10407)*(11*h - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 75, 167, 291, 441?\nAnswer: 611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-260*(-30)\/4875)\/(-92).\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.23 + 2.36. Let i = -2.7 - f. Which is the second biggest value? (a) i (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 + 48 = i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3108209?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2002 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 777.7265l in millilitres?\nAnswer: 777726.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -88.3891937 * 0.4.\nAnswer: -35.35567748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (90\/4)\/3*7\/(-70).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 98930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 4752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -109 + 112. Let z(h) be the third derivative of 0*h + 0 + 1\/6*h**w + 0*h**4 + 2*h**2 + 1\/30*h**5. Differentiate z(t) with respect to t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5977169243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*y + 190 = -60*y + 68*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 3189*s**2 - 3183*s**2 + 6375*s**2 - 15.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n - 2248 = -2206 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 11*g - 31. Let v be a(5). Let z = v + -19. Let n be (0 - 1) + 0 + 1. Solve -r = -z - n for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 9713 = 4*d + 9710, 2*n = -3*d - 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -22 + 15 + (7 - -17) + -1 + -2\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 16*s**2 - 248*s + 4. Let t(p) = 15*p**2 - 248*p + 3. Calculate -3*c(y) + 4*t(y).\nAnswer: 12*y**2 - 248*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24871*j + 24882*j - 209 = 0 for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 - 30*l**2 - 45*l + 70.\nAnswer: 5*(l - 7)*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22747\/472 + 385\/8. Is -1 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -10*k - 2. Let m be 387\/78 + ((-237)\/(-78) - 3). Let x(j) = 11*j + 2. Calculate m*x(b) + 6*t(b).\nAnswer: -5*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 + -22. Let z(y) = y**2 + y - 12. Calculate the remainder when 30 is divided by z(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.011329786 to five dps.\nAnswer: 0.01133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1569047 + 0.157. What is i rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265 - 122 = 55*h - 2 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 390929227?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-6)\/2)\/(-1) + -36 + 408 and 200.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 11 + 25. Let u = -11 - m. What is u rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8100280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w + 6. Let f be t(-8). Calculate the highest common divisor of 198 and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 10*g**2 + 3*g - 11. Let p be w(10). Suppose 5*v - 7 = -2*t, t + p = 4*v + 3. Solve -5*k - 2*u - 14 = 0, -k - 2*u + 5 = v for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/2 + 2 - (0 + 2). Solve z = 2*l - 4, -o - 2 = z - l for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -461, -878, -1295, -1712, -2129?\n\"Answer: -417*c - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6476 is divided by 3159.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 1016*h - 9142. Determine t(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 2*j**2 + 3 + 80*j - 75*j in the form u*j + x*j**2 + l and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + g - 21. Let o be u(0). Let c be 153\/o + 4\/14. Let x = -3 - c. Is 2 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3671956.\nAnswer: 2, 61, 101, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 334 + -343 - (4 + 1 + (66 - -3))?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - -15. Suppose 0 = 5*r - r - o. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(240))\/sqrt(4) - sqrt(60))\/(sqrt(12) - (sqrt(144) + sqrt(144) + 1*sqrt(144))\/sqrt(12)))**2*-6.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(((k\/k**(-6)*k)\/k)\/k)*k*k)\/k)\/(k*k**(3\/2)*k))**(5\/7))**(1\/5) assuming k is positive.\nAnswer: k**(-15\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 3*p - 9 - 14, 17 = 5*m - 3*p. Suppose -k - 1 = -m. Let t = 1115 - 1110. Solve -3*z + o - 6 = 0, -t*z + 2*o - k = 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -125, -146, -167, -188?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**4 - x. Let b(q) = 17*q**4 - 4*q**2 - 2*q. Let o(t) = b(t) - 2*j(t). What is the third derivative of o(s) wrt s?\nAnswer: 456*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 5*p - 3. Let o be q(3). Suppose u = 6 - o. Suppose 2*y + 0*a = 5*a - 10, -2*a = -u*y + 7. Calculate the lowest common multiple of 11 and y.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4603 or -4334?\nAnswer: -4334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 146803995.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 123674510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 3*i - 2. Let n be w(5). Let c be 7\/63 + (-3759112)\/(-72). Suppose -89390 = -n*z + c. What is z rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 1) + (-8)\/60*-21.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/23)*l)\/((l*l*l*l**(-1\/2))\/l)*(l\/l**(-7\/2)*l)\/l*l*l*l**17 assuming l is positive.\nAnswer: l**(526\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y + 4. Let h be r(6). Let b be ((-9)\/(-6))\/(6\/h). What is the tens digit of (4\/6)\/(b\/(-33))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(sqrt(432) + (1*sqrt(432) - sqrt(432)) + sqrt(432)) + sqrt(21)\/(sqrt(3) + -3*sqrt(3)*-5 + sqrt(3)))**2.\nAnswer: 11767\/166464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 44, 5, -4\/3, 3\/2, 7, 0.4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -387, 5.\nAnswer: -387, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54115 and 744595?\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 265313931*x**3 + 110783*x - 13 wrt x?\nAnswer: 1591883586*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k + 34. Let a = -121 + 131. Calculate the remainder when 51 is divided by w(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1168654039?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25992580589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 297\/4 - 255\/4. Let x(w) be the first derivative of -15 + 14\/3*w**3 - u*w**2 + 0*w. Find the second derivative of x(r) wrt r.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 30*d - 2 + 16*d + 13*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 38*u + 1. Let h be t(1). Suppose -n - h = -4*n. Does 5 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 15 = 3*j - 0, j - 8 = 4*l. Suppose 2*s - 4*m = 7*s - 181, -j*s - 2*m = -140. Is s a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7528, 7397, 7270, 7147, 7028, 6913, 6802?\n\"Answer: 2*h**2 - 137*h + 7663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2609 - -2607. Let x = 0 + -5. Which is the third biggest value? (a) d (b) 1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g - 8. Let p be t(-3). Does p = 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.3 + 0.3. Let p = -2.392 - -1.9. Let k = 0.008 - p. What is the third biggest value in 1\/4, t, k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30009 divided by -3\nAnswer: 10003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -t**4\/2 + 23*t**3\/6 + 21*t. What is the second derivative of o(x) wrt x?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100110001001110001 (base 2) in base 6?\nAnswer: 3203253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d - 13*d - 787 = 0. Let t = d - 368. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 538482?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07 and -401?\nAnswer: -28.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12292983, 24585965, 36878947?\n\"Answer: 12292982*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/140657 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -697 - -698. Let p = -2\/2685 + -47411\/32220. Let c = 5\/4 + p. What is the nearest to y in c, 6, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*c + 3016, 37*b - 38*b = -c - 3025. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 14*o**2 + 53*o + 25. Give i(-10).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -12. Let t = 2 - 5. Let v = q - t. Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 27 - 16535?\nAnswer: -1650a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -6*(-18)\/(-24).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 2*w. Suppose 4*f + 56 = 2*g - 16, -5*g + 4*f + 150 = w. Calculate the remainder when 25 is divided by (-119)\/(-13) + (-4)\/g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1811 - -55?\nAnswer: 1866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 - -2. Suppose 2*l - 65 = u. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + f - 24. Suppose 3*m - 21 = 6*m. Let b be l(m). Let y = 233 - 161. What is the highest common factor of b and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1706153751 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 12:10 AM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3984032? (a) -3 (b) 0.6 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 10. Let p(l) = -l**2 - 6*l. Let s be p(i). Let t(b) = b**2 - 3*b - 6. Let x be t(s). Solve 2 = -3*g - 3*a + 17, g + 20 = x*a for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 26 - 31. Suppose m*u - 682 = 203. Does 25 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xlvv when four letters picked without replacement from evlllllvbelxlvllv?\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*n - 18. Let j be n\/8 - (1 - 1). What is the nearest to j in 1, -5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 56fe - -e2b?\nAnswer: 6529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001011101 - -11001010000111010?\nAnswer: 11001011010010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/3)\/4*(-145)\/29?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of 0 - 109\/6*t**3 - 59*t**2 + 0*t - 23\/8*t**4. What is the first derivative of m(d) wrt d?\nAnswer: -69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41129.00043 - -41068. Let a = 61 + k. Round a to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-1 - -1) + -1 - 3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 978 + -970. Is v\/(-12) - 50122\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-6 + -10) - 20) + 45 - 9.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**2\/7 + 234*k\/7 - 4563\/7 = 0. Calculate k.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*v - 34*v = -2402829. List the prime factors of v.\nAnswer: 13, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 71154 from -0.106934.\nAnswer: -71154.106934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -4790.9333 to the nearest ten.\nAnswer: -4790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/18 and -1 - 0 - (-1521)\/486?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**2 - 7*n**2 + n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28312890673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 6)*(3 - 4 - 2)*(4*r - 4*r - 4*r).\nAnswer: 24*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of b**5\/20 - b**4\/24 + 4*b**2. What is the remainder when (-2)\/3 - 60\/(-9) is divided by s(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b6a3 - 0?\nAnswer: b6a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*l**4\/11 - 1268*l**3\/11 + 70256*l**2\/11 - 341548*l\/11 + 106090\/11 = 0. Calculate l.\nAnswer: 1\/3, 5, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of 0 + 0*p + 0*p**4 - 1\/5*p**6 - 5*p**2 - 8\/3*p**3 + 0*p**5. What is the first derivative of i(q) wrt q?\nAnswer: -72*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 401 and 15?\nAnswer: 6015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/3 - (-4)\/6. Suppose 8*r = y*r + 20. Let q be 4\/(-6) + 16\/6. Solve 2*j = -r - q for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (3 + sqrt(448))**2 - sqrt(7))*-5 - 1*4*sqrt(112).\nAnswer: 224*sqrt(7) + 2285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -167.9999846 + 168. Round o to 6 dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 478936247, 957872493, 1436808739?\n\"Answer: 478936246*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 1:50 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 6*v**2 + 5*v - 3. Let j be p(-5). Suppose 2*q + 2 = -5*m - 0, 5*q + 2*m = 16. Which is the biggest value? (a) j (b) q (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 6:07 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 less than -2.5788?\nAnswer: 74.4212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/58? (a) -3 (b) 1 (c) 1\/4 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10976725 + -32205710507\/2934. Let a = d + 1\/326. What is the closest to 2\/3 in a, 5, -9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five fourteenths of a week?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 41 = 7*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 73*l + 586. Give o(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1135 + 2196. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 7:00 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 4*f - 6829, 5*f - 1551 = -s - 181. List the prime factors of s.\nAnswer: 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, n: 8, j: 1, g: 2, h: 1, o: 1}. Give prob of picking 1 d and 3 n.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 27 (b) 1\/2 (c) 2 (d) 2.49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1040 = 4*t - 4*l, -4*t - 282 = 3*l + 737. Let b = t + 260. Solve -b*h + 0 = -4*w + 4, -12 = -4*h + w for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 f when four letters picked without replacement from {m: 5, f: 11}.\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -93, 4, -17, -2 in decreasing order.\nAnswer: 11, 4, -2, -17, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -4, -3, 1043, -2, -9, 3 in descending order.\nAnswer: 1043, 3, -2, -3, -4, -9, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 - 99 - (-3 + 13 - -31)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r - 6. Let m be b(5). Let w(u) be the first derivative of -2*u**2 + 5*u + 2. Let z(d) = -4*d + 4. Determine m*w(s) - 5*z(s).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 668 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*r - 65 = -99*r. Calculate the greatest common factor of 15 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 595110 and 5810?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - (-4)\/(-2)) + 4. Let p be 65 - 2 - q\/(-2). Suppose -88 = -4*b + 4*r + 12, b = -2*r + 28. What is the greatest common factor of p and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x. Suppose 3*y - 15 = -6. Let m = y + -4. Give v(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-2)*70\/(-28)*(-4)\/(-5)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from susfdssfumffffsss. Give prob of sequence sf.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/25)\/(4\/(20\/3)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 1394, -3, 18 in ascending order.\nAnswer: -3, -1, 1, 18, 1394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 9*d**2 - d. Let h be i(9). Let z = -69 + h. Let o = z + 149. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -17*m**5\/20 - 11*m**4\/12 - 7*m**3\/3 + 19*m + 1. Let z(t) = -6*t**3 - 4*t**2 - 5*t. Determine -4*n(q) + 11*z(q).\nAnswer: 2*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 444418, 444421, 444424, 444427, 444430?\n\"Answer: 3*c + 444415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 144 + -148. Put -5, -22, n in ascending order.\nAnswer: -22, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 5*x - 14. Suppose 4*k - 339 - 717 = 0. Suppose 5*d - 299 = -k. Calculate the remainder when v(6) is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 5*n**2 - 2*n. Let p(x) = -x - 9. Let m be p(-14). Calculate c(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13052 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14742 - -2?\nAnswer: 14744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100010000101010 - -11?\nAnswer: -10100010000100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 586 is divided by 256?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 0)*(-3 - -5). Let c(y) = -y**3 - 4*y**2 - 4*y - 9. Let h be c(w). Let d = -5 + h. Solve d*m = -2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 2, -7, 63242?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*u + 220 = 3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-4*(sqrt(88) + 1*sqrt(88) + sqrt(88))*-1)\/(6*(-6*sqrt(648)*-2 - sqrt(648))).\nAnswer: 8*sqrt(11)\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -7. Suppose 4*t + 161 = 41. What is the smallest common multiple of r and 48\/t*5\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/4 + 30731657*y\/2 + 944434741965649\/4.\nAnswer: (y + 30731657)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, f: 5, s: 2}. What is prob of sequence pss?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2492 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 19775\/280 - (-3)\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/13)\/u*u*(u*u**(-2\/5)*u)\/u)\/(u*u*u\/u**(-8)*u**(-1\/7)) assuming u is positive.\nAnswer: u**(-4737\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, -14\/8955, -0.2, 1\/2, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 6*k**2 - 2*k - 4. Let j be b(4). Is 1954*22\/j + 2\/(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -281 + 4*x + 372 - 176 - 2*x to the form g*x + u and give u.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3953 is divided by 515?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and -2324.944.\nAnswer: -2324.544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 3:40 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = h - 4*h + w, 0 = 5*h + 3*w + 121. Let c be 4\/6 - 0 - 345\/(-9). Let g = h + c. What is the greatest common divisor of 13 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -241603\/13 and -26.2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2736) - (sqrt(2736)*-2*-5 + sqrt(2736))) + sqrt(2736))*-4 + -2 + 1 + sqrt(2736) + 4)**2.\nAnswer: 2664*sqrt(19) + 3745593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.02042 or 6\/17?\nAnswer: 0.02042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 6:04 PM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 261*y**3 + 267*y**3 - 530*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 q, and 1 h when three letters picked without replacement from {t: 13, q: 2, y: 2, b: 2, h: 1}.\nAnswer: 13\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 123\nAnswer: -492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2677895?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-44050)\/15*-6*(-2)\/(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7563371 (base 9) in base 4?\nAnswer: -33132201220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0)**28*(y**(-6\/13)\/y)**24 assuming y is positive.\nAnswer: y**(-456\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, m: 1, j: 7, t: 7}. Give prob of sequence tjm.\nAnswer: 49\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/2, -3\/19, 1263?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 1 = h - 24, h - 5*b = 52. Let w be (3\/(-6))\/(2\/2140). Let z = w + 942. Calculate the greatest common factor of h and z.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36 - 6)\/7 - -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -31 in -1\/6, -3, 54, 2, 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2868*m + 23. Let h(a) = 717*a - 6. Let n(k) = 2*c(k) + 9*h(k). Let q be 2\/1*(-2 + 4). Let l be n(q). Round l to the nearest one hundred.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1203943138.\nAnswer: 2, 601971569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1291564354 to the nearest integer?\nAnswer: 1089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggv when three letters picked without replacement from {y: 1, g: 2, u: 1, v: 8, n: 5}.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(12)\/sqrt(4))**2 - (sqrt(3) + -1)*2 - (-5 + sqrt(243) + 1*sqrt(243) + sqrt(3))) + (-1*(sqrt(75) - (1 + sqrt(75)))*2*-4)**2.\nAnswer: -21*sqrt(3) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**3*z**3 - 26*g**3*z + g**3 - 145*g**2*z**3 + 15*g**2*z**2 wrt z.\nAnswer: 6*g**3 - 870*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -3. Let q be (0 - n\/(-1))*-1. Suppose -l - 4*r = 5, -5*l + 17 = q*r - 4*r. Solve 2*u - 25 = -l*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 5:23 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**3 - 4*g**3 + 0*g**3 + (-2*g**2 + 2*g - 2*g)*(2*g - 2 + 2))*(-19*g + 43*g + 4*g).\nAnswer: -140*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -12. Let u(f) = -1 + 0 - f**2 - 3*f + 5. Let i be u(k). Solve 4*s + 5*n - 17 = i, -5*s = -5*n - 9 - 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*v = -35, 13*x - 18*x + 2*v + 63 = 0. Suppose 2*l = -x*l + 10166. What are the prime factors of l?\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08*103.\nAnswer: -8.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(5 + -9 - -5). Does 34 divide ((405\/(-10))\/v)\/(12\/272)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 9*n**2 + 11*n + 55. Let g be r(-10). Solve 5*v - 5*j = -g, 6*v + 41 = 2*v + 5*j for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320*f + 102 = -314*f. Solve -f*x + 18*x - 1 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 9. Let s(b) = 6 + 9*b + b**3 - n*b**2 - 2*b**3 - 15*b. Let z be s(-6). What is the highest common divisor of 42 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52813066 is divided by 632.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14037924 to the power of 1\/3, to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*r + n = 231*r - 1, 3*r - 4*n - 4 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*x + 22. Let b(l) = -24*l + 6. Let s be b(x). Calculate the highest common factor of s and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -470?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 20 = -0*l. Let k be (2\/4)\/(l\/(-56)). Let x = -3 - k. What is the remainder when 9 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 184 in 0.5, 1, 15, 4, 4\/7?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.5837*-4\nAnswer: 2.3348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**4\/12 - 5*n**3\/6 + n**2 + 25*n. What is q(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -134 + 137. Solve u - 2 - 2 = -5*n, -b*n + 5 = -2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.686655663 rounded to two dps?\nAnswer: 0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 628, 2, -5 in decreasing order.\nAnswer: 628, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 4*g**2 - 872*g + 3424 = 0.\nAnswer: 4, 214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -53\/119?\nAnswer: -53\/119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1047.\nAnswer: 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2781 is divided by 729.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.037 less than -0.9836186?\nAnswer: -1.0206186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34541 or -3.5?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-84)*-18*5*24\/210.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7461820418?\nAnswer: 2, 13, 67, 4283479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -764 + 1941. What is the remainder when g is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14\/63 - 2\/9. Suppose l = 2*g + 73, h = -2*l - 2*l + 5*g + 301. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 2*l + 30, l - 2*l = a. Let b be 5\/2*((-690)\/(-200) + -5). Which is greater: a or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4751, -18731, -42019, -74609, -116495, -167671, -228131?\n\"Answer: u**3 - 4660*u**2 - 7*u - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y*y*y*(y*y*(y**(6\/11)\/y)\/y)\/y*y)\/y))\/y**(4\/17))\/((y\/(y\/(y\/(y\/y**(1\/3)))))\/(y*y**(7\/8))) assuming y is positive.\nAnswer: y**(-1073\/4488)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6546155 + 17?\nAnswer: 6546173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 574030762 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/5571 - 33299\/707517. Let p = u + -176\/1651. Suppose 2 = r + r. Are p and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -5901, 36, -1, -3 in decreasing order.\nAnswer: 36, -1, -2, -3, -4, -5901","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u. Suppose 0 = -7*b + 4*b + 6. Suppose b*x - 9 = -5*z, -3*x + 4*x - 3*z + 1 = 0. Let s(k) = -k**2 - 2*k**2 - 4*k**2 + x*k**2. What is m(s(l))?\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 80 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 3) to base 5\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39*v - 318 + 84 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -392 - -975. List the prime factors of h.\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 16*p + 252. Calculate the lowest common multiple of 24 and k(-13).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64\/2592*(-144)\/(-64)\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -20 + 3 + -4 + 6 - (78 + (-175 - 2))\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/6799013 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n + 3. Let l(c) = -c - 1. Let a(r) = 4*l(r) + z(r). Give a(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (31 + -14 + -13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -500, -5\/2, 7 in ascending order.\nAnswer: -500, -5\/2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 10*i + 10. What is f(-10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(12)\/(3*sqrt(3)))\/(-1*sqrt(4)\/sqrt(2)) + -2.\nAnswer: -2 + 4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h + 10298 = 10433 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 6*c + 7. Let j be x(-5). Let z be 1*(-2 - j\/(-1)). Suppose -l + 15 = -0*l. What is the highest common factor of l and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.181, -15, 5, -2\/43?\nAnswer: -0.181","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23a958 (base 12) to base 15.\nAnswer: b662b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*l**2 + 0 + 0*l + l**5 + 1\/2*l**3 - 7\/4*l**4.\nAnswer: l**2*(l - 1)**2*(4*l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5*g + 6 = 0, 4*c + 5*g - 15 = -42. Let j be -5 + (-26)\/(-6) - 14\/c. Solve 0 = 4*p - 2 - 2, j*o + 5*p - 1 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iyyyyiy. Give prob of picking 3 y.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*h - 27*h - 1 = -2*l, 4*l - 37 = -5*h. Let j = 17 - 5. Solve 0 = d + h*d + j for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-4)*72\/180*1\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - -18. Which is the third biggest value? (a) -5\/4 (b) 3 (c) k (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-33) + 1672\/(-6776).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/10 - 12\/(-60). Sort -3, -1, y, -15 in descending order.\nAnswer: y, -1, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/45 + 22\/(-5). Let n be (1 + 44)\/((-6)\/h). Find the common denominator of -36\/11 and 0 - (-3 - (-273)\/n).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 607 + 376?\nAnswer: 1205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -m**5\/20 + 29*m**4\/12 + m**3\/3 - 65*m**2\/2 + 9372*m. What is h(29)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 106*u + 304 - 304 + (2 - 5 + 1)*(-2*u + 0*u + 6*u + (3 - 2 + 0)*(2 - 2 + u)).\nAnswer: 96*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 10*k - 1. Determine t(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 4:47 PM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 6*t - 10 = i, -4*t + 3*i = 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1014431\/2905 - 1\/581. Let u = t - 38607\/110. Let q = -2531 + 50639\/20. Calculate the common denominator of u and q.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 115 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3450635?\nAnswer: 5, 690127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 f, and 1 v when three letters picked without replacement from vnfvngpnpav?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*((-646)\/171)\/34.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-486)\/108 - 41\/(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 10:53 PM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 331*y + 1612. What is m(-5)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, -0.25, -4, -2\/11?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1392 - -246. Does 9 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 422937022?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-10\/11)\/z**(4\/17)*z**14*z*z**14 assuming z is positive.\nAnswer: z**(5209\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 8*l**2 - l + 16. Calculate y(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 425977.5 kilometers in nanometers?\nAnswer: 425977500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -306a024 (base 11) to base 4.\nAnswer: -110222032321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 569399.9ml in litres?\nAnswer: 569.3999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/2))**(2\/49) assuming v is positive.\nAnswer: v**(-1\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(7) + -1) - -3*sqrt(28))*6 + -1*sqrt(567) + (sqrt(7) - (sqrt(28)\/(sqrt(24)\/sqrt(6)))**2) + -1.\nAnswer: -44 + 64*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q - 66 = 3*q. Calculate the highest common factor of q and 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 12*p + 22 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -1563*p + 346992. Give l(222).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-21 + 23)*(-1 + 7). Which is the nearest to u? (a) -0.1 (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express n - 2 + 10 + 20 - 7 - 36*n**2 + 38*n**2 in the form i*n**2 + u + c*n and give u.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -6*n**2 - 31*n + 34. Let i be x(-6). Sort 1, -120, i.\nAnswer: -120, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9331 = -17*n - 14*n. Let h = n - 299. Solve 0 = -5*w + 3*c - 14, h*w - c + 6 = -0*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4)\/(28\/273728*-52)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.5 (b) -0.3 (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*o + 40*o**2 - 78*o**2 + 2*o**4 + 15*o**3 + 1 - 17*o**3 + 39*o**2 + 4*o in the form v*o**3 + w + q*o**4 + n*o**2 + d*o and give d.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 to the power of 1\/3, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.6 times -0.2?\nAnswer: -1.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4*d - 3*d = -25, 0 = 2*b - 5*d - 35. Solve b*n - 8 = z, z - 3 = -3*n + 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/3 and 5657 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 e, and 1 u when three letters picked without replacement from uepaffuah?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49 - -58. Let g = r + 40. Let o = g - 45. What is the remainder when 9 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50585 is divided by 3889.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 2, -585, 4, -19.\nAnswer: -585, -19, -3, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 9*t**2 + 6*t - 30. Let y be l(-7). Suppose i - y = -2*b, -b + 0*b + 187 = i. List the prime factors of b.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -79, -77, -75, -73, -71?\n\"Answer: 2*q - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2099*n + 178072. What is d(-85)?\nAnswer: -343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(640)*-2)\/(sqrt(8) - sqrt(88)\/(-2*sqrt(11))).\nAnswer: -16*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xjsxxvavjsaxs. What is prob of picking 1 v, 2 x, and 1 j?\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126311, 126400, 126489, 126578, 126667, 126756?\nAnswer: 126845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12923, -20767, -28611, -36455, -44299, -52143?\nAnswer: -59987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216)\/sqrt(192))\/(sqrt(1089)*-4 + sqrt(1089) - sqrt(1089) - sqrt(1089)))**2.\nAnswer: 1\/24200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 2*y**3\/3 + 1. Let q(r) = 55*r + 10*r - 32*r - 32*r. What is q(l(m))?\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41211192.02218 - -41212565. Let i = -1373 + t. What is i rounded to three dps?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 0, 297, 652, 4 in ascending order.\nAnswer: 0, 4, 11, 297, 652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 - 557 = -10*q + 72*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 + 1728891*h**2 + 747265158024*h - 747266886916.\nAnswer: (h - 1)*(h + 864446)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005118 to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 5*t**2 + 15*t - 4. Let g be q(8). Calculate the common denominator of 0 + 0 - (-1456)\/g and 2\/(-7) + 430\/(-112).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -51*t + 12. List the prime factors of j(-3).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -30, 4, 48, -0.405, -0.05, 1\/9?\nAnswer: -0.405","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.06 + -9.94. Let v = 9.8 + t. Let k = v + 0.200035. What is k rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -838?\nAnswer: 3\/838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y. Let f(n) be the second derivative of 11*n**3\/6 + 8*n. What is z(f(x))?\nAnswer: -22*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 353\/2 + -182. Let f = v + 23\/4. What is the biggest value in -2, f, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lnol when four letters picked without replacement from neonennnllnnnnnn.\nAnswer: 11\/21840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 16 = 326. Suppose 0 = 8*m - 14 + n. Is (176\/m)\/(34\/(-51)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1790, -3565, -5340, -7115, -8890, -10665?\nAnswer: -12440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 168365 to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*n**2 + 2\/3 + 0*n + 0*n**3 + 2\/3*n**4.\nAnswer: 2*(n - 1)**2*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -43261.8011 to the nearest ten.\nAnswer: -43260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 410*a**2 - 447*a**2 + 104*a**2.\nAnswer: 67*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**2*o**2*z + 7688*h**2*o - 3*h*o + h*z + 8*o**2*z + 176*o wrt h?\nAnswer: 2*o**2*z + 15376*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 4*w + 12. Suppose -2*v - q + 17 = 0, 26 = 3*v - q + w*q. Let h(k) = -k**3 - k**2 - k + 15. Calculate the remainder when h(0) is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.633578 days in seconds?\nAnswer: 54741.1392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-145)\/87)\/((5\/(-3))\/(-5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101001 - -11000?\nAnswer: 100000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18851*n**3 - 2 - 9433*n**3 - 9428*n**3.\nAnswer: -10*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.67 + 14.671274. What is t rounded to five decimal places?\nAnswer: 0.00127","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 9*m - 35 = -34, 5*c = 5*m - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/3 + 22\/6 + 3. Solve 5*j - 15 = 5*o, -w = 3*o + j - 6*j for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 552656194 a multiple of 494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 8*k**2 - 3*k + 2. Give h(-4).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 1, -0.1, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 16\/15, -5, 0.5, -4\/5?\nAnswer: 16\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - (-2 + -3)) + 1. Let f be -2 - (-3 - (-2 - 2)). Sort f, 2, b.\nAnswer: f, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 989013.\nAnswer: 3, 329671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 34734254957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a + 8. Let j be k(4). Suppose -q + j*q = 6. Suppose -q*r = -i - 3*r - 3, -r = 2*i + 4. Let y(x) = -8*x - 1. Determine y(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-2\/5)))**(-2\/71)*(l*l**6*l)\/(l**4\/l)*((l\/(l\/(l\/(l\/(l**(3\/4)*l)*l))))\/l)\/(l**4\/l)*(l**2)**(1\/34) assuming l is positive.\nAnswer: l**(43393\/24140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -60, -210, -490, -942?\nAnswer: -1608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 2867876*f**2 - 2867877*f**2 - 20 - 7*f**3 to o*f + i*f**2 + l + k*f**3 and give l.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -50*g + 175. Let f(a) = a**2 + 185*a - 701. Give -3*f(p) - 11*x(p).\nAnswer: -3*p**2 - 5*p + 178","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 3*x - 3. Let w be i(4). Let g be (w\/2*3)\/(6\/16). Is (1*(-26)\/g)\/(5\/(-90)) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.19 + 0.19. Let g = h + 6. Which is the nearest to -1? (a) 1\/3 (b) g (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 562 is divided by 30.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -11 - 20\/3*n + 1\/9*n**3 - 19\/6*n**2. Factor x(y).\nAnswer: (y - 20)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16243302?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -23*a**4 + 3*a**3 - 3*a**2 + 14. Let q(w) = -24*w**4 + 4*w**3 - 4*w**2 + 14. Let z(s) = -4*c(s) + 3*q(s). Differentiate z(n) wrt n.\nAnswer: 80*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7 - 4) + -1*12. Let c be g\/54 - (-13)\/6. Find the first derivative of 0*r**2 + c*r**2 - 7*r**2 + 2 wrt r.\nAnswer: -10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*t + 44 = -79*t. Let n(a) = 1. Let j(i) = -5*i + 2. Determine t*j(q) + 4*n(q).\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16110 is divided by 447.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 809206306 to the nearest integer?\nAnswer: 932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 5*g**3 + 40*g**2 - 6*g - 45. Let h be l(-8). Solve 0 = -h*i + 25*i + 132 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51)\/(-68)*(-3 + 1)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5380500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 267251 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*r**2 - 82 + 29*r**2 - 50*r**2 in the form y + o*r**2 + x*r and give y.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 821.1 + -828.1. Which is the fourth smallest value? (a) 9 (b) j (c) 1\/5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f99b (base 16) in base 11?\nAnswer: 44010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 1552*f**2 + f + 9. Let b(h) = -387*h**2 - 2. What is -9*b(w) - 2*c(w)?\nAnswer: 379*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(96\/(-3)))\/(((-2)\/12)\/1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -2. Is q at least as big as 110\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xdxxxdrxxrdrrx. Give prob of picking 3 x.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 1012 = -4*c + 6*u, -c = u - 257. Let g be 2\/(-7) - 214\/(-14). What is the greatest common divisor of g and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*z - 3*z - 39. Suppose 2 + z = n. Is ((-1725)\/n)\/(-5) - -3 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -211 - -2212?\nAnswer: 2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 114859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 37612596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1890)\/198 + 9 - 16252\/(-3740)\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 2\/7, -1\/230 in ascending order.\nAnswer: -1, -1\/230, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1297598035.1 and -0.2.\nAnswer: 1297598034.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, z: 3, d: 2}. Give prob of picking 1 d and 1 z.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 6*(-2 + sqrt(17))*6 + 0.\nAnswer: -70 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, b: 3}. What is prob of sequence fffb?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 30*h - 150. Let v be z(6). Suppose -336 = 22*j - v*j. Suppose s - 13 - 50 = 0. What is the greatest common factor of s and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -4*p**3 - 4940*p**2 + 4944*p = 0?\nAnswer: -1236, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -4*q + 229, -6*c + 155 = -3*c - 2*q. Suppose c = t + m, t - 4*m - 24 = -0*m. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 201254 and 94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11)\/(-3) + -5 + 2. Sort q, -3\/2, -5.\nAnswer: -5, -3\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26100534311 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 -236158, -472318, -708478, -944638, -1180798, -1416958?\n\"Answer: -236160*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 6:09 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**3 + a + 65293*a**4 - 65379*a**4 + 6*a**2 + a - 3*a**2 to f + w*a**3 + j*a + h*a**4 + i*a**2 and give h.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199 = -4*w - 3*u, -w + 3*u - 43 = -2*w. Suppose t = 4*h - 48, -t = 4*h + 2*t - 64. Calculate the greatest common divisor of h and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*v - 9 = 131*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 214\/2003619 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-3))\/(2\/6). Let h(j) = 6*j**2. Suppose f + 1 = 17. What is the remainder when f is divided by h(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-6)*d\/d**(-8)*d\/d**(-5)*d**(-7)\/d)\/(((d*d*d\/(d\/(d*d*d\/((d*d**(1\/6)*d*d)\/d)*d)))\/d**(2\/3))\/((d**(7\/4)*d)\/(d*d*d**2))) assuming d is positive.\nAnswer: d**(-29\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/7 (b) -0.1 (c) -0.3 (d) 0.8 (e) -182\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10658*h*n**4*w + 319665*h*n**2*w + 4*h*n**2 + 7*n**4*w + 2*n**3 wrt n?\nAnswer: 255792*h*n*w + 168*n*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2*v = 2*v - 8, -5*v = 15. Let d = 0.132 - 6.832. Let t = -7 - d. Which is the closest to -2\/7? (a) -0.2 (b) n (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 288 and 1836?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 8. Calculate s(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (68\/(-5) - (-29 - -19))\/(446\/1115).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -43698047*v + 77089233?\nAnswer: -43698047","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.82 - 0.32. What is the smallest value in f, 2, -3, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-74)\/(-12) - (-3)\/(-18). Solve -g + u = -3*b, -b + 1 = g - 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -63*z**2 - 5160*z + 33221. Give r(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5369522 and 0.2.\nAnswer: 1073904.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*j - 7*j + 434970*j**3 + 27978*j**3.\nAnswer: 462948*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ozo when three letters picked without replacement from {z: 13, o: 6}.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 554.08*-0.05\nAnswer: -27.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -57870*s**3 + 18*s**2 - 1100733*s - 3 wrt s?\nAnswer: -347220*s + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 34387931 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: 3.8 + 336360472.446\nAnswer: 336360476.246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 3461*a - 3470*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(175) + sqrt(175) - sqrt(49)\/(sqrt(28)\/sqrt(4)).\nAnswer: 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 15\/2, -2\/17, 6\/5, -1\/6, -1\/4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 42*s**2 + 269*s + 4. Calculate b(-6).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (5 + (0 + sqrt(1872) - sqrt(1872) - sqrt(1872)))**2*-6 + (2*(3 + sqrt(1872)) + 0)**2 + -5.\nAnswer: -3868 + 1008*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 921\/9 - (-24)\/(-72). Calculate the greatest common factor of 1122 and t.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 10*p**2 + 87*p - 3. Let c(t) = -21*t**2 - 203*t + 7. Let z(w) = -3*c(w) - 7*k(w). Let u(i) = 485*i. What is u(z(b))?\nAnswer: -3395*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 0*s + 3*s - 19 + 3*s. What is the remainder when 170 is divided by n(9)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-21 - (-7 - ((-8 - -8) + 0)))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 5*n + 101414, -a - n + 51557 + 49869 = 0. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of 497*k**5\/60 - 985*k**3\/3 - 546*k**2 + k. Differentiate q(l) wrt l.\nAnswer: 994*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, i: 8, z: 10}. Give prob of picking 1 z and 2 i.\nAnswer: 280\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 9*g + 302 = 2*f, -5*g = -2*f + 266. What are the prime factors of f?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5*g + 353, t + 155 = 2*g - 4*t. Suppose 2*m = -5*r + 25, 0 = -5*m + 3*r + 2*r + 45. What is the highest common factor of m and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 12 - 36 = 0. Solve 4*w**5 + 470*w - 470*w - 4*w**b = 0 for w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s*s*s**1))\/s)**(-30))**(22\/9) assuming s is positive.\nAnswer: s**220","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4*q = -220, -3*g - 5*q - 128 + 309 = 0. Suppose 5*t = 5*z - 59 - 131, 106 = 3*z - 5*t. Calculate the remainder when g is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tyhyttyttphht. Give prob of sequence pt.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -412882 (base 9) in base 16?\nAnswer: -3bcc9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8671 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 241 less than -0.15?\nAnswer: -241.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 256146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/5*-8)\/((-6)\/15). Is 17598\/m*56\/(-84) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, v: 9, l: 4}. What is prob of picking 1 v and 3 l?\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -27 + 23 + -17?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 v when three letters picked without replacement from {l: 7, j: 6, v: 2}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0256 - 70.9744. What is the second biggest value in a, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 15*w**2 - 7*w**2 + 0 + 27*w**2 to the form b*w + h + k*w**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.446 - 4.754. Let p = f - -4.7. What is the fourth biggest value in -17, -4, 2, p?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3694478 or 3694531?\nAnswer: 3694478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 12 = -4*z. Suppose 3 = -0*i - z*i. Sort i, -4, 3 in decreasing order.\nAnswer: 3, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24507*u - 24507*u + 69*u**3.\nAnswer: 69*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 548\/9 + -245\/4. Calculate the common denominator of 3\/20 and k.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.59 - -0.21. Let m = -1.2 - f. Let s be -5*5\/(-50) + 3\/(-10). Which is the closest to -1? (a) 4 (b) s (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4932347, -4932419, -4932539, -4932707, -4932923, -4933187, -4933499?\nAnswer: -4933859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1020 - -10202?\nAnswer: 11222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/10 - 726\/(-10). Suppose 646 = -19*u + 23*u - 3*g, -3*g + 154 = u. Suppose 3*f - u = -r. Which is the nearest to f? (a) -3 (b) 1 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 136*m**2 - 124*m**2 + 1 - 2 to v*m**2 + a*m + r and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w - 35*w**3 + 24*w**3 - 3*w)*(-15*w - 11*w + 19*w) to l*w**4 + g*w + v*w**2 + y*w**3 + u and give l.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.653 - 0.653. Which is the closest to q? (a) 1.18 (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -42 - 1\/2*a - 1\/2*a**3 - 3\/4*a**2 - 1\/8*a**4. Factor g(i).\nAnswer: -(i + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 15. Let a = w + -2. Solve 5 = 2*l - a for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k - 2*k**4 - 2*k + (-3 - 1 + 1)*(2*k - 2*k**4 - 2*k) + 2*k**3 - 2*k**3 + k**4 + k - k - 2*k**4.\nAnswer: 3*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4*(5*(1 + sqrt(75) + (sqrt(75) - sqrt(75)*-2) - sqrt(75))*5 + -4))**2.\nAnswer: -20271168 - 756000*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-102 + 8)*35597\/(-1). Let c = d + -36773223\/11. Let w = -3095 + c. Calculate the common denominator of w and 33\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002657 to 7 decimal places.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 23634038 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1541 (base 6) to base 13\nAnswer: -265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -150\/1051 - -868351\/6076882. Let b = 134429\/14455 + j. Calculate the common denominator of b and 109\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*o - 3 + 3)*(3 - 4 - 1 + 4 - 2 - 3 + (5 - 2 - 2)*(2 - 2 - 1))*((4*o - 2*o - 3*o)*(4 - 4 + 1) + 10*o + 15*o - 3*o) as v*o**2 + j*o + r and give v.\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 31 and -958.587.\nAnswer: -29716.197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 110642.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 95.9765mg?\nAnswer: 95976.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**2\/4 - 15*s - 31141\/4 = 0?\nAnswer: -149, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 0, 0*s = k + s + 11. Let x(t) = 44*t**2 - 4*t - 2. Let r be x(-1). Let l = r - k. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2321 or 2327?\nAnswer: 2321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, c: 5}. What is prob of sequence rcr?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 19, 37, 67, 109, 163, 229?\n\"Answer: 6*n**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 138*c**3*r**2 - 4*c**3*r + 2*c**3 - 2*c**2*n*r**2 - 21*c*n*r**2*w - 10*c*n*w + 12*c*n + 2*c*r*w wrt r.\nAnswer: 276*c**3 - 4*c**2*n - 42*c*n*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155*p - 1097 + 1097 + 0*p**2 - 4*p**2.\nAnswer: -4*p**2 + 155*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 6*s + 13. Let y(g) = g**3 - 6*g**2 - 5*g - 17. Let w be y(s). Is (-2 + 1 + -10)*w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.2427899 nanograms?\nAnswer: 0.0000000002427899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2002988 to the power of 1\/2, to the nearest integer?\nAnswer: 1415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -99, -2, -19, 3.\nAnswer: -99, -19, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 7) to base 5\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 141 - 142. Let z(r) = r**3 + 8*r**2 + 13*r + 1. Let k be z(-6). Which is the closest to 2.5? (a) h (b) 5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -0.03. Let t be (3 - 99\/36)\/(2 - 3). What is the nearest to -2\/7 in o, t, 0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 1880\nAnswer: -3760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*q**6*t**2 + 2*q**3*t**3 - 7*q**3 + 13*q**2*t**3 - q*t**3 + 8*t wrt q.\nAnswer: -240*q**3*t**2 + 12*t**3 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/288 and 103\/396?\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3592 (b) 3 (c) 2 (d) 4.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 8:56 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-10)\/(-5)*36\/8)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*w**2 + 13*w**2 - 6 - 23*w**2)*(0 + 5 + 0)*(3 - 5 + 0) as j*w + a*w**2 + p and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -55043 * -341\nAnswer: 18769663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -bb2 (base 13) to base 10\nAnswer: -2004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -668751 + -1?\nAnswer: -668752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rgrrhwrrrrgwrprrrrw. What is prob of sequence hgg?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 2) + (-3 - (0 - -1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from viivviiviivv?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(150\/(-4))*(-87)\/(-116)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) -0.5 (c) -1.788\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 11:57 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6272)\/64960)\/(42\/30).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, 2915, -1156 in decreasing order.\nAnswer: 2915, 35, -1156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of 0*m - 1\/1344*m**8 - 1\/210*m**7 - 2*m**2 - 1\/60*m**5 - 1\/80*m**6 - 1\/96*m**4 + 0*m**3 + 0. Suppose h(t) = 0. What is t?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -5446?\nAnswer: 5453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2324 (base 6) to base 14.\nAnswer: -2ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1583, 5961, 12573, 20861, 30267, 40233, 50201, 59613?\nAnswer: 67911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-1 + sqrt(833))*2*-5 + -2 - (-1 + (-3*(0 + sqrt(833))*-6)**2)).\nAnswer: -269887 - 70*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13829460 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 778954 is divided by 538?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 424498584.\nAnswer: 2, 3, 41, 389, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -446 - -125062?\nAnswer: 124313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 i when two letters picked without replacement from vmocwmwi?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 26, 11, -22, -79, -166?\nAnswer: -289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 9 = s + 5*p, 0 = s - 4*p + 24 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1099.47 times -673.9\nAnswer: -740932.833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m = 22*m + 450. Let o be 146\/30 - 12\/m. Put 1, -5, -2, o in decreasing order.\nAnswer: o, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91*(-111)\/(-481)*((-12)\/9)\/2\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*f + 10 = f, -4*a = 4*f - 4. Suppose 4*i + 6 = i, -i - 32 = -a*s. Solve 6*l - 2*l**4 + 16*l**3 - s*l**4 - 60*l**4 - 4 + 54*l**2 = 0 for l.\nAnswer: -1\/2, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.07 (b) 5\/52 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1853*s**2 - 6229*s - 2*s**3 + 12443*s - 1853*s**2 - 6214*s.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 2\/7, -2, -295?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1626.6 - 1622.8186. Let u = t - -0.2066. Let s = 0.012 + u. What is the nearest to -2 in 5, 2\/3, s?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3076199.7 days to weeks.\nAnswer: 439457.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 19166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gsgkk. Give prob of sequence kg.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 996605285 a multiple of 8605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 778.7464um in nanometers?\nAnswer: 778746.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -3*k + 2*k + 5, 3*k + 19 = -5*u for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 34*y + 1. What is the tens digit of p(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -7*d**5\/60 + 11*d**3\/2 - 41*d**2\/2 + 31*d. Let r(b) be the first derivative of x(b). Differentiate r(i) wrt i.\nAnswer: -14*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -x**6\/6 + 818*x**3\/3 - 389*x**2 - 2226. Find the second derivative of q(b) wrt b.\nAnswer: -20*b**3 + 1636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 - 1)*(0*f + 0*f + 2*f**3) - 768*f**2 - 11 + 98*f**3 + 769*f**2 - 97*f**3 in the form w*f**3 + j*f + i*f**2 + c and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -178430097, -356860193, -535290299, -713720421, -892150565, -1070580737, -1249010943, -1427441189?\nAnswer: -1605871481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 17*j**6\/2 - 152*j**3\/3 - 245. Find the third derivative of o(g) wrt g.\nAnswer: 3060*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 0, -5*t - f - 20 = -5*f. Let i = t - -6. Suppose 253 = i*v - 489. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 746 + -700. Calculate the remainder when j is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of 0*i + 0 - 1\/3*i**3 - 1\/6*i**4 + i**2. What is o(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4219?\nAnswer: 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -86 + 39. Let y = -16 - q. Let w = -29 + y. Solve -w*s = -5*d - 25, -2*d - 2*s + 0*s + 4 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 337607877?\nAnswer: 3, 277, 406267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 174 + -127. Let l(k) = -3*k**3 - 4*k**2 + k - 24. Let j(i) = i**3 + i**2. Let b(f) = -4*j(f) - l(f). Calculate the remainder when t is divided by b(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 115025094*a. Let q(o) = 2*o**2. Determine t(q(j)).\nAnswer: 230050188*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 17\/2. Let r(j) be the first derivative of -1 - m*j**2 + 2*j - 1\/3*j**3. Solve r(k) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v - 1. Let y(z) = 1. Let i(a) = g(a) + 3*y(a). Let l(p) = -p + 11. Let d be l(8). Give i(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 60848 + -26355. What is the thousands digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f - 13. Calculate g(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, v: 2, y: 2, f: 10, g: 3}. What is prob of picking 1 t, 1 v, and 2 y?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/30)\/((-10)\/30). Is r equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 39 = -5*d, 24 = 4143*d - 4145*d + c for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 2792 and 0.\nAnswer: 2792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*-1 + (-4)\/(-2) + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: What is eighteen fifths of a milligram in micrograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.099 and 1568.\nAnswer: -155.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -13 from -62989168.\nAnswer: -62989155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -30954 divided by -231\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -33 - -10544383?\nAnswer: 10544350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*o + d + 6, -2*o + 4*d + 12 = 0. List the prime factors of 1\/o + 14*(-279)\/(-12).\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-2)\/44*6\/(-3)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 51*n**6 + 5*n**3 + 3*n**2 - 5*n. Let i(u) = 25*u**6 + 2*u**3 + u**2 - 2*u. Let s(o) = -2*h(o) + 5*i(o). What is the third derivative of s(m) wrt m?\nAnswer: 2760*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*l**5 + 564309*l**4 + 5009079*l**3 + 7859451*l**2 - 15091290*l + 1658400 = 0.\nAnswer: -11056, -5, 2\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*s = -468 + 493 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48655 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 79 + 122. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5211 + 3606\nAnswer: -1605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -62 - -118. Does 28 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 705 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(258 - 258 + 105*n**3) + (-n**2 - 3*n**2 + 0*n**2)*(3 - 3 - 2*n).\nAnswer: 113*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-6))\/(17*(-44)\/(-37400)).\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3*b**2 - 4*b + 7. Let s be o(2). Calculate the greatest common divisor of 22 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 621101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 16*p - 47. Let f be z(12). Let h be (-2 - f) + 61 + -2. Let a = -37 + h. Does 19 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 327, 471, 697, 1005?\n\"Answer: 41*u**2 + 21*u + 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3287732 (base 9) in base 15?\nAnswer: -24e958","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 0, 443?\nAnswer: 443","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 9 = -4*a + 3*h, -4*h + 5 = 3*a. Let z = 4261\/30 - 1419\/10. Factor -2\/3*g**2 - 2\/5*g - z*g**a + 6\/5.\nAnswer: -2*(g - 1)*(g + 3)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 640*f**2 + 648*f**2 - 1934*f**2 + 642*f**2. Let k(h) = -355*h. Give s(k(g)).\nAnswer: -504100*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 1163307613.\nAnswer: 4653230452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1231, 5584, 13061, 23656, 37363, 54176, 74089?\nAnswer: 97096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 x when three letters picked without replacement from {h: 1, j: 1, v: 3, l: 1, x: 4, n: 2}.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2931910731?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15*24\/140)\/((-8)\/42*3).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -u - 8. Let a = u - -8. Suppose 3*y = x + 11, 36 = a*x - 4*y + 8*y. Calculate the smallest common multiple of x and 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/210)\/(15\/(-25)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-12)*n\/n**12)**(-2\/19)*n**9*n**(-9)*n*n**(-9)\/(n\/n**(-6\/11)) assuming n is positive.\nAnswer: n**(-1489\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 41?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -128*z**3 - 3*z**2 + 2*z + 11. What are the prime factors of g(-4)?\nAnswer: 8147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i*i**(2\/5)*i*i*(i\/(i*i*i**(1\/4)*i)*i*i)\/i*i**(-1)\/(i**(1\/9)*i)*(i*i\/i**(-1))**32*i**(-2)\/i**(-5) assuming i is positive.\nAnswer: i**(18007\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3 + 9 = 0. Suppose 0 = -3*i + w*j + 89, 2*j = 3*j - 2. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 53649.7447 to the nearest one hundred.\nAnswer: 53600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1*sqrt(132)*-1 - (-5*(sqrt(132) - -2*sqrt(132)) - sqrt(132))))\/((sqrt(96)\/(-2*sqrt(4)))\/(sqrt(8) + sqrt(72))).\nAnswer: -544*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2530, -2321, -2112?\nAnswer: -1903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of m**5\/330 - 5*m**4\/132 + 25*m**2\/2 + 13*m. Let r(p) be the first derivative of v(p). Solve r(o) = 0 for o.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2099593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssqsqssess. What is prob of sequence ssss?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(18\/(-4) + 4). Let p(d) = 3*d**3 + 4*d. Let i(b) = -b. What is q*p(g) - 4*i(g)?\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-63052)\/(-55) - ((-2)\/(-5) - 0)?\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-1)*1\/(-42)*-7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5928\/(-22971))\/(1\/3*6).\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 79\/5 - 23. Let v = -1264\/3 + 425. Find the common denominator of v and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1849609055 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 530 is divided by 134?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 5*d + 37. Let c(o) be the third derivative of 0*o**d + 1\/6*o**3 + 1\/105*o**7 + 0*o**5 + 0 + 0*o**4 + 2*o**2 + 0*o. Differentiate c(l) wrt l.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 49, 12.\nAnswer: -5, 5, 12, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -16*b + 1300. Let f(o) = 12*o. Give s(f(n)).\nAnswer: -192*n + 1300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 1 (c) 0.12 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m + g = 6*m + 2, -2*m + 4 = 3*g. Solve 5*j = -m*h + 3, 5*h + 0*h + 4 = -j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -8 + (2 - 259\/(-42)). Which is the third biggest value? (a) q (b) 26 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03447859 * -3.\nAnswer: -0.10343577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 3*u + 1 + 5, -2*d = 5*u - 16. Let s be u*114*3\/4. Let k = 508 - s. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(66)\/sqrt(6))*-1.\nAnswer: -sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 120015*f - 769788 with respect to f.\nAnswer: 120015","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1035 and 486000.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, h: 1, z: 1, b: 2, r: 2, u: 1}. Give prob of picking 1 u and 2 r.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 430*k - 415*k - 75 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4 + sqrt(684) + 1 + sqrt(684) + 3)*-4 + (sqrt(684) + (-2 + sqrt(684) - sqrt(684)))**2 + -4 + (1*sqrt(684) - sqrt(684))*3.\nAnswer: -72*sqrt(19) + 680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 45364*q**4 + 334*q**3*w + 913746*w + 6 wrt q.\nAnswer: 181456*q**3 + 1002*q**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 16, 45, 122, 271, 516, 881, 1390, 2067?\n\"Answer: 4*a**3 + a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121010221 (base 4) to base 12.\nAnswer: 4b521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 1. Suppose o = k - 4*k + 12. Suppose -3*m + 11 = k*i, -2*m = 3*m + 15. Calculate the remainder when i is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 8490?\nAnswer: 8490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4764 is divided by 4686.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24525 and 44145.\nAnswer: 220725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -23.2 (b) -0.02 (c) 2\/3 (d) -0.4 (e) 2.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1241218370 to the nearest one hundred thousand.\nAnswer: 1241200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5903200, 8, -6 in decreasing order.\nAnswer: 5903200, 8, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4\/7 (b) 0.08 (c) 0 (d) 58\/97 (e) 3 (f) 56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19490 rounded to the nearest 1000?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**2 - 5*w - 2. Let a(b) = 8*b - 5493 + 4*b**2 + 5496 + b. Determine 3*a(s) + 5*p(s).\nAnswer: 2*s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 388746.2 millimeters?\nAnswer: 388746200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -235?\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**5 + 15*u**3 - 15*u**3 - u**5 - u + u + (2*u - 2*u - u**5)*(0 - 2 + 0) + 0*u**5 + 2*u**5 - u**5 + 58*u**5 + 359*u**5 - 34*u**5.\nAnswer: 389*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 92452354879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + i + 1 = 0, l - 5*l - 3*i = -7. Let j be 655\/130 - (l + 10 - 3). Is j greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 13 = 3*y, 5 = -r - 4*y - 6. Let j = r - -6. Let u = j - -16. Put 2, u, 4 in decreasing order.\nAnswer: 4, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28 - (-1166)\/44)*(0 + (-40)\/108)\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in -0.5, 5, 2, -9\/7?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-21))\/(-4*(27\/(-3))\/9)\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/490 and -73\/140?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10 - 9*l + 8*l + 21*l + 11*l wrt l?\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1522b + 60?\nAnswer: 1528b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 71.78884 years?\nAnswer: 0.7178884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.99 rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 90\/5 - 3927\/(-357).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19939273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -14. Solve 14*m**2 - 61*m**3 + 63*m**3 + 18*m - 2*m**2 + n = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 502\/3 (c) 0.3 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -y - 4, -4*z - 21 = -1. Let u(n) = 21*n. Give u(y).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2288670*a**3*y - 133*a*y - 2*y + 7160 wrt a?\nAnswer: -13732020*a*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + 0*k**2 + k**2 + (-k**2 - k**2 + 0*k**2)*(-7 + 2 + 8))*(1 + 4 - 3).\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(162) - (sqrt(162) - (3 + sqrt(162) + -2 + sqrt(162))**2)) + (-4 + sqrt(162) + 0 - (-3*(1 + sqrt(162)))**2).\nAnswer: -818 - 117*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-2\/49))\/n*n**(-1\/15)*(n**(-2)*n)**(2\/13) assuming n is positive.\nAnswer: n**(-1717\/9555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 754880921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1172021, 1172025, 1172029, 1172033, 1172037, 1172041?\n\"Answer: 4*g + 1172017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -205.8675023 - -143.867507. Let n = a - -62. What is n rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n + 11. Let v be b(-11). Suppose 0 = -w + 2*x + 196, v*w - w - 2*x = -200. What is the highest common divisor of w and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*4\/(-1) + -2. Suppose -5*g = -h*g - 285. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30*1\/(-5)*280\/2730*39?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17711625 a multiple of 1095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 25687888531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*n - 5. Suppose -2*w + 36 = n*w. Solve -4*b = -w - 11 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4658, 9013, 13368, 17723, 22078?\n\"Answer: 4355*j + 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.9844 - -0.0156. Let h = -9 - d. What is the second biggest value in -0.4, 0.4, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -46 - -2*(-6)\/(-4). Let b = -25 - f. Is b a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54 - 35. Let s = f - 26. Let c(b) = b + 2. Determine c(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 84\/(-30) + 3 + (-3)\/(-135). What is the nearest to -1\/4 in 10, f, 0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10485 and 18873?\nAnswer: 94365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 50038297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(6\/7)\/(y*y**(-1))*y**1*y**(-3)\/y assuming y is positive.\nAnswer: y**(-15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v + 6*v - 29*v**2 - 5*v.\nAnswer: -29*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-33) + 1275\/187 - 4. Solve -10*n + 65 = v*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1543.\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 200764 = 200763?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l. Let j be m(-1). Let x = -212949 - -212945. What is the second smallest value in x, 5, -2, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2 + sqrt(275)*-5.\nAnswer: -25*sqrt(11) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-2) + 4)\/((-4)\/(-328)). Calculate the highest common factor of k and 697.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 171*j*p**2 + 424*j*p - j + 8896*p**2 + 3918 wrt j.\nAnswer: 171*p**2 + 424*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of p**3\/3 + 29*p**2\/2 + 4*p - 31. Let f be u(-29). Solve 2 = -h + f for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 0*c = 684. Suppose 3*g + c = 3*x + g, 6 = 2*g. Does 22 divide (((-526)\/4)\/(20\/x))\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -w**3\/3 + 9*w**2\/2 - w. Let t be (4\/(-6))\/(8 - (-1176)\/(-144)). What is f(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 1)\/(8\/(-24))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -251 - 205310005?\nAnswer: -205310300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - -1)\/(1\/3). Let k(u) = -u + 0 - n + 0 + 1. Give k(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/9)*q**(-5))\/(q**(-2\/7)*q*q**(-2\/11)))**15 assuming q is positive.\nAnswer: q**(-18400\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 117*h**2 - 3*h + 374. Let c be n(117). Solve 7*t - 51 = -c for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -76, -125, -192, -283, -404?\nAnswer: -561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-6) + (-170)\/(-300)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/21 - ((-68)\/7 + 4). Does 5 divide (163\/3 - 4) + (-2)\/d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 4322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qsis when four letters picked without replacement from siqiq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 863019, 862994, 862969, 862944?\nAnswer: 862919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 83078, 83073, 83066, 83057, 83046?\n\"Answer: -j**2 - 2*j + 83081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-113)\/((-75936)\/(-576)) - (2\/(-1071))\/(2\/876).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6*-38*3\/18. Let y = -32 - a. Solve -2*j + y = -4 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -517412 divided by -118.\nAnswer: 258706\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**2 - 7*s + 16. Give t(7).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z + 1. Let c be r(-1). Suppose -2*k = 4*x - 44, -2*k + c*x = -3 - 6. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27969458 divided by 2\nAnswer: -13984729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - -1) + (-9)\/(-4). Let b = 2337 + -4673\/2. Let -b + 7\/4*c**2 - q*c = 0. Calculate c.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -63 + 68. Let d be p\/((6\/(-63))\/2). Let y = 147 + d. Is 30 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -806.6299 * 48.\nAnswer: -38718.2352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -1 + x - 2*x + 3*x - x**2. Let l(k) = -k**3 + 10*k**2 - 8*k + 11. Let q be l(9). Suppose 0 = 5*h + q, 2*i - h - 12 = -0*i. What is n(i)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2. Let n(x) = 3*x**3 + 3*x - 2. Let y(s) = -c(s) + n(s). Let h be y(2). What is the greatest common divisor of h and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(3\/4)*a)*a)**(3\/13)*a*a**(-12)*a*(a*a\/a**(-10))\/a assuming a is positive.\nAnswer: a**(61\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.04349 + 0.04349. Let m = -41\/266 - 5\/38. Which is the closest to -1? (a) s (b) m (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 47, 79, 99, 101, 79, 27, -61, -191?\n\"Answer: -l**3 + 39*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 4*d = -24, j = d - 732 + 722 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -25. Let l be ((-1)\/z)\/(3\/12). What is the closest to -1\/3 in -1, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1138156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -642 - -3?\nAnswer: -63d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cgss when four letters picked without replacement from {s: 11, g: 2, c: 1}.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.04 + 0.36. Let j = -1.9 + 2.2. What is the third smallest value in j, 0.1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 920.6634 days?\nAnswer: 1325755.296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -837960, 0, -0.3, 9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**3 + 1246944 - 7*f**3 - f**3.\nAnswer: -6*f**3 + 1246944","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 33*m**4 - 45*m**4 - 84*m**2 - 94*m**4 - 164*m**4 + 27*m**5 + 45*m**4 + 264*m**3 = 0?\nAnswer: 0, 2\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (440 - (-24)\/6)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 67 - -129. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11480 - -15615. What is the remainder when k is divided by 166?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d - -b77c2?\nAnswer: b77d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - 0.4. Let f = -29351 - -29354. What is the second biggest value in 1\/2, j, 6, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + -6)\/((-1)\/54*1) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 6. Let d = -12 - -12. Let m = x - d. Which is smaller: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-9 + 18) - -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.24038kg in micrograms?\nAnswer: 38240380000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - y - 2248 = 0, 0 = -3*q + 4*q + 2*y - 553. Which is smaller: 562 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -9*o - 51, -31*l + 19 = -3*o + 29*l - 56*l - 5 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3811 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 83, 5, 0, -5, 22.\nAnswer: -5, 0, 4, 5, 22, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 4*m + 85, -5*m + 3*m = 0. Suppose -2*p = -4*p + 3*r + 22, -p + 3*r + x = 0. Let y = 0 - 2. Put p, -4, y in decreasing order.\nAnswer: p, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4 - -4) + (-65)\/6 and 38\/23.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 0.5, -1\/4, -0.252?\nAnswer: -0.252","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -453146634 divided by -2.\nAnswer: 226573317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 26746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w + 2*w - w + w + 0*w - 2*w - 3*w + 5*w - w + (-3 - 3 + 4)*(w + w - 3*w) - 4*w + 2*w + w - 230*w + 57*w + 114*w.\nAnswer: -60*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 134 = 3*v, -3*v + 61 + 75 = s. Suppose -v*w + 18*w = -162. Let k = -7 + 11. What is the remainder when w is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-2\/5))**24*q*q**(-5)*q*q**(2\/23)\/q assuming q is positive.\nAnswer: q**(1206\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*u + 8*u + 392556. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-24)\/(-108) + (-286)\/(-9). Suppose -34*s + k*s - 4 = 0. Let y be 54\/(-12) + 1\/s. Is y greater than or equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2374805893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 2 - 1 = n, -2*n + 6 = 4*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 3. Let m = -3.8 + -0.2. Let y = m + n. What is the closest to 0 in y, -5, -1\/6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12*-0.7\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -83*h. Let s(q) = 88*q - 7. Let d(j) = -58*j + 6. Let o(a) = -3*d(a) - 2*s(a). Give o(y(n)).\nAnswer: 166*n - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12009\/4 or 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12686?\nAnswer: 2, 6343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 46784 and 2176?\nAnswer: 93568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q*q**(-2\/5)*q**(2\/3)*q)\/(q**(1\/10)\/q*(q**(2\/3)*q*q*q)\/q))**(5\/7) assuming q is positive.\nAnswer: q**(25\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4f3a (base 16) to base 4\nAnswer: 10330322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1771224 and 93576?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3185283.\nAnswer: 3, 107, 9923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 - 140. Let q = -72 - h. Suppose 5*m - 3*f - q = f, 5 = -f. Solve a - 18 = -m*a + 5*w, 0 = 3*a - w - 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5 + 2*(((sqrt(304) + 2)*-6 - (3*(-1 + sqrt(304)))**2) + -3) + 3.\nAnswer: -5513 + 96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w - 26*w - 12*w.\nAnswer: -40*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684)*-2)**2*5.\nAnswer: 13680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -7*b - 54. Let y be z(-8). What is the third derivative of 28*w**y + 954*w**3 + 980*w**3 - 2003*w**3 wrt w?\nAnswer: -414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + ((10 - (20 - 4)) + (0 - -10) - -23)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2*390\/432*4 and -8\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*c**3*g**2 - 13283*c**3*g + c**3 - 1118*g**2 wrt g?\nAnswer: 58*c**3 - 2236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - q**2 - 2*q. Let b be j(0). Suppose 0 = h + 3*i - 42, 5*h - 180 = -b*i - 5*i. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**2\/4 - 8785*w + 175825\/4 = 0. What is w?\nAnswer: -7033, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -16. Let r be 6\/j - (-34)\/60. Let s = 0.046 - -0.054. Which is the nearest to 0.1? (a) -3 (b) s (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 98358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40428095 is divided by 127937.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205940 is divided by 22866.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 0.02 (c) 1\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*d + 2*k - 3, -3*k = 4*d - 21. Let n be 3 - d - (-2 + 3). Is n less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.314, -6, -0.26, 0, -1\/3, 1 in increasing order.\nAnswer: -6, -2.314, -1\/3, -0.26, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 22146281, 3.\nAnswer: 1, 3, 22146281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19744014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, -11, -37, -73, -119, -175?\nAnswer: -241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 9811 + 4853 = -5*r, 0 = q - 3*r - 3659. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1225?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 6*c - 6. Let t be h(7). Let o = t + 3. What is the remainder when (24 - (-8 - -4))\/2 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*o - 10 = -w, 4*w = -2*o + 40. Suppose v = -v - w. Let h = -3 - v. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 1:03 PM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4234 or 258230\/61?\nAnswer: 4234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2992*h - 5860. Let z(g) = -3007*g - 5854. Let c(s) = -5*d(s) + 4*z(s). What is the first derivative of c(q) wrt q?\nAnswer: 2932","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l - 4. Let k be n(-5). Let a(m) = -m**3 + 5*m**2 + 4. Let j be a(5). Suppose i - j*i + k = 0. Which is smaller: -1\/2 or i?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*a + 140*a - 2259307 = 0. Does 8 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -696474 divided by -164?\nAnswer: 348237\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*j**3*w**2 + 80128*j**3*w + 33*j + 4939*w**2 wrt j?\nAnswer: 24*j*w**2 + 480768*j*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 (base 15) in base 11?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f - f + c - 40, -1414*f = -1414*f + 48*c - 2352 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*v = -19*v. Suppose 2*y - 33 - 29 = v. Suppose -k = -34 - y. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -101?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -230*l. Let x(t) = -4*t**2. Calculate g(x(j)).\nAnswer: 920*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 404763597?\nAnswer: 3, 7, 53, 241, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47232918*r**6 - 3*r**2 - 770377*r - 2.\nAnswer: 5667950160*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 20 = 5*t. Suppose -g + 2*b = 4*g - 9, 3*g - b - 6 = 0. Solve 3*p = 5*z + t, 2*p - g*z - 1 = 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 24629660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-73825)\/89250 - (-4)\/34 and 107\/24.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151750163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 41639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 10*d**2 - 404*d - 2. Calculate z(16).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 108\/41 or 3?\nAnswer: 108\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 10*m - 129. Let j be u(23). Let n be (-2)\/(-20) + (-6477)\/j. Is n smaller than -38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 997060 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16816 - 8915. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158783053 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u - 84*u + 29000 = 486*u for u.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 17*d - 17. Let a be q(-10). Let p = 87 + a. Solve -3*t = 3, 4*w - 4*t + 4 = -p*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + c + 1. Let d be (-22)\/(-99) - 11\/9. Let n(o) = 2*o**2 + 3*o + 3. Determine d*n(j) + 3*z(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (60\/33 - -2) + (-2)\/(-11). Let d be f\/(-16) + (2 - 14\/8). Suppose d = 4*j - 5*k - 396, -7 + 81 = j + 5*k. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v*(v*v**(2\/91))\/v*v*v*v\/(v\/v**33)*v\/(((v*v*v**(-33)\/v)\/v)\/v*v)*v**(1\/8) assuming v is positive.\nAnswer: v**(51795\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*x**2 + 22*x**2 - x**5 + ((7*x - 4*x - 2*x)*(-5*x**2 + 5 - 5) - x**3 + x**3 - 2*x**3)*(-4*x**2 + 3*x**2 + 4*x**2).\nAnswer: -22*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 13 + 640*x**2 + 14 - 3 + x.\nAnswer: 640*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 355 and 30.\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 120\/90 + 185\/(-333). Let l = 808 + -7264\/9. Suppose l - k*d**2 + 26\/9*d = 0. What is d?\nAnswer: -2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-18)*36\/8. Calculate the greatest common divisor of 128 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 14) to base 6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 equal to 168331\/1546?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 9*u + 86. Let i be n(-6). Let d(z) = -z**3 - 6*z**2 - 5*z + 16. What is the smallest common multiple of d(i) and 320?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1791, 3797, 5803, 7809?\n\"Answer: 2006*p - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6840950 is divided by 4327.\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6754\/7 + -270993\/280. Find the common denominator of -71\/36 and r.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p - 20. Let l be w(-10). Solve 5*o - 17 + 7 = l for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 80 = -2*a + 83, -5*r = -4*a + 39 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*(sqrt(156)\/sqrt(3))**2 - ((4 + (sqrt(13) - (0 + sqrt(13))))*-5*-1)**2)*-1*2.\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 514810941 a multiple of 1191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 1120.\nAnswer: -2240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m**2 - 2*m - 12*m**3 - 15*m**3 + 26*m**3. Let j(p) = -p**3 + 2*p**2 + 3*p - 3. Let l be j(3). Let o be s(l). Put 12, o, -2 in decreasing order.\nAnswer: 12, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -17919*x + 89593. What is w(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of q**3*x**2 - q**3*x + 25020*q**3 - 52*q*x**2 + 5*q - 2*x**2 + 12 wrt q.\nAnswer: 6*q*x**2 - 6*q*x + 150120*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/20)\/(588\/(-392)) + 38\/(-40)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 13706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-2)\/(-4)*(-395)\/(-316).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -528 by 1184.\nAnswer: -33\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dqqxarxw. What is prob of picking 1 w, 1 d, and 1 q?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 9:39 AM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 16*z**2 + 16*z - 6. What is the lowest common multiple of v(15) and 13?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 2 - (3 + (10 - 6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87584.\nAnswer: 2, 7, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -10*s**2 - 1. Let r be q(1). Let a = -8 - r. Let t(y) = 3*y - 51. Let m be t(17). Solve b - a*b = m for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000254725 to seven dps.\nAnswer: -0.0000255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f - 28. Determine y(9).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) -7\/2 (c) -0.1 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -8233*o - 601002. Determine g(-73).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z - 3. Let f be a(0). Let b be 2 + (f - (-5 - -2)). Suppose -4*v = b*w + 19 - 163, -v + 72 = w. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103867 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j = 18*j - 56. Solve 50*w + 4*w**2 - 32 - 30*w - j*w = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -763 (b) 0.2 (c) 1\/4 (d) -51 (e) -0.4 (f) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.21 - 0.234. Round v to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83455538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1\/1*(-5777)\/(-53)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/27 + 335\/297. Factor 6\/11 - 12\/11*g - 6\/11*g**4 + 0*g**2 + b*g**3.\nAnswer: -6*(g - 1)**3*(g + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.27 - -0.03. Let c = -167.6 + 167.2. What is the nearest to -0.1 in c, m, -3\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssbpsbbpssubs. What is prob of picking 1 u, 1 p, and 2 s?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 118\/11, -0.5, 0.3853.\nAnswer: -24, -0.5, 0.3853, 118\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 293 + -174. Let f = -116 + z. Suppose -4*j + 2*c + 842 = 0, 0*j + f*c + 633 = 3*j. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-9)\/i**(2\/5)*(i\/i**(-5)*i)**(-42) assuming i is positive.\nAnswer: i**(-1517\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3005966 + 3005966 + 77*d.\nAnswer: 77*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p - 28. Let u be s(18). Sort 3\/7, u, -4\/5.\nAnswer: u, -4\/5, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 464249 a multiple of 157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -516914 + 8274845\/16. Let k = r - 264. What is the common denominator of -13\/16 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84734147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114873, 229769, 344673, 459585, 574505, 689433, 804369?\nAnswer: 919313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*b + 4862 = 2*b. Let u = 10 - -2. What is the remainder when b is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3130, 2474, 1818, 1162, 506?\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 7*f + 3. Let s be g(7). Let q = 1 - -5. Find the second derivative of 11*w + 5*w**s + 3*w - w - q*w wrt w.\nAnswer: 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28*x**4 - 1135*x**3 + 3*x**2 - x - 12401203.\nAnswer: 112*x**3 - 3405*x**2 + 6*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 360962.2 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 1 (b) 4 (c) -2 (d) -0.3 (e) 0.2646\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.705, 0.4, -0.4, 6086?\nAnswer: 6086","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 639?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = t - 34, 14*v = 26*t - 25*t - 88 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -7\/6*r**3 + 0*r**5 - 7*r**2 + 0 + 0*r + 1\/30*r**6 + 0*r**4. Differentiate h(q) with respect to q.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4*j + 8 = 0, -2*n - 4*j - j + 31 = 0. Suppose x = 3, -n*m + 8 + 7 = 2*x. Let h(y) = y**3 - 3*y**2 - 2*y + 2. Determine h(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210 is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f + 0 + f**2 - 2*f - 1 - f. Give b(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 595449.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**3 + 3*x - 1. Let f(v) be the first derivative of 5*v**4\/4 - 9*v**2\/2 + 3*v - 34. Determine 4*f(o) + 11*z(o).\nAnswer: -2*o**3 - 3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3181 is divided by (-1 + (-6)\/(-9))\/(39\/(-10062))?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 2\/19, 1\/5, -1 in descending order.\nAnswer: 10, 1\/5, 2\/19, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 672 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001028 rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 17\/(2\/50*5). Let o = h + -45. Round o to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 9 = 16. Let w = 19 - -17. Suppose 0*j + j + w = 5*b, j - 20 = -3*b. Calculate the greatest common divisor of b and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 67416?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 0.2 (c) -0.4 (d) 409.72 (e) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 7 (c) -0.11 (d) -0.3 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11778 is divided by 11019?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2284 + 218?\nAnswer: 2502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 5*v**2. Let z be (3 + 891\/(-300))*1180\/2124. Let y(b) be the third derivative of z*b**5 + 0*b**3 + 22*b**2 + 0*b**4 + 0*b + 0. Calculate y(q(s)).\nAnswer: 25*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3*c + 77198 = -202814, 560012 = 2*a - 3*c. What is a rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9950?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -215 + 230. Let x(q) = 5*q - 3. Let f be x(s). What is the greatest common divisor of 120 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/255*6\/(-2)*75\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 9*l**2 + 219*l + 1980. Calculate f(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xf when two letters picked without replacement from xxfqfxxxc.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(10\/9)*o*o**(-22)*o)**33 assuming o is positive.\nAnswer: o**(-1870\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 2*w + 7 = -b, -20*w - 100 = 5*w for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1125 and 243?\nAnswer: 30375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6039, 6059, 6079?\n\"Answer: 20*w + 6019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - 2*r + 32, -o - 3245*r + 3243*r - 16 = 0 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1521 and 247.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**8\/b)\/b**(-6\/7) assuming b is positive.\nAnswer: b**(55\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1828999577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1867*f**3*s*y**2 + 56*f**2*s*y**2 - 2*f**2*s - 9*s wrt f?\nAnswer: 11202*s*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 8*j**2 + 6*j - 4. Let u be i(7). Let n = u + 13. Calculate the greatest common divisor of n and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = -5*k + 39. Is (-30)\/(k\/5 - -3 - 2) a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 671729.7 days in milliseconds?\nAnswer: 58037446080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**3 - 8*a**3 + a**3 + (-24*a**3 + 54*a**3 - 22*a**3)*(-19 + 33 - 17) to the form c + w*a**3 + r*a + o*a**2 and give w.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 3*s + 5, 0 = 4*s + 29 - 9 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2736, 2719, 2702, 2685, 2668, 2651?\nAnswer: 2634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 45 = -5*q, 3*d + 5*q = -1598 + 1553 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2*l - 1 + 5*l - l - 2*l + (-5*l + 2*l + 4*l)*(-4 + 4 + 1))*(44 + l + 176 + 76) as o + m*l + a*l**2 and give m.\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 22. Let v = l + 8.02. Let f = 0.01999997 - v. What is f rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 32 = -4*h. Let d(n) = -n + 8. Let s be d(h). Suppose s = 3*v - 40 - 23. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (-7 + (17 - 14))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/4 of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 173 (b) -0.1 (c) 0.4 (d) 2 (e) 1 (f) 36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-280)\/160*(-9)\/(-21)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 11. Let t = -2 + h. Suppose 5*o = -5*g + 33 + 127, t*o + 5*g = 55. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 6 = z - 3*d, 15 = 5*d. Suppose -4 + 1 = -z*x. Is 4\/9 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) -1.52 (c) 0.221\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - (sqrt(77)*-5*-4 + sqrt(77)) - sqrt(77))\/sqrt(11) + sqrt(21)\/(sqrt(18)\/(sqrt(24)\/sqrt(4))).\nAnswer: -20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 136 by 34.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k**3*w - k**3 + 88*w + 2 with respect to w.\nAnswer: -2*k**3 + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -106*j**3 + 261*j**2 - 186905*j.\nAnswer: -636*j + 522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159 - 63 = -4*n. Let p be n*(-4)\/(-1 - 7). What is the third smallest value in -2, 2\/5, p?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310 = -t + 192. Suppose 2*v - 128 = -w, 4*w - 4*v + 7*v = t. Let y be w\/6 - 2\/(-6). Solve -r - 4*d = y, -4*r - 4 + 20 = -4*d for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - -6*(-2)\/(-3). Let o = 45 - 32. Suppose -h*q + o = -19. Are q and 8 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0000076 + 0. What is s rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4228, 3182, 1564, -626, -3388, -6722?\nAnswer: -10628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 945*u**2 - 344*u**2 - 309*u**2 - 321*u**2.\nAnswer: -29*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 390 - 266. Let b = m - -48. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*a**2 + 8*a**2 + 5*a + 0*a**2 - 5*a.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7685*m - 11796*m - 22279*m.\nAnswer: -41760*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/15*(-46)\/(-1). Let l = -47\/5 - o. Which is the third smallest value? (a) 4 (b) -0.3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4015 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 5) to base 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/1024338 and 46\/219501.\nAnswer: 3073014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 134 + -104. What is the lowest common multiple of 12 and q\/(-36) - 371\/(-42)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -4. Suppose 0*w + 5 = -w, 0 = -4*c + 4*w + 20. Suppose 0 = -c*n - 2*n. What is the nearest to n in u, 2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 14*n + 22. Let v(q) = q**2 + 7*q - 18. Let m = -5 + -5. Let t be v(m). Let b be p(t). Which is smaller: b or -22\/9?\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -10*d + 15*d + 75, 0 = i - 1. What is the remainder when 36 is divided by 6 + (-35)\/d*(-1 + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1983 a factor of 24904497?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (16\/(-10))\/(8\/(-1280)). Let q = 26 + h. Is (4\/(-12))\/((-2)\/q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -8*o + 1. Let m(z) be the third derivative of -11*z**5\/60 + z**4\/12 - 1564*z**2 + z - 1. What is h(m(i))?\nAnswer: 88*i**2 - 16*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**3\/9 - 39740*s**2\/9 - 528800*s\/3 = 0 for s.\nAnswer: -19830, -40, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 90, 207, 324?\n\"Answer: 117*r - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 0.2. Let g = 2.1 - r. What is the smallest value in g, 2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*i**4 - 3*i**4 - 2*i**4)*(2 + 0 - 1) - 9*i**4 + 0*i + 0*i to l*i + h*i**4 + m + k*i**2 + w*i**3 and give h.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -42, -62, -76?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11998255 is divided by 1254.\nAnswer: 1237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**2 - 78*x - 451. Let m be t(-7). Which is the nearest to -30? (a) m (b) 1 (c) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*n = 42*n + 2. Suppose -5*i - 12 = -4*j - 7*i, n*j = 2*i. Solve -5*x + j = -3*d - 4*x, d + 2*x + 10 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 3*c**2 + 6*c + 38. Let b be o(7). List the prime factors of ((-19)\/5)\/(36\/45)*b.\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2*q**2\/7 + 7286*q\/7 - 2216360\/7 = 0.\nAnswer: 335, 3308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.652348 rounded to three decimal places?\nAnswer: 0.652","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(3\/7))\/k**(1\/6))\/(((k\/(k*k*k**(1\/5)))\/k)\/(k\/k**(2\/9))) assuming k is positive.\nAnswer: k**(2671\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -4*i, 6 = -2*w - 0*i + i for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -948\/7 + 135. Let s = 4035563\/120 - 33630. Calculate the common denominator of s and r.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-231)\/(-56) - 1\/8. Suppose -l*a + 12 = -2*a. Calculate the smallest common multiple of 2 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 383329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 7*s**2 + 2*s - 9. Let r(t) = 17*t - 112. Let i be r(7). Determine h(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 14 = -5*s, 16*j + s - 10 = 14*j. Suppose 0 = 4*g - 4*h - 356, 0*g + h - 193 = -2*g. Suppose -g + 376 = j*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -40211 and -40210 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times -3549097?\nAnswer: -31941873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 - 2424 = 120*v for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/21 and 32\/83475.\nAnswer: 83475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -1\/84*b**7 - 2*b - 3\/20*b**5 + 0*b**2 + 0 - 1\/15*b**6 - 1\/12*b**3 - 1\/6*b**4. Factor q(p).\nAnswer: -p*(p + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 32 + 14. Let d = q - -43. Suppose 214 = 2*z + d. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 107651 and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -294 - 57 = 3*j. What is the hundreds digit of (-32)\/(-1)*j\/(-26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 9 + 1. Let b = -12 - j. Is (8\/b)\/((-4)\/20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/3*o**4 - 79\/3*o**2 - 14 - 103\/3*o - 17\/3*o**3 = 0.\nAnswer: -2, -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -2. Solve -4*f - 4*b = 0, -z = -2*f - 3*f - 3*b for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*g - 14*g - 8*g + 130245*g**3.\nAnswer: 130245*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 13131807*q + 2053. Let j be a(21). Round j to the nearest 1000000.\nAnswer: 276000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-30*10\/2)\/(10\/(-16 - -6)) is divided by 98?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**3 + 9*k**2 + 4*k - 4. Let w be n(-4). What is the remainder when 47 is divided by ((-252)\/w)\/3 - 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine quarters of a meter in millimeters?\nAnswer: 7250","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 11. Let g(u) = -9213 + 18434 + 4*u**2 - 9218 - u**3 - 3*u. Give g(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-278)\/40 + (3045\/58)\/21 and 31\/(-6)*(-36)\/40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 726819 is divided by 6264?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 13\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -4*d + 3*i, -16*i = -12*i + 20. Calculate the least common multiple of d and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-13)\/((-234)\/27)*-2. Let q = -1751 - -725. List the prime factors of (1\/2)\/(b\/q).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 101.211 + -0.211. Let v = -100 + d. What is the second smallest value in 8, v, -0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 11*q**2 + 4*q + 9. Determine r(10).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*n + 73966 - 99*n - 73966.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*r - 4*s, 5*r + 5*s - 2*s + 2 = 0. Let y(o) = o - o - o**2 - 2*o**r. Let i(v) = v. Determine y(i(u)).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -9036*g + 117729. What is z(13)?\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/(-3)*24\/(-28). Suppose -4*g + 370 = -c, 4*g = 2*g + o*c + 192. Suppose -2*v + v + 86 = 3*q, v + 5*q = g. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 2*p - 18, 2*k + 3*k = 2*p. Let y be k\/(-8) + (-2)\/(-8). Suppose -5*a + 5*g = -35, 3*a - 2*g = -y*a + 20. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 10:12 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-112)\/(-34))\/((-32818)\/836859).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*k - 4260, 3*t - 7101 = -2*k - 3*k. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 10:17 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-20)*3)\/(60\/(-1950)*-26)\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57\/44 + -6\/11. Let p = 0.05 - 9.05. Let w = p + 5. What is the nearest to 0 in -1, q, w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -5. Suppose -3*a = 5*r - 0*r - 23, 5*a = -4*r + 21. Let c(y) = 12*y - 778. Let o be c(65). Solve o*w - r = -z for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - o**2 - 29*o + 3. What is q(5)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*q**4 + 3*q**2*x**3 - 11*q**2*x**2 - 4*q*x**3 + 10*q wrt q.\nAnswer: -36*q**2 + 6*x**3 - 22*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 201 - 195. Let q(t) be the first derivative of -8\/5*t**5 - 7\/2*t**2 - j*t**3 - t - 5*t**4 + 5. What is m in q(m) = 0?\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -6 - 2 - 10*c + 3 + 4. Let m(x) be the first derivative of x**3\/3 + 3*x**2\/2 + x - 2. Let n be m(-2). Determine f(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/88 + 4\/(-16). Let g = -10\/7 - -33\/28. What is the second smallest value in z, g, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 798 and 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24157636655 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -360 by 4.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.5041 bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 133 - 181. Is 26 a factor of ((-271)\/(-2))\/(3*(-8)\/u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2021 - 485 = 0. Let b = -844 + f. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - -2*(-10)\/(-4). Let j(p) = 2*p**3 - p**2 + 3*p - 3. Let f be (1 - 9\/2)*(-4)\/7. Let t be j(f). Solve 4*u - 4 = 2*b, -b - k*u - t = 2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*z**3 - 7*z**4 + 8*z**3 + 2*z**4 - 2*z**4 + 2*z**4 + (-4*z**2 + 2*z**4 + 4*z**2)*(-2 + 1 + 2).\nAnswer: -3*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -471.\nAnswer: -1\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-6) + (-21)\/14?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -p - 4, -13 = -2*m + 3*p for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 14 + 18664\nAnswer: 18678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000261 rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-6)*-14)\/(3\/((-138)\/161)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44732 + 403022\/9. Let t = 4345\/72 - v. Calculate the common denominator of t and -33\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2945 + -13.2945. Let a = 4 - 4.3. Let t = a + 0. Sort t, -5, 0.3, m.\nAnswer: m, -5, t, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159 divided by 5.\nAnswer: 159\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2 + 2 - 9*h**2. Let y(a) be the first derivative of -1\/3*a**3 + 0*a**2 + 0*a + 6. Give y(d(v)).\nAnswer: -81*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 1. Let z be (-8)\/(-48) - 46\/(-12). Suppose s - 3*s + z = 0. Let w(i) = -i**3 + 4*i**2 + 2*i - 2. Suppose -2*t - 3 = t. Give s*c(n) + t*w(n).\nAnswer: n**3 - 2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 584 = a + 4*s - s, 2*a - 4*s = 1118. What are the prime factors of a?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -5*a**4\/12 - a**3\/3 - a**2\/2 + a. Let n = 11 - 5. Let c be -1*2\/n*3. What is r(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 466722257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 299423812 and 228.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -637374, -637372, -637370, -637368, -637366, -637364?\nAnswer: -637362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-3) - (-15)\/27*378\/315?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vddvqvenqnevnni. What is prob of picking 2 q?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 2464*o + 4924. Give j(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -285*h + 44. Is t(-37) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -6*n + 73. Let t be r(9). Solve t*u = 28*u - 18 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a**2 - 5*a. Suppose -3 = w - 5. Let s(m) = 6*m - 5*m**w - 5 + 5. Give 6*b(v) + 5*s(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41489631 and 207?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/321 and -7\/6.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.992 times 7?\nAnswer: 6.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -555\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -282 by 141.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + (-2 - -4)*38. Suppose -10 = -2*o - 12. Let s be 715\/n - o\/(-6). Does s = 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32*-19181\nAnswer: -613792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/3467 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 10:04 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.1 + -2. Let t = 28.5 + -31. Let q = t + 2.2. What is the smallest value in q, d, 23?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.080817728 to three decimal places.\nAnswer: 0.081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of p**5\/20 + p**3\/6 - 11*p**2\/2 + 6*p. Let j = -2 + 2. Give h(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -2, -0.06, 2 in decreasing order.\nAnswer: 2, 3\/5, -0.06, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 3:52 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 25\/4 of a millimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29 (base 13) to base 8.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -10110000100?\nAnswer: -10110000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 471553642 to the power of 1\/2, to the nearest integer?\nAnswer: 21715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, u: 2}. What is prob of picking 1 t and 1 u?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1745082 and 0.489.\nAnswer: 0.6635082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 0 - 18 = 5*k, k = -3*l - 7. Let s = -4 - k. Solve -z - 1 - 3 = s for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 168 = -4*p. Let y = p + 107. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8208)*1*-4)\/(1*sqrt(15)\/(sqrt(5)*-2)).\nAnswer: 96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -9*t**2 + 2*t + 1. Let j(y) = -8*y**2 + y + 1. Let p(u) = 2*d(u) - 3*j(u). Let k be p(1). Solve 3*v = q - 6*q - k, -q - v - 2 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04629271 to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 5)\/12*12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2469 = -5*l - u + 6273, -2*u = 4*l - 6990. Suppose 0*o + 3*o - l = 0. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 8199 + 3583. Let j = -165033\/28 - s. Let r = 2330 - 51243\/22. Calculate the common denominator of r and j.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 652667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*v + 9909 + 34*v - 9878.\nAnswer: 53*v + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -138*12\/192*17\/(102\/4)?\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -10*r**2 - 2836*r. Let x be a(0). Factor x*v**2 + 4\/9*v**3 - 2\/9*v**5 - 2\/9*v + 0*v**4 + 0.\nAnswer: -2*v*(v - 1)**2*(v + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*5*-2*(-6*sqrt(128) - sqrt(128)).\nAnswer: -1 + 1120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2722\/(-54440)*3\/9.\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -3, 3 in increasing order.\nAnswer: -3, -1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5936\/23 + 258. Let u = -0.023 - 0.977. What is the second biggest value in s, 0.4, u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 1. Let c(y) = -8*y**3 - 6*y**2 + 6. Let g = -356 + 357. What is g*c(j) + 6*h(j)?\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -412795.55 * 0.16\nAnswer: -66047.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.09 - -0.0894. What is r rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13388 + 13388.5. Which is the smallest value? (a) -0.51 (b) m (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = m + 6, 10 = 4*m - 2. What is the remainder when (2\/4)\/(6\/588) is divided by (j - 2)\/((-1)\/(-17))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yax when three letters picked without replacement from {y: 2, a: 1, x: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**3 + 1 + 2 + q + 0*q**3 + 1 to the form d*q + j*q**3 + x + s*q**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -860.8\nAnswer: 172.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 6:09 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-5*sqrt(10)\/((2*sqrt(5) - sqrt(5)) + sqrt(5) - sqrt(5)))**2 + ((sqrt(96)*-1)\/sqrt(12))\/sqrt(4) + 5)*-1 + 2.\nAnswer: -5*sqrt(2) + 277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43402 (base 5) to base 8.\nAnswer: -5641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(6\/7)*r\/((r*r**(-8))\/r)*r**(-1\/2)\/(r\/(r\/(r**(2\/13)\/r*r))) assuming r is positive.\nAnswer: r**(1675\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + ((-53802)\/4802 - -10)\/((-2)\/18).\nAnswer: -8\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i**3 - 41995*i**2 - 106802395*i - 73485864725 = 0 for i.\nAnswer: -3647, -1105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 0*l + 3*l)*(4 + 4*l - 4).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of 0*r**2 + 1\/21*r**7 + 0 + 0*r**5 + 4*r - 5\/6*r**3 + 0*r**4 + 0*r**6. What is the second derivative of f(v) wrt v?\nAnswer: 40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -284 - -77. Let i = 443\/2 + q. Let p = i + -12. What is the common denominator of p and -62\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 104*s + 396. What are the prime factors of y(28)?\nAnswer: 2, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(1\/(-4) - (-11)\/28). Let s = k + -54. What is the second biggest value in -1\/3, s, 0.1, -2\/15?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*b + 6446 - 1096 = 0. Suppose 0 = -36*t - 70 + b. Solve -6*m = -2*m - t for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/2640 and -19\/1320.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-3 - -7 - (-11 - (-32 + -5))).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3168\/(-40)*(-7 - ((-220)\/(-8) - -8)). Calculate the greatest common divisor of 6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -149.760758 and 347.\nAnswer: 197.239242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -122700 to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5349 + -5345. Let k(t) = t**3 - 3*t**2 - t - 3. What is k(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z - 3*z + 3*z + (10*z - 9 + 9)*(-6 + 2 + 2).\nAnswer: -17*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-140)*(-10255)\/(-586).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 8 = 4. What is the tens digit of (-60)\/9*(-2 - r\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m = g + 8*m + 5, 2*m = 2*g + 10. Sort -2, -20, g in decreasing order.\nAnswer: -2, g, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -v**4 - 11*v**3 - 3*v**2 - 1499 - 97*v**3 - 9*v**3 + 31*v**3 - 17*v**3 with respect to v.\nAnswer: -4*v**3 - 309*v**2 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.65 - 11.5. What is the nearest to -1 in -5, z, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p + 3. Let i be z(3). Let s be ((-17)\/(85\/216))\/((-1)\/(-5)). Let m be 870\/s + 4 - (-2)\/8. Which is the second smallest value? (a) m (b) 2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 427208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 448?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 677 is divided by 220?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 3014792.\nAnswer: 1\/376849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 3*r + 5. Let o be l(-4). Let h(f) = 7*f**2 - 11*f + 11. Is h(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 13*m**2 - 4*m - 59. What is n(-13)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 0 + sqrt(1573))**2 + -4)*3 + ((sqrt(1573) + 0 - sqrt(1573))*2 + 3)*-2 + -5.\nAnswer: -198*sqrt(13) + 4723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = t - 4. Let q be 5\/(1 - 0) - (-2931 + 2931). Sort q, -5, -4, t in descending order.\nAnswer: q, t, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 6*r - 5. Let q(y) = 5*y - 4. Let c(z) = -3*k(z) + 2*q(z). Let v(l) = -7*l + 6. Let o(h) = -2*c(h) + 3*v(h). Suppose -14 = -3*g - 5. Calculate o(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1552)\/291 - (-1 - (3 + 1)))*-18.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -485\/4 in 3\/8, -4, 1\/4, -63?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 2624679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 - -100011001?\nAnswer: 100001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + 12. Suppose -4*u + 1448 = 3*g, -714 = -2*u - 0*g + g. Let j = u - 342. What is the remainder when q is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - ((-121 - -123) + (0 - -9))) + -1?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4636*a - 4617*a - 4655*a + 13864*a.\nAnswer: -44*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in 0.1, 2\/9, -2\/57?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2589, -2592, -2591, -2580, -2553?\nAnswer: -2504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2. Let t(u) = 16583*u. Calculate s(t(j)).\nAnswer: -274995889*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p - 78*p - 50*p to the form k + q*p and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 52*t - 6. Let p be v(3). Suppose r - p = -2*r. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*f**4 + f**4 + 11*f**4)*(61 - 81 + 44) to the form a*f**3 + r*f**4 + s*f**2 + o + i*f and give r.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8.796 and -0.4.\nAnswer: -9.196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (15\/100)\/((-9)\/8). Let n = 1.4 + -0.4. Let u = 4.8 - 5. Sort j, n, u in decreasing order.\nAnswer: n, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/29)*q*q*q\/q**18)\/((q*q**13*q)\/q**(-16)) assuming q is positive.\nAnswer: q**(-1333\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 6*s + 2. Let t(w) = 2*w**2 + 13*w - 10. Let p(a) = a**3 + 7*a**2 + 2*a + 7. Let k be p(-7). Let y be t(k). Determine h(y).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78835, 78773, 78707, 78637, 78563, 78485, 78403?\nAnswer: 78317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.019 and -23.7834.\nAnswer: 0.4518846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -61. Let v be -3*(-10)\/l*-3. Suppose 5*m = -v*p - 10, -3*m + 8*m = 2*p - 30. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**2 - 2*x**3 + 5 + 0*x**2 + 9*x**2 + x**3 + 7*x. Give l(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38a (base 14) to base 11.\nAnswer: -596","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (20\/15)\/((-4)\/(-6)). Suppose -2*w - u - 282 = -4*w, 0 = -l*w + 5*u + 298. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6901 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -191308, -191307, -191306, -191305, -191304, -191303?\nAnswer: -191302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 812 and 174?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**2 + 11. Let d be n(3). Suppose 5*c + 56 - 11 = 0. Which is smaller: c or d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {o: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -90 + 97. Solve -4*z + x*z - 6 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.04 (b) -44 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4997 + -941716796.\nAnswer: -941711799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.84 + 0.16. Let c = 2.35 + -2.85. What is the third biggest value in 0, c, v, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + 319\/(-33) + -14*1?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qxexxxxkxhhheqhhqakx. What is prob of picking 2 k and 1 e?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 27200.67 rounded to the nearest 1000?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*d + 1534002 = 0, -4*u + 2*d - 753602 = -3821600. What is u rounded to the nearest 10000?\nAnswer: 770000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 10*f**2 - 7*f + 10. Let x be r(-9). Let l = x + 10. Put l, 1, 6 in decreasing order.\nAnswer: 6, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -569 in -434, -4, -0.08, 0?\nAnswer: -434","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 26\/285 in decreasing order.\nAnswer: 26\/285, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 202\/11, -2\/9, -4, -5.\nAnswer: -5, -4, -2\/9, 202\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.86 + -2.85999819. Round s to seven decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 9:28 PM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1950\/100 - (-1)\/2 and 36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 125.4 + -128.2. Let b = -0.21 - -1.31. Let u = b + f. What is the second biggest value in u, -1\/8, 0.1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 434 = 2. What is the remainder when 53 is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 987*n - 3*q + 41 = 982*n + q, 0 = 2*n - 2*q - 4*q + 78 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/10982 and -81\/28.\nAnswer: 153748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, u: 10, p: 5}. Give prob of sequence lu.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7045 + 7053.0048. Let o = 7.89 - -0.11. Let r = o - u. Round r to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -153 + 206. Calculate the remainder when 105 is divided by y.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -17, -12, -15, -32, -69, -132, -227, -360?\n\"Answer: -n**3 + 2*n**2 + 6*n - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 89027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*d - 33*d - 22*d = 648 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 divided by -2119?\nAnswer: -75\/2119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 49 (base 16) to base 15\nAnswer: 4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/25)\/((-6)\/(-5))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 85\/10 - 1\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 221, 412, 533, 542, 397?\n\"Answer: -7*q**3 + 7*q**2 + 219*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 5*d - 71 + 6, -5*m = -2*d + 56. Let p be (-34)\/m + (-4)\/10. Suppose -1 + 85 = p*c + 3*u, 2*c - u - 53 = 0. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xwr. What is prob of picking 1 r, 1 x, and 1 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 18*c**2 - 1. Let d(l) = l**3 - 43*l**2 - 145. Give -d(k) + 3*z(k).\nAnswer: 2*k**3 - 11*k**2 + 142","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-26 - -25 - (-9)\/3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 40 - 162 = -5*d, -5*d - 74 = -p. Let j = p - 119. Let q = -19 - j. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3926 divided by 83?\nAnswer: -3926\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 2*b + 35. Let i be d(7). What is the third derivative of 3 - 154*t**3 + i + 144*t**3 - 10*t**2 wrt t?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 8*d - 6*d + f, -5*d = -4*f - 42. Let s(t) = 2*t**2 - 6*t + 8. Let y(r) = -3*r**2 + 7*r - 9. Determine d*y(k) + 7*s(k).\nAnswer: -4*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 533 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 j = -31690 + 31692. What is the fourth smallest value in 2\/5, -0.09, j, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-60)\/(-35))\/((-2)\/(-14)). Suppose -n - 8 = -5*f. Sort f, 0, -3 in decreasing order.\nAnswer: f, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 11*h**3 + 25*h**2 - 10*h - 1. Let p(b) = 5*b**2 - 2*b - 1. Let m(j) = 5*p(j) - x(j). Let q(v) = 33*v**3 + 11. Determine -11*m(s) - 4*q(s).\nAnswer: -11*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-122)\/(-10) - 1)\/(((-13680)\/(-114))\/(-600))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p - 1. Let b(v) = -v - 3. Let h be b(-12). Suppose 10*n + 24 = h*n. Let l(f) = -4*f**3 - 24*f - 24. Give n*z(x) + l(x).\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/483399 and -167\/882?\nAnswer: 6767586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.04 - 1.96. Let h = -1074 + 1078. Let n be -2*2*10\/8. Which is the closest to q? (a) 2 (b) n (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -89*c**4 + 19*c**2 + 953 wrt c?\nAnswer: -356*c**3 + 38*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -145 + 158. Calculate the highest common factor of x and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 567 a factor of 2407488062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3))**(-1\/5)\/(i**(-1)\/i)**5)**(-9) assuming i is positive.\nAnswer: i**(-477\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/6578 and 97\/63778?\nAnswer: 1466894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13924136713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93647142?\nAnswer: 2, 3, 5202619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-2))\/((-1)\/(-8)*-18)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of c**7\/105 + c**6\/60 - 8*c**5\/15 + 5*c**4\/3 - 8*c**2 - 3*c. Find d such that i(d) = 0.\nAnswer: -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 6*b - 5. Let r = -714 - -275. Let u = -444 - r. Calculate d(u).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 8, -1\/6, 24, 30\/19, 5 in decreasing order.\nAnswer: 24, 8, 5, 3, 30\/19, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -21, -0.2, -1\/2, 53, -1.\nAnswer: -21, -13, -1, -1\/2, -0.2, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.9 + -2.9. Let b = 1437 + -1373. Sort q, -1\/3, b in ascending order.\nAnswer: q, -1\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 645613?\nAnswer: 37, 17449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -184. Let p = y + 178. Factor 0 + 0*m - 2\/9*m**3 + 0*m**2 + p*m**4 + 2\/9*m**5.\nAnswer: 2*m**3*(m - 1)*(m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeed when four letters picked without replacement from {d: 2, e: 6}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 233609341 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 12:24 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/(-24) - (-268)\/6. Suppose 0 = -4*o - 5*d - 3 + 2, 0 = -4*o + 4*d + m. What is the highest common divisor of 66 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8913 - -8912.9. What is the second smallest value in -0.5, 2, -81, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1567 + 3*c + 664*c**2 + 457*c**2 - 290*c**2 + 201*c**2 wrt c?\nAnswer: 2064*c + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + -10 - (-58 + 114 + -107)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(50) + -1 + sqrt(800) + (sqrt(2) - (-3 + sqrt(2))) + 2 + 1 + sqrt(2) + 3)**2.\nAnswer: 208*sqrt(2) + 1368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 295645, 295646, 295647, 295648, 295649?\n\"Answer: b + 295644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 888 by -33.\nAnswer: -296\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2101 + -1?\nAnswer: -2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s + 2. Let t(w) = -2*w - 87. Let p(n) = -t(n) + 3*y(n). Let m(c) = c**2. Determine m(p(d)).\nAnswer: d**2 - 186*d + 8649","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from efnfcoos. What is prob of picking 1 n and 1 s?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 20, -1, -92, 161 in decreasing order.\nAnswer: 161, 20, 3, -1, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 357565 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 5*t - 178 = 0, -3*x + 2*t - t + 202 = 0. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 equal to 1582?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 0*h**2 + h + 4*h - 2 - 5*h**2 + 6*h**2. Let q be z(-6). What is the second derivative of 6*w**4 - w**q + w**4 - 6*w wrt w?\nAnswer: 72*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**2*m*q + 17889*b**2*m - 61*b*m*q - b*m - 2*m - 223*q wrt b.\nAnswer: 4*m*q + 35778*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.2, -13.2, 2\/17, -7, -0.5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 714.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 36\/1998*(-6)\/2*2\/4\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from ajmammrwajh.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - 2*a + (-4 + 0 + 19)*(-2*a + 0*a + 0*a + (0 + 3 - 4 + (-398 + 519 - 2160)*(-1 + 0 + 2))*(1 - 2*a - 1)).\nAnswer: 61168*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.85 - 785.85. Let x = 783.9 + w. Which is the third biggest value? (a) x (b) 0.11 (c) -1\/4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 12:14 PM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v + 3*v + v**2 + (3*v + v - 3*v)*(-4*v + 3*v + 2*v) + v**2 + v - v + (-1 + 0 - 1)*(-12 + 12 + 7*v**2).\nAnswer: -11*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18459 + 18459.035971. Round d to 3 decimal places.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 14*q**2 - 12*q - 8. What is s(15)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 2332?\nAnswer: -2331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 40698 and -13.\nAnswer: -529074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7429 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1917*r - 1942*r + 3838*r.\nAnswer: -21*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(81)\/sqrt(27)*-3)**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/9)\/(g**(-2\/9)\/g))\/(((((g\/g**(-3\/11))\/g)\/g)\/g)\/(g**3\/g)))**37 assuming g is positive.\nAnswer: g**(17723\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*x**2 - 13*x + 13*x)*(-81 - x + 145 - 23).\nAnswer: 25*x**3 - 1025*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -67, 2\/33 in ascending order.\nAnswer: -67, -1, 2\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 5:40 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.5, -5, -0.618?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -3. Suppose 14 = n*v - 43. List the prime factors of v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3351594.\nAnswer: 2, 3, 558599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1610 is divided by 1330.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114243 is divided by 133?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/6*96\/(-32)*36\/2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**2)\/u)**30 assuming u is positive.\nAnswer: u**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 77\/76 (b) 1 (c) 0.2 (d) 0.02 (e) 0.59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 1461723.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 556 and -86.\nAnswer: -47816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/(95448\/190864 + (-3)\/6)?\nAnswer: 79, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 3 - (-5 - -7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1385 - -1565. Calculate the highest common factor of i and 252.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 865 - 868. Which is the second smallest value? (a) w (b) -9 (c) 5 (d) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxp when three letters picked without replacement from fxfpffpfxpdfffddfd?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-2)*(78 + 4). Suppose 4*v + 3*t - 2 = l, 4*v + 5*t = 45. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20*62\/(18600\/180)*(-5)\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Express -1737*c**2 + 88*c**2 - 2 - 1152*c**2 + 259*c**2 as b*c**2 + m*c + x and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.6029 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 + (11 - -8 - 14)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 1. Let v(t) = -6*t**2 + 3. Let k(l) = -5*s(l) - v(l). Let x be k(0). Solve -x*w = 3 - 7 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 + 10 = -13*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/4)\/((-54)\/432)*3\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1939.83166022774 - 4.16832386226. Let m = t - -1944. What is m rounded to six dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12389 and -3.23.\nAnswer: 40016.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-57)\/(-76))\/(6\/4)*-10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32286 - -1355793.186?\nAnswer: 1388079.186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from {s: 3, d: 11}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7346.5 rounded to the nearest 10?\nAnswer: -7350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 6 - 14 = -4*u, -5*m - 3*u = -15. Let i be (-5)\/15*m + 264. Suppose -i - 931 = -5*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g**(-1)*g)\/g)**(-29)*((g\/g**(-4))\/g)\/((g*g*g**5*g)\/g))**37)**(2\/21) assuming g is positive.\nAnswer: g**(1924\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 601 (base 14) to base 7.\nAnswer: 3301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9821 plus -6?\nAnswer: 9815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = j + 10. Suppose 3*h + 5*a - 3 = 0, -9*h + 8*h + 4*a + 35 = 0. Is j bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-552)\/(-3726)*(-3)\/1\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -674 - -1623. Calculate the greatest common divisor of j and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 + -49.8. Let f = 1173 + -1141. Which is the third biggest value? (a) f (b) h (c) 0 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2016?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4512761147?\nAnswer: 419, 10770313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 248 or 2305?\nAnswer: 248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8365941?\nAnswer: 3, 929549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3293, 3294, 3295?\n\"Answer: j + 3292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -35 + 739?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 74241*q - 742873. What is y(10)?\nAnswer: -463","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -5*i - 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 divided by 920850?\nAnswer: -53\/920850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5564749661 rounded to 2 dps?\nAnswer: -0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9987521*q**3 + q**2 - 12*q + 1157 wrt q?\nAnswer: -59925126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1020 (base 4) to base 3.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3036\/(-7590))\/(((-12)\/15)\/((-28)\/(-2))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**5 + 20*h**4 - 22*h**3 - 184*h**2 + 344*h - 160 = 0. What is h?\nAnswer: -10, -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -413*k + 49*k + 364*k - 2*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4790*y**2 + 4*y + 4. Let c(w) = 6629371*w**2 - 5537*w - 5537. Give 4*c(h) + 5537*m(h).\nAnswer: -4746*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1840 and 292928.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7, 91, 5, 88, -2 in descending order.\nAnswer: 91, 88, 7, 5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 55.5908097?\nAnswer: -50.5908097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -5*h**4 - 220*h**3 + 3225*h**2 - 7560*h = 0.\nAnswer: -56, 0, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -334932*j = -335961*j + 10290 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, i: 9}. What is prob of sequence ie?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) -3 (b) 2 (c) 0.87\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/8 + 315\/56. Let c be 77\/(-44) + (d\/(-8))\/3. Which is smaller: c or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34135*h - 34127*h + 160 = 0 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228382 is divided by 72.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 0. Let w(v) = 2*v + g*v + 3*v. Let f(y) = -y**2. Determine f(w(h)).\nAnswer: -49*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -16*m**2 + 93*m + 19. Let y be n(6). What is the smallest value in -7, y, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -7*d - 2. Suppose 8*r - 9 = 7. Let v = r + 2. What is the remainder when p(-3) is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 5*b + w, 5*b + 20 = 4*w + w. Suppose -16*k + 268 = -164. Let l = b + k. Is l a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**2\/3 - 3038*a + 18204 = 0.\nAnswer: 6, 4551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 415, 388, 367, 346, 319?\nAnswer: 280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 328196932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3. Let u(m) = m - 1. What is -r(k) + 5*u(k)?\nAnswer: 5*k - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 6*a**2 - 4*a + 4. Let r(c) = c**3 - c**2 + 1. Let k(n) = 2*r(n) - w(n). Suppose -24*f + 3625 - 20353 = 0. Let d = f - -693. Give k(d).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 41704, 166816, 375342, 667282, 1042636, 1501404?\n\"Answer: 41707*m**2 - 9*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*q + 8 = 51*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4811 - -4826. Let l be (0 - 1)*-2 + 1. Suppose 4*o - 5*z - 520 = 0, 5*o + l*z = 3*o + 282. Calculate the highest common factor of o and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2688137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q + 2*q + 3*q)*(q - 1 + 1)*(4 - 3 - 3) in the form v*q**2 + h*q + b and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**3 - 100*k**2 - 670*k - 146. Give s(56).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -4, 1\/515, 4, -6?\nAnswer: 1\/515","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**2. Let b(t) = -3*t - 4 + 7 - 3. What is b(o(v))?\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -3679.\nAnswer: 2\/3679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5143709531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4096 by 3.\nAnswer: -4096\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.715 + -5.715. Which is smaller: 2.9 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjj when four letters picked without replacement from jjjjjjja?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*t - 5*t + 4*w + 10, 4*t + 10 = -3*w for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4\/3, -0.1, 1\/3, -65, -0.4, 5\/8?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 + 3.2. Let n = -20 + 21.1. Let v = n - 0.9. Which is the nearest to -2? (a) y (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - -5. Let c = 12 - 7. Solve -z + 5 = -c*r - 0, 3*z = 4*r + b for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/3)\/((-1)\/(-3)). Calculate the remainder when 23 is divided by 11 - y - (0 + 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011111000 + 12?\nAnswer: 1011111012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, y: 7, n: 1, m: 4, h: 1}. Give prob of picking 1 m and 1 l.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**3 + 29*u**2 - 16*u + 13. Calculate the common denominator of p(14) and (194\/40)\/((-2)\/(-5)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45846542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4517619\/74120 - 5152\/85. Let s = 4\/109 + w. Find the common denominator of s and (1\/3)\/(20\/(-78)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18170395931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 3:20 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 11:58 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1320364 - 4016464. Round m to the nearest 100000.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206857?\nAnswer: 7, 29, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**12)\/p**(-26))\/(p**(14\/9))**(-2\/3))**(8\/5) assuming p is positive.\nAnswer: p**(3464\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 10. Let h be j\/10 - (-7)\/(-5). Let c = -5645\/3 - -1881. Which is smaller: c or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 940750 is divided by 236?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/8 - (-62)\/(-8). Let a = i - -12. Suppose 4*k = v + 61, 2*k = a*k + 5*v - 17. Calculate the least common multiple of 22 and k.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-4))\/((-14154)\/(-2696)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -5, -4\/17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10801406, 10801404, 10801402, 10801400, 10801398, 10801396?\n\"Answer: -2*y + 10801408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69645?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {c: 4, l: 2, g: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5221.11 - 5198. Let b = p - 23. Let y = -0.45 + b. Round y to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 5, -1, -1\/50?\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/342 and 151\/8077356.\nAnswer: 8077356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -91357*p**2 + 91357*p**2 - 547*p - 678*p**4 + 148*p wrt p.\nAnswer: -8136*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-28)\/(-6) + ((-12)\/9)\/2. Let o be (30\/x)\/3*(-10)\/(-5). Solve -2*l = -o*u + 20, 5*l + 17 = -7*u + 3*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -6*c**5 + 70*c**4 - 206*c**3 + 258*c**2 - 148*c + 32 = 0.\nAnswer: 2\/3, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32495?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39\/31 - -679\/589. Which is the closest to -0.2? (a) z (b) -4 (c) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*(-10)\/(-6)*1\/(-5). Suppose 4*o - 400 = 3*o - 5*k, p = 4*k - 4. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -634*u + 63 = -627*u. Let i(r) = -r**2 + 13*r - 8. Calculate i(u).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-1 + 6 + -2 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*x - 7*x + 70 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/26 and -87\/3328.\nAnswer: 3328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 0 + 3. Suppose -26 + i = 5*y, -3*y - 11 = m. Solve -5*p - 2 = -m*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223090 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7768417?\nAnswer: 163, 47659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15086, 31682, 48280, 64880, 81482?\nAnswer: 98086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-358 - -357) + (10 - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/171 and -71\/2439771?\nAnswer: 7319313","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 1212210?\nAnswer: -1212201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/5 - 3*3231\/(-770). Let n = z + -5\/231. Find the common denominator of n and 59\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 98*g*m*p + 4*g*m + 121*g + 763*m*p - 342*m wrt g.\nAnswer: 98*m*p + 4*m + 121","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttpppppttp. Give prob of picking 2 p.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1725384 (base 9) to base 2.\nAnswer: -11101010110101001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -15 - 25 + 29 + 4*i**2 + 3*i. Let r be s(-7). Calculate the greatest common factor of r and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.30645 weeks to hours.\nAnswer: 14331.4836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 65326871 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -252 - -256. Suppose d - 280 = -3*d. Suppose k*s - 2*s - d = 0. List the prime factors of s.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 21 + -526 + 275 + 366\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -40982 (base 13) to base 8\nAnswer: -342237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 22. Suppose 66*o - 13*o - 424 = 0. Let d = o - p. Solve 3 = 3*q - d*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + a - 2 + (5 + 20 + 5)*(1 - 1 - 1)*(-4*a + 6*a + 0*a + (3*a - 5*a + 4*a)*(11 + 60 - 154)).\nAnswer: 4921*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 531220527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -14 - 35 - (23 + -24)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.336848 rounded to zero dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j. Let h(z) = -z**2 + 3*z + 8. Let r(n) = -h(n) - 5*w(n). Give r(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by -4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 85 + 10. Let b = 30 + u. Let o = 5 - 0. What is the highest common divisor of o and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 12*m - 2. Calculate l(14).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**3 - 2135*l**2 - 3767*l - 606550. Give q(-1066).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 642135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 390811?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/6 and 35\/1542?\nAnswer: 1542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322 is divided by 81.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 474 and 11446434?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**2 - 6*k - 2. Let n(w) = 2*w**2 - 5*w - 1. Let m = -13 - -15. Suppose -t = m*t - 2*f + 1, 10 = 2*f. What is t*y(a) - 4*n(a)?\nAnswer: a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 5. Calculate the remainder when 21 is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/21? (a) -4 (b) 0 (c) 1\/3 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 154 - 151. Let z = 10 - 5. Put -0.4, j, z in ascending order.\nAnswer: -0.4, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 7 - 9*b - 1)*(590 - 17*b - 590).\nAnswer: 153*b**2 - 17*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10279 + 10315. Let p(i) = 2*i**2 - 70*i - 66. Calculate p(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 1880*c - 3760*c + 1878*c.\nAnswer: -2*c - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*z + 488*z**3 - 109*z + 37*z + 32*z.\nAnswer: 488*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 o when two letters picked without replacement from bbnbnbddlbobnd.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 4*p - 16 = 0, 2*u + 2*p = 5*u + 8 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -79, -321, -725, -1291, -2019, -2909?\n\"Answer: -81*a**2 + a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -126*g**4*h**2 - 11564*g**2*h**3 - 2569*h**3 - 2*h**2 - 11*h - 16 wrt g.\nAnswer: -504*g**3*h**2 - 23128*g*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 2*y - 14 = 4*o, 3*o - 9 = 3*y. Let t = 0.25 - 0.3. Let j = -0.25 + t. Put 2, o, j in descending order.\nAnswer: o, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 27 - 1\/6*b**3 - 1\/4*b**2 + 0*b. Factor t(k).\nAnswer: -k*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + -1 - -1) + (-3 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 1) + (-5 - -7). Suppose 5*q - k - 12 = 0. Let f be 6*(2\/q + 1). Solve 0*j - f = 2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -0.5 (c) 79 (d) -5 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/30*(-120)\/80*-2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0723756 rounded to 4 dps?\nAnswer: -0.0724","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 15*x**2 - 170*x + 3040. Determine s(16).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 3. Let y = 4 - 3. Let a = b + y. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 12:30 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -825688 greater than -825702?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4.4 or 0.58474?\nAnswer: 0.58474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -1 + 5 + i + 4*i. Let o be a(4). Let m = -3 - -6. What is the highest common factor of o and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -39794*r + 676486. What is l(17)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2. Let a(f) be the second derivative of -f**3\/6 - 3*f**2\/2 + 35*f. Let b(l) = -l - 2. Let n(k) = 2*a(k) - 3*b(k). Calculate j(n(o)).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 26*u - 4. Let p(z) = -z - 15. Let n(j) = 12*j + 210. Let t(g) = -n(g) - 14*p(g). Calculate w(t(h)).\nAnswer: 4*h**2 - 52*h - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thto. Give prob of picking 1 t and 1 o.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1036 - 2065 - 3*n**3 - 23*n**3 + 1029.\nAnswer: -26*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 60307373.\nAnswer: 4\/60307373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v + 118 - 118)*(21 - 21 + 5*v**2) + 96*v + 5*v**3 - 96*v.\nAnswer: 35*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g + 22*g - 125754 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (192\/11)\/3 + 4\/22 and 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 90357\/312760 - -3\/7819. Calculate the common denominator of -81\/16 and l.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 q when four letters picked without replacement from qjjjqqjqqjqjq?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 3:53 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 107.1 - 112. Let p = -9.9 - d. What is the biggest value in -3, 0.5, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 766\/53881 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5562 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - -60.1. Let n = -77 - -136. Let t = n - d. Which is the nearest to t? (a) -1 (b) 5 (c) -1\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -1011*v**5\/10 + 124*v**4\/3 - 1025*v. Find the third derivative of m(d) wrt d.\nAnswer: -12132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*h**2 + 68958 - 1209*h**2 - 68958.\nAnswer: -1288*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4*d**2 - 31*d + 50. Let l be b(2). Solve 36*k - 5*h = 37*k - l, -k + 4 = -4*h for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3 + (sqrt(60)\/((4*sqrt(66))\/sqrt(11)))\/(sqrt(10)\/(4*sqrt(180))).\nAnswer: -6 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2535354 (base 7) to base 11\nAnswer: 20483a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 7:18 AM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**3 - 5*a**2 - 4*a + 4. Let f(t) = -3*t**3 - 6*t**2 - 5*t + 5. Let s(j) = -4*f(j) + 5*x(j). Factor s(y).\nAnswer: y**2*(2*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -1\/2*t**2 + 0 + 1\/6*t**3 - 7*t. Calculate m(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*l + 10. Let m(f) = -5 + l*f + 0 - 2*f**2 + 7*f**2. Is m(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35 and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25389 and 5551.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128421?\nAnswer: 3, 19, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 1. Let a(d) = -2*d. Let k(u) = 2*u**2 - 2*u + 1. Let h(z) = -3*a(z) + 3*k(z). Let p = 4 - 6. What is p*h(c) - 6*f(c)?\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1031369 to the power of 1\/3, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, u: 6, r: 1, t: 7}. What is prob of sequence uuq?\nAnswer: 25\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - x = -3*x + 2, z - 3*x + 8 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 12 = -0*y - 4*f, -5*y - 3*f = -1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 5*x - 1. Let i be z(3). Let b(t) = -520*t + 9884. Let y be b(19). Let j = 1 + -2. What is the second biggest value in j, -2\/5, i, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/10*3)\/1. Let d(u) = 39*u + 27. Let z be d(-1). Let k be 0\/(-4)*(z - -13). What is the closest to k in w, -0.02, -5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 250, 500, 750, 1000?\nAnswer: 1250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101111001 - 1100011?\nAnswer: 1100010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 162877 and 221?\nAnswer: 162877","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*b - 57 + 1361 = 228*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2414664 to the power of 1\/2, to the nearest integer?\nAnswer: 1554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010000 (base 2) to base 10.\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 4*m + 140 - 156 = 0, 30*m + 49 = 12*x + 31*m for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -236 - -174. Let z = -39 - g. Solve 3 = -5*y + z for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**5 + 7*b**5 + 4*b**5 + 2*b**5 + 5*b**5 - 5*b**5 + (b**4 + 0 + 0)*(2*b + b - b).\nAnswer: 16*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooyo when four letters picked without replacement from yyoyyyoyyoyyoyyyyy.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -38090 - 199?\nAnswer: -38279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 985141779?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -163 at least as big as 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/23023 and -37\/2772?\nAnswer: 828828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1074 a factor of 25167042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Is 857369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 929.2538 millilitres to litres.\nAnswer: 0.9292538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 59\/14 + (-84)\/392. Sort -41, 1, -3, q in descending order.\nAnswer: q, 1, -3, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(20) + sqrt(20) + (sqrt(2420)*-2 + sqrt(2420) - sqrt(2420)))\/sqrt(64))**2.\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7181, 28685, 64527, 114707?\n\"Answer: 7169*y**2 - 3*y + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1013*g - 280*g + 27702 - 5721 = 0 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 59\nAnswer: 5.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3757 + -11556. Let a = h - 17687. Round a to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/120 and ((175\/(-56))\/(-25))\/(1 + 290\/(-278)).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 11) to base 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3408, -3408, -3402, -3384, -3348, -3288, -3198, -3072?\nAnswer: -2904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 21132 = 4*w, -3*w - 7*j = -4*j - 15855. Suppose -3*n + 4*l + w = 0, -2*l + 3516 = 2*n - 0*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.166 - 0.666. Let f = 0.053 + 0.447. Which is the second smallest value? (a) 2\/7 (b) f (c) 3 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/3*t**3 + 0*t + 0 - 20*t**2 = 0. What is t?\nAnswer: -60, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2008 is divided by 665.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**4 + 2*h**4 - 5*h**4 + (h + 0*h + h)*(3 - 3 + h**3) + 78*h**4 + 280 - 280 in the form v*h**4 + p*h**3 + f*h**2 + r*h + g and give v.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/9))**(-2\/91)*x\/x**(-1\/9)*x*x**(3\/7)\/x assuming x is positive.\nAnswer: x**(1265\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) 4 (c) 216\/145 (d) 0.2 (e) -2 (f) 1\/6 (g) 5\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26189 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5\/6))**17 assuming n is positive.\nAnswer: n**(-85\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75)\/175 + (2 - 1)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2240)*2 + (1*sqrt(70))\/sqrt(2))\/(sqrt(252)*3*-4).\nAnswer: -17*sqrt(5)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -4*v - 14, m - 43584 = -43578 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1201 + 399. Let t = -479 - i. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of r**5\/40 - 3*r**4\/8 - 7*r**3\/4 + 309*r**2. Factor w(g).\nAnswer: 3*(g - 7)*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 divided by -737?\nAnswer: 43\/737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2081*a + 3 - 4 + 16595*a.\nAnswer: 14514*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 763?\nAnswer: 3052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 12:13 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -817227*d*w**2 - 8*d*w + 658281*w**2 with respect to d.\nAnswer: -817227*w**2 - 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*b + 2*h - 14, 0 = 4*b - 4*h - 32. Let j = -18 + 30. What is the highest common factor of j and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 657176 from -129.\nAnswer: -657305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 6:47 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(22\/3)*d)\/d*d**(-1\/30) assuming d is positive.\nAnswer: d**(83\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in 1, -0.5, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5*s**2 - 94*s - 8. Calculate z(20).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 102001121 (base 3) to base 8\nAnswer: 17576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 3*a**3\/5 + 53916*a**2\/5 + 5307363*a\/5 - 16407414\/5 = 0.\nAnswer: -17873, -102, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -d**3\/3 + 2. Let b(h) = 5*h - 4. Let q(k) = 10*k + 0*k + 3 + k - 12. Let z(n) = 9*b(n) - 4*q(n). Calculate a(z(j)).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**2 + 48*l + 125. What is the remainder when 147 is divided by t(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22*c*j*v + 40*c*j + 11*c*v - 148*j*v - 3*j + 129195*v wrt j.\nAnswer: 22*c*v + 40*c - 148*v - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 16 = -4. Suppose -s = 5*z - 13. Suppose 0 = -g + 2*q + 7, -g + 10 = z*g + 5*q. Solve -g*m = 4 + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in -1075\/4, -1, -15.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 m, and 1 h when three letters picked without replacement from diiidwddwhwfhhdmhh.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3449663229 to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 0*o + 5\/4*o**4 + 2\/3*o**3 + 0*o**2 - 3\/5*o**5 + 10. What is x in q(x) = 0?\nAnswer: -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1524 and 83916?\nAnswer: 10657332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 6 + 4. Suppose x - 1 = -s. Let g = 47 - 49. Sort g, x, 5\/6 in ascending order.\nAnswer: x, g, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 3*d + 36*z + 458*z + 1974 = 0, 4*d = -3*z - 15 - 5 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 990*q - 993*q - 2*k + 16, 17 = -4*q + 5*k for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4178 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 606 and 258?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 2800516?\nAnswer: -1120206.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjdjjdjjwjjjdjjj?\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1296*k**5\/5 + 184104*k**4\/5 - 249581*k**3 + 1818502*k**2\/5 - 19631*k + 270 = 0 for k.\nAnswer: 1\/36, 2, 5, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 14*i - 2*i + 8.\nAnswer: 12*i + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 44*x - 3. Calculate h(-2).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 76 = 3*i, 0 = 3*q - i - 25 - 29. Let s = 20 - q. Suppose -8 = 2*o, v + 2*o = s*v - 62. Is v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*(a\/(a**(-24)*a))\/a*a*(a*a\/(a**28*a))\/a*a*a*(a**(-4))**10 assuming a is positive.\nAnswer: a**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 84284393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -200 (base 3) to base 16\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/16*-122)\/(80\/(-640))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8230468255.\nAnswer: 5, 3919, 420029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1413 - -12?\nAnswer: -1401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7dbbb (base 14) in base 7?\nAnswer: 2415524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 65981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/3 - 80*f**2 + 162*f - 244\/3.\nAnswer: -2*(f - 1)**2*(f + 122)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 111 + -55. Let y be (-1)\/2 - -1 - 10\/(-20). Let m = 7 + y. What is the highest common divisor of m and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 12:16 PM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 565 (base 12) to base 7.\nAnswer: 2216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5*s - 2. Let i be z(-10). What are the prime factors of (-3)\/(-4) + (-1001)\/i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*o + 11 = -12*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2189024238.\nAnswer: 2, 3, 19, 83, 231349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 4*q. Suppose q = -2*s + 9 + 13. Is s a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k - 10. Let z be g(4). Let u be ((-24)\/16)\/((-2)\/(z*-2)). Let d = u + 21. Solve d = -2*x - 2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -172\/23?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p + 16. Let w be g(0). Let b = w - 16. Solve -3*r = -l - 3 - b, 0 = 4*r + l - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -39*t**3 - 19*t**2 + 79*t - 230. Let k be h(-30). Round k to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -77 or -5\/4?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -44 divided by 4\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-161)\/(-49) + -3 - (-32)\/(-14). Let q be 1\/(13\/h - (-2)\/1). Is q greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3656 - 3656 + 69*k in the form m + u*k and give u.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 46. Let l = 29 - s. Which is the nearest to -1? (a) 4\/7 (b) 3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 22, -0.53, 1, 278?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010 - 11?\nAnswer: -10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -44.2 and -124250020.\nAnswer: -124250064.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**3 + g**2 + 0*g**3 + 0*g**2)*(g - 14*g + g).\nAnswer: -24*g**4 - 12*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 16, -34 in increasing order.\nAnswer: -34, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3879 divided by -431?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41647793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 13*i**2 - 458*i + 109. Determine d(35).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*h**5 + 21783*h**3*l**3 - 10*h*l**2 - 23*h*l + 12*l**3 + 2 wrt h?\nAnswer: -100*h**3 + 130698*h*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 23452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*x**2 + 4*x**2 - 12*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 46312455.1 rounded to the nearest ten thousand?\nAnswer: 46310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of n**6\/40 - 3*n**5\/20 + 3*n**4\/8 - n**3\/2 + n**2. Factor q(k).\nAnswer: 3*(k - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0859452 tonnes to kilograms.\nAnswer: 85.9452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -981645, -981646, -981647, -981648, -981649?\n\"Answer: -i - 981644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20969600 and 16000?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -6*(1 + (sqrt(720) + -1 - sqrt(720)) + sqrt(720) + 1 + 2)*-6)**2.\nAnswer: 89856*sqrt(5) + 943936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -574*q - 142355. Calculate u(-248).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6399*v**2 - 26148*v + 1 wrt v?\nAnswer: -12798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 a factor of 2783106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3 - x**2 - 2*x.\nAnswer: x*(x - 2)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5 = 4*k, -4*k + 2*m - 25 = -11. Let s = -2\/9 - 41\/18. Which is the third biggest value? (a) k (b) 42 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: What is the common denominator of -62\/87129 and 14\/1467?\nAnswer: 14202027","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 + 0*x**2 - x**2)*(-14 - 37*x**2 + 21*x**2 + 19*x**2) + 0*x**2 + 0*x**2 - 2*x**4.\nAnswer: x**4 - 14*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 16) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from awwzza. Give prob of picking 2 w and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 465763547 to the power of 1\/2, to the nearest integer?\nAnswer: 21582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -u**6\/60 - 713*u**5\/30 - 42245*u**4\/4 + 42483*u**3 - 161*u**2 - 6. Suppose p(c) = 0. What is c?\nAnswer: -357, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 q when two letters picked without replacement from zzzzzqzz.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/6 - 65*x\/6.\nAnswer: -x*(x + 65)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 11:43 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*k - 31*k + 16*k**3 - 5*k**2 + 5*k**2.\nAnswer: 16*k**3 - 22*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 355909831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 118 = f - 3*f, -5*f - 335 = -5*d. Suppose 3*v - 5*y = 50, -3*y + d = 2*v - 2. Solve m - v = 6*m, 25 = 5*a - 2*m for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 908?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-120)\/28)\/((-1)\/(-7)). Let f = -18 - l. Solve -f - 4 = -4*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2585 - -2583. Let z(g) = 6. Let q(p) = p + 6. Give s*q(f) + 3*z(f).\nAnswer: -2*f + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -2 (c) 48580.362\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 2*n + 2. Let k = -663 + 663. Let z be w(k). Determine t, given that -t**3 - 1\/2 + t + 0*t**z + 1\/2*t**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5 = 2*j - 5*a, 0 = -2*j - a + 5. Let n be (-1*580)\/j - 6. Which is smaller: n or -295?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 566.43 + -573. Let z = -1.43 + o. Let s = 8.3 + z. Sort -1\/4, -3, 0.4, s in increasing order.\nAnswer: -3, -1\/4, s, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11110 (base 3) to base 9.\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -2*f + 6, 0 + 3 = -f + 4*o. Suppose -5*w + 5 = -5*y, f*y = 3*w - 10 - 5. Is y bigger than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -10. Let o be -3*c\/(-84)*7. Suppose o*w = 26 + 12. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12376 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1295 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 1 - 1)*(-2*s**2 + 33*s - 16*s + 13*s + 50*s).\nAnswer: 4*s**3 - 160*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 112*t + 102*t - 19*t - 30*t + 2*t**2 + 1616*t**3 wrt t.\nAnswer: 9696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-520)\/(-91) + (-15)\/21.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 6*o - 3. Let g = 35 - 33. Let d be p(g). Solve r = 3*c - d, c = -2*r + 4*r + 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 12, -10, -34?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74983, -74756, -74377, -73846?\nAnswer: -73163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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 0.12 - -0.5878?\nAnswer: 0.7078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 9:24 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -1, -147\/4, -5\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -623.14 - -629. Let v = -2.07 - b. Round v to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2427)\/80900)\/(1\/5)?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163 = -3*n + t, -5*n - 10*t - 268 = -8*t. Suppose 0 = 5*y - 32 - 263. Let o = n + y. Let q(w) = -w**2 + 7*w - 2. Determine q(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -5*r + 108, -49 - 32 + 189 = -3*d - 4*r for d.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (-7 + 17)) + -1 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -810? (a) 3\/8 (b) -3 (c) 0.5 (d) 2 (e) 13 (f) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 47318432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 - 51. Let w = u + 11. What is the remainder when 18 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51 and 19352307.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-1*(-2)\/(-4)). What are the prime factors of ((-9)\/t)\/(2\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/(-75))\/((-14)\/(-21))*-5. What is the biggest value in 5, j, 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(4\/7))**9)**(-8) assuming n is positive.\nAnswer: n**(-288\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xqbxbwuwubbcwcuuwww. Give prob of picking 1 q, 1 b, and 1 c.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85 and 221.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4 + (-25)\/10\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*1\/(4\/(-2)). Let d(k) = -4 + 0*k - 2*k + 2 + 0*k**2 + k**3 - 2*k**2. Let a be d(3). Is t at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 4:53 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 9*t + 13. Let k be l(9). Is 5\/(-20) + k\/(-4) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/15 - 172*r\/15 + 672\/5.\nAnswer: 2*(r - 72)*(r - 14)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9899111?\nAnswer: 101, 98011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -14790*a - 16874*a + 34517*a in the form k*a + g and give k.\nAnswer: 2853","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k + 4. Let f = -18 - 8. Let z = f + 23. Let n be r(z). Calculate the greatest common divisor of n and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -172*0.4.\nAnswer: -68.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 622 and 78061?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-57) - 8759\/2527) + 3. Let w = -30 - -29. Which is the closest to w? (a) v (b) -0.3 (c) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250 = 7*o - 9*o. Does 35 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 962 + -939 + (4 - (-4 + 16)) + -1\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13\/4 + 0 - (-2)\/(-8). Suppose -3*m - 8 + n = 5*w, -2*m = 5*w. What are 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 common denominator of -83\/678132 and 61\/1134?\nAnswer: 678132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2 - 3*f**2 - f**2 + 2. Let q(z) = -z**2. What is a(q(u))?\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 925 = -5*g, 5*g + 5*d - 611 - 314 = 0. Is 22 a factor of g + 0 + 1\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/4 of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2202701174?\nAnswer: 2, 347, 383, 8287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29\/(609\/(-1533))*3\/(-3).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -674 + 49. Let r = -176 - m. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 654 = 2*s, 0 = q - 3*q - 5*s + 249. Calculate the highest common factor of 12 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 365760736.\nAnswer: 2, 11, 94463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -324*o*x**3 - 2*o*x + 2*o + 5108*x**4 + 91*x - 4161 wrt x?\nAnswer: -1944*o*x + 61296*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 4*o**2 - o - 7. What is a(5)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5*j - 7. Let l be n(8). Let i be 1 - 20 - (3 + 0). Let p = l + i. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 506864832?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/605416 and 83\/84.\nAnswer: 1816248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 107806 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 130 - -40. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 0) + 43 - (948 - 950).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7830457 millennia in years?\nAnswer: 783.0457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0296 - 3.0296. Which is the third biggest value? (a) -0.2 (b) 0.027 (c) u (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*o - 25959 + 2155. Solve 0 = 8*t + 2124 - o for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -645.4 to the nearest integer.\nAnswer: -645","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 3*l - 6. Let s be d(5). Let x(c) = c - 3. Let o be x(s). Let j(h) be the second derivative of -h**5\/4 + h**2\/2 - 1514*h. Calculate j(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (655 - 609 - 277)*(0*y**4 + 3*y**4 + 3*y**4).\nAnswer: -1386*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1057245059?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2507 and 109.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 48299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 54\/(-24) - 2\/(24\/9). Let l be 1*-3*r\/45. Solve -1\/5*b**2 + l*b + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4*6*((sqrt(1700) + -2 - sqrt(1700)) + -3 + (sqrt(1700) + 2*sqrt(1700))*-5)**2)*-3*1.\nAnswer: 108000*sqrt(17) + 27541815","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**2 + 19044510*k - 19044510*k.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 6*j = -28, -y - 265 + 241 = -5*j for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 24*a. Let z(j) = j + 2. Let v(p) = -1. Let i(x) = -2*v(x) - z(x). Give i(o(b)).\nAnswer: -24*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 42703291?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14102 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -62, -165, -300, -467, -666, -897?\n\"Answer: -16*h**2 - 55*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(14)\/(-3*sqrt(7)))**2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - (-4 - -3)) + 10. Let u = 4 - h. Let k = 4.6 + -5. Which is the third biggest value? (a) k (b) u (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -499 + 827. Suppose z + 1307 = 5*a. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21.62361 litres?\nAnswer: 21623.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 189785 to the power of 1\/2, to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**5 - 48*c**4 - 108*c**3 + 1944*c**2.\nAnswer: 4*c**2*(c - 9)**2*(c + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*u - 4*l + 2, -5*l + 13 = -4*u. Let a be (u + 9\/(-3))*-1. Solve a = -2*c + 7*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 1) + 9 + -3 + -2. Let n(f) = 2*f - 4. Calculate the lowest common multiple of n(p) and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**3 + 3*c**4 + 9*c**2 - 12*c**2 + 4*c**2 as p*c**4 + z + j*c**2 + n*c + h*c**3 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31148 is divided by 3883?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -180567\/67 + 2695. Which is the second biggest value? (a) -2\/7 (b) 2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 147 and -173 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -5*u + 21. Let s(j) = -4*j + 27. Let r(x) = 6*i(x) - 5*s(x). Calculate r(7).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 14 = -r, 3*f - 2*f = -5. Let s = 52 - 47. Solve 5*t + 0*t = 4*g + r, 2*g + s*t = 13 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, 1, -0.418073?\nAnswer: -0.418073","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95963, -383859, -863683, -1535435, -2399115?\nAnswer: -3454723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 68 divided by -34\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (-117 - (1 + -1)). Let s be 9\/(-3)*26\/(-6). Calculate the highest common divisor of g and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7054168 by -418.\nAnswer: -16876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 8*j**2 + 5*j - 7. Is n(-6) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/36*3\/(-6)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 7:11 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1880613 divided by 63\nAnswer: 29851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 c, and 1 n when three letters picked without replacement from {s: 1, c: 2, n: 3, m: 1}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1242 + 1240)\/((-14)\/(-251)) + 31\nAnswer: -34\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 183778 = 5*b, 0*y + 245009 = 4*y - b. Suppose 3*r + y + 76749 = 0. Round r to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1003 + -1002. Calculate the highest common divisor of z and 64.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 4*g + 149, 2*g + 0*g - 104 = -2*c. Calculate the remainder when c is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1146)\/(-30) + -8 + (-42)\/35?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**3 - 4*n**3 - 5*n**3)*(-4*n - 2*n**2 + 4*n)*(-2 + 8 + 5).\nAnswer: 88*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/4)\/((g\/g**(-6))\/g))\/(g*g*(g*g\/g**(-5)*g)\/g*g\/(g\/(g**3*g))) assuming g is positive.\nAnswer: g**(-75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -3*m**4 - 75*m**3 - 144*m**2 + 1188*m = 0.\nAnswer: -22, -6, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(((d*d**8\/d)\/d)\/d))\/d**5)\/((d\/(d*d\/(d*d\/d**(1\/3))*d*d))\/d**4)*(d\/(d**(-2)\/d))**(-23)*d**(-4\/3)\/d**(-4) assuming d is positive.\nAnswer: d**(-94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**3 + 10*g**2 + 32*g + 156. Determine q(-6).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/10 - (-24)\/5. Suppose -4*r + p*h = -65, 5*r - 3*h = r + 63. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-60))\/(52\/9358) + -3. Is a smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 3:34 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - 43\/(-26)) + 1\/2. Let k = 2 + 4. Let z = k - 8. Which is the nearest to o? (a) -3 (b) -0.5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005662196 rounded to 5 dps?\nAnswer: 0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 41 + 16. Let f(s) be the first derivative of s**4\/4 + 2*s**3 - s**2\/2 - 2*s - 160. What is the remainder when f(g) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 199453 to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 1533424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8210 and 5.\nAnswer: 8210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-612)\/27)\/17*15\/(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 644745?\nAnswer: 3, 5, 53, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34882 is divided by 17428?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.59 - -0.649. Let f = -4.059 + r. Put 0, f, 1\/4 in descending order.\nAnswer: 1\/4, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 9 = 42. Suppose 3*m - 3*t + 9 = 0, 5*t - 25 = -m - 10. Suppose -3*w + 31 + y = m. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r - 6032 = 7693. Does 15 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + -2*-1*sqrt(88))\/((sqrt(72)\/sqrt(3))\/sqrt(3)).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**3 - 4*u**3 + 2*u**3 - 2*u**3 + u**3 - 2*u**3 + (18*u - 7*u + 3*u)*(-25*u - 34*u**2 + 25*u) as a*u**2 + m + l*u**3 + d*u and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/4, 2, 2717, 2595?\nAnswer: 2717","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 - 1)*(7*z**2 - 11*z**2 - 7*z**2) + (-z + z + 2*z)*(-88 + 88 - 11*z) - 12*z**2 - 4*z**2 + z**2 to r + f*z**2 + a*z and give f.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 0)\/(-1 + 2). Suppose k = -v, 46 = x - 5*v + 10. Is x a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 8:55 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6 - 3*a**3 + 6 - 2*a wrt a.\nAnswer: -18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 141211, 565047, 1271509, 2260597, 3532311?\n\"Answer: 141313*v**2 - 103*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (0 - 1 - (15 + 14) - -1)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/4 + 6\/(-12) + -431. Let k = s - -611. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k - 10. What is o(10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21238 or -21235?\nAnswer: -21238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**2 - 7*v - 12. Calculate q(-6).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -14.6 (b) 4\/9 (c) 785\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 300710237 to the power of 1\/3, to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + -17. Let l(t) = t**2 - 2*t + 3. Let a be l(j). Is (628\/6)\/(4\/a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 16\/3, -15, 2\/15, 0.1, 1\/2 in ascending order.\nAnswer: -17, -15, 0.1, 2\/15, 1\/2, 16\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 6*z - 1. Let d be s(-3). Let v(h) = -h**2 + h + 3. Let y be v(0). Suppose i - d = -y. Solve 0 = -4*l + r + 20, 3*l - 28 = l + i*r for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15599*t - 15803*t + 6732 = 0 for t.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*c - 1307 = 0, -t + 6*t - 6635 = -5*c. Is t a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100101000 (base 2) to base 5.\nAnswer: 11213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 s when two letters picked without replacement from {z: 5, o: 1, r: 1, f: 4, s: 3, d: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -6*i + 4*u + 8, -4 = -2*i + 4*u. Let a = -1756 + 1920. What is the highest common factor of i and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 74 = -i + 7*i - 154, 4*i + 5*j = -99 + 251 for i.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 339833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3c9 - a88?\nAnswer: -69d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 + 499?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(-81)*24 + (-1 - (1 - 1))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-132)\/165 + 248\/260?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**2\/3 + 1924847*y\/3 + 7699340 = 0.\nAnswer: -1924835, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 358.5114ng in kilograms?\nAnswer: 0.0000000003585114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -156*q**2 - 291*q + 424. Differentiate u(c) wrt c.\nAnswer: -312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 4*q, 0 = 3*q + 6*y - 4*y for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-54 + 136)) + 199\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1202 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of 13*s**3\/6 + 3*s**2 + 3*s. Let o(n) = 4*n + 2. Let h = -68 - -104. Let w = 34 - h. What is w*b(u) + 7*o(u)?\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23190731 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 655170 rounded to the nearest 1000?\nAnswer: 655000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3071*l**3 - 6135*l**3 + 4*l + 27 + 3063*l**3 + 11*l**2 - 13*l. What is o(9)?\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 966335.\nAnswer: 5, 157, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2*q + 11 = -7, -4*q = -4. Find the first derivative of -4 - 4*i**h - 2 + 5*i**4 + 3 wrt i.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 412 = -5*k, -2*u + 3*k = -79 - 149. Let o(l) = -l**2 - 1819*l + 28. Calculate the remainder when u is divided by o(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5*l + 2. Let p be -2 - 6*1\/(-2). Let u be h(p). Suppose 3*g = u*g - 188. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2 - d - 1. Let b be c(2). Suppose y = b*y. Let h be 3\/((-2)\/(2 - y)). What is the biggest value in h, 5, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 5*i + 3. Let w be z(-5). Let v(m) = m + 3. Let a be v(w). Let g be (36 + 4)*(-2)\/(-5). Solve 0 = -4*k - g, 2*o - o - a = k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2668*p**3 - 3*p**2 + 23*p + 26. What is the thousands digit of t(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298338 is divided by 298329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*w + 17*w - 11 = 5*k, -6*w - k + 14 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h + 1. Let i(w) = 13*w + 6. Let v(a) = i(a) - 6*n(a). Let l(u) be the second derivative of -7*u**3\/6 - 2*u. Give l(v(q)).\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -105 (base 8) to base 12\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20423 = 626*m + 7121 for m.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/(-35) - (324\/(-63))\/18. Which is the biggest value? (a) r (b) 45 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of w**5\/12 + 4*w**2 - w. Let o(u) be the first derivative of i(u). Let s(c) = -3*c. Give s(o(g)).\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is c6 (base 13) in base 9?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1231636575 to the power of 1\/2, to the nearest integer?\nAnswer: 35095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*a - 11*a - 11*a**3)*(3 - 2*a**2 - 3 + 2).\nAnswer: 22*a**5 - 22*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 2. Let r = -8 - -12. Which is the closest to -0.2? (a) -1 (b) n (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -391 + 403. Solve 0 = 7*t - t - v for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22341023 (base 5) to base 10\nAnswer: 199513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 2*h + 2. Let c be j(2). Let i be (0\/(-8))\/(1*2). Which is smaller: i or c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 149*j**4 - 9*j**3 - 9*j**2 - 197. Let t(b) = -37*b**4 + 2*b**3 + 2*b**2 + 49. Let h(n) = 2*r(n) + 9*t(n). Find the first derivative of h(c) wrt c.\nAnswer: -140*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**3 - 50*d**2 - 157*d + 189. Calculate h(-21).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 29. Calculate the remainder when j is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4437 - -4525. What is the remainder when 95 is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/5*f**2 + 548\/5*f + 552\/5 = 0. Calculate f.\nAnswer: -1, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/21 and -145\/48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -265 or 3282\/7?\nAnswer: 3282\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -4*m + 6. Sort 0, 5, m in descending order.\nAnswer: 5, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 33*s**2 - 1. Let x be w(-2). Let a be (1 - 2 - x)\/(-1). Calculate the greatest common divisor of 12 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.69, 5, -10 in ascending order.\nAnswer: -10, -1.69, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/17)\/y)\/(y\/y**6))**(-2\/131)\/((y\/y**0)**44*(y**(-1))**(-14)) assuming y is positive.\nAnswer: y**(-129298\/2227)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-19))**(-3\/2)*(n*n**38)\/n*n**(-14) assuming n is positive.\nAnswer: n**(105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 3*f**2 + 50*f + 28. Let s be m(6). Solve 0 = 5*d - d + 5*n, 0 = s*d - 4*n for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11321 - 1?\nAnswer: -11322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**4 - o**2 + o**2 + 2*o**2 - 2*o**2 + 2*o**4 + (-o + o + o)*(1 - 1 + o**3) - 78417 + 39221 + 1164*o**4 + 39209.\nAnswer: 1166*o**4 + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -bacc + 0?\nAnswer: -bacc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 96\/(-32) - (0 + -5). Let t(g) = g + 13. Let f(n) = 3. Let k(v) = x*t(v) - 9*f(v). Let o(d) = d**3 - d**2 + 3*d - 2. Determine 3*k(j) - 2*o(j).\nAnswer: -2*j**3 + 2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2723861*t**2 - 2723861*t**2 - 35519*t**3.\nAnswer: -35519*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 7*s - 8*s + 5 - 38 + 38 + 42*s + (-s + 6*s - 4*s)*(0 + 5 - 4) as x*s + u and give x.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -0.2, -1, 1, -531?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -604 - -606. Let q(t) be the first derivative of 0*t + 7 - 1\/2*t**w - 1\/3*t**3. Factor q(m).\nAnswer: -m*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 170468?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*c + 5*c, 3*c = 3*f - 33. Suppose -6*t + f*t = 252. What are the prime factors of t?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 5*s - 15 - 20, -4*a + 3*s - 25 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/11 - 60\/(-33). Let x be -6 + 2 - (w - 10). Suppose -x*j + 968 = 360. What is the greatest common divisor of 19 and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60 divided by 889\nAnswer: -60\/889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*z + 105247485 = -5*z + 66*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/(-8)*(((-156)\/12 - -16)*-5 + 21).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 1 + 4 + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.5, -1\/27, -2\/5?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 70\/373 - -24337\/7460. Let f = -28540 - -1027315\/36. Calculate the common denominator of v and f.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2.05 (b) 0.1 (c) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/5 - 2064064*y\/5 + 6192201\/5.\nAnswer: -(y - 3)*(y + 2064067)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/(-1458))\/(4\/120).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k**2. Let c(t) = -918*t**2 - 41*t. Calculate c(l(s)).\nAnswer: -8262*s**4 + 123*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*u - 9791955 = 0, 4*u - 5*u + 24479920 = 5*w. Let k be (-3295986)\/1 - (-3)\/3. Let t = k + w. Round t to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 245 - 25503551?\nAnswer: -25503302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -8*b**3 + 9*b**3 - 2 + 2*b**2 + 150*b - 2*b**3 - 141*b. Calculate f(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 378*x**2 - 756*x**2 - 898*x - 410 + 376*x**2 - 486 = 0.\nAnswer: -448, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394258 to the power of 1\/2, to the nearest integer?\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151793 is divided by 124?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*r**3 + 68*r**3 - 111*r**3.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 21*h**2 - 41*h - 32. Let t be v(5). What is the highest common divisor of 21353 and t?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49 - -53.7. Let h = 8.7 - k. Let c = h + -3.95. What is c rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.06, 5\/2, 0.4, 55, -0.1?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/4*(-10)\/(-4). Let b(f) = 2*f - 3. Let o = 8 - 4. Let c be b(o). Solve s*y = -2*w - 10, -5*y = -c*w + 5 + 5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1313 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, u: 7}. Give prob of picking 3 t.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 836, 806, 776, 746?\n\"Answer: -30*y + 866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -26 - 676?\nAnswer: -724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -13420?\nAnswer: -13422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 25*f + 156. Let o be i(-12). Let v(w) be the second derivative of 1\/14*w**3 - 8*w - 1\/28*w**4 + 0 + o*w**2. Let v(r) = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -10*q + 155. Let y be n(15). Sort -1, 4, 0.5, y, 0 in descending order.\nAnswer: y, 4, 0.5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -52\/15 (b) -26 (c) -2.1 (d) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 g when three letters picked without replacement from aktavvthtagvgga?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 98939724 and 651?\nAnswer: 692578068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, s: 9}. What is prob of picking 3 s?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1140357729 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*s + 5. Let c(o) = -5*o + 6. What is c(s)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55 divided by -62\nAnswer: -55\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3633 - 4.3633. Let f(y) = 0*y**3 - y + 1 - 3 + 1 + 2*y**2 + y**3. Let i be f(-2). Which is bigger: i or b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 4*l - 176, 33 = -u + 2*u - 3*l. Does 9 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27*j*w**2 + 3490*j + 77*w**2 wrt w.\nAnswer: 54*j*w + 154*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5655 and 18.\nAnswer: -5637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 168 + -105. Suppose a = -u + 5, 5*u + b - 18 = 5*a. Solve -12*w = -a*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 9, 17, 17, 3?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -16 times -0.7\nAnswer: 11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 102 + -53. Suppose 0 = a + 4, 20*w = 16*w + 4*a + 24. Which is greater: w or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-5)*3 + (-2006)\/(-2655).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 9 = 3*z, -2*a + 0*a + 5*z + 30 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 12. Let q be (n\/2)\/(-1 - -2). Let u be 1\/2 + q\/(-12). What is the closest to -0.1 in 4, u, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5434*r = -10418*r + 5182*r + 21186 for r.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 4*d**2 + 11*d - 2. Let t be h(6). Is t*4\/(-32)*1 + 6804 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (306\/(-972))\/(2023\/(-238))?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -250.644 - 0.356. Let n = 251 + x. Are 4 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -1122*x + 148091. What is g(132)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 35*-1*((-2)\/3 + 17724\/(-1899)). Let d be 4 + 2\/(-2) + 2. Calculate the greatest common divisor of d and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 (base 12) to base 2\nAnswer: -100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/42025?\nAnswer: 1\/42025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/9 - 4\/(-6). What is the third derivative of 0*o**3 + 4*o**4 - 6*o**q + 0*o**3 + 8*o**4 wrt o?\nAnswer: 288*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66425423 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 8 = f. Suppose 5*p + f = -5*l, -5*p - 4*l - 22 = -3. Let c = 0 - p. Solve 0*g = 3*u + g - 1, -c*g - 19 = -2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 234 and 2327?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(9\/6)*(-18)\/42. Which is the nearest to g? (a) -0.4 (b) 40 (c) 3\/7 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 222680 and 88?\nAnswer: 2449480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) 147 (b) -5 (c) 12 (d) -0.5 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2211 + 2?\nAnswer: -2203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 2*d - 4. Let w be k(-2). Let x(t) = -t**2 - 6*t - 10. Calculate x(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 5 + -17 + 2 - -3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (88 - 0) + (-12)\/(-6). Let o = y - 29. Let r = o - 43. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35120 and 3512.\nAnswer: 35120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1.91, -3, -1\/2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1 + -5*(sqrt(363) + -2))*5 + 2.\nAnswer: -275*sqrt(3) + 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101000110 - 100001?\nAnswer: -1101100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 5*b = x - 10, 4*x - 5*b - 25 = 0. Suppose -3*m - 746 = 5*z - 2199, 4*m = -x*z + 1449. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12267055657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 7*n + 20, 5*i - 35 = -5*n. Suppose -2*j + x + 14 = 4*x, i*x = -4*j + 20. Suppose -2*o + 117 = r, 0*r + 54 = o - j*r. Is o a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (768\/(-78) - -3) + (205\/(-65) - -3). What is the closest to 0 in -132, r, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(-70))\/((-12)\/(-20))*2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 10:02 AM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -845883*c**4\/4 - 1563795*c**3\/2 - 470001*c**2 - 29202*c - 480 = 0.\nAnswer: -80\/27, -2\/3, -2\/59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 42*l**2 - l - 1. Let s be d(-1). Let k = -46 + s. Put k, -3, 1 in decreasing order.\nAnswer: 1, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, g: 1, m: 7, t: 5}. What is prob of sequence tdgd?\nAnswer: 25\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, h: 7}. What is prob of picking 2 t?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 + -30. Suppose -w*l + 3*u = -10, 2*l + 10 = 3*l + u. Put -1, -4, 6, l in increasing order.\nAnswer: -4, -1, l, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 + -1.5. Let s = a + 15.6. Let o = s - 13. Put o, -2, 1\/3 in decreasing order.\nAnswer: o, 1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -113, -179, -251, -329, -413?\nAnswer: -503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 (base 7) in base 8?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 1\/3 (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 17789, 67266, 149733, 265190?\n\"Answer: 16495*t**2 - 8*t + 1302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = y - 24, 66 - 10 = 3*y - 4*l. Let f be 88\/y + (-6)\/4. Suppose 0 = -5*h + 9 + 16. Solve 4 = -j + 2*u, 4*u + h = -f*j + u for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2 = 3*x - 27, -5*n = -3*x + 37. Suppose 3*l = 9, -h - x + 34 = l. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0702415429*3\nAnswer: -0.2107246287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*c**2 - 87*c**2 - 66*c**2.\nAnswer: -282*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9 - -72)*(-1)\/3. Let s(u) = u**3 + 20*u**2 - 26*u - 103. Calculate s(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -331*o = -128*o + 257*o - 2760 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 38*l + 30. Let i be t(6). Suppose -15*c + i = -11*c - u, u - 318 = -5*c. What is the remainder when 314 is divided by c?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14872, -14878, -14884, -14890?\nAnswer: -14896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of c**3 + 2*c**2 - 6*c + 8. Let u be m(2). Suppose u*i - 540 = 9*i. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**3 + 5*g**2 - 2*g + 7. Is 9 a factor of r(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341714.725 rounded to the nearest ten?\nAnswer: 341710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 2*l - 24. Suppose i = l - 3. Suppose -4*v + 16 = -3*c, -5*v - c + 20 = -2*c. Solve 2 = v*n - i*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -y - y - 14, 0 = -4*y - r - 16. What are the prime factors of (-4)\/(-6) - 10\/y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 1 - 3 = -t, 13 = -11*t - 2*a for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -317*m - 41. Let l(p) = 952*p + 114. What is 14*i(v) + 5*l(v)?\nAnswer: 322*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -365.4 * 101.8.\nAnswer: -37197.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 243*g**3*z**6 - g**3 + 34*g**2*z**2 + g**2 + 2*g*z**6 wrt z?\nAnswer: 29160*g**3*z**3 + 240*g*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 6*s**2 + 2*s - 8. Let x be w(6). Solve -x = -0*q - 2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1560573068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 12*s**2 - 3*s - 11. Let g(t) = 35*t**2 - 8*t - 32. Let x(p) = -3*g(p) + 8*i(p). Find the first derivative of x(u) wrt u.\nAnswer: -18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 + 3 - 3)*(-7*j + 180 - 358 + 184)*(-7*j + j + 4*j).\nAnswer: -14*j**5 + 12*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -70.5 + 68. Which is the nearest to -0.1? (a) i (b) 0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ucaor. What is prob of sequence cu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36240519.\nAnswer: 3, 7, 31, 179, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 246 and 59778.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/9)\/((-650)\/(-780))?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.07 (b) -19.4 (c) 6672\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2980 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(66)*-3 + sqrt(66)) + sqrt(66))\/(sqrt(6) - (sqrt(6) + -6*sqrt(36)\/sqrt(6))) + -2.\nAnswer: -2 + 11*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 13\/((-1092)\/(-228)) - 3\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6848 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.8617533 to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxkc when four letters picked without replacement from cxckccx?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.53517 meters in centimeters?\nAnswer: 7953.517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = 17*j - 26. Is (99*6 - j)\/((-1)\/(-5)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 0, -3, -6, -9, -12?\n\"Answer: -3*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23063 is divided by 2087.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxmmoxtxmffmtfo. Give prob of picking 1 o and 1 x.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 20*v**2 + 414*v + 403. Give n(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -20346, -42052, -65116, -89538, -115318?\n\"Answer: -679*j**2 - 19669*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48*q**4 + 92*q**3 + 2*q**2 + 786*q + 3.\nAnswer: -576*q**2 + 552*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3029\/17 or -1\/5?\nAnswer: 3029\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-682)\/(-93)*(12\/14)\/(12\/(-21))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -674846 - 0.08.\nAnswer: -674846.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 5*q - 8, -3*q + 21 = 2*k - 9. Calculate the remainder when (132\/30)\/(2\/5)*2 is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 13*k - 15, k - 2*m - 5 = -0*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s + 25*s = -31*s - 246 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 16*v - 10*v - 2*v**2 - 9*v. Let m(a) = -3*a**2 - 4*a. What is 3*m(n) - 4*z(n)?\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00382899204 to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1272564 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*l = -3*l + 7, 2*n + l - 9 = 0. Suppose 6*b = n*b + 108. Let s = -27 + b. Is s less than or equal to -12\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-10)\/(-5) + 6)*-14*(14 - 11)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -1, 1, 1\/7990, 2?\nAnswer: 1\/7990","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -5*t**3\/6 + 3*t**2 - 464*t. Give c(7).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*1\/42*(18*(-7)\/(-21))\/10?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 8*u**2 - 10*u - 44. What is n(9)?\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -53*k - 258. Let u be n(-6). Let c be (8\/u)\/(2\/140). Solve 20\/3*d**2 + 4 + c*d + 4\/3*d**3 = 0 for d.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 124404512 - 2?\nAnswer: 124404510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is a726 (base 11) in base 3?\nAnswer: 201110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -11 (c) 0.319 (d) -0.42\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 30329003?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28523 and 5821285.\nAnswer: 2593","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -3*r + 15, 0 = 4*r - r - 3. Suppose -105*h + 99*h = -204. Solve -25 + h = z*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3100394149?\nAnswer: 163, 19020823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from yhoohyyshhhs.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/7*(-8 - -1). Solve -2*h + 5*h = 15, -3*w = b*h - 29 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 11 (c) -18 (d) -4\/3 (e) 0.02 (f) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10459429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 z when four letters picked without replacement from zribmibzimrbrzmz.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g\/(g\/(g*g**(-44))))*g*g\/(g\/g**20)*g**(7\/3)*(g*(g\/((g**(-41)\/g)\/g))\/g)\/g assuming g is positive.\nAnswer: g**(331\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 8:45 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8730511, -17461019, -26191523, -34922023, -43652519, -52383011?\nAnswer: -61113499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**7*g)**(28\/3) assuming g is positive.\nAnswer: g**(224\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14617 is divided by 1322?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, a: 4, j: 8}. What is prob of picking 2 w, 1 j, and 1 a?\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7531643, -7531633, -7531615, -7531589, -7531555, -7531513, -7531463?\nAnswer: -7531405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 3*c + 2. Suppose 0 = 2*t - i + 5*i, 3*i = -5*t. Let s = c + t. Is s <= -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 5*p + 12. Let r = 1992 + -1999. Calculate a(r).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -8*w - 158. Let f be h(-23). Calculate the highest common divisor of 52 and f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3771618 is divided by 1885758?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p + 9*p + 9*p.\nAnswer: 15*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 4*v - 34, 0 = -2*n + v + v + 16. Suppose 5*h = -3*g + 8, -3*h + n - 3 = 5*g. Calculate the smallest common multiple of 11 and (-5)\/(h\/4*-2).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m. Let z(p) be the third derivative of -p**6\/180 - p**3\/6 - 3*p**2. Let j(g) be the first derivative of z(g). Determine j(y(t)).\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b - 1 + b - b.\nAnswer: 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/3))**(-2\/33)\/(((u**(-1)*u)\/u)\/(u\/((u\/(((u\/u**(-2\/3))\/u)\/u))\/u))))**(38\/3) assuming u is positive.\nAnswer: u**(6422\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 q when four letters picked without replacement from {o: 1, f: 6, e: 2, q: 10, d: 1}?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -146*k - 950. What is the units digit of g(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1310781*m + 4*m**2 - 2621568*m + 1310787*m.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -167, -6, -4 in descending order.\nAnswer: -4, -6, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -11222 times 14.786\nAnswer: -165928.492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.638 (b) -2\/9 (c) -4 (d) -34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 349 = 594*t - 3215 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a day in hours?\nAnswer: 78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 322*r**2 + 552*r - 17004834 wrt r.\nAnswer: 644*r + 552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 174? (a) 422\/7 (b) -1\/5 (c) -20\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 1)\/((-21)\/21). Which is the nearest to y? (a) -2\/3 (b) -4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4998726 and 22.\nAnswer: 54985986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11265 + 2?\nAnswer: -11263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/4, -3\/5, -0.21, 0.3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 726 and 23980?\nAnswer: 791340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 x when four letters picked without replacement from dxxddddxxx.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 152, 154, 156, 158?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i + 2. Let z(s) = s**2 - 46*s + 5. Let o(r) = 8*y(r) + z(r). Determine o(10).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 2:42 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1961*((-15589)\/4403)\/(-131).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4772 is divided by 55?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132022 - 232100?\nAnswer: -100012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + -25. Let u = p + 34. Solve -15 = 3*x, u*x = -4*g + x + 6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -13. What is the closest to 1 in 5, w, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-7) + (-1)\/(-21). Let h = -95.37 - 0.63. Let c = h - -97. What is the smallest value in -4, f, c, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/(-42))\/(23422\/717).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 96791 a multiple of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -27, -36, -45, -54, -63, -72?\n\"Answer: -9*m - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 - t + 2. Let n be u(1). Let f(l) = 2*l**2 - l - 4. Give f(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(153)*-2)\/sqrt(9).\nAnswer: -10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 80.97 - 81. Let p = -49.63 - h. Round p to the nearest integer.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 1520 = n. Suppose -n = m - 6*m. Suppose -q = 3*q - m. Is 10 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - r + 2. Let q = -5 + 5. Let w be z(q). Solve -5*b + 8 - 4 = -3*k, -6 = -5*k + w*b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 6 = -a + 3*o, a - 4 = -o. What is the remainder when -1 + (-382)\/(-18) - (-112)\/(-504) is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: bd5041 (base 14) to base 6\nAnswer: 345445013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 452244168 divided by -92088?\nAnswer: -4911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -1130*c - 9. Let t(k) = -286*k - 2. Let o(f) = 9*t(f) - 2*v(f). Let j(u) = 4*u. Calculate j(o(m)).\nAnswer: -1256*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7329\/29348 + 2\/7337. Which is the third biggest value? (a) f (b) -2 (c) -0.221 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69\/16 - 449\/208. Let y = -170\/91 + q. What is the second biggest value in -4, -0.3, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, c: 1, i: 5, m: 6}. Give prob of picking 1 g and 1 i.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 4*o - 5. Let n be b(-4). Let v(d) = -d**3 + 6*d**2 - 12. Let w be v(6). Let c = n - w. Is 7 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/11 - 65001344*x\/11 - 528146840225792\/11.\nAnswer: -2*(x + 16250336)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 100549.\nAnswer: 100549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y - 11. Give s(-18).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*z = -4303 + 4039 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4783 (b) 2\/15 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4446368 or -4446366?\nAnswer: -4446366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3413281 to the power of 1\/2, to the nearest integer?\nAnswer: 1848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3496422?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1328 + -936.5. Let n = 285 - g. Let p = 106 + n. Which is greater: p or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1374526*x**4 - 567945.\nAnswer: -5498104*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -22 - (73 - 80) - (0 + -4)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 31*q + 18*q = 106, y - 41 = 5*q. Sort 1.7, y, 2, -1\/37.\nAnswer: -1\/37, y, 1.7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3*b + 2 = -14, 3*s = 5*b. Let x(r) = -3*r - r + s*r + 0*r. Let f(i) be the second derivative of i**4\/6 - 3*i. What is f(x(t))?\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-90383)\/(-201)*(-54)\/(-684)\nAnswer: 71\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-5\/4)*b*b*b*b**(-2\/27))\/(b\/(b**(-1)\/b)*b*b\/((b**(-1\/9)\/b)\/b*b*b)) assuming b is positive.\nAnswer: b**(7\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -78, -193, -364, -597, -898, -1273?\nAnswer: -1728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1023242 (base 5) in base 15?\nAnswer: 51ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57401763?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/3 - 436*g**2\/3 + 1822*g - 4140.\nAnswer: -2*(g - 9)*(g - 3)*(g + 230)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -431671 divided by 89?\nAnswer: -431671\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1807 (base 15) in base 11?\nAnswer: -3991","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4026 by -2.\nAnswer: -2013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 4*x - 85, 0*r = 2*r - x - 65. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*b - 15280 = 1776*b + 17374 - 4889 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5035?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17247*o + 33189*o - 15939*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4524 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 84048 to the power of 1\/2, to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.03 - 0.47. Let a = -1353 + 1352.6. Put a, 0.4, u, -3 in increasing order.\nAnswer: -3, u, a, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2019597 is divided by 765?\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(684) + (3*3*sqrt(684) - sqrt(684)) - -4*((sqrt(209)\/sqrt(11))**2 + -5).\nAnswer: 56 + 54*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4604 divided by -4604.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*h = w + 14*h - 10746, 4*h = -8. What is the hundreds digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90701153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3980 and 5344344?\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/17? (a) 1 (b) -2.05 (c) 4 (d) 5 (e) 557\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - (-1 + (-5 - -11)) - (-102 - -138)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*12\/240*2\/(-2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 56283\nAnswer: 168849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 5*u**2 + 4*u + 3. Let g be s(4). Suppose f = -g*l + 1831, -l + 5*f + 3065 = 4*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5*h - 2286 = 1293, 14270 = 4*w + 3*h. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -496 * -1.1.\nAnswer: 545.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12188 - -12192. Calculate the highest common divisor of 410 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 120, -6, -10?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -26626 + -17067?\nAnswer: -45715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 6*o + 2. Let x be w(-6). Suppose 42 = 5*d - x*d. Calculate the remainder when 22\/99 + 464\/18 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 s, and 1 u when three letters picked without replacement from kujtutmtjtmutstktm.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -332*t - 122*t + 11747 = 237*t for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1294, 1285, 1276, 1267, 1258, 1249?\n\"Answer: -9*i + 1303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2546310.302 plus 0.143?\nAnswer: 2546310.445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-12) + (-91)\/(-4). Suppose -2*s - 2*z = -38, 2*s + 0*s + 5*z = t. Calculate the greatest common factor of s and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -6*r**3 + 3*r**2 - r + 2. Give c(2).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5296309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/7)\/((4*30\/(-60))\/7).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 18*x**2. Let y(d) = 3. Let s(m) = -m + 2. Let o(q) = -3*s(q) + 2*y(q). What is k(o(i))?\nAnswer: 162*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sfpeeuf. Give prob of sequence pu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 3*p**2 + 4*p + 2. Let l be (-41)\/13 + (-4)\/(-26). Let z be (l - 1)*(1 - 2). Determine a(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, i: 1, k: 3, s: 6, d: 3}. Give prob of picking 2 v.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 - -110. What is the greatest common factor of 16 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 690868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1889.\nAnswer: 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 42324, 42324, 42322, 42318, 42312, 42304, 42294?\n\"Answer: -p**2 + 3*p + 42322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhh when four letters picked without replacement from {r: 2, h: 4, q: 8}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21.2 - -21. Let f = -15 + 10. Let w = 6 + f. Which is the third smallest value? (a) w (b) 4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3c5 + 1?\nAnswer: -3c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3965.\nAnswer: 5, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -3*v + 42. Suppose -37 = 5*m + 53. Let t = m + v. Solve 3*p + t - 1 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 876794 is divided by 26562?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160 divided by -592.\nAnswer: -10\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 213 = -2*w + 247, 3*o + 7*w + 71 = 0. Let u(s) = -8*s - 149. What is u(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 427\/122*3\/(-7). Let m = 6 - 5.5. Which is the fourth smallest value? (a) 8\/7 (b) t (c) m (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 146\/48 + 4*(-8)\/256 and -23\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**2\/3 - 12860*f\/3 - 752514 = 0.\nAnswer: -171, 6601","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 124297, 497922, 1120627, 1992412, 3113277, 4483222, 6102247?\n\"Answer: 124540*y**2 + 5*y - 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u - 3. Let q be n(1). Calculate the common denominator of 902\/70 - q\/(-7) and 17\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 99\/1721998 or -1?\nAnswer: 99\/1721998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 6*l**2 - 2*l - 3. Let x(j) = -320*j - 6396. Let w be x(-20). Determine u(w).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of 19*v**7\/21 + v**4\/8 - 155*v**3\/6 - 12*v**2 - 6. What is the derivative of l(d) wrt d?\nAnswer: 760*d**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 1 - (57 + -67)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165538 = -u + 1084913. Let z(b) = -50378*b**2 - b + 2. Let i be z(9). Let j = i - u. Round j to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 53792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 505939, 1011856, 1517773?\nAnswer: 2023690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2238083708.\nAnswer: 2, 7, 79931561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 82\/3*l**3 - 15*l + 52*l**2 + l**4 + 1. Suppose g(k) = 0. What is k?\nAnswer: -13, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5*-177*2\/(-15). Round o to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 4*b - b + 2*a, -3*b - 3*a = 39. Find the common denominator of (-39)\/b + 65\/6 and -31\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10047 - -10045. Let o(m) = -2*m**3 - m**2 - 2*m - 1. Let v be o(-1). Suppose -4*n = -y - 9, 2*n - 6 = -v*n - 2*y. Sort k, -4, n in decreasing order.\nAnswer: n, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2\/15)*a**(1\/3)*(a\/(a*a**2))\/a*(a\/((a**(1\/6)*a)\/a))\/a assuming a is positive.\nAnswer: a**(-89\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -63 - -0.148\nAnswer: -62.852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -27*i + 142. Let p be y(5). Solve 7*v + 0 - p = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21*1\/3 - 1\/(-1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u - 4*u - y + 15, -5*u + 23*y - 20 = -45 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-120)\/(-28))\/((-3)\/(-21)). Suppose -3*h + d = 12. Is 3 a factor of (12\/(-9))\/(h\/(-81))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/9 and -125\/354.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/5068 and 1\/140?\nAnswer: 25340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y - 8. Suppose 3*n - 8*n + 35 = 0. What is the remainder when 22 is divided by t(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-267 - 146 - 2*c + 301)*(1 - 2 + 4) to the form p*c + l and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/(676\/(-455))*-4.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o + t - 10, 0 = -4*o + 21*t - 19*t + 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56 + 3 - 64 + 7 + 11)*(h + h + 8*h).\nAnswer: -990*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 803 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 17*s + 23. Give p(16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, -11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -134, 278, 8\/3, 0.05 in descending order.\nAnswer: 278, 8\/3, 0.05, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*z - 3343 = -4*b - 59*z, 4180 = 5*b + 5*z. Suppose -3*q = -c - 11842, q + c - 3105 = b. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6393115 to the nearest 1000.\nAnswer: -6393000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -226898614?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*q**3*x**3 - 40*q**3 - 119*q**2*x**2 + 4*q*x**2 - 13*q + 3*x**3 + 235*x + 1 wrt q?\nAnswer: 18*q*x**3 - 240*q - 238*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4\/6 - 17*r**3\/6 - 5*r**2.\nAnswer: -r**2*(r + 2)*(r + 15)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 + 71 = -11*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -7, -15569, 21 in decreasing order.\nAnswer: 21, 0, -3, -7, -15569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2762*z - 58003. Let b be r(-21). Let o = 21\/20 + -541\/520. Is b at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000158576 rounded to 6 dps?\nAnswer: -0.000159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2979 + 2979. Which is the second smallest value? (a) d (b) 101\/2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 610, -3 in descending order.\nAnswer: 610, 6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14 - -17?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 126 and 231?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380140467?\nAnswer: 3, 7, 19, 101, 9433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293170283 is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k - 4. Let r be h(-7). Suppose 0 = 13*a - 9*a - 2*a. Solve i + a = r for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 64*y + 157. Let j be a(-48). Let g = -603 - j. Solve 9*d = d - g for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 791376 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -7, -0.11, 16\/23.\nAnswer: -7, -2, -0.11, 16\/23, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -3*n**2 + 44439*n - 149347458 = 0.\nAnswer: 5154, 9659","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -159346 (base 12) to base 10.\nAnswer: -368550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (-4)\/(-10) + 182\/70. Solve f*r - 29 = 5*t, r + 8 = -2*t - 0*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*s + 6*s**2 - 16*s)*(2 - 6 - 1) in the form k + n*s**2 + j*s and give n.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/3 of a decade?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - 3. Let f = 11.9 + 2.1. Let s = f + g. What is the nearest to s in -0.3, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*-2*-5*4)\/((-5*-3*sqrt(18))\/sqrt(2)).\nAnswer: 8*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 123 = -5*w, 0*w - 2*w = 5*o + 26. Let p = w + 26. Calculate the remainder when p is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188869875 to the power of 1\/2, to the nearest integer?\nAnswer: 13743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6166783756 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -40 and -0.3644316?\nAnswer: 39.6355684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 - -38. Which is the third biggest value? (a) -1\/11 (b) h (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 1 + 1)*(-5*c - 5 + 4*c + 0*c) + (0 + 0 - 2*c)*(-694 - 18*c + 694) + 1 + 29*c - 59*c - 2*c**2 + 32*c.\nAnswer: 32*c**2 - 8*c + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -12, 0*l - 3*l = 4*x + 4. Let o be (15\/(-20))\/(1*3\/(-44)). Suppose 3*a - 2*a = 3*f - 29, a - o = -f. Solve -f = -4*v - x for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - m + 0*m**3 + 3*m**2 + 464 + m - 4*m + 3*m. Let h be o(0). Calculate the highest common factor of 29 and h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50038579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.00341 + 2.03559. Let s = -30 + 29.961. Let p = s + v. Which is greater: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**3\/3 - 48650*s**2\/3 + 48643*s\/3 + 97298 = 0.\nAnswer: -2, 3, 48649","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -107.94586 + -0.22614. Round d to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 2*d + 3. Suppose v - 4*l + 18 = 0, 3*v - v + 24 = 5*l. Let a be n(v). Suppose -a*r = 6, -2*h + r - 1 = h. Is 2\/11 bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a**3 - 16*a**3 + a**3.\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.6 + -7.6. Let a = p - -7. Let y = -1 + 3. Is a != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3570692?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 13. Let b be d(0). Suppose -4*o - 5 = -9*o. Let v be b*o\/(-8) + 2. Put -1, 5, v in decreasing order.\nAnswer: 5, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 2\/5, -4719 in ascending order.\nAnswer: -4719, -5, -4, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 3, i: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 437014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + v**2 - v**4)*(-2 - 1 - 2) - 3*v**4 + 1 - 1.\nAnswer: 2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - -62. Suppose 10 = -5*w - z. Is (12\/w)\/((-2)\/15) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26407849, 26407847, 26407845, 26407843?\nAnswer: 26407841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16248768 by -169258.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2361 minus 0.3?\nAnswer: -0.0639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssisisisssiisssirvs. Give prob of picking 1 v and 1 r.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 4*n - 9. Let y be d(-6). Put y, 0, 1 in descending order.\nAnswer: y, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31.58 or -0.1?\nAnswer: 31.58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 41442 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**2 + 3*j + 20. Let m(y) = -y**2 + y. Give -l(x) + 3*m(x).\nAnswer: -x**2 - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 8. Let l = n - -4.0000028. What is l rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11813.445us to weeks.\nAnswer: 0.0000000195328125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 216345075259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -382*v - 384*v = -194*v - 16*v + 3336 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3*(sqrt(13)*2)**2 + -5)*1.\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3794, 3779, 3756, 3725, 3686?\n\"Answer: -4*p**2 - 3*p + 3801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 167.\nAnswer: -33.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((v**(-34)\/v)\/v)\/v)\/(v*v**(-7\/3)\/v))\/((v**(11\/5)*v)\/v**36))**37 assuming v is positive.\nAnswer: v**(-1036\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -12*p**2 + 38*p - 266. Let r(b) = 61*b**2 - 199*b + 1328. Give -21*l(j) - 4*r(j).\nAnswer: 8*j**2 - 2*j + 274","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + 26 + 22 + -103?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2213444.\nAnswer: 2, 59, 83, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 988*b - 2*b**3 - 236*b - 225*b - 247*b - 280*b.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b*d**3*j**2 + 51*b*d**2 - 2*b*d*j**2 + 5*b*d - 38*d**3*j + 100*d*j**2 - d*j wrt d.\nAnswer: -6*b*d*j**2 + 102*b - 228*d*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + z**2 - z + 10. Let w be l(0). Suppose i - 10 + 1 = 0. Which is smaller: i or w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a\/a**(2\/7)*a*a\/(a*a**(2\/7))*a*a*a*a*(a**(-1))**(2\/9))\/((a*(a*((a**1\/a)\/a)\/a)\/a*a)**(2\/7))**(-1\/32) assuming a is positive.\nAnswer: a**(454\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -6870*o - 96179. Calculate z(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 556063?\nAnswer: 463, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 22*t**2 + 33*t - 249. Calculate i(10).\nAnswer: 2281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 6 - 24. Let k be 32222*(3 + t) + 2. What is k rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/(-68))\/(2\/72).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-240)\/(-2790))\/((-64)\/24).\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 13 - 12 = 0. Let m(r) = 3*r + 18 - f - 4*r + 9. List the prime factors of m(10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4069.93822 and -43040.\nAnswer: -47109.93822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/1472408 and -3\/70?\nAnswer: 7362040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99 and 91443429.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/2 - -3 - -2. Suppose 3*b + 3*x - 27 = 0, -2*b = -0*b + 3*x - 13. Let g = 19 - b. Solve 4*m - 4 = -3*p + n, p = g*m - 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**5\/7 - 8*x**4\/7 + 12*x**3\/7.\nAnswer: -4*x**3*(x - 1)*(x + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 11?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5 - 1) + 1 - (10 - 6)) + -17 + 1?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 531*w - 515*w - 3 - 8*w**3 - 2*w**4 + 25*w**3 wrt w?\nAnswer: -24*w**2 + 102*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006278495384 to 5 decimal places.\nAnswer: -0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -248099, -496197, -744295, -992393, -1240491?\nAnswer: -1488589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*c**5 - 692*c**4 + 2024*c**3 - 2384*c**2 + 992*c - 128 = 0 for c.\nAnswer: 1\/4, 2\/5, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + -1)*(-2 - -2). Let v(i) = n*i**2 - 2*i**2 + 0*i**2 + 3*i + 4. Let j(f) = f + 6 - 5 + 0. Determine 4*j(x) - v(x).\nAnswer: 2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + 0.5. Let i = -1.181 + 1.681. Let w = -0.36 - 0.04. Which is the third biggest value? (a) w (b) i (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 840001 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 8 = u. Let s be (9\/15)\/(u\/10). Suppose -4*r = -6*r - 3*b + 126, s*r = 2*b + 202. Calculate the greatest common divisor of r and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of u**4 + 4234*u**2 - 1746*u - 2 wrt u.\nAnswer: 12*u**2 + 8468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 0, 0.5, -864, 37, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 15*s**4\/4 + 35*s**3\/3 + 25*s**2\/2 + 5*s + 20. Factor b(f).\nAnswer: 5*(f + 1)**2*(3*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v - 4*v + 8*v - v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/285600 and -179\/5280.\nAnswer: 3141600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16158 = -4*h + g, 3*h = 3*g + 6688 + 5426. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of 4*j**4\/3 - 130*j**3\/3 + 228*j**2 + 1176*j + 1. Factor u(h).\nAnswer: 4*(h - 2)*(4*h - 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -79.3931177 and -0.3.\nAnswer: 23.81793531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 14*j**2 + 12*j + 19. Let p be n(15). Let f = p - -4. Let a = f + 26. Sort a, 12, -5 in descending order.\nAnswer: 12, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.3 and -0.00736 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22.5 or -0.4?\nAnswer: -22.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 7 + 0)*(1 - 15 - 1) + (3 - 1 - 1)*(2 + 0 - 5) + 0 - 2 + 3)*(2*i**4 + 114 + 5*i**4 - 111).\nAnswer: -434*i**4 - 186","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**4\/8 - 37*k**3\/8 + 429*k**2\/8 - 1183*k\/8 - 2197\/4 = 0. Calculate k.\nAnswer: -2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((-14)\/16)\/(-7)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*k + 5*k - 15*k)*(0*k**4 - 6*k**4 + 3*k**4 + (-k**3 + 1 - 1)*(-6*k + 3*k + 2*k)) + 2*k**5 - 10 + 8 + 9.\nAnswer: 48*k**5 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 655\/2 + -2306\/7. Suppose 27*n - 30*n - 18 = 0. Calculate the common denominator of v and n + 6 + 61\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**3 + 2*b**3 - 3*b**3 + 3*b**2 - 3*b**2 - b**3 + (b + 3 - 3)*(-37*b + 7*b**2 + 37*b).\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1174 + 3662. What are the prime factors of q?\nAnswer: 2, 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -219*c + 1. Let m(l) = -2*l**2 + 185338. Give m(y(w)).\nAnswer: -95922*w**2 + 876*w + 185336","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1426 + -1426.0000966. Round u to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2. Let d(y) = -y + 7. Let w be d(7). Let z(x) be the third derivative of 0*x + w*x**4 - 3\/20*x**5 + 6*x**2 + 0 + 0*x**3. Determine b(z(t)).\nAnswer: 81*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 164\/16 - 3\/12. Solve -q*y + 2 = 52 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + 12252509681\nAnswer: 12252509681.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 6039?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111 - 101110111100010110001?\nAnswer: -101110111100010100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d**3 + d**2 - 5*d + 1512. Calculate l(0).\nAnswer: 1512","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) 1\/4 (b) -3 (c) 2 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c + 12, -9*j + 8*j = 2*c - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rccp when four letters picked without replacement from ccrpcpc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*d + 156*d + 28*d + 196*d.\nAnswer: 349*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/4)*s)**17\/(s*s**(1\/4))**37*s**(-5)*s**(-1)*(s**1)**12 assuming s is positive.\nAnswer: s**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 8*j**2 + j - 6. Calculate q(-7).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-92)\/115*(114\/(-110) - -1). Let w = 2272\/2475 - c. Determine v, given that w - 4\/9*v + 4\/9*v**3 - 4\/3*v**2 + 4\/9*v**4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4 - 114*p**3 - 118*p**2 + 114*p + 116.\nAnswer: 2*(p - 58)*(p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 3299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - s + 1. Let a(j) = 35*j**2 + 6*j - 6. What is -a(w) - 6*g(w)?\nAnswer: -29*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -3. Suppose 2*j + 2*p = 40, -j - y*p = -4*p - 11. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2667640 (base 11) in base 9?\nAnswer: -8602100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4, -17, -4, -146 in decreasing order.\nAnswer: 4, -4, -6, -17, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, m: 10, d: 3, r: 3}. Give prob of picking 1 m and 1 o.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + (2\/(-4))\/((-3)\/(-1182)). Let x = y - -371. What are the prime factors of x?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -291*h - 2108 - 2103 - 436*h + 2977*h**2 + 4212 wrt h?\nAnswer: 5954","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*n + 266 - 638 + 187 + 184.\nAnswer: -29*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 24a3c9 (base 13) to base 9\nAnswer: 1580361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 834739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 387*a - 10440. Give p(27).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1264919203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 6*d**3 - 46*d**2 - 136*d - 40 = 0?\nAnswer: -2, -1\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-71)\/((-4686)\/264)*(-3)\/27?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2769\/(-5514) - (-12)\/24. Which is the biggest value? (a) 1 (b) 0 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 695.\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 14*p**3 - 10*p**2 + 11*p + 1. Let i(q) = 5*q**3 - 3*q**2 + 4*q. Suppose 21*y + 40 = -44. Let d(f) = y*o(f) + 11*i(f). Let z = 3 - -4. Determine d(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-75)\/(-50)*(3 + -5)\/((-2)\/(-4))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 57*n + 2. What is the remainder when y(1) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 139, -5, -16\/433 in decreasing order.\nAnswer: 139, -16\/433, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 9*a**3 + a**2 - 2*a. Let s be (58\/44 + 24\/132)*-2. Let y(x) = 5*x**3 + x**2 - x. Suppose -3*l + 2*l = -5. Calculate l*y(f) + s*j(f).\nAnswer: -2*f**3 + 2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 - 1)*(5 - 4 + 1)*(i + i + 0*i).\nAnswer: 20*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 5 (b) 0.2 (c) 3\/4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 533?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*h**2 + 9*h**2 - 56*h**3 + 13*h**2.\nAnswer: -56*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*t = 158*t - 11394. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of s**3\/6 + s**2\/2 - 73*s. Let x(h) = -h + 6. Calculate -6*p(k) + x(k).\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6885, -14077, -21585, -29409, -37549?\nAnswer: -46005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 8*s**2 + 24*s - 2. Give w(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 90, 161, 272, 429, 638, 905, 1236?\nAnswer: 1637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 - 9 = -2*w - 4*a, -3*a + 31 = -4*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 0*j + 2*j)*(2*j**2 + 0*j**2 + 0*j**2).\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -123, -102, 5, 216, 549, 1022?\nAnswer: 1653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*a + 12*a + 19 - 5.\nAnswer: 3*a + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(-3)\/42*-7*0. Suppose 0*x = 8*x - 40. Solve 5*z = -15, -x*h + i*z - z + 22 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/6 of a day?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -76024, -76061, -76098, -76135, -76172, -76209?\n\"Answer: -37*j - 75987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -168 + 170. Suppose -a = 5*x + 8, -s*a - 6 = 5*x - 0*x. Suppose 2*h - 15 = -3*h. Solve -3 - 5 = g + h*c, 4*g - a*c - 24 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12256 + 18?\nAnswer: 12274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 4*j**4 - 7251928*j**3 + 3286925488036*j**2 - 19721357126592*j + 29581937789184 = 0.\nAnswer: 3, 906488","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 15.3. Sort -3\/4, -0.3, -1, m.\nAnswer: -1, -3\/4, -0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 16.1. Put 0.01, -0.5, p in descending order.\nAnswer: p, 0.01, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*m*t + 1658*m + 19*t**2 wrt t?\nAnswer: -3*m + 38*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3*((-115)\/(-460) + (-1)\/3)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 25 - 30 - (0 + -4). Is k smaller than 2\/53203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 576 + 548 = 5*d + 1174, -2*d + 2*k = 36 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 237, 236, 235, 234, 233?\nAnswer: 232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 11*h**2 - 13*h + 14. Calculate i(-12).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10485946?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-2)*u**(-2\/29)\/u)\/(u**(-17\/2)*u**(-3\/14)))**(-6\/13) assuming u is positive.\nAnswer: u**(-12966\/2639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13.8 - -14.2. Let h = p + -15.4. Which is the fourth smallest value? (a) -2\/7 (b) -3 (c) h (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-9))\/((-10)\/(-30))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*q + 142 - 38 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -787, -2558, -5313, -9052, -13775?\n\"Answer: -492*v**2 - 295*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13876?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**(-17)*o**16)**(1\/62) assuming o is positive.\nAnswer: o**(35\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14201 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1914 is divided by 137.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 365*-2*6\/(-4). Let m = u + -2245\/2. Let l = -1\/14185 - 836901\/198590. What is the common denominator of m and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 230 + -227. Sort m, 5, -8, -1\/7 in descending order.\nAnswer: 5, m, -1\/7, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/((sqrt(252)\/sqrt(7))\/sqrt(12)))\/((sqrt(2268)*-4)\/sqrt(7)).\nAnswer: -sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 117785792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 37715 = 22*j - 37771. Factor 4\/5*m**j - 72\/5*m + 324\/5.\nAnswer: 4*(m - 9)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j**2 + 0*j + 0 + 2\/9*j**3 - 2\/9*j**4 = 0. Calculate j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (175\/(-315)*-57)\/(10\/(-6))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (12 - (-8 + 13)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -21*v**3 + 5*v**2 + 36*v + 198. What are the prime factors of t(-14)?\nAnswer: 2, 103, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and (((-805)\/(-14))\/23)\/(2\/316)?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2186964685 rounded to 2 decimal places?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t**(-6)*t)\/t)**(-16)\/(t*(t*t*t*t*t*t**(2\/5)*t)\/t*t\/t**0) assuming t is positive.\nAnswer: t**(363\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 191 - 134. What is the remainder when j is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55306*f + 55306*f + 95*f**2.\nAnswer: 95*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i. Let s(d) = -2*d**2 - 4*d - 5. Let m(v) = 2*v**2 + 4*v + 6. Let o(k) = 4*m(k) + 5*s(k). What is -o(q) - 4*t(q)?\nAnswer: 2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2108659742193 and 0.4.\nAnswer: 2108659742193.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/40 of a kilometer?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 5, -o - 2 = x - 3. Let p(u) = -2*u**2 + 6*u + 5. Let a be p(6). Let j = a - -43. Solve -5*t - h - j = 0, -x*t + t = h for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1086 (base 9) in base 6?\nAnswer: 3423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*g - 18 + 40 - 8 - 9 to the form f + b*g and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 - 4*x - 2. Let r be h(4). Suppose r*p = 10*p + 24. Calculate the lowest common multiple of 26 and p.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1253*i**2 - 40*i**3 + 1246*i**2 + 42*i**3 - 3730*i**2 + 1231*i**2.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(0 + 33\/(-6)). Suppose 27*f - 1989 + 215 = 12779. What is the greatest common divisor of f and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 - (-1443)\/(-104))\/((-12)\/16)?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.74 + 3.24. Let v = b + -0.4. Let t = -1 - -1. What is the smallest value in t, v, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3075 + 3074.7. Suppose -2*m = -3*v + 31, -5*m - 4*v - 72 = -2*m. Sort m, 1\/3, g in decreasing order.\nAnswer: 1\/3, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5919 = 2346. Let f = c + -990. Does 42 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 110268?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 224 = -3*m - 195, 4*m - 348 = -4*x. Let a = -5 - -10. Calculate the greatest common factor of x and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 0 - (-1 + 0). Let y = 170 - 90. Suppose y = 3*o + p*o. What is the greatest common divisor of 16 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 65*x**3 - 173*x**3 + 2*x**2 + 2 + 106*x**3 - 1038*x + 3*x**4 - 4*x**2 as q + r*x + y*x**4 + b*x**3 + w*x**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/(-112))\/(1239\/150332)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-165)\/99*6\/335\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-102)\/(348\/68 + -5 - (-9440)\/5015)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -81 + (-20 - (-9 - 54)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 244 - 108. Let f = -1338 + r. Let u = f - -1201.99363. What is u rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**3 - 114*h + 114*h - 8 - 2*h**2 as g*h**2 + m*h**3 + p + l*h and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.06 (b) -23 (c) 16 (d) 286\/9 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a second in milliseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 y, and 1 e when three letters picked without replacement from {w: 5, d: 8, s: 2, y: 1, b: 1, e: 3}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 - 3)*(-4 - 1 + 4)*(1 - 4 + 2)*(4*w - 4*w + 2*w)*(-3316 - 135*w + 3316) to j*w + m + a*w**2 and give a.\nAnswer: 540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one tenth of a kilometer?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (16\/(-6) - -2)\/(4\/(-54)). Calculate the common denominator of 2 + -2 + ((-1095)\/t)\/5 and -83\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 264\/(-18)*18\/(-12)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/16, -44\/15, -1035 in increasing order.\nAnswer: -1035, -44\/15, 3\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = 4*d + 12441. Let r = -572 - d. What is the highest common divisor of r and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.9 - 7.2. Let k = 7 - 6. Let h = 1 - k. What is the nearest to h in d, -1, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10841 + -8530. What is the remainder when c is divided by 1149?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 49708, 49607, 49470, 49297, 49088?\n\"Answer: -18*l**2 - 47*l + 49773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 19.9. Put 3, 6, 4, s in descending order.\nAnswer: 6, 4, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 337230815 to the nearest integer?\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/45 and 16\/417?\nAnswer: 6255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-139532*30\/(-180))\/(((-2)\/33)\/(-1)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 600.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 371*p - 366*p - 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 986701611272 and 12.\nAnswer: 986701611284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 165, 383, 707, 1149?\nAnswer: 1721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3125691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15797 * 0.959.\nAnswer: 15149.323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5306?\nAnswer: 2, 7, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/3 - (-4)\/(-10). Let c = 11009\/21 + -3665\/7. Sort -0.3, c, a in increasing order.\nAnswer: -0.3, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -20*z + 25. Let y(u) = u - 1. Let h(a) = -g(a) - 25*y(a). Let l(o) = 15*o**2 + 21*o**2 - 55*o**2 + 17*o**2. What is h(l(b))?\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 23. Let r = m - -10. Let b = 6\/7 - 2\/7. What is the biggest value in -1, b, r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14692327 is divided by 441.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 5:47 PM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3003 - 0.38751. Round y to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64*x**3 - 352*x**2 - 580*x - 300.\nAnswer: -4*(x + 3)*(4*x + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*s**4 - 116*s - 180*s - 22*s**4 + 54*s**4 - 144 - 228*s**2 - 78*s**3 - 21*s**4 = 0. What is s?\nAnswer: -2, -9\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1269 - 1326. Sort u, 3, 0.\nAnswer: u, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/9 - 14\/(-63). Suppose -q = -i - o, -3*i + 3*o = -2*o - 43. Suppose 257 = i*x - 571. What is the highest common factor of 6 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7752778\/7 or -1107541?\nAnswer: -1107541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 8:14 PM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1808 is divided by 231?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeeereeereeeeeeer. What is prob of sequence eree?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/675 and 32\/68475.\nAnswer: 616275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -118 - (4 + (-101 - -51))?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9 (b) -7 (c) -1\/48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 3*p + 1. Let j be v(3). Let q(m) = 134*m**2. Let s be q(j). Suppose y + y = s. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence suu when three letters picked without replacement from {s: 1, l: 7, d: 1, u: 4, g: 2}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-9) + (-24)\/(-9). Let n be (-195)\/(-20) - y\/4. Let q = n - 2. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 2*n - 1249, 11*w = -4*n + 14*w + 2533. Let f = 1534 - n. List the prime factors of f.\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2781 - -19457\/7. What is the nearest to 0 in 2\/13, -5, g, -1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 20 = -0*c + 5*l, 3*c + 8 = -2*l. Suppose c = -4*a + 37 - 13. Solve 0 = 3*x - x + a for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 754 and 14373125.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + g - 1 = 0, 0 = -420*u + 415*u + 5*g - 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(68) - (sqrt(68)*-1*-3 - sqrt(68)))\/sqrt(4).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4\/3, -7\/2, -2, 0, 47, -22\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**5\/7 + 876*k**4\/7 - 860*k**3\/7 - 6120*k**2\/7 + 862*k\/7 + 5244\/7 = 0.\nAnswer: -2, -1, 1, 3, 437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -13825943 at least -13825935?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (80 + -10) - -98.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 3*j + 4. What is k(3)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + -4 + 42\/6. Suppose h*w + 2*y - 77 = 0, 3*y = -5*w + 8*y + 70. Calculate the remainder when 26 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 9:42 PM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fk when two letters picked without replacement from {k: 1, t: 1, d: 2, f: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**9*h)\/h)\/(h**(-4\/11)\/h))\/(h**(1\/6))**(-2\/39))**43 assuming h is positive.\nAnswer: h**(574007\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 1. Let n be 4\/r + (-324)\/(-42). Let z(w) = n*w**2 - 3*w**2 - 4*w**2. Let v(f) = 2*f**2. Determine z(v(o)).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*z + 5*s, 5*z - 44 = 4*s + 54. Let t(b) = -17*b**3 - 7*b**2 - 5*b. Calculate the remainder when t(-3) is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/(-10))\/(7\/(-42)). Suppose -h*p + 15 = 12*x - 8*x, 4*p = -2*x + 30. Solve -p + 59 = -10*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -22\/9 (b) -5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 218 = -15*d + 16*d, 2*d - 5*k - 397 = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2 = 2*w, 5*w - 2 - 3 = -2*a. Let n be 1*(-3 + w + 7). Let t(c) = 7*c**2 + 5*c. Let d(u) = -u**2 - u. Suppose 2 = 2*p - 0. Give n*d(s) + p*t(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2410 = v - 3*t, -12*v - 12094 = -7*v - 4*t. What are the prime factors of -8 + 13 - v\/2?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 282\/188 - (-1882)\/4. Calculate the highest common divisor of 10030 and g.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144362 = 3051*t - 40628 for t.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 9. Which is the second smallest value? (a) -2\/5 (b) s (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 129 and 267174867.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 9:22 AM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**2\/7 + 49692*y\/7 - 12033522 = 0.\nAnswer: -26439, 1593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*f + 40*f - 6444 = 0. Let y = -489 + f. Calculate the highest common factor of 8 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125 = -0*d + 25*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -298100*c**2 + 12*c - 4. Let x be r(5). Let n = x - 22156568. Let j = -70509012 - n. What is j rounded to the nearest one million?\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -2*k**3 + 3*k**2\/2 + 3*k - 4. Suppose -2*c - 2 - 4 = 0. Let n(t) = -t**2 + t + 1. Give c*n(s) + a(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 43 = 37, 5*x - 2*g = 3846. Does 10 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1431 (base 11) to base 4.\nAnswer: 130321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 - 17983.7?\nAnswer: -18030.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(1\/13)*s*s))\/s*s**12)\/((s\/s**(5\/4))\/(s*s**(2\/3)*s)) assuming s is positive.\nAnswer: s**(2003\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (8 - (10 - 5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 3)\/(6\/8). Suppose -y*h = -5*x + 166, -4*x - 3*h = -43 - 96. Let k = 67 - x. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 502*t**2 - 6*t + 355. Is b(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -4*n**2 + 5*n**2 - 7 + 2*n - 4*n**2 + 9. Let o(w) = 4*w**2 - 3*w - 3. Let v(p) = -3*c(p) - 2*o(p). Let q(j) = -2*j + 4*j + 3*j. Calculate q(v(d)).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194 = 6*w - 3*w - 4*j, -137 = 2*w + 5*j. What is the smallest common multiple of w\/8*(-176)\/66 and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u - 28. Let n be j(27). Let g be (n*2\/54)\/(5\/(-30)). Which is the closest to g? (a) -1\/6 (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**4 + 0*p**4 + 2 - 3*p**4 - 11*p**2 - 6*p**3 + 3*p**2 + 11*p**2 to the form c*p + d*p**4 + y + h*p**2 + b*p**3 and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 22*y**2 - 10*y - 14. Let l be t(-2). Calculate the highest common divisor of 893 and l.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -27?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 174 + -225. Is t at least as big as -99\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 at most 1\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3423 divided by -3423?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 5*t + 3. Let q = 149 - 146. Suppose 0 = -2*o - 0*i + q*i + 5, -4*i = 3*o - 16. What is z(o)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 827, 3402, 7729, 13814, 21663, 31282?\nAnswer: 42677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/732 and 71\/3.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.197 (b) 4 (c) 2 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-4 + 3 + sqrt(2) + 2 + (sqrt(32) - (sqrt(32) - sqrt(288)) - sqrt(32) - sqrt(32)) + 2 + sqrt(72) + 2)*3)**2.\nAnswer: 1188*sqrt(2) + 2502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11)\/(44\/(-24)) + 2*-2. Solve -v - h*v + 15 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-3)\/(-2))*(-12)\/80. What is the nearest to -0.3 in 6, -1\/7, q?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6050, -5923, -5756, -5549, -5302, -5015?\n\"Answer: 20*v**2 + 67*v - 6137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16 and 20694455.\nAnswer: -331111280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*r - 4*r = 150 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - -2 - (-2 - -3 - 7 - (103 - 75)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z + 10. Let a(p) = 53*p - 40. Determine -a(u) - 3*t(u).\nAnswer: -62*u + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10041279.\nAnswer: 3, 29, 211, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 + 0*w**2 + w**2)*(2*w**2 + 3*w**2 - 3*w**2) + 87*w**2 + 94*w**4 + 87*w**2 - 173*w**2 + (-w + w - 2*w**2)*(-2 + 2 - w**2).\nAnswer: 102*w**4 + w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 + -21. Suppose f - 171 + v = 0. Let x = f + -107. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24036000 to the nearest one million.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5049960 and 285?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10.91 + 12.1. Let g = -1.71 - f. What is the smallest value in 4, -2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/16 - 17\/136. Let g = 56 - 109\/2. What is the nearest to 0 in 2\/5, b, g?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 - -1 - -41003 - 11 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17324 by 4331.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*b + 10 - 10)*(503 - 501 - 49*b - 104*b).\nAnswer: 1377*b**2 - 18*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, h: 6, k: 6, m: 4}. What is prob of picking 1 m and 1 p?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 1.6\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*u + 1098 + 37 = -65 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1838 = -20*c + 24542. Suppose 1316*t - c*t = -741. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from drusesm. What is prob of picking 1 d and 1 u?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -201101?\nAnswer: -201102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/33 and 29\/4341.\nAnswer: 47751","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 7*p**2 - 4*p - 9. Let z be u(6). Let d = z + 106. Suppose 0 = -2*w + w + d. Calculate the remainder when w is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a tonne in grams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 28 = w, 0*w = 4*w - 2*m + 152. Calculate the common denominator of 77\/10 and 8\/w + (-235)\/36.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mz when two letters picked without replacement from {m: 18, z: 1}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 496 + -498.6. Let c = 20463.39905 + -20466. Let j = c - h. What is j rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12518, 12472, 12404, 12314, 12202, 12068?\nAnswer: 11912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q. Let j(o) = 1796519*o. Calculate j(b(t)).\nAnswer: -5389557*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 13*m - 14*m, -5*m = -p + 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64942.\nAnswer: 2, 19, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/505591 and 23\/3?\nAnswer: 1516773","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -219.3 times 0.302\nAnswer: -66.2286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*b - 32*b + 70*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05806 and -3?\nAnswer: -0.17418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -345*n - 278 - 226 + 504.\nAnswer: -345*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -11. Suppose 0*u - u + o + 12 = 0, j*o = u - 9. What is the remainder when 50 is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 - 337*n**2 - 19836*n.\nAnswer: -n*(n + 76)*(n + 261)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.34 - 0.06. Let k = -2\/7 + 20\/21. Which is the closest to k? (a) 1\/6 (b) q (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/(-4))\/6)\/((-1)\/(-3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 1. Let v be (-15)\/(-5)*(-12)\/18. Sort s, 2, v in descending order.\nAnswer: 2, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 788 divided by -3?\nAnswer: -788\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10 + 34a6?\nAnswer: 3496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 668\/6)*(-162)\/252. Let q = j + -70. Which is the second smallest value? (a) 1 (b) q (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 10:06 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389072 is divided by 16881.\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 2*u - 4. Let k be w(4). Let j = k + -2. Solve 2*d - 2 = j*n, 3*n + d + 22 = 3 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5879382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u**2 + 3*u - 7. Calculate the lowest common multiple of r(-3) and 40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2\/2 - 26645*d + 141991205\/2.\nAnswer: 5*(d - 5329)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o**3 - 118*o + 115*o - 29*o**2 + 30*o**2 - 3)*(0 - 1 + 2) to z*o**2 + j + y*o + d*o**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**3 + 8*n. Let s(u) = 7*u + 79. Let g be s(-12). Let c(y) = y**3 - 5*y. Give g*z(x) - 8*c(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + v + 11. Let n(j) = -j**2 - 5. Let r(t) = -3*a(t) - 5*n(t). Let c be r(8). What is the highest common divisor of c and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 54*n**2 + 58*n + 548. Does 80 divide v(-42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**3 - 3*z**3 - z**3)*(-2 + 3 + 1) + z**3 + z**3 - 3*z**3 + (1 - 1 + 1)*(31*z**3 - 18*z**3 - 22*z**3).\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3.74 (b) -3 (c) -3\/8 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22494 and 138.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2509 and 56303311?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-198)\/(-90) - (6\/5 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(77)\/sqrt(7) + -5) + -2*sqrt(1100)*3.\nAnswer: -66*sqrt(11) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 3*i. Let l be b(-3). Let o be (0 + (0 - l))\/(-3). Solve 0*d - 2*d = o for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*w = -78*w. Factor -5\/4*l**2 + 5\/4*l**4 + 5\/2*l**3 - 5\/2*l + w.\nAnswer: 5*l*(l - 1)*(l + 1)*(l + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -539 + 698*y + 539 to q*y + p and give q.\nAnswer: 698","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 a factor of 13632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 8:54 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 441585544*p - 220792790*p - 220792772*p.\nAnswer: -18*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-4 + 2 + 0 + -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 + -52 - (-17 + 3) - 103?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4*u + 5731 = 0, 5*a - 7584 = -3*u + 1986. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 87\/2 of a decade?\nAnswer: 435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1597 - 1608. Sort m, -5, -1, 2 in descending order.\nAnswer: 2, -1, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/(-35)*-18 - 2) + 96\/28. Calculate the greatest common divisor of c and 1444.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -x - 16. Suppose -x*s + 3*s = 65. Let m = 0 - s. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o + 4. Let b(i) be the first derivative of -i**2\/2 - 85. What is -4*b(l) - v(l)?\nAnswer: l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**7\/t**(-2\/7))\/(t**(1\/3)*t**(-8)) assuming t is positive.\nAnswer: t**(314\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.9485 minus 0.201?\nAnswer: -5.1495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -50.94 (b) 20 (c) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.4 or -0.0843?\nAnswer: -0.0843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/812 and -63\/20?\nAnswer: 4060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/35209 and -6\/78385.\nAnswer: 10738745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2163 - -3392. What are the prime factors of l?\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**3 - y**2 - 3*y + 245 + 2*y**2 - 240 - y**2 in the form m + j*y**2 + u*y + k*y**3 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.09 + -1.59. Let f be 75\/6 - (-1)\/2. Suppose 0 = 2*v + s - f, -s = -2*v + s + 4. Sort v, c, 2 in increasing order.\nAnswer: c, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/1060 and 8\/45.\nAnswer: 9540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1544382.882 milliseconds to weeks.\nAnswer: 0.002553543125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1569 - -1624. What is the highest common divisor of 55 and a?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m + 90. Let n be r(-17). Let y = n - 71. Suppose 8\/5*j - 4\/5*j**y + 0 = 0. What is j?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-2) + -1 + 5 + -10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 811.3454 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-35) + 32\/126\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 6*j**2 - 8*j + 6. What is v(-6)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -6*l**3 + 5*l**2 - 4*l - 2. Let x(s) = 8*s**3 - 2*s**2 + 3*s + 2. Calculate -3*n(y) - 4*x(y).\nAnswer: -14*y**3 - 7*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/6)\/(-65 - -67). What is the third biggest value in 5\/7, 4, s, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3815071.\nAnswer: 13, 293467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 731719 and 1752720?\nAnswer: 1021001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/165 and 127\/90.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 5*n. Let q be i(5). Suppose q = -m - 3*z - 20, -6*z + 2*z - 120 = 4*m. Let c = m + 51. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1467 and 11.\nAnswer: 16137","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 207745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*z**2 - 9*z**2 - 25*z**2 as o*z**2 + i + a*z and give o.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j*j**20*j)\/j*(j*j**(-6\/13)*j)\/j)\/(((j\/j**17)\/j)\/j*j\/((j*j\/(j*j\/j**(-1\/12)))\/j)) assuming j is positive.\nAnswer: j**(5999\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6.11083 and -10.\nAnswer: -3.88917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 20*s**2 - 38 + 157 - 47 + 5*s - 23*s - 55. Determine n(19).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 46205340 - 115?\nAnswer: 46205222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(3\/5))\/n**16 assuming n is positive.\nAnswer: n**(-78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 10) to base 13\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.2 (b) -1\/4 (c) -1 (d) -0.0556 (e) 0.81\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iidiioooiiiiiiii. Give prob of sequence doo.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o. Let y(t) = -9*t + 160. What is -5*d(l) - y(l)?\nAnswer: 4*l - 160","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/(sqrt(200)\/sqrt(4)) - (1*(sqrt(153) - (sqrt(153) + sqrt(153) + 1)))**2) + -1 + 3 + 0 + sqrt(2057) + -2.\nAnswer: -154 + 26*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19342 divided by 675.\nAnswer: 19342\/675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(162) + sqrt(162)*1*6 + (-1 + sqrt(162) + sqrt(162))*6)**2 + 1.\nAnswer: -2052*sqrt(2) + 58517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11 + -27 + (-36)\/96*-16. Let g = -14 - -3. Let f = -18 - g. Which is bigger: u or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15488.195*0.4.\nAnswer: 6195.278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1563*c**2 - 554871*c + 2130.\nAnswer: 3*(c - 355)*(521*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -64\/11*v**2 - 26\/11*v**3 + 0 + 72\/11*v + 2\/11*v**5 + 16\/11*v**4 = 0.\nAnswer: -9, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -153227 times 0.38?\nAnswer: -58226.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1921 = -649*i - 1324 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(320) - (sqrt(320)*-1 + 4)) - 1*(sqrt(5) + 0)*-3*-3)**2.\nAnswer: -200*sqrt(5) + 3141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4*(-501136)\/(-64)*-3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1701352 to the nearest integer?\nAnswer: 1304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5da6b (base 16) to base 11\nAnswer: -242223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 14. Suppose -3*o + i + i + 9 = 0, -27 = -3*o - 4*i. Suppose 0 = -9*m + o*m - 16. Sort 4, -3, l, m.\nAnswer: m, -3, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 405*h = 2393*h + 25536 - 85176 for h.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 11619876 divided by -138\nAnswer: -84202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/(-6))\/((-520)\/(-300)) - (24 + -20)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 23*d - 26. Calculate c(-22).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**4 + 27*g**3 + 95*g**2 + 428335*g wrt g?\nAnswer: 24*g**2 + 162*g + 190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.822128 years to decades.\nAnswer: 0.3822128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.097 + 0.097. Which is the closest to v? (a) 0.5 (b) 1\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 13303 - 4261 = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f + 52 = 15*f. Suppose -f*x + 2 = -2*j, -4*x = -x + 2*j - 8. Find v, given that 6*v - 6 + 2\/9*v**3 - x*v**2 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 176. What are the prime factors of f?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 371455a7?\nAnswer: 37145601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 852489542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*k + 38 + 66 + 31 = 0 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -333 = -4*m - 14*h + 17*h, 3*m - 255 = -3*h. Calculate the least common multiple of 252 and m.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w*w\/w**10*w)*w**(-2)*w**8*w*w*w**(-5)\/w assuming w is positive.\nAnswer: w**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*k - 21*k - 23700 = -16*k. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 149 = 805. Let z = c + -199. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 0 + -404*(-5)\/10. Suppose -714 = -2*q - d. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2771 greater than -5543\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -13*x**2 + 2*x. Let w be y(2). Let c be (-4)\/(-20) - w\/10. Solve -2*h = -3 + c for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, n: 3, o: 3, j: 3}. What is prob of sequence orj?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 6*h + 7. Let i be y(9). Let t = -17 - i. Which is the nearest to -0.4? (a) 0.3 (b) t (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*d + 1 + 0 + 2*d)*(-5*d**2 + d**2 + 0*d**2) in the form p*d + r + h*d**2 + b*d**3 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -11\/6, 0.03, -3, -1\/4?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12064162*f**3*z**3 - 1893*f**3*z**2 - 2*f**3 - 95*f*z**2 wrt z.\nAnswer: -72384972*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - (-78 + 164)) + 36.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8326 is divided by 69?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 12:52 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4761, 4764, 4773, 4782, 4785?\nAnswer: 4776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3504851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -2.1, -2.2, 0.06 in descending order.\nAnswer: 0.06, -2\/7, -2.1, -2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 606.1473 centuries to years.\nAnswer: 60614.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n*n**(-1\/9))\/n*n)\/(n*n**(3\/7))*n**(-1\/3)*n\/((n*n\/(n**(6\/11)\/n)*n)\/n)*(n**(2\/13)*n*n**(-2\/7))\/(n\/n**0)**(3\/4) assuming n is positive.\nAnswer: n**(-43583\/36036)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 8 (c) 1\/7 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 - -35. Suppose 20*t = 22*t + d. Let q be (0*3\/(-6))\/t. Is -1\/32 at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 3:45 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 401, 799, 1197?\nAnswer: 1595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 21 = 3*y - 60, 0 = 5*g + 20. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3051870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 2*s - 1, -2*q - q - 3*s + 6 = 0. Let p = 238 + -129. Suppose 5*v - 5*w - 110 = 0, -p = -5*v - 5*w + q. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 171 + -41. Let a = 200 - o. List the prime factors of a.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 23*c + 233. What is y(-7)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f. Let c(l) = 6*l. Let x(u) = u. Let p(v) = -6*c(v) + 39*x(v). Give r(p(w)).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 39*2 - (0 - 1). Let c = -51 + x. Suppose 7*w - c = 5*w. What is the greatest common divisor of w and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = i - 5*i, 24 = 3*y - 2*i. Let a = 17 - -6. What is the remainder when a is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 2 - 4)*(4 - 2 - 1) - 8 + 6 + 3)*(-l**2 - l + l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 3 + 4)*(0 - 5 + 3) - 2 + 0 + 5 - 6 + 3 + 4)*(3 - 4 + 3)*(0*r + 0*r + 2*r).\nAnswer: 24*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i**3 - 3*i**2 + 7. Let b(l) = l**3 - l**2 - 1. What is -3*b(c) + q(c)?\nAnswer: c**3 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77 - 73. Let w(u) = 2*u - 5. Let j(l) = 1. Let n(r) = 2*r - 2. Let q(k) = 2*j(k) - n(k). Give i*w(y) + 5*q(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-70) - 1804\/129360*28)\/(-1 + 2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*z - 34 = 0, -2*b - 3*z + 33 = -34. What is the highest common factor of b and 2944?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 84736563*v**3 + 183029*v + 236 wrt v.\nAnswer: 508419378*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 7*h + 10. Suppose 2*j - g - 3*g = 0, 18 = 4*j - 2*g. Calculate z(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-6*-2*sqrt(68))\/((sqrt(192)\/sqrt(4)*5)\/sqrt(12)) + 3)**2.\nAnswer: -72*sqrt(17)\/5 + 2673\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*w, 4*n + 3*w - 74 = -14. What is the smallest common multiple of 8642 and n?\nAnswer: 77778","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 4\/5*k**2 - 76\/5*k**3 + 0 - 16*k**4 + 0*k = 0.\nAnswer: -1, 0, 1\/20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of -s**2 + 0*s**5 - 14*s - 2\/15*s**6 + 0 + 0*s**3 - 1\/3*s**4. Find the second derivative of v(w) wrt w.\nAnswer: -96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 772 = -2612. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6794711 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -106 + 1\/5*z**5 + 0*z**3 - 7\/4*z**4 + 50*z**2 + 2*z. Find the second derivative of s(o) wrt o.\nAnswer: 12*o**2 - 42*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 + 623. Suppose 4*f = 5*c + n, 26 = f - c - 138. Is 12 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -4*r**2 - 6*r + 3*r + 44 + 2*r**3 - 45. Let s be v(3). Solve q + 3 = -4*l, 5*q = 2*l + s - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -27875, -27843, -27781, -27677, -27519, -27295?\n\"Answer: 2*y**3 + 3*y**2 + 9*y - 27889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1101 or -23?\nAnswer: -1101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/372 and -5\/21897.\nAnswer: 2715228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 23999619 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4359038 by 53.\nAnswer: 82246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -8*u - 16. Let n = 7 + u. Suppose n*d + 6*r - 33 = 3*r, -4*d + 2*r = -32. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 676491 and 219?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 12*p + 94. Suppose -r + 15*i = 16*i - 1, -4*i + 60 = -4*r. What is l(r)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4594 from 622.9989.\nAnswer: -3971.0011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173398 is divided by 1652.\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 309*v + 263*v + 173 - 186 + v. Let p be s(5). Let h = 4446 - p. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/15*20\/(-18)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1119255?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/302 and -73\/4.\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 1:37 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/(2\/(-6) + 0). Suppose 481*a - 478*a = 60. Suppose 0 = -r*z + a*z + 144. Is 48 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -5. Suppose -5*j - 5*n = -55, -n - 16 = -j + 5. Calculate the smallest common multiple of j and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/10)\/(8*2\/(-120)). Solve -9*r + 9 = -b*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, k: 6}. Give prob of sequence pk.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 851805861 a multiple of 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/4)\/(20\/(-1800)). Let s be -1 + 11\/3 - (-30)\/z. What is the third derivative of -17*b**4 - 95*b**2 + 87*b**s - 26*b**4 wrt b?\nAnswer: -1032*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**3 + v - 3*v + v + (-4*v**3 + 7 - 7)*(5 + 1 - 4) to the form t*v**3 + b*v**2 + k + j*v and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 8*r + 605 = 0. Let c = r + -55. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-4)*1\/5\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 13. Let y be 6\/9*(l - 4). Let i be 2 - (7 + y) - 389997. Round i to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*-6118.355\nAnswer: -183.55065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 37 = 3*t. Let d be t\/36 + (0 - (-2)\/8). Suppose 4*x = -3*r - d*x + 31, -r = -3*x - 6. What is the lowest common multiple of 35 and r?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 13512, 12922, 11960, 10626, 8920, 6842, 4392?\n\"Answer: -186*l**2 - 32*l + 13730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 44*b**6 - 40*b**3\/3 + 2*b - 209. Find the third derivative of m(x) wrt x.\nAnswer: 15840*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*6*(3*sqrt(320))**2 - (sqrt(25)\/sqrt(5)*-5 + -1 + (sqrt(20) - sqrt(5))).\nAnswer: -17279 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24 or 276\/11?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/216)\/((-679)\/28 + 22 + 1)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**2 + 22 + 18 - 59 + 19. Let h(i) be the first derivative of 0*i - 13\/2*i**2 - 1. Determine s(h(r)).\nAnswer: 338*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 288*r + 11. Suppose -8*s + 2 = 10. Let h be (s + 2\/(-6))\/(16\/(-24)). Is u(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -55 + 51. Let x be (4 + -4)*23\/46. Let d = -0.42 + 0.02. Which is the nearest to x? (a) 2 (b) d (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (78 - -1) - -55.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*p = 1839 + 1641 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 115967671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 51209, 52249, 53275, 54281, 55261?\n\"Answer: -j**3 - j**2 + 1050*j + 50161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23214 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*d - 5*d - 216. Let t = 59 - d. Is 8\/14 - 7567\/t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -437 divided by -19?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1323*j + 1316*j = -14. Factor 0 - 2\/7*w**3 + 0*w + 2\/7*w**5 + 2\/7*w**4 - 2\/7*w**j.\nAnswer: 2*w**2*(w - 1)*(w + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(832) - (sqrt(832) + -1 + sqrt(832) + sqrt(832) - sqrt(832))*-5)*-6 - (sqrt(832) - 6*(-1 + sqrt(832)))*3)**2.\nAnswer: -4328352 + 19584*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1353889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 8 = -4*q + u, 0 = 3*u. What is the derivative of -3 + 3*d**q + 0*d**2 + 0*d**2 + 0*d**2 wrt d?\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8506.\nAnswer: 2, 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(1\/(-84))*1812800\/132. Suppose -11*p = 5*p + c. What is p rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1.5, 0.5, -1\/116.\nAnswer: -1\/116, 0.5, 1, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2367*r**6 - 2*r**2 - 794*r wrt r.\nAnswer: -284040*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 191 + -75. Suppose -g = 3*k - 83, 0 = -4*k + 3*g + g + p. Calculate the smallest common multiple of 14 and k\/182 + (-492)\/(-13).\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 531 - -167?\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -1614?\nAnswer: -1613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 340418, 680835, 1021252?\n\"Answer: 340417*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-414234)\/(-30684))\/(2\/12)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 4*d**2 - 2*d + 4. Let i be b(-4). What is the greatest common divisor of 108 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-24)\/(j\/(j\/(j**(-5\/4)\/j))))**(-19\/4) assuming j is positive.\nAnswer: j**(1653\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -648.93 - -643. Let d = -6 - z. Let c = d - -0.04. What is c rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 5*w - 43, 0 = 4*x + 4*w - w - 53. What is the highest common divisor of 51 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -105 - -186. Suppose -c*v - 20 = -83*v. Differentiate -6*k + 23 - 11*k**3 + 6*k + v*k**3 wrt k.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -441439, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141981.\nAnswer: 3, 7, 6761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t + 6*t + 10*t = -46*h - 163, 0 = -3*h - 3*t - 24 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*7*(-8)\/140)\/2.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-20)\/1215*-3)\/(90\/135)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -162.7 - 0.2.\nAnswer: -162.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1612141 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -6. Let v be (-1)\/(-2) + (-3)\/(-6). Let a = -1\/21 - -55\/273. What is the third smallest value in v, a, n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195*v**2 - 3*v**3 + 195*v**2 + 3*v**3 - 2*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19.76 - -0.24. Let w = 4.63203 + 15.3682. Let r = v - w. Round r to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8455410, 16910843, 25366276?\nAnswer: 33821709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84236341?\nAnswer: 7, 245587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12660)\/(-11394)*153\/5.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1330, 8626, 28412, 66928, 130414, 225110, 357256?\n\"Answer: 1040*d**3 + 5*d**2 + d + 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1163423 to the nearest integer?\nAnswer: 1079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*z + 50*z + 49*z - 18*z in the form x + u*z and give u.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.288 + 0.032. Let o = -1.32 + l. Is o bigger than -34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1068989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 5*f. Let m(d) = -2*d**2 + 6*d + 101. Calculate m(x(g)).\nAnswer: -50*g**2 + 30*g + 101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.27 + -2.73. Let w = u + 3.00000025. Round w to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1969933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 11:01 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 820*f**2 + 810*f**2 - 1629*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 140130 + -140129.8. Let v = -24 + -10. What is the smallest value in p, v, 1\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + 20*i - 9*i.\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4492*b. Let u(q) = -2*q**2. Calculate u(o(j)).\nAnswer: -40356128*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q**2 - q + 4 - 4*q**3 - 9 + 5*q**3 - 3*q + q. Suppose w = -h + 9, 9 = 3*w + 2*h - 15. Is 17 a factor of x(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2977*b + 1. Let c be a(-2). Let n = -119119\/20 - c. Find the common denominator of -89\/16 and n.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, v: 1, p: 3, s: 2}. What is prob of sequence pss?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -68.53776 times 0.6\nAnswer: -41.122656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 51\/13, 5 in decreasing order.\nAnswer: 5, 51\/13, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-15)*-1)\/((-8)\/(-10))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13723 + 6862 + 6861 - 28987*q**2.\nAnswer: -28987*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-515)\/(-206)*(114\/260 + (-3)\/6). Let i = -10 - -33. Which is the second biggest value? (a) i (b) q (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1111011011101 (base 2) to base 14\nAnswer: 2c45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8590639?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3140462 less than 39.5?\nAnswer: -3140422.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49 - 41. Suppose -u*b + 17 = 1. Solve -2\/9*i**b + 2\/9 + 0*i = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -211, 2\/15, -3\/2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.692386031 - -5.6923. Round b to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3\/7 + 84552*f**2\/7 - 64382916*f - 2156749940592\/7.\nAnswer: -3*(f - 15574)**2*(f + 2964)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12104 is divided by 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-52.090924\nAnswer: 20.8363696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 91314.07g in milligrams?\nAnswer: 91314070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-84*d**3 + 647*d**3 + 511*d**3)*(2*d - 2 + 2 + (0 + 3 - 4)*(2 - 2 - 2*d)) + (-3*d**2 + d**2 + 3*d**2)*(4*d**2 - 2*d**2 + 0*d**2).\nAnswer: 4298*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1888734493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 9422?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/12)*b)**(-2\/23)*(b*b**(-21))\/(((b\/b**(4\/3))\/b)\/b))**(2\/11) assuming b is positive.\nAnswer: b**(-2449\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 8. Suppose -6*f + l*f = 36. Let t(m) = -m**2 - 12*m - 10. Is t(f) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 20, 8.\nAnswer: -3, 4, 8, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*n - 3 + 4 - 9*n)*(-2 + 0 - 1).\nAnswer: -15*n - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 22*l. Let i(q) = -4*q + 1607. Determine p(i(j)).\nAnswer: -88*j + 35354","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16046842 and 112.\nAnswer: 128374736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9300.817 decades to millennia.\nAnswer: 93.00817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, c: 3, g: 10}. Give prob of sequence fc.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 - 1)*(-9 + 19 + 30) + (2 - 4 + 4)*(0 + 1 + 0))*(-6*c**2 + 4 - 7*c**2 + 15*c**2).\nAnswer: -156*c**2 - 312","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(-1 + sqrt(52)))**2 - ((sqrt(13) - sqrt(13)*2)*4 - (sqrt(13)*-1 + sqrt(13))*3)) + 3.\nAnswer: -32*sqrt(13) + 480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0021219 rounded to five decimal places?\nAnswer: -0.00212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 7*y**2 + 38*y - 145. What are the prime factors of g(15)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 641, 550, 429, 278, 97, -114, -355?\n\"Answer: -15*b**2 - 46*b + 702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jia when three letters picked without replacement from aaajaaaiaatiaia.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 603.7928 grams in kilograms?\nAnswer: 0.6037928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-3 - 0 - (-592)\/128).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -719 and 0.5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 5*a**3\/6 - 4*a. Let s(h) = 3 - 11*h - 3. Suppose 3*p + 4*u - 8 = p, 0 = 4*p - 2*u - 16. What is p*s(r) + 9*d(r)?\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 37 = 3*h, 3*h - 15 = -m - 2. What is the remainder when 30 - (3 + (1 - 3)) is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 + -2.1. Let o = z + 1.9. Let r be 2*(1 + 7\/(-4)). What is the nearest to o in -4, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from kvcvkvccvvvcvvck?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8908?\nAnswer: 2, 17, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p**(-4)*p)*p)\/(p\/p**(1\/4)*p))\/(p**(-3\/7)*p*p**(-5\/6)\/p))\/(p**(-2\/11)\/p**(-2\/3)*p*p*p**1*p*p**(-5)*p) assuming p is positive.\nAnswer: p**(3721\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2180627\/3 at least as big as -726877?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 5*s - 4, 4*s - 7*k = -2*k + 18. Suppose 133 - 469 = -s*i. Calculate the greatest common divisor of 42 and i.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 10:47 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -2*u - 32. Let j = 36 + u. Solve 0 = 2*n + 2*n - j for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + (4 - (0 + -2)). Suppose 0 = 14*r - 11*r - 5*k + 20, 4*k = -4*r + 16. Solve r = -b*m - 0 - 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1032413 (base 5) to base 13.\nAnswer: -8189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -75*i + 5. Is 12 a factor of v(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*l**2 - 26*l - 8*l**3 + 46*l - 20*l wrt l.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2 - 26*t - 52. Let v be n(15). Let z(j) = -j**3 - 1. Let r(p) = 5*p**3 + 4*p**3 - 5*p**3 + 2*p**3 + 10. What is v*z(u) + r(u)?\nAnswer: -2*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 6*q**2 - 1. Let l(v) = 17*v**2 - 146*v - 5332. Let o(z) = 6*k(z) - 2*l(z). Factor o(t).\nAnswer: 2*(t + 73)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -17*q - 742. What is p(-44)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-576)\/(2 + 1) + 1. Is 10 a factor of (20\/(-12))\/(p\/(-48) - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1081920 and 50190?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9482, 37924, 85328, 151694, 237022, 341312, 464564?\n\"Answer: 9481*d**2 - d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 3 - 1. Suppose 2*u - 23 = -5*m, 0 = -2*u - c*u + m + 13. Is 39 a factor of 11*u + (-1 - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1830 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -3, 1.\nAnswer: -3, -0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, j: 5, e: 1, d: 1, g: 2, m: 2}. Give prob of sequence egm.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 15*n + 50. Let b be r(-8). Let i be (1 - (-8)\/b)\/((-2)\/24). Solve -p + h = -i*p + 10, 0 = 4*p + h - 13 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -79 + 289. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**4 - g**4 + 4*g**4 + (-2*g**3 + 5*g**3 - 5*g**3)*(-1 + 1 + g) + (0*g**2 + 0*g**2 + g**4)*(5 - 4 - 3).\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 118.4 + -118. Let j = -29 - -27.9. Let u = -2.9 + j. Which is the biggest value? (a) 3\/4 (b) v (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 667\/38 - 22\/57. Calculate the common denominator of o and 49\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 4*h + 9 = -d, 5*h + 3 = d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 16*v - 3*v)*(-13*v**2 + 19 - 19 - 1 + 1 - v**2 + (-v + v + 2*v)*(3*v - 2*v + v) + 0*v**2 + 3*v**2 - v**2 + 3*v**2 + 3*v**2 - 4*v**2).\nAnswer: -66*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20141120 divided by -5035280?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 g when two letters picked without replacement from ggxzllzkbklz?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 2\/64893?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3 + 7144*g**2 - 527972*g - 1084488.\nAnswer: 4*(g - 73)*(g + 2)*(g + 1857)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -4)\/((-4)\/46). Let n be 161\/84 - 3\/(-36). What is the greatest common factor of p and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 991413 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkyk when four letters picked without replacement from yjkzkkjk.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -14422*j**2. Let c(r) = 120*r**2. What is c(y(a))?\nAnswer: 24959290080*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of 151*m**4\/24 - 20*m**2. Suppose 0 = -3*t - 6 + 27. Is k(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 7, 3 in ascending order.\nAnswer: 2\/3, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 85810467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -5*u + 140. Let y be x(14). Let r be 2\/14*245\/y. Let l = 11 - 15. Which is the second biggest value? (a) r (b) l (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4478286 rounded to the nearest 100000?\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13762085 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(2299) + sqrt(2299) + (sqrt(2299) - sqrt(2299)*-5) + -4)*-6)**2.\nAnswer: -101376*sqrt(19) + 21189888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -489, -501, -527, -573, -645?\n\"Answer: -m**3 - m**2 - 2*m - 485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - (-1 - 1))*(7 + -8). Let z(k) be the first derivative of 0*k + 14 + 1\/2*k**m. Let l(x) = -12*x. Calculate l(z(b)).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of s**7\/63 + 91*s**6\/90 + 124*s**5\/5 + 264*s**4 + 384*s**3 + s**2 + 3. Solve c(w) = 0.\nAnswer: -12, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4635625 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p = 648 - 628. Let u be 4 + ((-85)\/17 - (1 - 2)). Solve u*s + 2 = p*s + b, -s + 2*b = -6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 920, 2, -5, -98, 5, -4, 4 in descending order.\nAnswer: 920, 5, 4, 2, -4, -5, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -y**6 + 66212270*y**5 + 88677*y**2 + 2423 wrt y.\nAnswer: -120*y**3 + 3972736200*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 1369*j**4\/108 - 74*j**3\/27 + 2*j**2\/9 + 39*j + 15. Solve v(a) = 0.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, i: 3, f: 1}. What is prob of sequence fm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.02 - 0.38. Let o = f + 1.8. Let y = o + -6.2. Round y to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2793310524?\nAnswer: 2, 3, 77591959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(125) + -4 + sqrt(125))*-5*6)**2*-6.\nAnswer: -86400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1010 (base 2) to base 11\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35.367 - 35.3669006. Round s to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2418 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of 19*i**2\/2 - 10*i - 12153. Let o(t) = 8*t. Give p(o(q)).\nAnswer: 152*q - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2813 and 5820.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2\/7 + 158517228*q\/7 + 2093975964400332\/7.\nAnswer: 3*(q + 26419538)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*h = 16, -m - 3*h = -15 + 1. Let l(k) = 9*k**2 - 20*k - 23*k**m + 8*k**2 + 53 + 7*k**2. Let v be l(25). What is v rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6050)\/75 - 1\/3. Let o = 147 + v. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3581\/140 - 99\/35. What is the common denominator of f and -44\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 753?\nAnswer: 4518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 17\/4 of a kilometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 6.8. Let j = q - 0.8. Which is the closest to 0.3? (a) j (b) 1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31125 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 0*b**4 + 0*b**2 - 6 - 4\/5*b**5 + 0*b - 3*b**3. Find the third derivative of m(g) wrt g.\nAnswer: -96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13\/387 + 128\/1677. What is the common denominator of (-7)\/(-1456)*-4*74 and b?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pm when two letters picked without replacement from mrvpmpu.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 25 - 1933 = 0. Let w = 311 + o. Which is bigger: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -69 divided by 4\nAnswer: -69\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 - 6. Let k = i + 70. Suppose 85 = 4*f + k. Does 16 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**2 - 10*b + b**2 - 16*b + 184 + 68*b - 5619*b**6 - 44*b wrt b.\nAnswer: -674280*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 + 26.6. Which is the third smallest value? (a) -3 (b) q (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -4*m + 12, -3*h - 835 = -m - 832 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -759, 1, 1.4.\nAnswer: -759, 1, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**2 + 6388234*y - 19164693 = 0. What is y?\nAnswer: 3, 6388231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, t: 1, s: 4}. What is prob of sequence ss?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.315 times -5\nAnswer: 1.575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1112121 (base 3) to base 8.\nAnswer: -2143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15569094 by -82.\nAnswer: 189867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) - -1*-2*sqrt(114))\/(sqrt(96)*5).\nAnswer: -sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**3 + 4*i**2 - 4*i**3 - i + 4*i**2 - 15471 + 16300 as d + s*i**2 + y*i**3 + v*i and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -108167566 divided by -4160291?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 48515, 48523, 48531, 48539, 48547, 48555?\n\"Answer: 8*q + 48507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-32)\/12)\/((-10)\/15). Solve 2*l - f = -6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o**2 - o**2 - 44*o + 25*o to the form i*o + n + z*o**2 and give i.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 353*c**2 - 8*c - 28. Let p be h(-8). Suppose -6*b - p + 79262 = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 242233322 (base 5) to base 16.\nAnswer: 114c13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*v + 212 = 32*v. Solve a + 12 = v*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108755 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/20*-2*-2*(-5)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-25512)\/70 + (-1)\/7. Let l = v - -366. Is l smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 896 + -489. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4)\/((-4)\/(-18)*276\/(-736)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i + 17. Calculate the remainder when f(-6) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 0*o = 4*z - 11234, -5*z - 33770 = -3*o. Suppose -3*c - h + 3464 = 11899, -4*c - o = 2*h. What are the prime factors of -3 + (2\/(-5) - c\/25)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -0.4, 0.034, 4.9, -163?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12390.3 * -9.\nAnswer: 111512.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100180 minus 1375426?\nAnswer: -2475606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 10*s**2 - 8*s - 59. Let z be i(-10). Let q be 14 + 0\/(5 + -2). Calculate the greatest common factor of q and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 6*q**2 - q - 6. Let g be f(5). Let x be -64 + 48 + (-2 - (-2)\/(-2)). Let k = x - g. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -2 + (-4 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -13*g**3 - 1. Calculate the least common multiple of j(-1) and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 45, 67, 89, 111?\n\"Answer: 22*f + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -0*h + 12. Let n be ((-4)\/(-2))\/((-2)\/1). Put 4, -0.3, n, h in increasing order.\nAnswer: h, n, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 429025 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5148*0.0957\nAnswer: 492.6636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -259 - -5?\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 252, 525, 838, 1185, 1560, 1957, 2370, 2793?\nAnswer: 3220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**4 + 2*g**2 - g + 3. Let l(r) = 85*r**4 + 6*r**2 - 3*r + 741. Let j(b) = -l(b) + 3*p(b). Find the first derivative of j(m) wrt m.\nAnswer: -328*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 10\/3*h**3 + 0*h**2 - 16 + 0*h. Let m(p) = p. Calculate d(m(w)).\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*m + 1012 = 2*m + 109*m - 49*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 9:02 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 12720142+-0.242\nAnswer: 12720141.758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1884, 3757, 5624, 7485, 9340?\nAnswer: 11189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -76000 - -76002. Let d(m) be the third derivative of -m**4\/24 - m**3\/6 - m**2. Give d(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**4 - 9541*c**3 - 16*c**2 - 24*c + 85791 wrt c?\nAnswer: 12*c**2 - 57246*c - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11403989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2013, 1320, 627, -66?\n\"Answer: -693*r + 2706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 + 14. Is y at most -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31 - (16 + -28 - -33)) + 26.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/1*2\/(-6) - -2. What is the second biggest value in i, 5, 0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 76190355*l**4 + 5*l + 580151357.\nAnswer: 304761420*l**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w. Let n = -21 + 36. Let r(h) = 3*h + 17*h + n*h - 5*h + 1. What is m(r(g))?\nAnswer: -60*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, 1\/6, 61?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -496*k**2. Let o(a) = -89*a**2. What is o(j(b))?\nAnswer: -21895424*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/5 of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 178328942611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 112677 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**3*o**3*s + 100*f**3*o**3 + 2*f**3*o*s + 2*f**2 + 8*f*o*s + 7*o**2 wrt o?\nAnswer: 12*f**3*s + 600*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6179, -2913, 353, 3619, 6885?\nAnswer: 10151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z + 243 = 9*z. Which is the nearest to z? (a) 1 (b) -0.2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3*p - 7*p + 84 = 0, 4*p - 21 = -x. Let m(a) = -x - 2*a + 15 - a**2 - 6*a. Determine m(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1075.3*2.5\nAnswer: -2688.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -c**5 - 25*c**4\/4 + 20*c**3 + 90*c**2 - 4169. Factor z(o).\nAnswer: -5*o*(o - 3)*(o + 2)*(o + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-3) + 104\/12. Let x = 16 + -13. Suppose -i - x*i = -u. Solve -8 = -2*p - 5*o, -5*p - 3*o + 3 = i for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xrq when three letters picked without replacement from vvvvvxrvvvvsvqrxzx.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u - 16920 = -8*u. What is u rounded to the nearest one hundred?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/63)*t*t**(-8\/11) assuming t is positive.\nAnswer: t**(167\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -5*t - 12. Let p(m) = 5*m + 18. Let o be p(-4). Let b(v) = -4*v - 6. Let i be b(o). Solve l = -i*l - t for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -103.4 - 5.6. Sort c, 3, -1\/4 in descending order.\nAnswer: 3, -1\/4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q - 3. Let y be t(1). Suppose 3*r + y = 1. Solve v + 3 - 5 = r for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - 16*m + 7. Let u be p(-11). Let k be (-26)\/(-65) + u\/(-80). Let r be (0 + -2)*4\/(-8). Is r less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 784*w*y - 1397*w wrt y?\nAnswer: 784*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -551, -2019, -4371, -7607, -11727, -16731, -22619?\nAnswer: -29391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 7) to base 2.\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15 + 35?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7465*j - 12034?\nAnswer: -7465","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -2 - -1 - (-193 + 191).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ihjlhni. What is prob of sequence hii?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jxx when three letters picked without replacement from {x: 3, d: 2, j: 3}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/369 and -83\/6.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 10*j + 14. What is g(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -57*x**2\/2 + 35403*x\/2 - 1863 = 0?\nAnswer: 2\/19, 621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1000000 (base 3) to base 13\nAnswer: -441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/37 and -71\/8?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 0)\/((-1)\/3). Let q be 8\/s + (-34)\/51. Suppose -2*c = q*c. Let p(x) = -x - 4. What is p(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 271\/7 - 31721\/819. What is the nearest to u in -4, 1, -3, -4\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 82556378*i**2*u**5 + 12063*i**2 + 1641*u wrt u?\nAnswer: 1651127560*i**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130d23 (base 15) to base 11.\nAnswer: -574949","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 7:06 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 52\/(-65)*5 - (-4 - 1). Sort -4, 7, -2, v in descending order.\nAnswer: 7, v, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -5. Let t = s + -4. Let l = -7.1 - -7. What is the nearest to l in -0.3, -0.5, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -p + 8, -h - h = h + h - 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/(-10))\/((-4)\/(-340)) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39554 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-210)\/84*1)\/(3\/(-108)).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10.9 + 10. Which is smaller: d or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 11*z + 3. Let d be a(-3). Let n = 34 + d. Suppose 175 = n*o - 89. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 44662 = -3*j, -4*j - 5*w + 59554 = -8*w. What is the hundreds digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/175995?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16446 = s + 3*b - 16430, 4*s = 5*b + 55 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + (-2)\/20)*43\/(19264\/256)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhi. What is prob of picking 1 h and 1 i?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-2)*20\/(-40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 4*p - 1. Let n be v(5). Let z be (0 + 2 - n) + 0. Let r = 180 + -177. Put r, -4, z in increasing order.\nAnswer: -4, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/45 + -1)*7\/(140\/25).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 1 = 17. Let x = i - 6. Let s be (-20)\/(-6)*6\/5. Sort x, -3, s in descending order.\nAnswer: s, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/((-1377)\/687 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194622043 is divided by 113.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 123638613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 11*d + 13*d = 30, a - 3*d - 35 = 0. Suppose 2*n - 5*v + 20 = 0, 0*v + a = 5*v. Let p = -20 + 22. Solve b - p*b = n for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2143\/3 - 712. Let s(f) be the first derivative of 6 + c*f**3 + 0*f + 2*f**2. Find the second derivative of s(i) wrt i.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 119, 166, 213, 260, 307?\nAnswer: 354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (140\/(-2695))\/((-16)\/(-352)).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 10*g**2 + 39*g + 51. List the prime factors of u(-8).\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 - 4686587879\nAnswer: -4686587879.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -4*j + 24. Calculate k(9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -7*d**2 + 1. Let x be g(1). Let v = x + 6. Suppose 0 = 2*j - v*j - 42. What is the remainder when j is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1884*-35\nAnswer: 65940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ga when two letters picked without replacement from fgaffffffgagfff?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -a - 0*a. Factor o + o - o**a + 0*o**2 - 3*o**2 + 2*o**2.\nAnswer: -o*(o - 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000434 to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25371*i**3 - 382*i**2 + 32*i?\nAnswer: -152226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m + 24 = -9*m. Is 25 a factor of (87\/m)\/((-2)\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, e: 4, u: 3}. What is prob of sequence uuue?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/7 (b) 30 (c) 3 (d) 6\/13 (e) -10 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/180 + ((-55)\/(-9) - (-13 + 19))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 13) in base 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 250 + -250. Let b(q) be the second derivative of -1\/2*q**3 + 3*q**2 - q + 1\/10*q**6 + 3\/20*q**5 + y - 3\/4*q**4. Factor b(d).\nAnswer: 3*(d - 1)**2*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14510, 13348, 12162, 10946, 9694?\nAnswer: 8400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*c**3 - 23409823 + 23409823.\nAnswer: -39*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -219226344*h - 757811559 wrt h.\nAnswer: -219226344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 999267401 a multiple of 558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29225 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 289452 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34584*b**3 - 17298*b**3 - 17285*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 648.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + z = 285. Suppose 78 = 2*g - 15*g. Let j = z + g. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -i. Suppose 3*p = 3*s, 0*p - 4*p = i. Suppose s = -5*g - 0*g + 14215. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**15\/n**(-15\/7) assuming n is positive.\nAnswer: n**(120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/4)\/(((-1)\/(-10))\/(-1)). What is the highest common factor of h and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2594398, 5188752, 7782988, 10377046, 12970866, 15564388, 18157552, 20750298?\nAnswer: 23342566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 135 = -2*s, 2*s + 155 = f - s. Let h = f + -127. Solve 3 = 3*m - 6*m, -m = 5*t + h for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23518 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, a: 1, m: 1, t: 2, y: 6}. Give prob of sequence myut.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 + 3*u**2 - 3*u**2)*(-17*u + 28*u**3 - 20*u + 38*u) + 2*u**5 + 0*u**5 - 3*u**5.\nAnswer: 55*u**5 + 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 28*n - 50. Let o(k) = -14*k + 25. Let j(i) = -3*c(i) - 7*o(i). Let v be j(12). Let l = v - 26. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w - 6. Let g be r(-9). Suppose 6*k = g*k. Suppose k = -f + 69041 + 730959. What is f rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8020 is divided by 64?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, o: 2, m: 2}. Give prob of picking 1 o and 3 x.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17327 - -9014. Let y be i\/42 - (-5)\/(-30). What is the greatest common factor of y and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, -86, -25, 22.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 20\/8)\/(((-102)\/252)\/(-17))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(1056\/(-55))*-8. Solve -4*s - f = -0*f - 13, -4*s = q*f - 17 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11874 is divided by 1693?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -143121010 (base 5) in base 9?\nAnswer: -1368878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = 3*f - 3*p + 27, 0 = -2*p. Let q be ((-3)\/f)\/(1\/120). Round q to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 485*s. Let y(u) = 526*u. Calculate z(y(a)).\nAnswer: 255110*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**3 - 3*n**3 + 3*n**3 + 3*n)*(23 - 25 + 63) + (6*n**2 - 2*n**2 - 3*n**2)*(2*n + 0 + 0).\nAnswer: -59*n**3 + 183*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 6. Let g(v) = v**2 - v - 3. Let h be g(0). Suppose 3*r - 15 = 3*j, -r + 21 = -7*j + 2*j. Sort h, r, s.\nAnswer: h, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -10*j - 3. Let d(h) = 5*h - 6. Let g(o) = -24*o + 30. Let n(w) = 14*d(w) + 3*g(w). Let i be n(4). Calculate the remainder when 49 is divided by q(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -82*n - 203. Let f be j(-6). Calculate the greatest common divisor of f and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 2:18 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 3. Let b(a) = -a - 26. Let d be b(-18). What is the third smallest value in -2, d, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -5*t - 59. Let l be n(-17). Calculate the greatest common factor of l and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2253, -8863, -19879, -35301, -55129, -79363?\nAnswer: -108003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 81 divided by -9\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 811, 5903, 19733, 46675, 91103, 157391?\n\"Answer: 729*c**3 - 5*c**2 + 4*c + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15746, -14842, -13946, -13064, -12202?\nAnswer: -11366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 47 = 159. Let l be 66\/35 + 8\/m. Is 1 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(13) + 1)*4 + 3 + (sqrt(143) + 2*(sqrt(143) + sqrt(143)*-1))\/((sqrt(121)*2)\/sqrt(11)))**2.\nAnswer: 99*sqrt(13) + 1537\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1195000 to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -6*v**2 + 14*v - 3 + 8 - 2 + 9*v**2. Calculate the remainder when 23 is divided by d(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.011 from 82451997.\nAnswer: 82451996.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20.036 + 20. Let j = l + 0.053. Put j, 4\/5, 1\/2 in ascending order.\nAnswer: j, 1\/2, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212531 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 144*x**2 - x - 7. Let m(t) = 240*t + 81*t - 408*t + t**2 + 87*t. Give g(m(y)).\nAnswer: 144*y**4 - y**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75 and 2325?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -63931, -127866, -191801?\n\"Answer: -63935*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o + 85. Let v = 77 - 94. Does 12 divide w(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 628109377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10923370, -21846747, -32770138, -43693549, -54616986?\nAnswer: -65540455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9*-1*(2 + (-10)\/3). Suppose 7*u - z*u = 500. Let y = u + 287. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + sqrt(17))*-6 + (sqrt(612) + sqrt(612) + -1)**2 + sqrt(612) + 4.\nAnswer: 18*sqrt(17) + 2381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30676*a + 30496*a + 6886 + 2654 for a.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6 - 268*d - 60*d**4 - 192*d - 874*d**3 + 131*d + 59*d**4 wrt d.\nAnswer: -12*d**2 - 5244*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**3 - 78*w**2 + 173*w - 3602. Give m(38).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1453276?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*d**3 + 27*d**3 - 30*d - 45*d**2 - 22*d + 212*d**2 - 81*d**2 wrt d.\nAnswer: 24*d + 172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 5)*(-1 + s**2 + 1) + 36*s**2 + 159*s**2 + 401*s - 401*s.\nAnswer: 200*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 21.8. Let b = -4 - g. What is the third smallest value in -0.3, b, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20579420 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (11 + -2 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -32*d - 23 + 14 + 13. What are the prime factors of g(-4)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -241*j**3*z + 6*j**3 - j**2*z - j**2 + 42*z - 2 wrt j.\nAnswer: -1446*z + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 74382 and 196?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 163 by 155179.\nAnswer: 163\/155179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -261\/55 and -6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.261129 and -0.4?\nAnswer: 0.661129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.98982 + 0.01018. Let z = 18 + 14. Which is the closest to -2? (a) z (b) 0 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**8))\/b**(-14\/9))\/(((b\/b**(-2\/31))\/b)\/b**(-11)) assuming b is positive.\nAnswer: b**(-421\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36.66 - 2.56. Let s = -34.6717 + w. Let r = s + 0.56. Round r to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1642550348.\nAnswer: 2, 53, 163, 47533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 + 2)*(-2*s + 6*s - 2*s) - 2*s - 3*s + 0*s)*(-46*s**4 + 58*s**4 + 79*s**4) + (-2*s + 2*s - 4*s**2)*(2 - 2*s**3 - 2).\nAnswer: -265*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5090, -40911, -138256, -327923, -640710, -1107415, -1758836, -2625771?\nAnswer: -3739018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 0)\/(17\/(-34)). Let v(o) = 3*o**3 + 0 - 5*o + 3 - a*o**3 + 7*o**2 - 3*o**2. Is v(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oqoqxoooqqqqhqqqqqqq. Give prob of sequence ox.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 54887\/541229 - 1\/6851. Let w = -7 - -6. Which is greater: w or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 875.9961 minutes in days?\nAnswer: 0.608330625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y**3 + y**2 - y - 1. Calculate the remainder when w(-2) is divided by (3 + -9)*(4*-1 - -2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8072*u**2 - 24399*u**2 + 8082*u**2 + 8242*u**2 + 9*u - 9*u.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2725?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -9*t**4\/2 + 2*t**3\/3 - t**2\/2 - 2*t + 3. Is x(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (0 + (3 - 1))) + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 5*t - 2. Suppose -5*r + 4 = -4*r. Let o(d) = d**3 - d. Let v be o(0). Suppose v = -3*m - 2*h + 6*h - 22, -5*m - 26 = r*h. Calculate k(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f = 20*f - 13*f + 3667. Put 2, -1, f, 9 in ascending order.\nAnswer: f, -1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q + 1 - 1 + (0*q - q + 0*q)*(3 - 2 - 2) - 7 + 8*q + 7 + q - 5*q + 2*q + 3*q - q - 3*q + (4 + 1 - 3)*(0*q - 3*q + 5*q) - 3*q + 4*q + 0*q.\nAnswer: 13*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 273*k + 281*k - 548*k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -94262714 * -0.1.\nAnswer: 9426271.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wzz when three letters picked without replacement from {g: 5, z: 2, w: 8, q: 2, k: 2}?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -333 + -1524445?\nAnswer: -1525222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 13 and 338718\/131 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -22. Suppose -3 = -3*n + 3. Suppose -5*y = -6*q + 3*q - 4, -2*q = -3*y + 2. Solve -m + n*z - 5 = 0, -m - j*z + 1 = -q*z for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.13976 millilitres to litres.\nAnswer: 0.09313976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.989 to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jv when two letters picked without replacement from {q: 1, c: 6, v: 2, j: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/16)\/(3 - 2)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1947191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i = -17 + 25 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 11*a**3 - 41*a**2 + 6*a - 9. Let q(v) = 3*v**3 - 11*v**2 + v - 3. Let t(j) = -7*q(j) + 2*u(j). Let p be 4\/(-6) - (-28)\/6. What is t(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-270)\/(-35) + -2 - (-2)\/7. Suppose 5*z - q*z = -2132. Suppose r + 3*r - z = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-90) + 186\/(-45)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 30 = -5*v, -h - 6*v = -v + 24. Let o be (-4 - -1)*(-4)\/6. What is the greatest common divisor of o and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((w**(-31)*w)\/w*w)\/w**(4\/13))**(-47))**(-7\/4))**(23\/4) assuming w is positive.\nAnswer: w**(-1490699\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in 3\/82, -9\/2, -0.5, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**4\/s)\/s*s**(1\/9)*(s*s\/s**(14\/9))\/s**9 assuming s is positive.\nAnswer: s**(-58\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 9*k**3 - 15*k**2 - 33*k - 5. What is w(-2)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*u - 17*u + 25*u**2)*(4*u - 2*u - 3*u + 10) + (-8*u + 4*u - 6*u)*(0*u + 0*u + 2*u**2) + u**3 + 3*u - 3*u.\nAnswer: -44*u**3 + 250*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 76\/823791?\nAnswer: 76\/823791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -31856, -63694, -95524, -127340, -159136, -190906, -222644, -254344?\n\"Answer: g**3 - 2*g**2 - 31839*g - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/19))**(-47)\/(k**(1\/16)*k*k**(2\/9)*k) assuming k is positive.\nAnswer: k**(7285\/2736)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-seven halves of a week?\nAnswer: 2268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -3*x**3 + 4104*x**2 - 1399455*x - 2815350 = 0?\nAnswer: -2, 685","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3580?\nAnswer: 2, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 12025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*w - 169 - 130 = 16 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/18)\/(2 + (-242)\/120). Let o be (10\/25)\/(g\/(-25)). Which is smaller: o or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 bigger than 73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53 - 357 + 153 - 30*h**3 + 151.\nAnswer: -30*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -29 - 11. Let x be 2 + -5 - w\/2. Suppose v - 25 = -5*d, -5*d + 23 + x = -v. Solve 0 = u - 4*h - 5 - 1, 4*h + 8 = v for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -20, -14, -18, -38, -80, -150?\nAnswer: -254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 * 2.4\nAnswer: -0.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 879820?\nAnswer: -879821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 h when two letters picked without replacement from {r: 1, v: 2, h: 2, t: 1}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -35 - 8\/8*-5. Let b = -948\/13 + 6949\/78. Find the common denominator of -5 + -8 + (-384)\/t and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 374 and 272?\nAnswer: 2992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 - 4 = 5*t + 5*l, -30 = -5*t - 3*l for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 1550.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-54)\/72)\/((-3)\/8). Suppose 56 - 202 = -f*x. What is the remainder when x is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 12:35 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-6368\nAnswer: 1273.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-31 - (12 - -7))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3183890 to the power of 1\/3, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4178, -0.1, 0.3, -3\/8, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 84 in -3, 2, 4, -0.5, 6.2?\nAnswer: 6.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75 + 82*i**2 - 53 + 114*i**2.\nAnswer: 196*i**2 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is a6b (base 12) in base 15?\nAnswer: 6b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - (-138)\/33) + 4\/(-22). Solve l*q - 4*q = 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0.3 (b) -10807 (c) 2 (d) -3 (e) -0.3 (f) 0.4 (g) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21920 is divided by 80.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-736)\/48*(-2 + -1). Differentiate 21*k**4 - x*k**4 + 14 + 21*k**4 with respect to k.\nAnswer: -16*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (10 - (-13 + 37))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.221909 * 2.082\nAnswer: -0.462014538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*y + 102 = 0, q + 4*q - 3*y - 561 = 0. Let f(v) = -v**3 + 6*v**2 - 2*v - 2. Let a be f(3). What is the greatest common factor of q and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-312)\/91)\/(12*6\/336).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12342 and 155958?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-6)*6\/4. Let b be ((-1)\/(6\/4))\/(74\/(-333)). Solve 5 = -a*v + b*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25406, 101604, 228600, 406394, 634986?\nAnswer: 914376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**2 + 6. Calculate j(-4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-606)\/96 - (4 + 2)) + -7.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 t, and 1 c when three letters picked without replacement from {c: 5, s: 8, t: 1, j: 4}.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272 = -29390*h + 29407*h for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence slcx when four letters picked without replacement from stcpxpcl.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11658 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -0.54\nAnswer: -2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1268929670 to the nearest integer?\nAnswer: 35622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -659 + 975. Let p = v + 13. Suppose 0 = 5*k - 201 - p. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2813827?\nAnswer: 2813827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 divided by -1?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**12*m**(-2\/9))**(3\/14) assuming m is positive.\nAnswer: m**(53\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39437 and 1396.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117281 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 7*o = -25, 2*j - 126 = -2*o - 106 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - o**2 + o - 1. Let b(z) = 2*z**3 + 2*z**2 - 14*z + 4. Give b(i) + 3*j(i).\nAnswer: -i**3 - i**2 - 11*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 3*n = 37 - 10, 0 = -3*q - 2*n + 17 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 181280.72 and -41505.\nAnswer: 139775.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-11) - 1 - 32\/(-44).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -r**5\/20 + 5*r**4\/12 + r**3 + r**2 + 7*r. What is the least common multiple of 18 and a(6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-8)*j*j**(2\/3)*j*j*j*j*j**(-7)\/(j*j\/(j\/j**(-6\/11))*j*j))\/(j**(-3)*j*j*j**(-6)*(j**(-1))**(-1\/14)) assuming j is positive.\nAnswer: j**(-2245\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/80 of a meter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11239 or 11240?\nAnswer: 11240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 - 4*l - l**2 - l. Suppose -106*z - 51*z + 70*z = -1914. What is the smallest common multiple of z and d(6)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 11, i: 2}. Give prob of sequence ffii.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 30\/(-4) - 1\/4. Let q = -8 - p. Suppose 889*z - 887*z - 2*h - 4 = 0, -3*h - 14 = z. What is the second smallest value in q, z, 0.1, 1\/6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of s**3\/6 - 2*s. Let l(n) be the first derivative of -n**3\/3 - 33. What is l(m(j))?\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38663.0388 - -61.\nAnswer: -38602.0388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 349*t**3 - 2*t**2 - 2*t + 1. Give w(-1).\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*b + c + 9, 4*c + 5 = -5*b. Let l(f) = -3*f**2 + 10*f + 6. Let r(u) = 2*u**2 - 7*u - 4. Calculate b*l(y) - 7*r(y).\nAnswer: y**2 - y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 2 (b) -2\/7 (c) 155\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*j + 86 - 1 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.28 - -3.33. Put -8, g, 0.3 in decreasing order.\nAnswer: 0.3, g, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -175*y**3 - 7. Let q(u) = -87*u**3 - 4. What is -4*d(s) + 7*q(s)?\nAnswer: 91*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/7420230 and 56\/71075?\nAnswer: 37101150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3 = -3*m, 3*a + 0*m - 2*m = 2. Suppose 5*v - 70 - 155 = a. Suppose 4*g = 35 + v. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13212575303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 46.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 18, d: 1}. What is prob of sequence pp?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -496 = -4*n - 464. Suppose -g = 2*a - 13, -3*a = -6*g + 2*g - 36. What is the greatest common divisor of a and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2199, 2201, 2201, 2199, 2195, 2189?\nAnswer: 2181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 792 divided by -132.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 320 - 322. Let n be (-78)\/24*-28*(g - -3). What is the greatest common divisor of 1183 and n?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 7 + (7 - 2 - 3) - -25 - -3?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 - r**2 + r**3)*(4 - 2*r - 4 + (-3 + 5 - 3)*(2*r - r - 4*r))*(-3 - r + 3).\nAnswer: -r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3298706699 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -74.0828 from -798917.4.\nAnswer: -798843.3172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1254836985 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -963*p + 275*p**5 - 20*p**5 + 323 - 323 - 359*p wrt p?\nAnswer: 5100*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -p**4\/12 - 7*p - 111. Let m(w) = 178*w**2. Give m(h(b)).\nAnswer: 178*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 290757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/57 or 12?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/5)\/((-2)\/(-10)). Let d(g) = -4 + 1 + 6 + 2 - g**2 - 4. Determine d(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*r + 2908 = 64*r + 602*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89695830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 168 + -563. Let c = j + 395.12. Put c, -1\/2, -2\/11 in decreasing order.\nAnswer: c, -2\/11, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -2\/7115 (c) -3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5787\/130 - 29\/26. Let s = z - 44. Which is the third biggest value? (a) s (b) 0.1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2700.1 + 9191.9. Let f = n + -11954.91. Let z = -64 - f. What is z rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c, 1 y, and 1 a when four letters picked without replacement from wwyvwyvwvcawgy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wz when two letters picked without replacement from zzwwzww?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 2*d - d)*(3 - 1 - 4)*(3 - 4 + 3)*(-4 + 4 + 2*d**2).\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1302 in -1\/171, -0.1, -2\/13, 3, 0.2, 0.5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0216 + 2.0216. What is the smallest value in 0.5, n, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -3 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1411797 or 1411846?\nAnswer: 1411846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48249, -5, 1.\nAnswer: -48249, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1822692 divided by -4\nAnswer: -455673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j + 4*j**2 + 0*j - 7 - 2 to l + g*j + a*j**2 and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*4\/32*4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -637140 or -637141?\nAnswer: -637141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*c + 18 + 4. What is the nearest to 3\/8 in c, -1\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1868, -2343, -2818, -3293?\nAnswer: -3768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 1.9 (b) 0 (c) -3 (d) -2\/5 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1372\/5 + -274. Which is the second smallest value? (a) o (b) -4 (c) -0.075\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*k + 37*k - 680 - 530 = 0 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2774\/11 + -252. Let x = 844\/9 + -94. Which is the second biggest value? (a) -2\/3 (b) o (c) 0.7 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u**3 - 5*u**2 + 3*u**3 + 0*u**3 as y*u**2 + l + p*u**3 + s*u and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of p**6\/360 + p**4\/3 + 2*p**3\/3 + 42*p - 60. Let j(k) be the third derivative of z(k). Determine j(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14 and -1204.\nAnswer: -16856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 107.72 - 22.72. Let v = 85.8 + -86. Which is bigger: v or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirty-two fifths of a gram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2069 is divided by 93.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/5? (a) -3\/4 (b) 2 (c) -14 (d) -0.1 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1066 and 345302.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.811 times -1.097?\nAnswer: 0.889667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -203029 (base 11) in base 3?\nAnswer: -121120100202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0*r - 16 = 0. Find the third derivative of -3*x**2 + r*x**2 - 3*x**2 - 4*x**4 - 4*x**2 wrt x.\nAnswer: -96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 5*p**2 - p + 17. List the prime factors of a(-24).\nAnswer: 23, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g - 37. Let y be k(33). Which is the closest to 0? (a) y (b) -0.3 (c) -2\/7 (d) 3\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 48*f**2 + 540*f + 3. Determine j(30).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)\/(-2*sqrt(50)\/sqrt(5)))**2 + -4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13780552691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6376, -6375, -6374, -6373?\n\"Answer: j - 6377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7241\/4068 - -1\/452. Let j = g + 55\/36. Let o = 2.5 - 3. Sort o, -3, j in increasing order.\nAnswer: -3, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -k - 7. Let d = -7 - k. Suppose 0*f - d*f + 15 = 0. Sort 0, -4, f in increasing order.\nAnswer: -4, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-39219)\/(-136) - 12\/32. Let a be (-6)\/(-4)*-2*-1. Let q(w) = -a - c*w**2 + 302*w**2 + 6. Let m(x) = -2*x. Determine m(q(l)).\nAnswer: -28*l**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 80744970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2 + 52*p + 137. Let v(z) = z**3 + 14*z**2 + 17*z + 15. Let o be v(-13). List the prime factors of q(o).\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 198 - 57. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000112 to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j + 1. Let a be z(4). Let u = -4 - a. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o + 0*o + o - 2*o - o + 7*o + (-2 + 2 + o)*(2 - 3 + 3) + 0 + 0 - 2*o)*(-o - 6 + 6) + 3*o**2 - 2*o**2 - 2*o**2 to f*o + p*o**2 + z and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -487 or 0?\nAnswer: -487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -4. Let h(d) = d + 0 - d**3 + 4 + 12*d**v - 5*d**2. What are the prime factors of h(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5*(sqrt(720) + 0 + -4))**2.\nAnswer: -110400 + 14400*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10237139?\nAnswer: 11, 23, 43, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 67\/55 + -7\/5. Let x = -0.5 + 0.5. Let l = 0.8 - 0.3. Which is the nearest to p? (a) 3 (b) x (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4488)\/(-154))\/(4 + (-144)\/42)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (69\/9 - 10) + -2 + 4. Suppose 3*n + 22 = -0*n + 4*w, 5*n = 2*w - 18. Which is the nearest to 1\/9? (a) h (b) n (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffi when three letters picked without replacement from {i: 2, f: 7}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(3\/11))\/((j\/(j**(19\/2)*j))\/j))\/(j**(-5)\/(j*j*j\/(((j*(j**19*j)\/j)\/j)\/j)*j)) assuming j is positive.\nAnswer: j**(49\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 596*g - 13 + 0*g**2 - 4*g**2 + g**2.\nAnswer: -3*g**2 + 596*g - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*g - f + 760 = 0, -17*g + 19*g - 55 = 2*f - 7 for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-18))\/(4\/(-24)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 86\/(-266) + (-200)\/1900\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*r**2 - 22*r**2 - 3*r - r + 3*r as h*r**2 + g + c*r and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**5\/6 - 35*n**4\/6 + 143*n**3\/6 + 215*n**2\/6 - 24*n - 30 = 0. Calculate n.\nAnswer: -1, 1, 6, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5888*o - 622*o = -123085 - 581845 + 190640 for o.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -318658 divided by -1126.\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 1 + 2 + 7 - 2 - 3 + (2 - 2 - 1)*(-2 - 2 + 5))*(4*w - 5*w - 37*w) to r*w + z and give r.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (57 - (32 - 74) - (-3 + 29)) + -9 + -2\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -146*b**4 + 407*b**4 + 16 - 2*b - 180*b**4 - 2*b**2 - 22 to the form m*b**2 + h*b**3 + t*b + y*b**4 + r and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 374 - 110 = 0. Suppose -r*t + 42*t = 0. Solve 8*a - 5 - 11 = t for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 34 = 4*f - 35, f - 30 = 4*k. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q = -25*q - 20. Is 14 a factor of (-237)\/q*(-1)\/(21\/(-112))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114686, -114705, -114718, -114719, -114702?\nAnswer: -114661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 106 + 4. What is the remainder when c is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 74*c - 80*c + 158*c + 223*c to the form b + k*c and give k.\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0 = -4*d + 4, -23 = -5*d - 2*o. Let b be d*(-10)\/4*-2. Let t = -11 + b. What is the highest common divisor of t and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -110 and 11235.\nAnswer: -1235850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -435, -414, -377, -318, -231?\n\"Answer: d**3 + 2*d**2 + 8*d - 446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 14*g**2 - g + 8. Let x be d(14). Let w be (x\/(0 - 1))\/(48\/32). Let f be 558*(14\/w - 3). Calculate the highest common divisor of 31 and f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-12 - 24)) + -15 + 12.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4564986 - 243.5417914. Let u = a - -244. What is u rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 5*i - 13. Suppose 4 = -0*c - c. Let z = c + i. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m + 1. Let t be y(2). Let o be -4 + (46\/11 - (-12)\/(-66)). Solve -l + 2*l - 5*j - 15 = o, 4*l - t*j = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23395416, 23395209, 23394988, 23394747, 23394480, 23394181, 23393844, 23393463?\nAnswer: 23393032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 323.812 days?\nAnswer: 27977356.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s\/(s**9\/s*s)*s*s)\/s)**(-39)\/((s\/(s\/s**(4\/3)))\/(s*s*s\/s**24*s)) assuming s is positive.\nAnswer: s**(521\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bv when two letters picked without replacement from {v: 2, b: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/((-243)\/(-6))*(-3)\/28*18.\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-87)\/2)\/(60\/(-160)) + 8. Solve d*g - 101*g + 46 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-34 - (-6 - -2))\/(-2). Solve -a - 5 = -5*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 121269355 to the nearest integer?\nAnswer: 11012","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 343706220*a**3 + 343706247*a**3.\nAnswer: 27*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 101*q - 327. Determine l(4).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 889.898584 rounded to the nearest ten?\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 41*d + 1. Is v(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8011 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 8:29 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 10:39 PM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 0 - 9 + 4*u - 1 + 7 + u**2. Let q be y(-5). Solve q*t + 12 = 6*t, 5*k + 4*t + 3 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -27*w**2 - 462*w - 29. Calculate l(-17).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.26 and -82.7?\nAnswer: -600.402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 42287 times -0.3?\nAnswer: -12686.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 1\/6*l**3 + 1\/3*l**4 + 0 - 1\/2*l**2 - 3*l. Let i(c) = -7*c**2 - 2*c + 2. Calculate 5*a(n) + 3*i(n).\nAnswer: -n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*y - 7*y + 0*y to i*y + v and give i.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 104692 to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*j**2 + 15*j**2 - 8*j**2)*(-17 - 20*j + 17).\nAnswer: -320*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 334547280 and 160?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38508 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and -6*(-11)\/8 - 1\/4.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1060273 and 2961.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 56, 4, -24, 5\/12?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2896 = 2*u, 167 = -2*u + 4*d + 3063. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 59 - 50. Suppose -4*q - a*d + 805 = 0, 0 = 12*q - 8*q + 5*d - 795. Is q not equal to 205?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -6*g - 50. Let s(q) = 2*q + 17. Let f(m) = 6*o(m) + 17*s(m). Let r be f(-7). Suppose -2*y = -4*a + 15 + 13, 2*y = -3*a. Sort y, r, -3.\nAnswer: y, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - n - 23, 2*x + 0*x - 20 = -5*n. Solve -4*t = -4*u, x*u - 2 + 5 = 4*t for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3463*n**2. Let x(v) = 4609*v**2. Determine g(x(u)).\nAnswer: -73564096903*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -76.923 times -5?\nAnswer: 384.615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 5263*a. Let p(k) = -120*k**2. What is b(p(m))?\nAnswer: -631560*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -928 + 953. Calculate the remainder when 136 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**2\/2 - 9428*b - 70371375\/2 = 0. Calculate b.\nAnswer: -13731, -5125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10485 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -97 - -108. Suppose 4*n = g*n - 525. Let s = n + -69. Does 2 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*b = 207*b - 3071625. What is the thousands digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1548596 is divided by 300.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of 0*q**4 - 17*q**2 + 0*q**3 + 0*q + 1\/12*q**5 - 1\/42*q**7 + 0*q**6 + 0. Factor c(y).\nAnswer: -5*y**2*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*o - 23 + 47 - 2*o**2 - 24.\nAnswer: -2*o**2 + 107*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1775*q = -218*q - 107433 for q.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3\/2 - 3058557*b**2 + 1559125428480*b + 3118263091200.\nAnswer: 3*(b - 1019520)**2*(b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3967364113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 12:44 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*n**6 + 7993*n**4 + 356*n**2 + 2960*n wrt n?\nAnswer: 960*n**3 + 191832*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 4*h + 1. Let q be k(5). Suppose -q + 3 = -3*n. Let i(l) = -3*l - l - n - l. What is i(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*m + 0*m + 4*m)*(5 + 3 - 11).\nAnswer: 36*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32382 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -7 - (-17 - (4 + -8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*w = -30, -8*w - 24 = -3*g - 5*w. Solve 0 = -g*r + z + 2 + 11, -z + 2 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 72660?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 6*f**2 + 10*f - 3. Let q be s(4). Suppose 5*a - 3*p - 189 = 497, -q*a = 2*p - 676. What are the prime factors of a?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w + 3*w + 5 - 1)*(-2477621*w - 3665*w**3 + 2477621*w) in the form x*w**4 + o*w**2 + n*w**3 + k*w + m and give x.\nAnswer: -3665","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 457722997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 167193 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(10\/14 + -1). Let b be 10\/(-35) + (-4)\/(-7). Suppose b - 2\/7*l**2 + 2\/7*l - t*l**3 = 0. What is l?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1051\/4 + 264. Which is smaller: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from ddwwww?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 917077 to the power of 1\/3, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*b = -8, 0 = 3*c + 2*b - 5 - 7. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5910996 divided by -6?\nAnswer: 985166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-851)\/161 - 12\/7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 2)*(1 - 5 + 3)*(-252 + 1279 + 826)*(2*r - 1 + 1) to y*r + k and give y.\nAnswer: -7412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3304 + 920. Let n be 7639\/(-7) - 4\/(-14). Let j = n - t. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19946950 is divided by 45855.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -176 (base 8) to base 14.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*2 + 20 + -13. Suppose o*g - 8 + 28 = 0. List the prime factors of 2\/6 + ((-2552)\/3)\/g.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 100100110011001011?\nAnswer: -100100110011001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19564*n*t**5 - 24*n*t**2 - 29*n*t - 6*t**2 - 2 wrt t.\nAnswer: 1173840*n*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 2*t**2 - 20*t - 4. Let o(x) = -x + 7. Let j(v) = 11*o(v) + 4*s(v). Is j(2) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -6*p + 15. Let x(y) = 1. Let i(w) = b(w) - 15*x(w). Let o be ((-34)\/(-5))\/((-8)\/10 - -1). Let c(q) = 0*q**2 - 2*q**2 - 34 + o. Determine c(i(g)).\nAnswer: -72*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pr when two letters picked without replacement from {o: 2, m: 1, r: 9, p: 1, t: 2, g: 3}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -64.33*-0.5\nAnswer: 32.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 0 - -8 - 4. Solve -2*m + 0*m - a = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 119864.87 - 592\nAnswer: 119272.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 4*r - r - 506, 0 = 3*s - 3*r - 1542. Suppose 93*t + s = 97*t. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 - 5 - 1*2)*-5. Suppose s = z + 3*i - 6, -5*i - 5 = -3*z. Suppose -z*d + 209 = 49. Calculate the highest common factor of d and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 39*x + 34. Let n be w(6). Let a = 283 - n. Solve -7 = -4*c - a for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of d**6\/840 + 33*d**5\/280 + 4*d**4\/7 - 103*d**3\/2 - 19*d**2. Let o(s) be the first derivative of x(s). Solve o(k) = 0 for k.\nAnswer: -32, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44 - 47. Which is the smallest value? (a) -4 (b) 4 (c) 2\/25 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 471850 is divided by 108.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 107\/271 - 834179\/2111361. Is v less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**3 - 9*v**2 - 2*v + 26. Let o be c(4). What is the third derivative of -10*k**5 + 89*k**o + 1291*k - 1291*k - 143*k**5 wrt k?\nAnswer: -9180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 2*l, -k - 2*k - 6 = 4*l. Suppose 0 = -2*s - s - i + k, -5*i + 24 = s. Let a be ((-5 + 4)*s)\/(-1). Let q(z) = 2*z**2 + z + 1. Calculate q(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-47 - -12 - -39) + 72\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 11) to base 6\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1361 + -1361. Solve 25 = -5*f - a for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*r = -88*r - 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 4*j**4 + j**2 + 2*j**3 - 4*j**4 + 10*j**4 to a*j**4 + p*j**3 + m + x*j**2 + g*j and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -28143 times 0.15233\nAnswer: -4287.02319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/120 and 1 - (-1)\/2 - 2975\/750.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3556 is divided by 45?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 9*d**2 - 9*d - 7. Let a be ((-3)\/(-2))\/((-6)\/32). Let h be t(a). Calculate the greatest common factor of 10 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -8, -3, -14, 0 in decreasing order.\nAnswer: 4, 0, -3, -8, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 527, 816, 1129, 1478, 1875?\nAnswer: 2332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1183343 is divided by 145?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 4*f**3\/3 - 53. Let w(m) = -3*m. What is q(w(r))?\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 142*i + 709. Let l be p(-5). Let b(u) be the second derivative of -4*u**4\/3 + u**3\/3 + u**2\/2 - u. Calculate b(l).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5\/4, 0.1, -2, -17754?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gxgg when four letters picked without replacement from gggggxx?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 12:05 PM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 5*y + 6, -4*q - 3*y + 6 = -4*y for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w**2 - 3*w**2 + 2*w**2)*(w + 5*w - 3*w) - 96785 + 96785 + 738*w**3 as p*w**2 + t + q*w**3 + b*w and give q.\nAnswer: 732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 5*m**2 - 6*m - 6. Let o be y(6). Let j be (-2)\/o*3 + 5. List the prime factors of (-224)\/12*j\/(-2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-8 - -17) + -3 + 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3548 take away -233364427?\nAnswer: 233367975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7780555?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 29. Let f be (s + 15)*2\/15. Let 0 - 2\/3*h**3 - f*h**2 + 0*h = 0. Calculate h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p = -7*p - 32826153. Let a = p - 6342051. What is a rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -q**4\/12 + q**3\/6 + 3*q**2\/2 + 6*q. Let z be t(3). What is the units digit of (z + 0)\/(-18) - 2180\/(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 divided by 161847?\nAnswer: -58\/161847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(14\/(-4) - -1). Let k(s) be the first derivative of 9\/2*s**m - 3 - 6*s - s**3. Factor k(r).\nAnswer: -3*(r - 2)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/378)\/((-26)\/(-234)*(-6)\/4)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 38*l**2 - 35*l + 67. What is i(-37)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 170 + 397. Calculate the highest common divisor of z and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 0 + 4 = 0. Suppose -15 = -7*h + x*h. Let c(f) = f**3 - 2*f**2 - f - 2. List the prime factors of c(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 2*y**2 - y - 2. Let t be s(3). Calculate the common denominator of (-2)\/(-5) + (-161)\/t and -79\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 470809 and 201.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1276160 and 638080.\nAnswer: 1276160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -157\/370 + -14\/185. Which is the fourth smallest value? (a) -0.3 (b) 0.5 (c) 5\/7 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 751 divided by -1\nAnswer: -751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/10)\/(3\/6)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 48*h - 52*h. Solve -2 + 12 = -h*t + 2*o, 0 = -3*o + 3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/7 - (-4)\/(-14). Suppose -4*a + j + 4 - 11 = 0, -5*j - 5 = 0. Let x = 6 + a. Solve -m + u*m + x = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 - -99. Calculate the highest common factor of 38 and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 37159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 13 = -3*k. Let x = 8 + k. Let s = 3 + x. Solve 3*n + 24 = -s*n - 3*d, -4*n + 5*d = -4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 753 is divided by 251.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 41?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24.1 - 23.6. Suppose 4*w + 0*w - 6 = -2*r, -15 = -2*w + 3*r. What is the smallest value in w, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -101801541 > -101801541?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 5, 0*r - 2*r = 3*k - 0 - 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09 - 0.17275.\nAnswer: -0.08275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t - 6. Let y be w(-12). Suppose -4*d + y*j - 2*j - 29599988 = 0, -4*d - 4*j = 29600012. What is d rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 3. Let x be (k\/6)\/(2\/(-6)). What is the units digit of ((-57)\/3 + x)\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20\/7 in -3\/10, 3\/2, 1\/4, -15, 65?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 79505 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3 = 3*j, -3*w + 2*j - 11 = 2*w. What is the closest to 1 in w, 1\/5, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1994497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f - 19. Let l(r) = -r + 2. Determine 2*l(q) + x(q).\nAnswer: 2*q - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**5 + 165*w**4 - 545*w**3 - 165*w**2 + 540*w = 0. What is w?\nAnswer: -36, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -7.37150274 - 51.8\nAnswer: -59.17150274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + d + 10 = 0. Let v(t) = 4*t - 1. Let i be v(d). Let f be -2 + (-3)\/(9\/i). Solve f*s + 26 - 7 = h, -s = 3*h + 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, o: 1, q: 1, a: 2, p: 1, s: 2}. Give prob of picking 1 m and 1 p.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1736 - -1732. Put 0.2, -1\/4, n, -0.2 in descending order.\nAnswer: 0.2, -0.2, -1\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -436 + 423. Let l be (-11 - 1)*(-11)\/44. Sort l, 5, p in increasing order.\nAnswer: p, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(468) + 1*sqrt(468))*-5*6 + 1)**2.\nAnswer: -720*sqrt(13) + 1684801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {l: 10, r: 2, v: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 2 + 2)*(2*i**2 + 4*i**2 - 2*i**2 + (-9*i + 27*i - 104*i)*(2*i + 3*i - 3*i) + (-i + 3*i + 0*i)*(-3*i - i + 2*i) + 3*i**2 - 3*i**2 - i**2).\nAnswer: 173*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1412552740?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3560610?\nAnswer: 2, 3, 5, 118687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1447\/77453 or 1?\nAnswer: 1447\/77453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (24\/6)\/(-4) - (1 + 7). Is -126*(33\/a + 3) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29862084 divided by 14\nAnswer: 2133006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -150 in 4, -19.9, 1\/4, 0.3?\nAnswer: -19.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 + 48. Suppose -r*d + 29 + 13 = 0. Put -3, d, -4 in descending order.\nAnswer: d, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and 4.088?\nAnswer: 24.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2111646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from epeyyyy. Give prob of picking 2 e.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-10))\/(12\/(-10)). Which is the nearest to 5? (a) x (b) -5 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - a - 114. Let k(c) = -7*c - 19. Suppose 192 = 25*l - 33*l. What is the remainder when k(l) is divided by a?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 20*b**3 + 11*b**2 - 99*b + 360. What is the thousands digit of z(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 120 + 3?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of g**5\/15 - 11*g**2\/2 + 10. Let r(p) be the second derivative of c(p). Factor r(w).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ceeezecez. Give prob of picking 1 z and 1 e.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 7*k**2 + k - 5. Let m be v(7). What is the second derivative of -m*h**5 + 2*h**5 + 3*h**5 - 2*h wrt h?\nAnswer: 60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -7*z**2 + 381*z - 13. Let d(h) = -4*h**2 + 2*h - 4. What is a(b) - 2*d(b)?\nAnswer: b**2 + 377*b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (5 + ((-8)\/14)\/((-108)\/(-504))). Which is the third smallest value? (a) -0.02 (b) w (c) 2\/5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19692 a multiple of 246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5395*j + 5776 with respect to j.\nAnswer: 5395","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and ((-12)\/10)\/(1\/(-10))?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y + 3 - 3 + (-3 + 0 + 4)*(-3*y + 6*y - y) + 0*y + y + y + 34*y - 17*y - 16*y - 2 + 0*y - y + 3*y as c + q*y and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 3*d**3\/7 - 108*d**2\/7 + 384*d\/7 = 0?\nAnswer: 0, 4, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 20 = -16. Let k be ((-2)\/2)\/(4\/(-12)). Suppose k*o - i = o - 1962, -3928 = q*o - 4*i. Round o to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6, 2.6, 55966, 0.2?\nAnswer: 55966","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 6*g + 4. Let l be h(-6). Let k = l + 50. Let u be -7*468\/(-273) + 22*6. Calculate the greatest common divisor of u and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 - 166*m + 63*m - 148*m + 23*m.\nAnswer: 2*m**2 - 228*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1518, 1512, 1506?\n\"Answer: -6*l + 1524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 12*p**2 + 6*p - 1. Give r(12).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 6:09 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-2) - (-916)\/8. Let j(i) = 19*i**2 + 4520*i - 4510*i + i**2 - 26 + 2*i**3. Let h be j(-9). What is the highest common factor of h and n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, e: 9, z: 1}. What is prob of picking 2 f?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/67 or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 11*v. Let p be 16\/(-20)*(-10)\/(-4). Let x = 214 + -190. Let m be (x\/(-18) - -1)*(p + -1). Give k(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-2\/3)\/g*g**(2\/7)*g)**(-2\/69) assuming g is positive.\nAnswer: g**(-26\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 4:29 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u*u**(2\/7))\/u*u)**(-48))**(1\/12) assuming u is positive.\nAnswer: u**(-64\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 193, 441, 807, 1303, 1941, 2733, 3691?\nAnswer: 4827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 (base 8) in base 3?\nAnswer: 22100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqxqqx. Give prob of picking 1 x and 1 q.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3377279023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*d - 12, 3*d = 5*g - 45. Calculate the highest common factor of g and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-527)\/(-25) - (-72)\/(-900). Solve -31 = -5*b - h for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 divided by 1?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-33)\/(-55))\/(2\/10). Solve -3*t = -4*q + w, 12*q - 11*q + 6 = 3*t for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 8, -4*j = -j + 2*x - 107633. Let r(c) = c + j - 35875. Let i(h) = -h + 27. Determine r(i(o)).\nAnswer: -o + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*w = -298, 25*w + 745 = 5*o + 26*w. Solve o = -3*f + 173 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(7\/4) - (-352)\/77. Suppose -v = 9*k + 23. Let l be 17\/(-4) - k\/12. Let a(g) = -4*g + 3. What is a(l)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 44 = 4*z, -z - l = 4*l - 11. Let o(r) = -25 + 4*r + 4*r - 5*r. Calculate the remainder when 12 is divided by o(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87834 divided by 147?\nAnswer: -29278\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -6. Find the second derivative of o**2 + k*o - 4*o + 0*o wrt o.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 526768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -22 - (-3 - -1) - (100 + -125)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -574189.5 take away 0.01?\nAnswer: -574189.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 72*h. Let y(o) = -101*o - 18. Determine y(x(r)).\nAnswer: -7272*r - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 49208 and 16?\nAnswer: 98416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o**2*t + 76289*o**2 - 7*o*t + 22*o - 13 wrt o?\nAnswer: 4*t + 152578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26*p + p**4 + 66*p**2 - 21*p**3 - 15*p**2 - 25*p + 2*p**4 + 18.\nAnswer: 3*(p - 3)*(p - 2)*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3*sqrt(832) + sqrt(832))**2 + -3.\nAnswer: 9981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 11 (b) 20 (c) 135 (d) -0.149\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-19 - -17)*(9 - 11). Suppose 6\/7*z**3 + 0*z + 0 + 0*z**2 + 2\/7*z**j = 0. What is z?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 7*w - 9. Let x be p(6). Calculate the lowest common multiple of 8 and (-8)\/44 + 204\/x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31996 is divided by 4141.\nAnswer: 3009","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*x**3 - 8*x**3 + 5*x**3)*(-2 + 2 + 3)*(-4 - 8 + 2 + (-4 + 1 + 4)*(-5 + 2 + 1)).\nAnswer: -216*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnqqleqlqylqnnqqq. What is prob of sequence el?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + 2)\/(-4)*12. Let r(q) = 8*q + 16*q + 1 + 7*q - 25*q + 1. What is r(b)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 - 4*d + 9)*(893 - 136 + 553) as a + t*d and give t.\nAnswer: -5240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b*c**2 + 107*b*c + 12*b + c**2 - 3083 wrt b.\nAnswer: -2*c**2 + 107*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zdp when three letters picked without replacement from {d: 1, z: 3, p: 1, j: 2, i: 4, h: 1}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -8 - 2 - -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 125 divided by -125?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41591, 16, -1 in increasing order.\nAnswer: -1, 16, 41591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**11\/z**(-21))\/((z\/z**(-2\/65))\/z)**(2\/11))**(4\/29) assuming z is positive.\nAnswer: z**(91504\/20735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 23 = -3*a + 2*u, -25 = -5*a + 5*u. Suppose s - 4*s = 2*h - 13, -6 = -3*h. Let i(d) = 9*d**2 - 3*d + s*d - 6*d**2 + 1 - 2*d. Give i(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.157392 or -0.046?\nAnswer: -0.157392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45 + -42.7. Let y = 14.8 - m. Let b = y + -12.413. Round b to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -179691 - -251891. Round s to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 - 1 + 4)*(-i - 2*i + i) + 0*i + 3*i - 5*i - 3*i + 0*i + i)*(18 - 18 - 5*i) in the form l*i**2 + t + c*i and give l.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1344486*l**2 + 2383300*l + 2?\nAnswer: -2688972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -630 - -642 - (-9 + 2 - -3) - 106?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14505, 14495, 14485?\nAnswer: 14475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 + (-27 - -26) + (7 - -2)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1181*g*v**2 + 3*g*v - 660*v**2 - 6 wrt g?\nAnswer: -1181*v**2 + 3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, d: 1, g: 1, i: 1, m: 2, r: 1}. Give prob of sequence dvm.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3\/2 - 39*f**2\/2 + 165*f\/2 - 225\/2.\nAnswer: 3*(f - 5)**2*(f - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3)\/(33\/(-2541)*(-35)\/(-30)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 35\/2, -1.2, 0?\nAnswer: 35\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-27)\/6*(-24)\/(-9). Sort y, -2\/5, -0.1 in descending order.\nAnswer: -0.1, -2\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, z: 1}. What is prob of sequence jz?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of 0*o**4 + 13\/3*o**3 + 0*o**2 + 0*o**6 - 10 - 12\/7*o**7 + 0*o**5 + 0*o. Find the third derivative of n(z) wrt z.\nAnswer: -1440*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 9*o**3 + 6*o**2 - 2*o - 4. Let n be t(-2). Calculate the common denominator of 19\/94 and (0 - 0) + (-114)\/n.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*s + 2*g = -32*s + 18, -g = s + 3 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w = -20*w + 11252. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(-126)*(-9)\/((-1296)\/2184)\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 1\/2*o**2 - 1\/4*o**4 + 4*o - 16 + o**3. Give a(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 8:02 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-4)*(-8)\/(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t - t + 3*t - 3. Let i be a(-7). Suppose -12 = -i*n + 24. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 952\/336 - (0 - -3).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41 - (-15 + 54)) + 5?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -25, -4 in descending order.\nAnswer: 2, 1, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -34. Suppose -s = -k + 13. List the prime factors of k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-209)\/55*(-120)\/(-18) and 73\/472?\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(72) + -1 + (2*sqrt(162) + sqrt(162))\/sqrt(9) + -3).\nAnswer: -30*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9918 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 2:50 PM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*c, 3 = 4*m - 4*c - 1. Suppose -b + 1007 + 1046 = m. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3637 + -2070. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -4 - 1) + -9 + -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**2 + 845*p - 24934. What is c(32)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/54)\/((-1)\/(-34)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24427589?\nAnswer: 17, 1436917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -552 = 58*v + 34*v. Let w(d) = -6*d - 6. Let j(c) = -7*c - 6. Determine v*w(f) + 5*j(f).\nAnswer: f + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**17)**(-10) assuming k is positive.\nAnswer: k**(-170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-15)\/5)\/((-1)\/(12\/(-54))). What is the closest to 1 in 0, v, -2, -0.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2626493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 l when three letters picked without replacement from ltlttl.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/24 and -101\/64696.\nAnswer: 194088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - g = 3532, -1722 = -4*l - 5*g + 1121. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n - 2. Let o be a(3). Let i(k) = -9 + 8*k + 0*k - 3*k. Calculate the least common multiple of 1 and i(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64 + 92. What is the greatest common factor of 208 and q?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 + 33. What is the nearest to 0 in -4, q, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101111001101011101 + 111?\nAnswer: 11101111001101100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 - -12. Let m = g - 35. Suppose -3*p + 4*c = -2*p - 34, -m*c = -p + 30. What is the remainder when 33 is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2102 (base 3) to base 9\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 210 and 22365?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/2 - (-2)\/(-4). Let n be (-6)\/1 - (-55 - -50). Let a(v) = 4*v**2 + v. Let y(m) = -m**2 - m. Calculate n*a(o) + x*y(o).\nAnswer: -o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 19 - 245 = -5*q, -17 + 51 = -o + 4*q - 53 for o.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 97.421 - 98.5. Let g = h + 0.019. Let t = 0.26 + g. Put 2\/11, -6\/7, t in ascending order.\nAnswer: -6\/7, t, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/1078 and -113\/89207244.\nAnswer: 981279684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -26*v**5\/5 - 16*v**2 + 59. Find the second derivative of f(m) wrt m.\nAnswer: -312*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311501 bigger than 311476?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, -3\/5, -3, 1\/2, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 17 = -0*c - 2*j, j = -3*c + 13. Suppose 12 - 49 = -c*k - z, 3*k - 29 = z. Solve -5*p = -0*p + 2*h - 4, k = 4*p - h for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 769643910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*q - 18 = 0. Let i(w) be the first derivative of -1\/24*w**q + 1\/16*w**4 + 0*w + 0*w**2 - 1\/12*w**3 + 3 + 1\/20*w**5. Factor i(o).\nAnswer: -o**2*(o - 1)**2*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + 41 + 439. Let c = 77 - d. Let y(s) = -14*s - 18. Is 24 a factor of y(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 26 = 3*v, -4*v - 5*z = -0*v + 12. Let o(y) = 2*y - 7. Let s be 2\/((-6)\/(-3))*6. Calculate the remainder when o(s) is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37606700 to the power of 1\/2, to the nearest integer?\nAnswer: 6132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2240 + 2239. Let k = 22 - 20. Let g = -0.1 - 0.4. Which is the closest to l? (a) g (b) 5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4151 + 9\/(27\/24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6765 and 328.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 395*o**3\/3 - 208*o - 347. What is the derivative of r(w) wrt w?\nAnswer: 790*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208608 = -16*p - 827488. Let z = -15923 - p. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**4 + 12*q**3 + 20*q**2 + 9*q - 5. Let d(g) = g**3 + g**2 - 1. Let t(f) = -5*d(f) + u(f). Find x, given that t(x) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.32? (a) -4 (b) 2 (c) 41 (d) 0.05 (e) -62\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*a - 84*a + 4*u = -2, 0 = -2*a - 5*u + 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r - 3990 = -30*r. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**3 - 4*g**2 + 4*g. Let k(l) = l**2 - 9*l + 11. Let u be k(8). Let t(i) = -26*i**u + 3*i - 2*i - i**2 + 27*i**3. Calculate m(h) - 4*t(h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 106.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 4:43 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2775 divided by 5\nAnswer: -555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 4\/55, -2\/7 in ascending order.\nAnswer: -23, -2\/7, 4\/55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/69 + (-54)\/(-184).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 20, c = -3*z + 4*c + 15. Calculate the smallest common multiple of 32\/6 - (-14)\/21*1 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 r when three letters picked without replacement from {w: 2, r: 2, u: 9}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -94.32731 rounded to the nearest integer?\nAnswer: -94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18.18 - 18. Let v = w + -0.38. Let k = v + 0.24. Which is the third smallest value? (a) 0 (b) k (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 12*y**2 - 42*y - 11. Give w(15).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.14 and -2331382796.\nAnswer: -2331382796.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n - 5. Let i be v(4). Let g = 3 + i. Suppose 0 = g*j - 5*m - 199980, 5*m - 10 - 10 = 0. Round j to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 5918610 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 4*g - 13 = 0, -184*u = -185*u + 5*g - 11 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 4. Does 17 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40587*p**3 + 81172*p**3 - 40590*p**3.\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/(-110) - 0) + 1\/(-2)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + -0.3. Let y = 1.4 + -0.4. Which is the third biggest value? (a) -4\/7 (b) y (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -63*c - 37. Let i be y(-3). Let v = -29 - -45. What is the highest common divisor of i and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 5*a**2 + 5*a - 5. Is n(5) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 800 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2\/5 + 10564*n\/5 + 21048.\nAnswer: 4*(n + 10)*(n + 2631)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -155 (b) -5 (c) -35 (d) -9.1 (e) 3 (f) 5 (g) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(3\/3) - -221. Suppose 5*w - 10 = 0, w = 4*h + 65 - o. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38 - -19. Are -15 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 2*b - 18. Let a be o(-7). Calculate the highest common factor of a and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*d + 2601 = 267 - 1950 for d.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2075482.6919 to the nearest one hundred thousand.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*t - 20*t + 14*t + 30*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 284, 533, 808, 1121, 1484, 1909?\n\"Answer: 2*s**3 + s**2 + 232*s + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 14, -1\/2, 25038.4?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1363, 2726, 4087, 5446?\n\"Answer: -d**2 + 1366*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2204683130 to the nearest integer?\nAnswer: 1302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -425, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -88 - -2?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 smaller than -110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4*g + 12. Determine y(-8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -3*v + 581. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 607ac (base 13) to base 2.\nAnswer: 101010001010010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-610)\/7 + (-4)\/168*-6. Which is smaller: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 346 divide 127877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.1 - 0.1. Let v be (434\/(-42) + 12)\/((-25)\/(-15)). Which is the fourth smallest value? (a) u (b) 2\/5 (c) v (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and -69.8.\nAnswer: -70.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.017, -28\/97, -1, 1\/7, -5?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 3*w**2 - 11*w + 2. Suppose k + 2*m + 0 = -7, 5*m = 5*k + 20. Let x be a(k). Solve -6*d + 37 = x for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 14) + -9 + 19?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*f = -13*f + 28*f - 840. Solve 0 = j + 4*d - f, 40*j - 3*d + 20 = 42*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1)\/b)**(-44)*b**(2\/7)\/b*b**(3\/5)*b*((b\/b**(1\/3))\/(b**(-2\/21)*b))\/(b**5*b**2*b) assuming b is positive.\nAnswer: b**(8468\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - 7 - 5 - 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5.47056599 and -0.02.\nAnswer: -5.49056599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -23, -15, 1, 25, 57, 97, 145?\n\"Answer: 4*t**2 - 4*t - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 69\/133 or 2?\nAnswer: 69\/133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.760668+5.3\nAnswer: 6.060668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**4 - 4*i**3 + 100*i**2 + 100*i.\nAnswer: -4*i*(i - 5)*(i + 1)*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -19*k + 187. Is a(6) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3675782099.\nAnswer: 11, 23, 14528783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 59782089557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of s**9\/7560 - s**8\/840 + s**7\/420 + s**6\/90 - s**5\/15 + s**4\/6 + 32*s. Let j(v) be the third derivative of r(v). Factor j(p).\nAnswer: 2*(p - 2)**2*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1630270 divided by 326054?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2055743319 a multiple of 2571?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (63\/(-14))\/((-8)\/(-32))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1842617\/62 or 29720?\nAnswer: 1842617\/62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2679216628.\nAnswer: 2, 11, 60891287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4721 + -4716. Solve -g - 36 + 6 = 5*z, a*z + 3*g = -40 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -5*b + 114. Let u(v) = 1 + 16*v - 18*v - 4 + 2. Let d(l) = -t(l) + 4*u(l). What is the derivative of d(g) wrt g?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 7:47 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1718 - 143*i**2 - 160*i**2 - 317*i + 73 + 101*i + 324*i**2 with respect to i.\nAnswer: 42*i - 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17505941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(2 - (1 - 3)). Let u = 46991 - 46990.9. What is the smallest value in u, -7, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/739 and 69\/2956?\nAnswer: 2956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-660)\/(-9)*5\/40*-4. Which is smaller: -37 or t?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185832821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 323053 (base 7) in base 13?\nAnswer: 1c810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**10\/y**(-23))**8 assuming y is positive.\nAnswer: y**264","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 154 and 5894?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1856 + -307. What is the remainder when 6201 is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 3*g + 2. Let h = 4197 - 4198. Calculate z(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -14. Let j(i) = i**3 + 11*i**2 - 13*i - 17. Let o be j(b). Put o, -2, -4 in descending order.\nAnswer: -2, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c + 6. Let h be n(-4). Calculate the greatest common factor of 22 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {v: 5, t: 2, a: 3, b: 1, j: 3}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41603, -41620, -41649, -41690, -41743?\nAnswer: -41808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 266 + -260. What is the hundreds digit of p\/(-14) + (-80442)\/(-126)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 186658280 divided by 18665828.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -44831*o + 15. Let k(l) = -399*l. Give k(m(z)).\nAnswer: 17887569*z - 5985","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3170 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + -20. Let w be -1*((-282)\/3 + 0). Let d = w - u. Calculate the greatest common divisor of d and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5*(3*-2*sqrt(441) + sqrt(441)))\/((sqrt(48)\/(sqrt(12)\/sqrt(3) + sqrt(4)))\/(sqrt(324)*-2 - sqrt(4))).\nAnswer: -6650*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 691, 700, 711, 724, 739, 756?\n\"Answer: u**2 + 6*u + 684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3898079 and 2421?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1)*c**(-2\/21)*c*(c*c**(1\/4)*c)**(-48))**48 assuming c is positive.\nAnswer: c**(-36320\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 166 and 10656.\nAnswer: 884448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-1\/6)\/g))\/g*g**(1\/34)\/g*g*g*g assuming g is positive.\nAnswer: g**(163\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8\/19 + 14\/57. Let l be (72\/(-14) - 2) + (34 - (-30 + 57)). Put l, 1, -1\/3, x in decreasing order.\nAnswer: 1, x, l, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -480 and 44651?\nAnswer: 45131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/8)\/h**(-2\/5))\/(h\/h**1*(h\/(h\/(h*h**3)))\/h) assuming h is positive.\nAnswer: h**(-99\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i - x - 1288466 = 2*x - 1288372, x + 24 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5124464?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 - 1240412*h - 14 - 458*h**2 + 1240412*h as n + l*h + q*h**2 and give q.\nAnswer: -458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/(-13299))\/(223\/2899)?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 5:55 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**2\/3 - 11462*k\/3 - 218500\/3 = 0.\nAnswer: -19, 5750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (5 - 39 - (207 + -218))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 9:40 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 42393985 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -153405215, -153405214, -153405213, -153405212, -153405211?\nAnswer: -153405210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 7, 3, 10, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 457372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14.6 - 1.6. Let q = -10 + d. What is the closest to -0.2 in 0, 1, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -3\/2515?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2483059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*k - 118*k + 1078 = 0. Suppose -2*v - 6 = -34. Calculate the greatest common divisor of v and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -60, -161, -262, -363, -464?\n\"Answer: -101*z + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of m**2\/2 + 8. Let v be i(7). Let y = -2 + v. What is the greatest common divisor of y and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.05 + -0.45. Suppose -147*a = -113*a + 1428. Sort n, 1\/9, a in ascending order.\nAnswer: a, n, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 14 = u. Let a = 2191 + -2107. Calculate the highest common factor of a and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -79.1 + 79. Let k be (-4)\/(-6)*(-18)\/30. Let s = 2\/401 + -415\/2807. Put -4, b, k, s in descending order.\nAnswer: b, s, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344559923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/89666344 and -81\/97252.\nAnswer: 89666344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -9684\/13, -57\/5 in increasing order.\nAnswer: -9684\/13, -57\/5, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -102312*q + 102301*q + 11 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/(-24)*1524\/5334.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sseseesxpsnxpsex. What is prob of sequence xnps?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2158, -2484, -2810, -3136, -3462?\nAnswer: -3788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111074 is divided by 2269?\nAnswer: 2162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37273919 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b699 + -2?\nAnswer: b697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h - 3. Let w be f(2). Suppose 4*z - r + 4 = -1, -2*z + 11 = -w*r. Let j be z + 2 + 4\/(-14). Is -1 at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -2. Let x = -3139 + 3139. Which is the smallest value? (a) -3 (b) -5 (c) n (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 261819 by 16.\nAnswer: 261819\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y + 16*y - 159 = 0. Let n = y - 3. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(1872) - 3*(sqrt(1872) + -2 + sqrt(1872))) + -2*(-3 + sqrt(1872) + sqrt(1872))**2).\nAnswer: -228*sqrt(13) + 14988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3407416 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l + 19. Let m(n) = -4*n - 19. Let p(o) = 5*k(o) + 6*m(o). What is the remainder when p(-13) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*l**4 + 33*l**4 - 8*l**3 - 22*l + 36*l to the form h*l**3 + m*l**4 + b*l**2 + x*l + j and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 + -70)\/((32\/(-68))\/8)?\nAnswer: 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, z: 1, o: 3, a: 3, u: 1, h: 5}. Give prob of sequence au.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*d**3 + 4*d - d**3 + 2 + 9*d**3 to u*d + q + z*d**2 + h*d**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, p: 1, t: 2, s: 6}. Give prob of picking 1 p and 1 g.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -929*c + 931*c = -5*l + 96, 0 = -c + 53 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2194 is divided by 39.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1582, -3308, -5182, -7204, -9374?\n\"Answer: -74*b**2 - 1504*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 11*g - 21. Let k be r(8). Solve a - k*i = 10, -3*a = -0*i - 2*i - 9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 2.097.\nAnswer: 0.4194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (21*k - 16*k - 6*k)*(-1 + 2*k + 1)*(4 - 2 - 1)*(-k - 2*k + 2*k) in the form t + o*k**2 + z*k + l*k**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.51 in 2\/3, 2\/5, -0.3, 18\/7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49239, 98413, 147603, 196815, 246055?\nAnswer: 295329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 8 + 5)*(-2 - 3 + 4)*(13*x**2 - 3*x**2 + 0*x**2).\nAnswer: 20*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 77335880311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-73 - -10) + 8 + 7 - (20 + -7 - 6).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1913 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10044 - -10040. Sort 0.7, 7\/3, c, 0 in descending order.\nAnswer: 7\/3, 0.7, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 + 15 + -15 + (5 - -107).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, j: 3, q: 3}. Give prob of picking 3 j and 1 i.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1569959 to the power of 1\/4, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64 + 8719*t - 8719*t - 56*t**2 to d*t + s + g*t**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -0.01, 5, 1\/3, 0.082?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + (sqrt(77)*4 - sqrt(77))\/sqrt(7) + sqrt(176)*-2 + 5.\nAnswer: -4*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence prtp when four letters picked without replacement from dmqtpppqrddmpqrqm?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-12)\/(-60)*5\/((-60)\/(-8)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15.199424 + 15.2. Round g to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 838 a factor of 60445295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/16 of a day?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y**3 + 2*y**2 + 2*y - 1. What is the remainder when r(-2) is divided by (5 + -2)*5*1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 5*k = -v + 15, -394*v - 5 = -396*v + 3*k for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {m: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/4 + 3713*v**2\/4 - 84640*v - 172991.\nAnswer: (v - 91)*(v + 2)*(v + 3802)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 355, 357, 359, 361, 363, 365?\n\"Answer: 2*n + 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 0*y + 29\/9*y**2 + 1\/9*y**4 + 10\/3*y**3 = 0. What is y?\nAnswer: -29, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12c1a1 (base 13) to base 10.\nAnswer: -455079","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u + 12 = 17*u. Let t(a) be the second derivative of 0*a**3 - a - 1\/6*a**4 + 0 + 0*a**u. Let m(q) = -8*q**2. Give t(m(n)).\nAnswer: -128*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2048 divided by 2.\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v + v - 3*v + (-1 + 4 - 2)*(-1 + 1 + 2*v))*(5 - 2 - 7) to s + m*v and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3*i + 41. Let s be a(11). Let b be (s\/5)\/((-4)\/(-90)). What is the units digit of 2 - b\/21 - 2094\/(-21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 3*q**4\/4 + 376545*q**3\/4 - 1506225*q**2\/4 + 376575*q\/4 + 1129671\/2 = 0.\nAnswer: -125519, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -109 + 109. Let y = -236\/2805 + 2\/33. Is g bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 6*v - 60. Suppose c + v = 6*c. Suppose 0 = 2*d - c - 29. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -539*h - 14429 = -2032 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7881 - 5?\nAnswer: 7877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 79 + -76. Find the third derivative of w*o**2 - 10*o**6 - 11*o**6 - o**6 + 0*o**6 wrt o.\nAnswer: -2640*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -5. Suppose -4*z - p*d + 39 = 0, 0*z + 3*z - 43 = -5*d. What is the remainder when z is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -7682*v + 169010. Give p(22).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n**2 + 6*n - 6*n.\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k**2 + 2*k + 49. Let x(u) = -4*u**2 - u. Let t(q) = -h(q) - x(q). Determine t(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5269, -3901, -2531, -1159?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a millennium?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 6*d**2 - 13*d - 35. Let o be s(-7). Suppose -o*j = 8 - 29. Solve -5*y - 32 = 4*v - 3, -19 = 4*v + j*y for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17417 is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3289 + 3289. Which is the biggest value? (a) w (b) -3\/8 (c) -5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 26, 0.5, -4, 1, -23.\nAnswer: -23, -4, -1, 0.5, 1, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k - 5. Let q(f) = -6*f - 7*f - 14 + 9*f + 9*f + 4*f. Determine -4*q(s) + 11*y(s).\nAnswer: -3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -27 - 8*g - 21 - 27 + 72. Let s(z) = -17*z - 6. What is 7*i(u) - 3*s(u)?\nAnswer: -5*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49.4 - 49. Suppose -2*v - 3*d + 11 = -3, -5*v = -5*d + 15. Let h be (-16)\/6 - (-7 + 5 + 0). What is the closest to v in o, 10, h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -14. Suppose -4*g + 7*g = l. Solve -t + 0 = -g for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*t = -3 - 54 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**3\/15 - 838*l**2\/15 - 26974*l\/15 + 230566\/15 = 0. What is l?\nAnswer: -383, -43, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6536, -13026, -19466, -25856, -32196, -38486, -44726?\nAnswer: -50916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.03 + 260.03. Let h = r + -255. What is the second smallest value in 0, h, -0.4, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 5*z + 18 + 6 = 0, z - 30 = -5*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.5, -10.36, 0.4, -2\/13.\nAnswer: -10.36, -2, -2\/13, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1895 is divided by 87?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 421 + 317 = 6*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 26 = 5*u, -5*s + 24 = -0*u - 2*u. Solve 0 = 5*y - 3*k + 8, -1 + 0 = -s*y - 5*k for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6337022439 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 50211 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -82\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1830 divided by -5.\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 696.7 rounded to the nearest 10?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 2*y - 25 = y, 0 = -4*b + 3*y + 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0338426309 rounded to 3 dps?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (18\/(-63) + (-46)\/(-14)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -1 (c) 3\/7 (d) -4.28 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 142 and 142 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1586\/715 + -1*2. Let y = 249\/385 - w. Let n = -134 + 539\/4. Which is the second biggest value? (a) y (b) -2\/11 (c) n (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -451, 0, -1\/6, 0.4, 3\/577?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one quarter of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/6 - (-20)\/15. Let o be ((-1)\/u)\/(-2 + 4 + -4). Find b such that -1\/4 - 1\/4*b + 1\/4*b**2 + o*b**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**4 - 430*t**3 + 3*t**2 + 13*t. Let o(q) = q**4 - 3*q**3 - q**2 + 3*q + 1. Let w(m) = d(m) - 2*o(m). Find the third derivative of w(p) wrt p.\nAnswer: -24*p - 2544","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29 or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z - 11*z**2 + 2*z - 12*z**2 + 20*z**2.\nAnswer: -3*z**2 + 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 553337797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -69*t**2 + 17*t + 3. Let d(n) = 133*n**2 - 39*n - 7. What is 4*d(c) + 9*i(c)?\nAnswer: -89*c**2 - 3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*c + 20*c + 25*c)*(5 + 1 - 1)*(0 + 8 + 5).\nAnswer: 2340*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -5*j - 7. What is g(3)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261072 is divided by 1419.\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 530\/(-7) - 16\/56. Let y = j + 121. Is 15 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4110545000 to the nearest one million.\nAnswer: -4111000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/(-8 + 8 + -1). Let b(i) = -i**2 + 4*i + 18. What is b(a)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1336813963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 9:23 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -10993 + 10993 + 58*a**2 + 45*a**2 in the form r*a**2 + y*a + z and give r.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 7*b + 5. Let a(y) = -1. Let i(s) = a(s) + j(s). Suppose 19 - 54 = 5*z. Give i(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3391.7 + 4144.7. Which is the nearest to 2\/3? (a) -0.02 (b) -2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, x: 2, i: 3, s: 1, q: 10}. What is prob of sequence sqqo?\nAnswer: 3\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 927564222?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4084?\nAnswer: 2, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 74.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 + 33. Let r be 13 + 1\/((-2)\/n). Suppose 0 = -3*g, c - 5*g = 7 + r. Does 4 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1393536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3))**(-22)*(k*k**(-12))\/((k**2*k*k)\/k) assuming k is positive.\nAnswer: k**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express x**4 - 50*x**3 - 2*x**4 + 10 - 2*x + 0*x**4 + 56*x**3 - 6*x**2 - 9 in the form r*x + q*x**4 + d*x**2 + l*x**3 + u and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1450136, -1450135, -1450134?\n\"Answer: u - 1450137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(5) + sqrt(405)\/sqrt(9) - (sqrt(45) + 2*(sqrt(45) - sqrt(180)))\/sqrt(9).\nAnswer: -1 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-14) + 55\/30.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 2*f - 4*f)*(501 - 290 - 333).\nAnswer: 366*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, -2, -39, -112, -233, -414, -667, -1004?\nAnswer: -1437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 9:00 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 66*z + 9. Let v be g(0). Solve -26 = v*d + 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 5*p**2\/2 + 727. Let u(a) = 115*a + 1. Calculate z(u(v)).\nAnswer: 575*v + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + s + 4*s + 5*s.\nAnswer: 11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7271535 + -575?\nAnswer: -7272332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 4 - (-49 + -4) - 4\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lltqx. What is prob of picking 1 t and 1 l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5804 - 3675. Let a = -9472.0006 - z. Let n = -7 + a. What is n rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m + 1. Let q(o) be the first derivative of 2*o**2 + 23*o + 50. Determine -5*d(u) + q(u).\nAnswer: -u + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 1375*i**2 + 4 + 4 - 8 - 1372*i**2. Let r(v) = 2*v**2 - 180. Calculate r(m(x)).\nAnswer: 18*x**4 - 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 4\/5 (c) 0 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 488 = -989. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 10\/3 (c) -526 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 225, -2\/11, -2\/5, 0.2 in decreasing order.\nAnswer: 225, 0.2, -2\/11, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 182*j + 1839. Calculate z(-12).\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4438466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51481.\nAnswer: 51481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (374 + -372)\/((-34)\/(-119) - 354\/357)?\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (300\/(-40)*(-3)\/(-27))\/((-3)\/(-6))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 g when three letters picked without replacement from ssnnntnwsnngngsg.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 1104256.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4 = -2. Suppose -8 = m*i - 12. Solve 0*l - 10 = -i*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 5*h**2 - 3*h - 1. Calculate x(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -36\/5*o + 89 - 6\/5*o**2 + 1\/5*o**3. Let d(a) = 0. What is a?\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29540 * -0.1\nAnswer: -2954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 1 = 5*g. Suppose 4*n + 2 = g*p + 2*n, 0 = 5*p - 4*n - 6. Let y = 18 - 8. What is the greatest common factor of p and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**2 + 1521996*y - 79138384 = 0?\nAnswer: 52, 760946","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1868796 by -30636.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from vxvfxvxdvxxdd?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16101 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*z = 6, -1 = -3*l - 4*z + 11. Suppose -26*r + 31*r = l. Find f such that r*f - 4\/3*f**4 + 8\/3*f**2 + 0*f**3 - 4\/3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w - 2*w - 7*w. Let d be c(-2). Suppose 0 = -0*v - 5*v + 4*o + d, 3*o - 19 = -4*v. Solve 4*g = -v - 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of t**3\/3 - 36. Let h(y) = -35*y**2. Determine h(w(u)).\nAnswer: -35*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t. Let f be s(-5). Find the third derivative of -f*g**2 + 6*g**3 - 9*g**4 - 6*g**3 wrt g.\nAnswer: -216*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + sqrt(6)\/(3*sqrt(3)) + sqrt(20)\/sqrt(160) + -1.\nAnswer: -1 + 19*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000133 rounded to 7 decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 36097.69 years in centuries?\nAnswer: 360.9769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -36, 1240 in descending order.\nAnswer: 1240, 3, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 20, 205, 3, 2, -1\/443?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 922.\nAnswer: 1\/922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9564120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 13. Let w = 4\/2963 + -3546731\/14815. Let r = w + 239. Which is the closest to -1? (a) -1\/9 (b) o (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*s - 2203 = 0, -4*f - 3*s + 5094 + 3813 = 0. Suppose -f = 9*v - 17172. List the prime factors of v.\nAnswer: 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**2 - 76*o + 46. Determine a(37).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 66466551139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.5*-8067.\nAnswer: -20167.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4333 divided by -41?\nAnswer: 4333\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.55 + -0.05. Let l = q + 0.1. Let i = -678.52 + 679.52. Which is the second smallest value? (a) i (b) l (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -194, 29, -2, 42, -3, 9, -1 in descending order.\nAnswer: 42, 29, 9, -1, -2, -3, -194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 + -21.2. Let z = u - 1.6. Which is the biggest value? (a) 2\/3 (b) -3 (c) z (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -j**5\/20 + j**4\/2 + 11*j**3\/6 - 9*j**2\/2 - 13*j. Let h be w(7). Suppose -17*r + h*r = 0. Put -2, r, 2 in descending order.\nAnswer: 2, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -139 - -165. Which is greater: n or 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2819 + -2820. Sort 5, 0, v in descending order.\nAnswer: 5, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 + 64. Suppose -1767 + 311 = -13*b. What is the remainder when b is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t + 1. Let o be -3 - (-1)\/((-3)\/(-6) + 0). Let f(n) = -n. Give o*f(a) + l(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 24006350 to the nearest 1000000.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of 2*y + 1\/3*y**2 + 0 - 1\/6*y**3 + 1\/36*y**4. Let f(t) = 0. What is t?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49545883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 17 - 10*n**2.\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39 - -3. Let n = -40 - s. Let u(w) = -w**2 - 5*w + 4. Let m be u(-5). Sort m, 1, n.\nAnswer: n, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*2\/(-4) - (-927)\/(-618).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**2. Let x = -133 - -33. Let y(z) = -5*z**2 + 25. Let p(r) = -1. Let q(b) = x*p(b) - 4*y(b). Determine q(a(o)).\nAnswer: 80*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-259)\/14)\/(1\/(-2)). Solve 3*d + 8 = -4*j - d, -5*j + 4*d = h for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16937856 divided by 292032\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9.36, -0.3, 0, 4, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7650.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 15 = -v, -3248*v = -p - 3244*v + 24 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.6726*-0.4.\nAnswer: 3.06904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b**4 - 24159693*b**2*z**3 - 6*b*z + 12*z**3 + 23761*z**2 + 1 wrt b.\nAnswer: -36*b**2 - 48319386*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -172 and -0.1794?\nAnswer: 30.8568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8950.98 - 8951. Does l = 49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 10542 = g. Let i be 0 - (g\/(-27) + -1). Let t = i - -194. What is the closest to t in 2, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (68\/119)\/((-28)\/1323)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 416976371?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.3, 1\/5, 2217?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17206 divided by -2458?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**5 - 12528*c**3 + 17*c**2 + 356*c - 2.\nAnswer: -60*c**2 - 75168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-w + w + 2*w**2)*(-3 + 1 + 4) + 553*w**2 - 275*w**2 - 277*w**2 + 18*w)*(w**3 + 4*w**3 - 6*w**3).\nAnswer: -5*w**5 - 18*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.005498 (b) -3 (c) 2\/21 (d) -1\/8 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2565 + 2562. Suppose -2*c - 5*u = -0*c - 84, 4*c - u = 190. Sort c, y, 4.\nAnswer: y, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329 a factor of 1840583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -436*j - 3673. List the prime factors of k(-77).\nAnswer: 29, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2343 is divided by 102.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7681334879*f - 7681334882*f + 3*f**2 + 15362669761*f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k\/((k*(k\/(k*k\/(k\/((k*(k**13*k)\/k*k)\/k*k))*k*k))\/k)\/k)))\/(k\/k**(-9)*k))\/(k**(-3))**(-33))**(-7) assuming k is positive.\nAnswer: k**896","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 180 - 165. Suppose 34 + 116 = y*w. Suppose 3*d = 3*b - 69, 4*d - 32 - 56 = -5*b. Calculate the highest common factor of b and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(-130)*((-12)\/(-1))\/(192\/48)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 74093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**5 + 0*m**5 + 0*m**5 + (-1 + 1 - 3*m**4)*(-10*m - 129*m - 74*m).\nAnswer: 641*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 + -8. Suppose -w = -6*w - q. Let j = 20 + w. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1\/(-3))\/(6\/(-18342))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 2 (c) -2\/7 (d) -3623272\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/20 and ((-9)\/(-135))\/((-4)\/130)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**22*q\/q**17)\/(q\/q**3*q)**(-11) assuming q is positive.\nAnswer: q**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) 0.09 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/21 of a week in hours?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b - 8. Let x be n(-6). Suppose 0 + 8 = 4*y. Solve k = y*k - x for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/8 and 91\/4373818.\nAnswer: 17495272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/34549 and -71\/5764?\nAnswer: 199140436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 11 = -39*v + 34*v, 5*v - 2*l = 13 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -190 or -189?\nAnswer: -190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 55 = 45. Round n to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -c359805?\nAnswer: c359805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 12:41 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/8)\/((-3)\/(-168)). Suppose 8*b - k = b. Solve b*l - 3*l = 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, -33, -3, -0.4, -52?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -742 - -20101\/27. Calculate the common denominator of g and 49\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1725 - -33?\nAnswer: 1758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 56*n + 824. Give h(-14).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(126)\/(sqrt(6)\/sqrt(2) + sqrt(3)) + sqrt(42) - sqrt(42)) + sqrt(294)\/(sqrt(28)\/sqrt(4)))\/((-4*2*sqrt(72))\/sqrt(12))*6)**2.\nAnswer: 567\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/14 + 268\/28. Suppose -2*o = 6 - r. Solve 2*v = 3*v + o for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i - 14 = 36 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20454 = 3*a - 2679. Is a a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i + 9*i + 2*i + 2*i.\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000034827 to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**5 + 144*j**4 - 524*j**3 + 368*j**2 + 528*j - 512 = 0 for j.\nAnswer: -1, 1, 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 12, o: 6}. Give prob of picking 1 o and 2 u.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 456738 is divided by 456401?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2859098129 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 1390?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 10:14 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -222, -241, -276, -327, -394, -477, -576?\n\"Answer: -8*r**2 + 5*r - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2016*d + 3229 - 3229 + 16*d)*(-2*d + 0*d + 4*d) to h + u*d + b*d**2 and give b.\nAnswer: 4064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z**2 - 8*z + 6. Let f(x) = -4*x**2 + 9*x - 7. Let k(m) = -4*f(m) - 5*t(m). Let q be k(-5). Solve 0 = -l + q - 2, -2*l = -4*j - 22 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -607554 take away 203929?\nAnswer: -811483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 25574 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -138 + (175 - 84) - -97?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 4*w - 18 = 0. Let y be w\/((-36)\/14) - -2. Which is the closest to y? (a) -0.2 (b) 1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-4))\/((-5)\/20)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y + 5002*y**2 - 4994*y**2 - 22*y as j*y**2 + o + l*y and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 239328 and 4986.\nAnswer: 239328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-22)\/44)\/(-1*(-1)\/(-244)). Suppose 13*z = t + 99. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05173 rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - 2)*(5 + w - 5)*(4*w + 6 - 2*w - 11) + 182 + 7*w**2 - 182 as q*w**2 + i + c*w and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54*64\/(-2592))\/((-2)\/(-9)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1326 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3996*2763.\nAnswer: 11040948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tytyyyyttytyy. What is prob of sequence tty?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1110253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 10:27 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(-4 - 40\/(-12)). Let b be (66 - -8)*(-3 - -2). Let z = -69 - b. Put 0, v, z in ascending order.\nAnswer: 0, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + a + 4*a)*(4 - 3 + 1)*(0*a + a - 3*a)*(6 - 5 + 9).\nAnswer: -160*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10600020 = -n + 4*u, -u - 55733290 = -4*n - 13333285. Suppose 2*s + n = 4*s. Round s to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 3*n + 40 = -0*q, -3*n = 0. Suppose 2*s - 2*g = 10, 149 - 164 = -s + 6*g. Sort -3, s, q, 4 in descending order.\nAnswer: q, 4, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -460, -927, -1374, -1801?\n\"Answer: 10*q**2 - 497*q + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-30)\/(-45))\/((-2)\/(-6)). Suppose b*u - 25 = 3*a, -2*u + 3*a - a + 20 = 0. Solve -u*p + 7 + 3 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z + 5*z - 2*z)*(0 + 2 - 4)*(-12 + 12 + 51) to f + h*z and give h.\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 75056308, 75056308, 75056306, 75056302, 75056296?\n\"Answer: -y**2 + 3*y + 75056306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 7 = -9. Let r be (-5)\/(-2)*(-4)\/(-2). Suppose -5*a + 69 = -r*n + 209, -5*n - t*a = -140. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z + 3*z + 23080 - 23080.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 272758 (base 10) to base 6.\nAnswer: 5502434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y + y + 2*y + (-4*y + 7*y + 8*y)*(49 + 0 + 95) + (-y + 2*y + 2 + 0)*(3 - 5 - 1) to h*y + r and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -k**6\/6 + 62*k**5\/25 + k**4\/4 - 62*k**3\/15 + 1780. Find g, given that i(g) = 0.\nAnswer: -1, 0, 1, 62\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 175989\/60 - 1 - (-2)\/(-8). Let r = 2923 - t. Find the common denominator of r and (-3)\/6*(28 + 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 36 = -8. Differentiate m + 4 - 52*m + 5 - d wrt m.\nAnswer: -51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*7\/42 + 33\/6. Suppose f - 3*u = -1 + 12, p*u + 25 = 3*f. Solve f*o + 2*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -9093*b. Let q(f) = -4*f**2. Give x(q(t)).\nAnswer: 36372*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/10*3\/((-444)\/370)*2\/57\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -1, 3171 in increasing order.\nAnswer: -1, 15, 3171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 54 = n. Let b = n - -104. What is the highest common factor of 11 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2783.701 - 4.699. What is l rounded to the nearest ten?\nAnswer: -2790","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - ((3 + 2 - 2) + 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 5*r - 3*r)*(-1 + 1 - r) - 9*r**2 - 2*r**2 + 5*r**2.\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v - 8 = 11*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 122\/395 - 6392\/30415. What is the common denominator of 91\/880 and y?\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**5*p**(-1)*p)\/(p**(2\/5))**(-1\/6)*(p**2\/p)**10\/((p**1*p)\/p**(-3)) assuming p is positive.\nAnswer: p**(151\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -10, 8*h - 25 = j + 3*h. Let u be (-364)\/65 + 4\/(-10). Which is the closest to j? (a) 0 (b) -4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1619 = -102*n + 75 - 164. Calculate the smallest common multiple of n and 700.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 256 = 13*d + 2*l, 2*d = -4*l + 112. Sort -5, d, -4, 1 in ascending order.\nAnswer: -5, -4, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220*a - 177 + 177.\nAnswer: -220*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 2 k, and 1 e when four letters picked without replacement from {k: 3, e: 4, p: 2, w: 4, q: 1, b: 1}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 174 + -175. Let v be 32 + -43 - (g + -1). Let w(b) = 2*b + 22. Calculate w(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: 119013 divided by -24\nAnswer: -39671\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 560251?\nAnswer: 1120502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 26*l**3 + 3*l**2 + 3*l - 10. Let w be s(2). Let j = 647\/3 - w. Sort j, 8, 5 in decreasing order.\nAnswer: 8, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**2 - 5*d + 2. Let v = 22 - 8. Let w = v - 11. Let s be f(w). Calculate the highest common divisor of 25 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11192?\nAnswer: 2, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2786, -2755, -2718, -2687, -2674?\n\"Answer: -2*v**3 + 15*v**2 - 2799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 4*y. Let l be p(-5). Suppose -2*t - 16 = 3*c - 241, l*c + 4*t = 373. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -143, -129, -91, -17, 105, 287, 541, 879?\n\"Answer: 2*f**3 - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(-10)\/(-48))\/(2\/12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*q - 15 = -71*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67747817 and 953?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 198673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -151, 3, 28.\nAnswer: -151, 1, 3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 3*w + 34, -120*w = -121*w - 6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 6:31 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -62*h**2 - 254*h - 33. Determine g(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 5*q, -q + 0 = -2. Suppose 366 = u*k - 104. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*o - 118 = 472 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -c**6\/720 + c**5\/24 + c**4\/6 + 3*c**2. Let m(r) be the second derivative of s(r). Let o(z) = -z + 7. Give 7*m(q) - 5*o(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 12:15 PM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.4, -1\/9, -0.5, 3, 0.278.\nAnswer: -1, -0.5, -1\/9, 0.278, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13.9 - 17.9. Which is the second smallest value? (a) 6\/7 (b) -5 (c) x (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h + 1. Suppose -5*r - 4 = 1, 0 = 5*t - 3*r - 13. Let k be o(t). Let i(v) = 3*v + 6. Determine i(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1130 - -1169. Solve 2*n - 43 = -f for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1217577261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 774819 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 10*c + 2. Let s(o) = -o**3 + 5*o**2 - 4*o + 3. What is the smallest common multiple of u(-9) and s(4)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 4*r**2 - 5*r - 5. Suppose -j - 5 = -0*j - t, j + 11 = 3*t. Let w = 7 + j. What is d(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 3 = -p. Suppose -22 - 38 = -p*m. Suppose 0 = 2*k - 3*k + m. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213384761.9 less than 2.33541?\nAnswer: -213384759.56459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000121127 to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*f**2*p**4 + 3*f**2*p**2 - 1184*f**2*p - 3337*f*p**4 - 155*f*p**2 + 126*p**3 wrt p.\nAnswer: -72*f**2*p - 80088*f*p + 756","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 22884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 2 = -4*m. Suppose 2*n + 3*w = m*w + 3, -15 = 3*w. Suppose x + 2 = -n*z, x + 5*z + 7 = 2*x. Solve -4*q = -3*y, 2*q + 2 = x*y - 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 329, -34, -2, 2, 3 in ascending order.\nAnswer: -34, -2, 2, 3, 329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s. Let j(f) = -3624 + 1812 + 1812 + 794*f**2. What is r(j(h))?\nAnswer: -794*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 at least 242\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1510 + 625530?\nAnswer: 630340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 973 is divided by 274.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 n when four letters picked without replacement from nnnnunuu.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 280*k + 1723*k - 342*k + 2 - 2.\nAnswer: 1661*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 151 (base 10) to base 4.\nAnswer: 2113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + p - 1296 = 0. What is the biggest value in -3, 6\/11, p?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 465*x**2 + 0*x - 940*x**2 + 480*x**2 + 0*x.\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 45867861, 45867860, 45867859?\n\"Answer: -m + 45867862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.3489069 rounded to one dp?\nAnswer: -12.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j - 2. Let o be a(-4). Let d(r) = o - 4 + 2*r + 1 - 4*r. Determine d(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, -6, -39, -106, -219, -390?\nAnswer: -631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(567) + 2 + 5 - (sqrt(567) + -1*sqrt(567)*-5 + sqrt(567))**2.\nAnswer: -27776 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 75840 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 3895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 1\/3 (b) 1 (c) 1\/40 (d) 2 (e) -722\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 2:00 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 8664)*(12 + (7 - (-14 - 7))). What is j rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -808 - -2108. Is r a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(125) + sqrt(125) + sqrt(125) + -1 + sqrt(125) + 0)**2 + (sqrt(125) - (3 + sqrt(125) + -4)).\nAnswer: -40*sqrt(5) + 1997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6980 from -0.08.\nAnswer: -6980.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15463843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/25)\/(g**(2\/13)\/g))\/((g**(-12)*g*g)\/g*g**14) assuming g is positive.\nAnswer: g**(-674\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 590*t + 3*t**2 - 28 - 590*t + 46 - 6.\nAnswer: 3*t**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1691471.\nAnswer: 59, 28669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -3. Suppose 0 = -a + u*g + 17 - 5, 4*a = 2*g + 6. Let i be ((-6)\/(-4))\/(3\/(-2)). Sort i, a, -7 in increasing order.\nAnswer: -7, i, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7972661266 take away 1172?\nAnswer: 7972660094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t**3 + 0*t**3 + 0*t**3)*(2 - 3 + 47)*(-t - 2*t + t) to q*t**3 + d*t**4 + s*t**2 + b + j*t and give d.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-6) - (-230)\/(-12). Let v = 35 + f. Suppose -9 - v = -5*c. Solve 0 = c*h + 4*p + 41, p = 3*h - p + 7 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 16*q**3 - q**2 - 6*q + 6. Let h be r(1). Let a be (2\/(-3))\/(6\/(-126)). Do a and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23 + 23 + 38*k + (2 - 2*k - 2)*(-5 + 1 + 2) + 5 - 5 + 2*k - 4*k - 2*k + 5*k.\nAnswer: 43*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269 = 4*d + h + 165, -4*h = -8. Let x = d + 119. Calculate the greatest common divisor of x and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 14, a: 4}. What is prob of picking 2 g?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 113382 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -16. Suppose -d*o - 3*c - 33 = 2*c, 4*o + 3*c = -33. Let m = o - -11. Solve 3*x - 2*x + m = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 152*r**2 - 25*r - 40. Determine d(-2).\nAnswer: 618","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 13\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2002133 (base 4) to base 11.\nAnswer: 6302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 12, 7 = 3*k - 3*s - 2*s. Let i = 18 - k. What is the tens digit of (i\/(-3))\/(-3)*16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -7*v - 50. Let n be (v - -5)\/(0 - 1). Suppose -m - b + 9 = 0, n*b - 2*b = -5*m + 39. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 82.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.9 - 0.4. Let x = -1.06 + 0.06. Is x >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*p - 2 = 0. Suppose -3 = 9*a - 12*a. Let r be a + -1*(-2 + 3). Solve r*t + 4 = p*t, -2*t = 4*i - 16 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 85 = -0*l. Let b = -22 - l. Put -1\/3, 2\/3, 0, b in increasing order.\nAnswer: b, -1\/3, 0, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000144 to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, b: 2, x: 4, q: 4, j: 2}. What is prob of sequence jjqx?\nAnswer: 1\/1785","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1184, 1009, 846, 701, 580, 489?\nAnswer: 434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 24*d. Let g(p) = 23*p. Give -3*g(t) + 2*v(t).\nAnswer: -21*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 330749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 4*k**2 + k + 1. Let m(f) = 2*f**3 + 9*f**2 - 2*f - 2. Let w be (52\/(-10))\/((-1)\/(-10)). Let u = -43 - w. What is u*d(p) + 4*m(p)?\nAnswer: -p**3 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 13*j + 144. Let o(s) = 3*s - 1. Determine f(y) - 5*o(y).\nAnswer: -2*y + 149","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 3) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27214950 and 1050?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 770.843l?\nAnswer: 770843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of g**7\/231 - g**6\/165 - g**5\/11 - 4*g**4\/33 - 14*g. Let l(d) = 0. What is d?\nAnswer: -2, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1633 - 61?\nAnswer: -1704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -109 - 167*m + 83*m + 82*m + (-2*m + 1 - 1)*(3 - 5 + 4) + 2*m - 2*m - m to r*m + p and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 7*f - 1. Suppose 4*x + 30 = a - 3*a, 31 = -4*x - 3*a. Let i be u(x). Is i equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-8))\/((-3)\/2). Let m = 1.022 - -0.978. Which is the closest to k? (a) -0.5 (b) 2\/25 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (366\/(-144) + (-4)\/(-6))*(-8)\/20?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 222537 to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-200)*4*-40*20\/32\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -427*r**2 - 12601*r - 6331. What is c(-29)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + 17 - (-4 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(96)\/sqrt(3))\/sqrt(8))\/(sqrt(6)\/(sqrt(3) - (sqrt(3) - sqrt(48))*6))*2.\nAnswer: -190*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of u**5\/20 - 2*u**4\/3 + 3*u**3\/2 + u**2\/2 - 2*u + 5. Let k(l) be the first derivative of j(l). What is the units digit of k(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wbjwwkjbwbwwsbb. What is prob of sequence bw?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 7*y**2 + 7*y + 9. What is the remainder when i(-8) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 5*a - 6*a)*(3*a**2 + 0*a**2 + 0*a**2)*(a**2 + 10*a**2 - 3*a**2).\nAnswer: -48*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1427569996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(204))\/sqrt(12) + sqrt(17) + sqrt(2057)*1 + sqrt(2057).\nAnswer: 22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*h + 1. Let z be (-6)\/(-4) - h\/2. Let u(w) = 5*w - 3*w - 6*w + z*w. Let s(p) = p. Give u(s(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/12*9\/(-6). Let h = -2.6 + 2.7. Sort h, -4, j in ascending order.\nAnswer: -4, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 + -1.8. Let b(x) = x**3 + 32*x**2 + 6*x + 193. Let i be b(-32). Are y and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -48 - -87. Let g be (-3 + 1 - -5)*v. Calculate the highest common factor of g and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j**4 + j**4 + 2*j**4 + (-4*j**2 + 0*j**2 + 3*j**2)*(j**2 - 3*j**2 + j**2) + 2*j**4 + 0*j**4 - j**4 + 3295*j**3 - 524*j**4 - 3295*j**3.\nAnswer: -524*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68 (base 10) to base 5.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d**3 - d**2 - d. Let i(n) = n**2 + 3*n - 1. Let j be i(-3). Let m be w(j). Suppose 0*y = m*y - 18. Is y a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6107.415 microseconds in seconds?\nAnswer: 0.006107415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 256285919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 e when three letters picked without replacement from {d: 1, e: 4, i: 6, w: 2, q: 3, u: 2}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 212005 and 571705.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**3 - 39*g**2 + 69*g - 33 = 0.\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 87886 <= 87902?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**4\/5 - 31434*b**3\/5 - 1537913*b**2\/5 - 301296*b = 0.\nAnswer: -31385, -48, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.003 - 21.997. Let p be 2\/8 + 323\/68. Suppose -8*i - 2*z + 7 = -p*i, -4*i + 3*z = -32. Put 3, l, i in increasing order.\nAnswer: l, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 20 and -89.1.\nAnswer: -69.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1560145398 less than or equal to -1560145397?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 25, -29, 7, 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 39698, 159051, 358060, 636725, 995046?\n\"Answer: 39828*w**2 - 131*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 90512?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -15. Solve -u*a - 19 = -5*x, -3*a + 0*a = 5*x - 31 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -13.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1602379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3838.89 - -465.51. Round p to the nearest one hundred.\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-1 - 2\/18)*119\/(1190\/75)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.023 - -0.223. Let c be (-14)\/3 + 1\/(-3). What is the biggest value in r, -1, c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/2005 and -57\/365.\nAnswer: 146365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/32*76*(1 + 3). What is the first derivative of -74*z - 137 - r*z - 19*z - 90 - 99*z wrt z?\nAnswer: -211","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3483.18mm to micrometers.\nAnswer: 3483180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11*(10\/(-5))\/(-2)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-10) + 6*(-108)\/30. Let f be 33\/r*(-2)\/6*4. What is the second derivative of 24*m + 889*m**2 - 429*m**f - 438*m**2 wrt m?\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/((r*r\/r**(-11))\/r)*(r\/(r\/(r*r**17)))\/r*r assuming r is positive.\nAnswer: r**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 38 - 11 = 0. Let j = 160 + -148. What is the least common multiple of i and j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -9*f**3 - 3*f + 3. Let w(n) = -5 - 1 + 4 - 14*n**3 + 22*n**3 + 2*n + n**2. Let d(j) = -2*c(j) - 3*w(j). What is the third derivative of d(g) wrt g?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44*a**2*q**2 - 9*a**2*q - 53*a**2 - 56*a*q**4 - 2*q - 2 wrt q?\nAnswer: -88*a**2 - 672*a*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, o: 1, l: 1}. What is prob of picking 1 o and 2 i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -229051.2 to the nearest 10000.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1708, -1902, -2422, -3430, -5088?\nAnswer: -7558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*3 - (116 + -165). What is the highest common factor of d and 481?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n + 8. Let s be j(6). Let f(q) = -q**2 - q + 12. Let d be f(s). Suppose d*i - i + 4*z + 5 = 0, -z - 17 = -i. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 114 - 108, 16 = 5*c + 2*t. Solve a = -c*v + 7*v + 2, 0 = -3*a + 3*v - 6 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/4 of a kilometer in meters?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100030030 - 2?\nAnswer: -100030032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*r**3 - 4 + 4)*(-1 - 4 + 3) + r**3 + 4*r**3 - 3*r**3)*(0*r - 3*r + 4*r) as z*r + l + j*r**2 + i*r**3 + c*r**4 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 345*o**3 - 34*o**2 + 216*o - 64. Is t(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence etg when three letters picked without replacement from egtegggtgt.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6245 divided by 190.\nAnswer: -1249\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 26 + -65444?\nAnswer: -65415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/(-4) - 486\/(-24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -109 (base 10) in base 6?\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0299 + -4.7299. Let y = -4.69 - i. Which is the smallest value? (a) -7 (b) 1\/4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 15. Let y be r + (-2 - -7) - -4. Suppose 128 = 5*a - 3*d - 124, 3*a = -3*d + 132. What is the highest common divisor of y and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10*(-9)\/(-150) + (-3)\/12. Let k(x) be the second derivative of -o*x**5 + 0*x**4 + 27*x + 0 - 3*x**3 + 0*x**2. Find the second derivative of k(l) wrt l.\nAnswer: -42*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 49132*r + 80307?\nAnswer: 49132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkeez. Give prob of picking 2 k and 1 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 26*s**2 - 1. Suppose 3*l + 12 = 3*f, 0 = 4*f - l + 4*l + 5. What is the units digit of r(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 365 = 3*c, -5*x = 4*c - 5*c + 126. Is c a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 2*q**9\/21 - q**5\/12 - 15*q**2. Find the third derivative of k(x) wrt x.\nAnswer: 5760*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18403 and 112.\nAnswer: 294448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 566180412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6678, -13369, -20070, -26781, -33502?\nAnswer: -40233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.29 + 0.29. Let c = 2.9 + -3. Let r = -436 - -441. Sort j, c, r in increasing order.\nAnswer: j, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u - 341*u**3 + 7*u - 12*u - 100*u**3.\nAnswer: -441*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -582 + 585. Suppose l = -q*v + 26 - 6, 0 = 2*v - 2*l. Let p = -1 + 7. Solve -5*u = v, -3*o - 2*u - p = -4*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 582 + 291*f**2 - 290*f**2 + 663.\nAnswer: f**2 + 1245","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 131*g + 113*g - 21*g + (-1 + 1 - g)*(1 - 5 + 2) + 2*g - g + g - 2*g - 7*g + 3*g + 0 + 2*g + 0.\nAnswer: 223*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8298 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11906 by -1.\nAnswer: 11906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 54610, 54641, 54692, 54763, 54854?\n\"Answer: 10*d**2 + d + 54599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10242 - 6191. What is the hundreds digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1165717, -2331432, -3497147, -4662862, -5828577, -6994292?\n\"Answer: -1165715*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 132*k**3*x + 3*k**2*x - 8*k*x wrt k.\nAnswer: 792*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 633 - 22.12.\nAnswer: 610.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/(-35) + (-56)\/(-10). Let d(g) be the first derivative of g**4\/4 - 2*g**3 - g**2 + 9*g - 48. What is d(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 818133?\nAnswer: 3, 23, 71, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one sixteenth of a centimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 244*g - 481. What is l(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 1197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 467 + -461. What is the closest to -2 in 0.03, 3, o, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4) + sqrt(4)*3)*1)\/(sqrt(200)*-3 + sqrt(200) - sqrt(200)).\nAnswer: -2*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -255 - -267. Solve -m*z + 34 + 26 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6972 + -6912. What is the remainder when s is divided by 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 583*m = -0*m - 265*m - 4854 + 24358 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172 divided by 4.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 - 493248*c**3 + 493245*c**3 + 25.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-210)\/63*1\/(10\/(-24)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 - 2*y - 172. Let i be l(12). Is 446*((-3)\/21 + i\/56) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -z**8\/168 + z**7\/105 + z**6\/20 - z**5\/30 - z**4\/6 - z**2 - 32*z. Suppose m(q) = 0. What is q?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1909, -3818, -5727, -7636, -9545?\nAnswer: -11454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -729 + 845. Does 4 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k - 3 + 5 - 4*k)*(135*k + 20520 + 20514 - 41042)*(-k + 3 - 3) as a*k**3 + r + p*k**2 + h*k and give a.\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2858611 is divided by 214?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 6:29 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 1001371\nAnswer: 2\/1001371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**2\/9 + 1439818*z\/9 - 159980 = 0?\nAnswer: -719910, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5 + 1 + sqrt(832) + sqrt(832) + 4 - (5*sqrt(832)*3 + -1)**2)*5.\nAnswer: -2560*sqrt(13) + 1871910","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*0.156171\nAnswer: -0.0780855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 1135*x - 86860. Calculate o(76).\nAnswer: -600","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3001 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3826, 3388, 2662, 1648, 346, -1244, -3122?\nAnswer: -5288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 34069287 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**4\/9 - 3*u**3 - 31*u**2\/9 + 55*u + 500\/9 = 0.\nAnswer: -25, -5, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 40*p**2 + 6*p - 98. Let w(j) = 13*j**2 + 2*j - 32. Let i(a) = -2*l(a) + 7*w(a). What is the tens digit of i(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 + (7*2664\/(-107856))\/((-1)\/110)\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**4)\/r)**48)**(-9) assuming r is positive.\nAnswer: r**1728","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 13*l**3 + 3*l**2 - 3. Let i(w) = -6254 + 6423 - 373*w**3 - 301*w**3 - 169*w**2 - 28*w**3 - 26*w**3. What is 338*c(d) + 6*i(d)?\nAnswer: 26*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11757772 + 8145505. Let h = q + 3612265.7999976. Let y = -1.2 - h. Round y to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 531187268?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 15308410 minus 1?\nAnswer: 15308409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*y - 482111 + 484619 for y.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9.5, -5, 5, 6.204, 0.8.\nAnswer: -5, 0.8, 5, 6.204, 9.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16346281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-125)\/(-375)*(-6)\/8*-28\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 796312 is divided by 39813.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1100) - (sqrt(1100)*4)**2) - (sqrt(1100)*-1*-1)**2)*-4.\nAnswer: -418000 + 240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y\/(y**(1\/7)\/y*y)))\/y*y**0\/y)\/(y\/y**(-3\/4)*y\/(y\/(y\/(y*(y\/((y*(y\/(y**(-3\/5)*y))\/y)\/y))\/y)))))**(1\/4) assuming y is positive.\nAnswer: y**(-449\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 6)*(4*i**4 - 4*i**4 + i**5) - i**5 - i + i - 8*i**5 + 11*i**5 + 2*i**5.\nAnswer: 6*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - (-10)\/3)*-3. Let j = -2 + 1.3. Which is smaller: j or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, y: 8}. What is prob of sequence ii?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 434 divide 5408320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 33060 or 33034?\nAnswer: 33060","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 7.5. Sort d, -2\/19, 1\/4 in increasing order.\nAnswer: d, -2\/19, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30614765.\nAnswer: 5, 337, 18169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42.4524 + -0.0524. Let y = -42 + g. Which is the third biggest value? (a) y (b) 2\/23 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -644046, -644061, -644078, -644097, -644118, -644141?\nAnswer: -644166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3*p**2 - 3)*(-8*p - 5*p + 17*p) + 3*p**3 + 2 - 2 as n*p**3 + s*p + l + q*p**2 and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1392.71 or 0.79?\nAnswer: 1392.71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*n, 6*x = 2*x + n - 19. Let v(d) = -d**3 - 4*d**2 + 5*d - 3. Let c be v(-5). Let g(h) = -h**3 + 9*h**2 - 7*h - 7. Let b be g(8). Sort x, c, b.\nAnswer: x, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.3 - 2.1. Let f be 4\/22 - 6\/(396\/78). Sort o, 0.1, -5, f in increasing order.\nAnswer: -5, f, 0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -4*o**2 - 27*o + 44. Calculate n(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**3 - 71029996*q**2 - 315328664189980*q + 945986631840012 = 0. What is q?\nAnswer: -8878751, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (459798 + 3*f - 459691 - f)*(3 + 1 - 3).\nAnswer: 2*f + 107","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m - 10594 = 20*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/((y**(2\/53)*y)\/y)*y\/y**(-2\/41))**(9\/7))**(10\/7))**(3\/8) assuming y is positive.\nAnswer: y**(294975\/212954)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -2 - (-1 - -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -3*s - 4*l, 21*s = 17*s + 5*l + 11 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -121338\/5 + 24458. Let f = i + -191. What is the smallest value in f, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -x**3\/3 - 10*x**2 - 33*x + 17. Calculate the remainder when 52 is divided by q(-17).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1179, -7562, -13955, -20358?\nAnswer: -26771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, 29241, 5, -1, 0 in descending order.\nAnswer: 29241, 47, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25922325721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -57*p. Let q(h) = 21*h. Calculate g(q(d)).\nAnswer: -1197*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 + 31. Suppose -3*f = 3*b - 66, 2*b - 56 = -4*f + l*b. What is the highest common divisor of 12 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kf when two letters picked without replacement from nllnlllkllflll?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -362\/5 + 6144\/85. Which is the closest to 1? (a) 4 (b) -24 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1501\/13509*((-27)\/(-6))\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264 is divided by (-68)\/17 + (-49)\/(-1).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13512269737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 394 is divided by 56.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (0 - 0) + (3 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 480 is divided by 134.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*k - 53*k + 134*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -263600 divided by 200.\nAnswer: -1318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + 3*n**2 - n**2)*(2 + 0*n**2 + n**2 - 3*n**2).\nAnswer: -2*n**4 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1810 and 6847954?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from fdfdffff?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -1\/84*q**8 + 113\/105*q**5 + 0*q - 92*q**2 - 2\/147*q**7 - 7*q**4 + 121\/210*q**6 + 48\/7*q**3 + 0. Suppose h(w) = 0. What is w?\nAnswer: -3, 2\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3\/13 (b) 29771 (c) -0.03 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 63, 4, -1\/23?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6255775 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*l**3 + 56\/3*l - 38\/9*l**2 + 0.\nAnswer: 2*l*(l - 12)*(l - 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6536 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, o: 7, k: 3, v: 4}. What is prob of sequence vlll?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 4:23 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/2977 or 0?\nAnswer: 2\/2977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/3*864\/(-384)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 0*l**2 + 4*l**2 - 2*l**2 + 1 - 4. Suppose y - 4*b - 4 = 0, -2 - 2 = 3*y - 4*b. What is the units digit of c(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 96*h**2. Let d(t) = -5*t**2. Determine d(c(l)).\nAnswer: -46080*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - l + 5 = 2*r, 15 = -3*r for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m**2 + 24*m + 51. Let l be t(-4). What is the highest common factor of l and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 578659616.\nAnswer: 2, 1117, 16189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 5:43 AM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 4*h + 12, -2*h - 4*b = 6 - 0. Let j be (((-2)\/10)\/(-1))\/(((-54)\/(-30))\/(-9)). Suppose 2*d - 6*d - 2 = -2*v, -5*v = -25. Sort j, d, h.\nAnswer: h, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*40\/25 + -1 + -2. What is the biggest value in 0.1, m, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 895079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**4\/9 + 16*c**3\/3 - 8*c**2\/3 - 544*c\/9 + 256\/3 = 0.\nAnswer: -24, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -497044, -994100, -1491154, -1988206, -2485256?\n\"Answer: l**2 - 497059*l + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**15\/(t\/(t*t**(-2\/59))) assuming t is positive.\nAnswer: t**(883\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*(3 + (sqrt(35)\/sqrt(5))**2 + (sqrt(252) - (3*sqrt(252))**2)) - (sqrt(231)\/(sqrt(11)*1 + sqrt(11)))\/((sqrt(27)\/sqrt(3))\/sqrt(3))).\nAnswer: -4518 + 23*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -82*m**4 - 28 + 2*m**2 + 160*m**4 + 10*m - 79*m**4 - 18*m to n*m**4 + s*m**2 + a*m**3 + y*m + v and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a decade in months?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -265*p**2 - 150?\nAnswer: -530*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -1, -1213, -3360 in decreasing order.\nAnswer: 3, 1, -1, -1213, -3360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43285 + 43282. Let g be 2\/(-8) - (-3)\/12. Sort -1, g, -2, s in ascending order.\nAnswer: s, -2, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*p + 13122 - 13122.\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2. Let c(m) = -5*m**2 - 10*m - 5. Let r(a) = c(a) - 4*i(a). Let x be r(-8). Suppose -3 + x = 4*h. Is 5\/6 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, m: 1, d: 1}. Give prob of sequence ada.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 6*l + 0*l - 7*l + 3*l + 3*l. Let d(h) = 0*h**2 + 9*h**2 + h**2 - h**2. What is a(d(r))?\nAnswer: 45*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000129265 to seven decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1677997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3 + sqrt(99) + ((sqrt(99) - (sqrt(99) - (-1 + sqrt(99)))) + sqrt(99))*-4 + (sqrt(891) + 6*-3*sqrt(891) - (-3*sqrt(891) + -4)))**2.\nAnswer: -2646*sqrt(11) + 237780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -5\/2911 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14070.400111 - -14069.61. Let n = 0.79 + j. What is n rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 227056490?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7312\/17 - 430. Let s be (-24)\/(1 - 1\/4). Let r be (-5)\/(-3) - (-16)\/s. What is the second smallest value in a, -1\/4, r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 6.4. Suppose 0 = -3*y + y. Let m be 9 - ((-4830)\/63)\/(26\/(-3)). Put -6, y, m, u in decreasing order.\nAnswer: u, m, y, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -11*t**2\/2 - 52*t + 39. Let v be i(-6). Find the second derivative of -23*w**4 - 11*w - v*w + 9*w - 18*w wrt w.\nAnswer: -276*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b + 1 - 1 + 0*b - 2*b + b + 5*b - 5*b - 2*b + (-1 + 1 - 2*b)*(0 + 6 - 4) - 2*b + 0*b + 0*b + (2*b + 2*b - b)*(7 - 1 - 2).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by 90?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1336?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -223*l - 480 + 34 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -5, -3, 50, 1 in ascending order.\nAnswer: -5, -3, 1, 24, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and -147965?\nAnswer: -1183720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -13724\/49, -0.2, 0.09?\nAnswer: -13724\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -59?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144082027?\nAnswer: 107, 193, 6977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1293 = -237*k - 1788 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 76321.3 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6070 - 6469 = -21*u for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 513*x - 1534. Calculate m(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (((-8540)\/(-240))\/(-61))\/(-21)\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f4b30 + -f5?\nAnswer: -1f4c25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -19*l - 1. Suppose 2*o = 3*t - 12, 4*t + t - 3*o = 19. What is the smallest common multiple of t and i(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -8. Suppose v*b - 74 = b. Suppose -b = -3*c + 2*w + 3*w, 3*c + 2*w = 44. Does 14 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/15 + (286\/66)\/13. Which is the nearest to 0? (a) 2 (b) 132 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -3*t + 84, 0 = -4*t + 14*o - 9*o + 112. Calculate the greatest common divisor of 14 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.17 - -0.13. Let r = 0.7 + l. Let k = 89\/5 + -17. Put r, -2, k in decreasing order.\nAnswer: r, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2508628 = -45*i + 831227. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -469 + 472. Suppose 2*r - 52 = -4*p, -3*p - b*r = 2*p - 66. Solve p = -3*d + 7*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-11) + 282\/(-33) + -3\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + -20. Suppose 20 = 3*v + 2*v. Let s = v + -1. Solve 0 = -0*z + s*z - p for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.9 - -3.9. Let p = 1.1 - 1. Let r = 15.28 + -15.28. Which is the closest to p? (a) r (b) z (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/882*-12*7\/(-20).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**4 - z**4 + 5*z**4)*(-8*z + 3*z - 6*z) - 3*z**5 - 4*z**3 + z**5 + 0*z**3.\nAnswer: -35*z**5 - 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43570 = -5*u + 162*m - 167*m, -34858 = -4*u - 5*m. List the prime factors of u.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -528 + 505 = 52*b + 497 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xbbsberbzbebsb. What is prob of picking 3 s and 1 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 93, -2\/17, -130?\nAnswer: -130","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 60 = -40. Solve 0 = 21*z - 17*z - h for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -59 - ((-100 - -33) + 31).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.042968 to three dps.\nAnswer: -0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 55629\/409248 - (-5)\/((-145)\/2). Are 1 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rcxrrrrrxr. Give prob of sequence rrr.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2295 by -45.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3*-1*(-3)\/(-3)*-1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-4)*7\/(-2). Let z = 1 + c. What is the remainder when 36 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3338\/73397 + -3308538336\/65690315. Let s = q + 252\/5. Which is the third biggest value? (a) 1 (b) s (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -21, -33, -45, -57?\n\"Answer: -12*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nax when three letters picked without replacement from axgngbgagbxn?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 3:28 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0*b + 14 = 0. Suppose -b = -2*h - 29. Let p(z) = -16*z**2. Let x(g) = 3*g**2. Let k(m) = h*x(m) - 2*p(m). Let t(n) = -2*n. Determine t(k(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1123, -4\/9 in descending order.\nAnswer: 1123, -4\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002278 rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 + 35. Let y be (1 + -2)\/(-3 + z). Let q = -3 - -2.9. What is the closest to q in y, 5, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 10*v**2 - 11*v - 6. Let i(g) = -1. Let c(n) = 2*i(n) - m(n). Let o be c(11). Solve -o*p + 20 = -0*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u**3 - 3*u**2 - 4*u - 1. Calculate the remainder when 206 is divided by c(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 469 = -2*u. Let b = 113 - u. Calculate the remainder when b is divided by (-4)\/2*-12 - 0.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vx when two letters picked without replacement from {f: 1, v: 1, x: 3, o: 3}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((1\/4)\/1). Let v = t - -14\/3. Let x = 0.21 + 0.09. Which is the nearest to -2\/3? (a) v (b) x (c) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3711187 is divided by 49?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 36975482?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -777 + 261 + 589*g + 260 + 353*g + 256.\nAnswer: 942*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5823 rounded to the nearest 100?\nAnswer: -5800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 2:11 PM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001110 + 101?\nAnswer: -1001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -846 in descending order.\nAnswer: -4, -5, -846","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/2*-2 - -87. Let p = -60 + 34. Let f = p + a. What are the prime factors of f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1232*w - 306 = 1198*w for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -33, -75, -149, -261, -417, -623, -885?\n\"Answer: -g**3 - 10*g**2 - 5*g - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.91 + 68.91. Let p = l - 67.9926. What is p rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 p when two letters picked without replacement from {p: 3, o: 1, v: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 0.4 (c) 1 (d) -3379 (e) -29\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -269166, -269126, -269024, -268830, -268514, -268046, -267396, -266534?\n\"Answer: 5*c**3 + c**2 + 2*c - 269174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1134300 to the nearest ten thousand.\nAnswer: 1130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -82, -147, -254, -403?\n\"Answer: -21*f**2 - 2*f - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-2\/7))**(-21))**(-1\/7))**(2\/29) assuming v is positive.\nAnswer: v**(54\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/292 and 79\/16.\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 57*k**2 - 56*k + 116. Determine n(-58).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -2*a + 420. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -4\/29 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -4*f - 4*p, 5*p + 6 = 2*f - 11. Let k = 69 + -63. Suppose -18 = -k*h + 2*h + 3*m, 2*h - 2 = 5*m. What is the remainder when f is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*t - 5*i, 3*t + 3 = -5*i + 8. Let z(b) = -5*b - 4. Let p be z(-2). Let u be p*2*t\/15. Solve 0 = -5*v - 5*y + 35, 2*v + y - u*y = -6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45227180 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/12 and 67\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7287 a multiple of 347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(12)\/(sqrt(6)\/sqrt(2))).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 2*z + 3*z)*((-z + 4*z - 2*z)*(-z**2 + 3 - 3) + 1899*z + 348*z**3 - 1899*z)*(-3*z + 0*z + z).\nAnswer: -694*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3928553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 8:50 PM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12554 by 4.\nAnswer: 6277\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 15 = z - 2*z, -29 = 2*c + 5*z for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 219 + -105. Suppose 5*o + x - u = 0, -3*o - o - x + 92 = 0. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 2*o + 3. Let k be i(2). Let x(d) = d**k + 8*d**2 + 4 - 3 + 1 - 3*d. Let t be x(-7). What is the highest common divisor of t and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(11\/(-4)))\/2*515\/(-515).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63 + 74. Calculate the remainder when 65 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-2) - 25\/1. Let t be ((-6)\/10)\/((-36)\/r). Suppose 2 = -g + 3. Which is the biggest value? (a) g (b) -5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x + 7. Let s(n) = -3*n - 8. Suppose 0 = 5*u, -5*u + 0 = m - 2 + 7. Determine m*s(l) - 6*t(l).\nAnswer: -9*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 7*x**2 - 8*x. Let z = 8 + -16. Let g be a(z). Suppose 50 = 5*u - g*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3 + 5)*((-1 + 1 - l)*(0*l + 3*l - 5*l) + 62 - 62 - l**2) to the form p + o*l + j*l**2 and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 468771 or 468770?\nAnswer: 468770","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/24 and 75\/8096?\nAnswer: 24288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/3436 and -143\/12?\nAnswer: 10308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 3. Let f(t) = -7*t + 2. Let q be f(-2). Suppose 5*p + 5*j - 15 = 0, 0*j - q = -4*j. Sort p, g, -4 in decreasing order.\nAnswer: g, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239772 is divided by 23635.\nAnswer: 3422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 386557*w**2. Let j(q) = -11*q. Calculate j(v(t)).\nAnswer: -4252127*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b*b**(2\/7))**(17\/5)*((b\/b**(3\/4))\/b*b)\/((b\/b**(-4\/5))\/b) assuming b is positive.\nAnswer: b**(1487\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(-144)*(55\/(-60))\/11*4.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*c**2 - 19*c**2 - 21*c**2 + (0 - 2*c + 0)*(-4*c + c + c) in the form g + n*c**2 + v*c and give n.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 863\/1726 + (126\/2 + -2)\/2. Solve s = -57*l + 259 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -19*q + 52. Let y be i(3). Which is the nearest to 0? (a) y (b) -2 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -5*j + 35, -1 = -2*d - 2*j + 19. Let t be (126\/35)\/(-9)*-10. Solve 5*q - 4*x - x + d = 0, -q + 2 = -t*x for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*p + 258 = 258 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - i**2 + 2*i + 15. Give k(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 1 + 11. Let x = 1 - t. Solve -4*v = -2*v + x for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 331356290 by -5.\nAnswer: -66271258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8\/17, -7.31, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/16 or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n**2 + 4*n - 5. What is u(5)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-900)\/18*(-374)\/425.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.856 - 0.327. Let q = -0.051 - j. Let g = q - -0.7. Round g to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-11191)\/(-2) + 2 - 29\/58. Suppose -5*u + 3779 = 3*t, -1803 = 3*t + 2*u - l. List the prime factors of t.\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2485 - -22895005?\nAnswer: 22892520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v - 2*v - 3*x - 33, v = x + 3 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-1 - 3) - 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -578, -0.2, -15?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*1\/(-2))\/(9389\/84501)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.2 - 2.4. Let w = -0.1 - q. Let z(v) = v - 4. Let p be z(3). What is the smallest value in p, 1\/6, w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 195*r + 3722. Let n(p) = p - 4. Let q be n(5). Let i(s) = 100*s - 1. Calculate the remainder when i(q) is divided by k(-19).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = d + 2*u, -4*d + 2*u + 6 = -3*d. Let z(x) = 20*x**2 - 38*x + 3. Let g(y) = 7*y**2 - 13*y + 1. What is d*z(h) - 17*g(h)?\nAnswer: h**2 - 7*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1535.8 - 0.4?\nAnswer: -1536.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003481 rounded to 5 decimal places?\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 8:24 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x**8\/x)\/x))\/(x\/(x**1\/x*x)))**(-43) assuming x is positive.\nAnswer: x**215","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 123225 and 43725?\nAnswer: 1355475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-21)\/(-27) + 2\/9. Let t = -5882 - -5847. Is d at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/240)\/((-2)\/6).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.1, -16.6, 1 in increasing order.\nAnswer: -16.6, -0.1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1173528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 13. Suppose -45 = h*d + 55. Calculate the common denominator of 53\/4 and (d\/8)\/5 - -11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -7\/71 and 0.01 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 7:36 AM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*l**2 - 755132*l + 15613062 wrt l?\nAnswer: -6*l - 755132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/((s*s*s**(3\/8))\/s*s*s)*s*s**(-2)*s*s**5*s*s**14 assuming s is positive.\nAnswer: s**(141\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -648*b**2 + 422. Let v(z) = 1292*z**2 - 846. Let g(s) = 4*v(s) + 7*y(s). What is the derivative of g(h) wrt h?\nAnswer: 1264*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 121047000 to the nearest 1000000.\nAnswer: 121000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10220320100 + -2112?\nAnswer: 10220311322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-78)\/(-15) - (176\/(-20))\/11. Suppose -3*y + b = -19, -5 = -5*y + b - 6*b. Let m(r) = 77 - y*r + v*r - 77. Let d(a) = 15*a - 3. Give m(d(p)).\nAnswer: 15*p - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 730 and 502620330?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x + 5. Let l be (0 - 0)\/((-14)\/(-7)). What is the units digit of v(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - o - o)*(-2 + 9 - 2) + 3*o + 3*o - 3*o.\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one fifth of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/5 of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0.7 (b) -4\/5 (c) -276\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4*b**2 + 149*b - 34. Calculate c(37).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -7 + (0 - -2) - -8\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000011131 rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2097482 * 0.02\nAnswer: -41949.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11200 (base 3) to base 10.\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6316, -6318, -6320?\n\"Answer: -2*b - 6314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 475 is divided by 122?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 - -0.2. Let p = 16.998176 - -0.001824. What is the nearest to 0.3 in -0.2, p, -0.1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 5, 5.1 in increasing order.\nAnswer: -5, -1, 5, 5.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 15*y - 4. Let f be h(-4). Suppose 5*n - 78 = 2*n. Suppose f = -22*t + n*t. Solve 3*d + t*d = 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4442, 4124, 3590, 2840?\n\"Answer: -108*v**2 + 6*v + 4544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 6*x**2 - 4*x + 5. Let f(j) be the third derivative of j**4\/24 + j**3\/2 - j**2. Let h be f(-8). Determine s(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -41\nAnswer: 20.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 402*y - 225*y - 178*y - 10*y**2.\nAnswer: -10*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/5*u**3 + 0*u - 54\/5*u**2 + 0.\nAnswer: 6*u**2*(u - 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7356081*y**2 + 619*y - 619*y + 7356071*y**2.\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 758512313?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in 4, 4\/9, 72.7?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -36 and 0.2?\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 159*o + 2662. Let j be i(-19). Solve 0 + j = -y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, 2, 1, 14, -1.\nAnswer: -1, 1, 2, 14, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 19 + 4. Let w(a) = 0*a**2 + 18*a**2 + a**3 + 4 - 3*a - 22*a**2. Calculate w(v).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2974 + 2*g**2 + 1489 - 19*g + 1477. Calculate o(11).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -11*l**3 + l**2. Let f be w(1). Let x = -17 - f. Let d = 12 + x. Sort d, -0.1, -1.\nAnswer: -1, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 3*p**2 + 4*p + 6. Let r be -3*12\/(-9)*-1. Is 6 a factor of l(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6163418 or 6163412?\nAnswer: 6163412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-22))\/((-6255)\/4587)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1678 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + (1 - 1) - (-2476 - -2480).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 2*a + 8. Let t = 79 + -75. List the prime factors of k(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.5 - 0.7. Let c(w) = -1 - w + 0 - 2*w**3 + w**3. Let h be c(-1). What is the nearest to h in v, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3793 - -61?\nAnswer: -3732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 25*a + 12. Let r be (-3)\/(-6) - (-180)\/24. List the prime factors of n(r).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -3*b**2\/2 + 17*b + 19. Let w be h(4). Suppose w*q + 15 = 5*i, i - q + 5 = 4*q. What is the remainder when i is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13504*y**2 - 41*y - 6870057 wrt y.\nAnswer: 27008*y - 41","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 149.2 - 149. What is the nearest to 3 in 0, b, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1723156964 to the nearest 1000000.\nAnswer: -1723000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -639 + 978646*j**2 - 978647*j**2 - 458 in the form z*j + m + y*j**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*f = -4, -f = 2*w + 2*f - 25. Let o = 11 - w. Differentiate -2*p**o + 2*p - 2*p - 2 - 1 wrt p.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17303, 16495, 15161, 13307, 10939, 8063, 4685?\nAnswer: 811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47641 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.38853986 and -17065?\nAnswer: 17065.38853986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-18))\/(26\/(-141)) - (-1143 - -1139)\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 12 - 4. Suppose -11 + 71 = r. Suppose g + f*g = r. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b*b**(-3))\/b)*b)**(1\/5)*(b**(3\/8))**(-2\/11) assuming b is positive.\nAnswer: b**(41\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 19*g**3 + 5*g**2 - 3*g + 18. Is w(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b**5\/3 + 248*b**4\/3 + 5080*b**3\/3 + 39200*b**2\/3 + 122500*b\/3 + 125000\/3 = 0. Calculate b.\nAnswer: -25, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(304) + 4)**2 - 2*(sqrt(19) + sqrt(76)\/sqrt(4))).\nAnswer: -1600 - 140*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31 - (-120736)\/(-3894))*3?\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of 0*s**3 + 0*s**4 + 0*s + 1\/20*s**5 + 0 - 6*s**2 + 7\/120*s**6. Find the third derivative of p(h) wrt h.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28894.\nAnswer: 2, 14447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 502 divided by 6495\nAnswer: 502\/6495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**6)**12 assuming r is positive.\nAnswer: r**84","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6012933.3 milliseconds to hours.\nAnswer: 1.67025925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -234 (base 7) to base 15\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 519825 to the power of 1\/2, to the nearest integer?\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**4\/9 - 164*l**3\/9 - 1270*l**2\/3 - 18088*l\/9 - 14440\/9 = 0.\nAnswer: -38, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3*c = 809991, -2*c + 7*c = 15. Round v to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22110 (base 6) in base 11?\nAnswer: 2338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of t**5\/120 + t**4\/12 + 7*t**3\/3 - 1. Let b(h) be the third derivative of i(h). Let z be b(2). Solve 0*f - f = -z for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 6*z + 4. What is j(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -13566 and 686?\nAnswer: 14252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-164)\/88 + 24\/66?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) + -1)*-1 + -1*(-1 + sqrt(475)))**2.\nAnswer: -40*sqrt(19) + 1904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 107143?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w**3 - 7*w**2 + 6*w + 4. Let z be j(2). Calculate the highest common factor of 384 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 145 + -118. Let s be 6\/(-27) + 1\/(j\/(-615)). Round s to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1175.244147 to the nearest ten.\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 73352 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -1\/4, 8.\nAnswer: -1\/4, 3\/7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -1\/2, -1226, 0.3, -8\/3?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3022001120 (base 4) in base 6?\nAnswer: -25422532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 39631*o - 317027. Determine n(8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*(c*c*c*c*(c*c**26*c)\/c*c)\/c*c)\/c)\/c*c**(-1\/35))\/(c\/(c\/((c*c**(-36))\/c)))**(1\/18) assuming c is positive.\nAnswer: c**(1154\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -69*c + 5 + 119*c - 2 + 73*c as v + q*c and give q.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5 = 2*m - 15, 2*m = 4. Suppose -g*n - 6 = -54. Suppose -2*q = q - n. What is the highest common factor of 24 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 27946, 111789, 251534, 447181, 698730?\n\"Answer: 27951*k**2 - 10*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 1 - 1 + (35 - 44 + 72)*(-5*t + 5*t - 2*t))*(2 - 2 + 2*t).\nAnswer: -256*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9\/2 (b) -11 (c) -14 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.01 - 48.01. Let k = -41 - u. Let n be 350\/200*(-1)\/(-14). Which is the third smallest value? (a) n (b) k (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 4*z + 24. Suppose 0 = -4*y - k + 5, 4*y - 5 = k + z. Let u be ((-4)\/(-70))\/(y\/20*-8). Which is smaller: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z*z**10*z)*z**(-7))**(1\/37)\/((z\/((z**(2\/21)*z)\/z))\/((z*(((((z**(-10)*z)\/z)\/z)\/z)\/z*z)\/z)\/z))**(-46) assuming z is positive.\nAnswer: z**(496585\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -27659 * 0.4\nAnswer: -11063.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1009696 to the nearest integer?\nAnswer: 1005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(4\/(-7)*42\/(-204)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -932.58 + -8.42. Let v = h + 942. What is the nearest to 0.1 in v, -4, 58?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1322 = -276*d - 3496 - 1530 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.3918 rounded to 0 decimal places?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 3*n + 582. Let k be 3*(-7)\/(-35) - 3\/5. List the prime factors of v(k).\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n - 1328 + 88 = 0. Is n greater than or equal to -61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**2 - 11*w**2 + 0*w**2 - 6*w**2 + 2*w**2 + 40.\nAnswer: -18*w**2 + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 30?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -16541283 at least -16541283?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 33 = 47. What is the highest common factor of n and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**(1\/13)*u)\/(u*u\/u**(1\/10)))\/(u**1)**(2\/153) assuming u is positive.\nAnswer: u**(23149\/19890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2528 and 23288?\nAnswer: 7359008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 19811, 19813, 19815, 19817?\n\"Answer: 2*k + 19809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205022.\nAnswer: 2, 23, 4457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 18*v**2 + 18*v - 10. Let r be d(-19). Suppose r*q = -2*q + 561. Let a = 454 + -451. What is the greatest common divisor of q and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1615\/(-8840) + ((-48)\/(-26))\/6?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 14*u**2 + 3*u - 4. Calculate r(14).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -140366*b*n + 329445*n - 2 wrt b.\nAnswer: -140366*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, -23, -2\/17, 11?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3280 + -3278. Solve 4*a = b*t - 4, -t + 0*a + a = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7306100 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d + 7*d**2 + 3*d + d**2 to the form a*d + g*d**2 + p and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1717726931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 2\/5, 6, -1\/2, 5399, -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -633 - -634. Which is bigger: x or -4\/69?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88901?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -4\/499?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 312 by 12.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*r - 4*q - 28, q = 4*r - 37. What is the remainder when 24 is divided by (-189)\/(-18)*5\/(30\/r)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 674?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*8\/((-240)\/(-110)). Let x be ((-258)\/(-12))\/((-1)\/8). Let d = i - x. What are the prime factors of d?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 50294*m**2 + 4*m - 6. What is the ten thousands digit of q(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -9 + 5 - 422\/(-106). Let y = q - -55\/106. Find a such that 1\/2*a**3 - y*a - 1\/2*a**2 + 1\/2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7918, -15875, -23866, -31891, -39950, -48043?\n\"Answer: -17*x**2 - 7906*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 158 + -167. Let s be 2\/(-9)*(27\/6)\/x. Which is the biggest value? (a) -1\/2 (b) s (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 equal to -426?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2\/21, -1587, -7\/2, 2, -0.09, 0.2?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*b - 32*b = -268. Is 9 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 790*y + 271 - 97 - 5646 = 886*y for y.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*j**3 - 16*j**3 + 68*j**2 - 132*j**2 + 64*j**2.\nAnswer: -9*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 5*p - 34, 8 = -2*o + o - p. Let h = o - -17. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30\/53 + -2744\/5035. Let q be (-115)\/(-133) + 6\/(-21). Let z = v + q. Is 2 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from ffydyyddbdfyb?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4029?\nAnswer: 3, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/315*(-73 + 103).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t - t - 2*t + 6374 - t**3 - 5349 to r + b*t**3 + c*t + y*t**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -162*p**2 + 303*p + 312737 wrt p?\nAnswer: -324*p + 303","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -4. Suppose -5*b + 2*u - p*u - 4 = 0, -3*b = 2*u + 1. List the prime factors of 2 + -1 - 6\/b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 37 + 50 = 2*b, 4*a + 21 = 5*b for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5354.\nAnswer: 2, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*z - 5 = 0. Let r = -3 + 33. Suppose -z*y = -2*y - r. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**2 + g**2 + g**2 + (g + 4 - 4)*(0 + 3*g + 3 + 1).\nAnswer: 4*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40641 and 43046685.\nAnswer: 1311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hkk when three letters picked without replacement from wkfkkqqhww.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -18.6, -2\/9, -4516, 2?\nAnswer: -18.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 254 divide 3324860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -23103?\nAnswer: -23101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2. Let k = 11 - 2. Let u = -7 + k. Let g(y) = -u*y**2 - 4*y + 4*y. Give g(s(t)).\nAnswer: -2*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -190 and 0.2.\nAnswer: -189.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4*a = -774992, 0 = 2*f + f - a - 464998. What is f rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1262 and 5137.\nAnswer: 6399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13545 and 3139.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*t - 2*t + 7*t)*(6*t + 0*t - 3*t)*(-18*t + 18*t + 6*t**2) as u*t + v + x*t**4 + c*t**3 + j*t**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3960 divided by 9\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 4, -0.1, 1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*u = 45*u - 1. Put -4, -87, u in decreasing order.\nAnswer: u, -4, -87","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1864768 and 68?\nAnswer: 31701056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 81907 - 81911.8583. Let w = x + 18.26148. Let c = 13.4 - w. What is c rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*n - 77 - 114 + 266)*(-4*n + 3*n - 5*n) to s*n**2 + w + d*n and give s.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 5*y**2 + 6*y - 2. Let w be z(3). Let t be 881 + 1\/(-6) + w\/(-12). Is -2 - 1 - (4 - t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*v**2 + 37*v**2 - 57*v**2.\nAnswer: -41*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 72654377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - 0 - (59 + 0 + -23).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 95\/42 - 2\/21. Let a = 29991 - 1799387\/60. What is the common denominator of a and o?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 4 (b) -7.7 (c) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.5202915 years?\nAnswer: 0.0005202915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - (sqrt(119) + 5*sqrt(119)*-2 + sqrt(119))) + -4*-2*sqrt(119))\/((sqrt(21) + sqrt(21)*4)\/sqrt(3)*-5).\nAnswer: -17*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 + 39. Calculate the remainder when 7\/u - (1 - 91\/2) is divided by 756\/44 + (-4)\/22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 3*q**2 - 4*q + 6. Let z be (7 - 4)*(-10)\/(-6). Let p be n(z). What is the highest common factor of p and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3512, -7018, -10512, -13988, -17440, -20862, -24248?\nAnswer: -27592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-9)*(-10)\/125*1.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaugcuvcvan. Give prob of sequence an.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22548965*z**3 + 5*z**2 - 454*z + 113 wrt z.\nAnswer: -135293790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-6)*-2*-2 + 29. Is (-835)\/(-7) + z\/(-21) + 1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**6*i**2*i*(i**(-1\/5)*i)\/i**(-2\/3) assuming i is positive.\nAnswer: i**(-8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**3 + 360*z**2 + 6981*z + 4587. What is v(-158)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/27677971 or -0.34?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1)**(-41)\/((h**(-3)\/h)\/h)**(1\/30) assuming h is positive.\nAnswer: h**(-245\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -4, 7, -3 in increasing order.\nAnswer: -4, -3, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 196 + 19*u - u**3 + 168 - 373 - u**4 as a*u**2 + l*u + d*u**4 + k*u**3 + r and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 827 - 864 = 2*c, 24 = -c - 2*u for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 0 + 18*u + 0*u**2 + 1\/18*u**4 + 0*u**3. Factor w(r).\nAnswer: 2*r**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + 304. Let l be 2\/10 - u\/(-15). Suppose -z + 0*j - 4*j + l = 0, -3*j - 8 = -4*z. Calculate the remainder when z is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -7*p**2\/2 + 47*p - 55. Let h be x(6). Solve -h*f - 5 = -4*f, 3*i - 3*f - 18 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h + 6. Let c(b) be the first derivative of b**2\/2 - 7*b + 1. Give -6*c(y) - 7*g(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 634664.6 litres to millilitres.\nAnswer: 634664600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixty-five thirds of a hour?\nAnswer: 1300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310542 = 5762*m - 46702 for m.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of d**4\/12 - d**3\/6 + 9199*d**2. Let k(s) = -4*s - 1 + s + 2. Calculate -5*b(v) - 3*k(v).\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 4*t - 6, 4*m + 2*t = 6 + 2. Solve -1 = -q + m*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2585 + 4903. What are the prime factors of s?\nAnswer: 2, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.4 + -11.3. Let f = -0.1 + l. Which is greater: f or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) + sqrt(102) + 1*sqrt(102)*3 + sqrt(102))*4*4)\/(3*(sqrt(6) + (sqrt(96) - (sqrt(96) - (sqrt(96) - -1*sqrt(96) - sqrt(96)))))*-6).\nAnswer: -16*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1785 or -1790?\nAnswer: -1785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -63 - -74. Suppose 6*c - x*c = -30. Is c*((-2)\/4)\/(1\/(-67)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x - 13. Let a be k(9). Solve -a*u = -3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10344689 is divided by 544.\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l + 24. Let u be s(8). Solve -2*v - v = u for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/((-6)\/2))\/((-1)\/(-4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {w: 4, i: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -1296, -4, 114, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*g**3 - 507*g**2 + 1611*g - 1113.\nAnswer: 3*(g - 53)*(g - 1)*(3*g - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -132?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - 5*z + z - 20, 0 = -3*s + 247*z - 248*z + 10 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 5 = -7 + 5, -p - 5*j + 22 = 17 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 1275*r - 97 = -i + 7*i - 1281*r, -2*i - 5*r + 50 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-202)\/24 + -27 + 18618\/522?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/31064 and 79\/16?\nAnswer: 62128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/20 and -29\/3?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**2 + 91423*a**5 + a**3 - 2*a**4 + 2*a**4 - 92335*a**5 + 559 wrt a?\nAnswer: -54720*a**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c**2 - 3*c**2 - c**2)*(-1 + 2 - 2) + (5*c - 3*c - c)*(137*c + 20*c - 266*c).\nAnswer: -110*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3176 + 1.\nAnswer: -3175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -49914\nAnswer: 99828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2569*p + 495605. Give w(193).\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -c + 4, c - f = 2*c - 2. Suppose 4*u = -u - a + 25, c = 2*u - 3*a + 7. Suppose -u*r + 28 = -2*r. Calculate the least common multiple of r and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*((-2*sqrt(77) + sqrt(77))*1 - sqrt(77) - sqrt(77))*-6)\/(5*sqrt(275)*1*-4))**2*2.\nAnswer: 10206\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 8*a - 6*a. Calculate the lowest common multiple of a and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 162*q**2 - q - 4. Suppose -22 - 10 = -4*p - 5*z, -4*p - 4*z = -28. Is j(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -3*m + 8 + 1, s + 1 = -3*m. Suppose -s*u = -3*u. Let j(v) = v**2 + v + 10. Let o be j(u). Solve a - o = 6*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/60 and -123\/14960.\nAnswer: 44880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 883022718 and 2226.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1032 + -30120?\nAnswer: -31202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 142, 310, 528, 796?\nAnswer: 1114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/4)*q**(-4\/7) assuming q is positive.\nAnswer: q**(-9\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u + 1. Let m(n) = 4*n + 12. Calculate 2*d(h) - m(h).\nAnswer: -2*h - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 5*t - 52, -60*m + 63*m - 15 = -3*t for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - 2) + 18 + 34 + -11?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 5*o - 36. Suppose 0 = -o*j + 3*j - 39. Calculate the lowest common multiple of ((-2)\/(-6))\/(j\/(-156)) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2 - (-4 - 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - -26. Suppose d = 4*w - 53. Does 10 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/4))**(-46)\/((p**3*p)\/(p*p*p\/(p*p\/p**(-2\/9))*p)) assuming p is positive.\nAnswer: p**(-247\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 27 (b) 1 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.5 - 2. Let f = 156017 - 156012. Which is the fourth smallest value? (a) -0.2 (b) f (c) k (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 224 and 51766816.\nAnswer: 362367712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -11*f - 7. Let i(w) = -34*w - 20. Determine -6*i(b) + 17*u(b).\nAnswer: 17*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -3*i + 1411 - 5194, -i + 4 = 0. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 180 and 22.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e404b - -7?\nAnswer: e4053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 542.\nAnswer: 54.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (4 + -3)) + -2 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22992372 and 234?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 61 - 11 = 5*g, -2*g - 3*s + 15 = 0. Let o(p) = p**3 - 6*p**2 + 3*p + 11. Let r be o(g). Let b = r - 3093\/11. Which is greater: 0.1 or b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10499708.\nAnswer: 2, 2624927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0\/m)**(-19)\/(m\/(m**(-2)*m))**(3\/5) assuming m is positive.\nAnswer: m**(89\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkdkddkqdd. Give prob of sequence kdk.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 998301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 0.3, -4, -0.5 in ascending order.\nAnswer: -4, -0.5, -0.04, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 117740?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -312 (base 14) to base 5.\nAnswer: -4404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.35 - 0.05. Let n = k + 11. Round n to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*t**2 - 2*t**2 + 17*t**2 - 5*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.815 - 0.344. Let q = 0.551 - r. Which is the fourth smallest value? (a) 1\/12 (b) q (c) 3 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than 1565073298195?\nAnswer: 1565073298195.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2 - 6*f - 3 + 2*f. Let v be (-14)\/77 + (-40)\/22. Let q(h) = -3*h - 1. Let i be q(v). Let j(p) = 9*p + 2. Give i*y(m) + 2*j(m).\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -33*z**5\/20 - z**4 - 2*z. Find the third derivative of n(r) wrt r.\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/140 + 36\/7. Let s(a) be the third derivative of -2\/5*a**4 + 0 + 49\/300*a**6 + 6*a**2 + 0*a + 7\/50*a**l + 4\/15*a**3. Find t such that s(t) = 0.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 1210002211221?\nAnswer: -1210002211202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60222014 to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (-7)\/(21\/(-18)). Let d(m) = -9*m + a + 3*m + 5*m. Let v(g) = g**2 + 3*g - 13. Let f be v(3). Calculate d(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 13*a**2 + 17*a + 6. Let o be l(-11). Let j = -181\/3 + o. Let f = 9 - 8. What is the second biggest value in -1\/8, j, f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**3 + 2*f**3 - f**3)*(-2 - 3*f**2 + 2*f**2 + 8*f**2 + (2 + 0 - 1)*(-3*f**2 + 2*f**2 - f**2) + 2*f - 2*f + f**2).\nAnswer: 6*f**5 - 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/10 + (-21)\/15. Let i = a - -5. Solve 5*p + i*v = -16, 3*p - 2*p + 4*v = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11223623 (base 7) to base 13\nAnswer: 284657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-2)\/((b\/(b**(1\/10)\/b))\/b))\/((b\/(b\/((b*b*b**0)\/b)))\/b**(4\/5)))**(-40))**48 assuming b is positive.\nAnswer: b**5952","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167071*g + 50 = -167121*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(4\/15)\/c**(-22)*(c*c*c**(-8\/9))**(-2\/15) assuming c is positive.\nAnswer: c**(2986\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(242) - -4*((sqrt(2)*-2)**2 - sqrt(2))) + -2.\nAnswer: 7*sqrt(2) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 60*r**3 + r. Let v be y(1). Let a be v\/4 + (-1)\/4. Suppose -5*p = 5*t + 4 + 11, 2*p = 5*t + a. Solve -n = -p*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-4)*230\/(-207).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43568?\nAnswer: 2, 7, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76) + (sqrt(76)*2)**2 + -2.\nAnswer: 2*sqrt(19) + 302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -3, 2, -56372, 5?\nAnswer: -56372","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 0)*(-1 + 2). Let h = 8 - x. Let w be 2\/h + (-2)\/7. Solve -12 = 4*v - w for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -109*a**2. Let t(b) = -17*b - 4. Let q(f) = 59*f + 14. Let r(d) = -2*q(d) - 7*t(d). Calculate s(r(n)).\nAnswer: -109*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 320899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12448417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -5d51e?\nAnswer: -5d51f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(-1)\/(-3)*1. Let w(y) = 10 + 2 - 12*y + 0 - y**2. Let n be w(-13). Which is greater: n or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17917 = -161*z - 782*z for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1052*4\/140 - 71\/((-168980)\/(-136))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 217, -4, 5, -0.034, 2, -16, -7?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 94*o + 35. What is the least common multiple of q(0) and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (26 - 11) + (25 - 22)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9521802 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11112 (base 8) to base 10.\nAnswer: 4682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*((r*r**(-6)\/r)\/r)\/r)*r**(-4)\/r)\/((r*r**(-4)\/r)\/r)**(-23) assuming r is positive.\nAnswer: r**(-112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.0179328343486083 + 3\nAnswer: 3.0179328343486083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -13 + 1. Solve 0 = 4*n + 5*j + 7, -n + w + 5 = -3*j for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7315044.66 rounded to the nearest ten thousand?\nAnswer: -7320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 1 - 11 - 3*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63830 is divided by 31623.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -0*n + 18. Let t be 148\/28 - 2\/7. Suppose -1 + 10 = 3*s. Solve k + 26 = -s*p - 4*k, -k + n = -t*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5*k = 1460025, 4*k + 267416 = q - 24604. Suppose -4*v = -8*v + q. Round v to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*q*x + 13537303*q + 3959492*x wrt q?\nAnswer: -3*x + 13537303","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -1 + (17 - -4 - 3)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/4 + 126\/3. Suppose -o = -3*g - 10. Let h be 0 + g\/(-3) + 1. Is -1 less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -771, -575, -377, -177, 25, 229, 435?\nAnswer: 643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 319024\/287595 + -61\/55. Is -1 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a micrometer in nanometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - 3*g + 30. Differentiate 2 - g*a - 3 - 5 + 0 with respect to a.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31535 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i + 12. Let p be f(-8). Calculate the highest common factor of p and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -17 + (1 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 13*q - 8. Let u(v) be the second derivative of -v**4\/12 + 4*v**3\/3 - 4*v**2 - 7*v. Let d be u(6). What are the prime factors of g(d)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9224013 is divided by 2305992?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**2 + s**2 - 2*s**5 + (0*s**4 - 2*s**5 + 0*s**4)*(-1 + 3 - 1) - 43630*s + 43650*s + 86*s**4 - 92*s**4 - 5*s**5.\nAnswer: -9*s**5 - 6*s**4 + 20*s","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4\/9)\/n*(n*n*(n*n\/(n**(-5\/3)\/n))\/n)\/n)\/(n\/n**(-2\/5)*n)**(4\/15) assuming n is positive.\nAnswer: n**(581\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 - -47. Is 3\/2 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b. Let p(a) = -2812*a**2 + a + 2. What is p(w(j))?\nAnswer: -2812*j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r + 0 = -22 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-149)\/298)\/((1\/(-19))\/(1606 + 0)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 44*q**3 - 6*q**2 + 54*q - 64. List the prime factors of z(9).\nAnswer: 2, 53, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.031 rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56)*-2*-2)\/sqrt(8))**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42785, -35254, -14813, 24994, 90623?\nAnswer: 188530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -103, -205, -307?\n\"Answer: -102*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 12:58 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 58*u - 696. Let i be b(12). Let v(q) = q + 70. Calculate v(i).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/3500 and -81\/20000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 23*k - 15*k. Suppose 0 = 5*o + k*z + 1328479 + 1371536, 3*o + 1619985 = 3*z. Round o to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 29 and -984?\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s**3 - 4*s**2 + s - 36. Let z(d) = -8*d**3 + 13*d**2 - 4*d + 108. Let w(h) = 11*f(h) + 4*z(h). Let q be w(-9). Solve -2*k + k - 2 = q for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.330165649 to three dps.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 4*d + t - 4, 6 = 4*d + t. Let q(r) = r**2 - r. Let w be q(0). Which is smaller: w or d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7175 + 11020. Calculate the greatest common factor of 15 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -5*f**2 - 173*f + 2291. Calculate n(-45).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*x + 11, 0 = -4*x - f - f + 4. Let s = -41.024 - -0.024. Sort 3, 2, x, s.\nAnswer: s, x, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 10*x - 5*x. Suppose -23 + x = -6*o. Factor 3*y**2 - 3\/2*y**o + 0 - 3\/2*y.\nAnswer: -3*y*(y - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 119*b*t**3*v**2 + b*t**3*v + 5*b*t**3 - 2*b*v**2 - 27*t**2*v**2 + 3*t**2*v wrt t?\nAnswer: 714*b*v**2 + 6*b*v + 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w**2 - 16*w + 19. Let u be v(8). Solve 24*g - 37 - u = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (471\/(-471) + (-11)\/(-3))*-2\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7567322 and 14697?\nAnswer: 68105898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + -0.1. Let k be (-2 - (0 - 3)) + 0. What is the nearest to k in 1, u, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 9:33 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -148761, -297435, -446109, -594777, -743433, -892071?\nAnswer: -1040685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of o**2*u + 2*o**2 + 46926*o*u + o + 46*u - 5727 wrt o.\nAnswer: 2*o*u + 4*o + 46926*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1248 and 221052.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in meters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -51 + 19. Suppose 150 + 73 = 5*s - 2*o, -4*s - 3*o + 183 = 0. Let z = s + j. What are the prime factors of z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (0 - 0) + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of g**7\/120 + 3*g**6\/160 + g**5\/120 + 21*g**2. Suppose l(k) = 0. What is k?\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75, 144, 213, 282, 351?\nAnswer: 420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12232091 to the power of 1\/2, to the nearest integer?\nAnswer: 3497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27018)\/7011 + 2 + 2)*((-4)\/(-2))\/4.\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = k - 26, -2*k - 230*c + 27 = 230*c + 235*c - 920*c + 226*c for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-3*(3 + sqrt(612) - sqrt(612))*4 + -2) + 3)**2.\nAnswer: 1681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*y - 2*y = 233, -4*y - 20 = 0. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*a**4 + a**3*w**3 + 2*a**3 - 6*a**2*w**2 - 2*a*w + 7*w**3 wrt a?\nAnswer: -120*a + 6*w**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 12:03 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 0.3. Let f = 4.9682 - -0.0318. Let w = 419\/963 - -1\/107. Sort f, n, w in decreasing order.\nAnswer: f, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**2 - 25*d - 3. Let k(n) = -n + 34. Let r be k(22). Calculate u(r).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**4 + 0*m**4 + 5*m**4 + m**4 + m**4 + 0*m**4 + (2*m**2 - 2*m**3 - 2*m**2)*(4*m - 4*m - 2*m).\nAnswer: 11*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62, 20, -94, -316, -682, -1228?\nAnswer: -1990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*h + 100*h - 700 = 0. What is the hundreds digit of (-8 + h\/(-15))*-69?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5832 and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((0 + -1*sqrt(76))**2 - ((-1 + sqrt(76))*3)**2).\nAnswer: -3702 + 216*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.146 - -0.046. Let a = 2 + d. Let c = 245\/4 + -61. What is the smallest value in 2\/5, a, c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4670 + 0*y - 4860 + 0*y - y**3 - y**2 + 9221 to the form v*y**3 + z*y**2 + r + s*y and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 9*y**2 + 3*y - 1. Let x be k(-6). Suppose 0 = 5*h - 390 - x. Suppose 2*j - v - 51 = 0, 4*v - 39 + h = 4*j. Does 26 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a - 5 = 9 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1359*k + 1360*k = -2, 4*l - 12*k = 44 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8496277.\nAnswer: 17, 499781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -459501 by -351.\nAnswer: 153167\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2499\/(-2555) - -1)*2175\/(-870).\nAnswer: -4\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 14, 24, 36, 50, 66?\n\"Answer: g**2 + 7*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*y = -6*y, -4*y - 2 = 2*s. Let i = s + 2. Sort i, -5, -3.\nAnswer: -5, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 4:43 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 11884 and 118829\/10 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 0, -128, -3, -4, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 divided by 4?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -18.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 294845375 divided by -25?\nAnswer: -11793815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-18)\/60 + (-48)\/(-60))*16246 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.329 (b) 537 (c) -5 (d) -3\/4 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 965260*y - 474810 = 969250*y for y.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4840 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of 4 + 0*k**4 + 0*k + 0*k**2 - 2\/45*k**5 + 2\/27*k**3. Factor p(v).\nAnswer: -2*v**2*(v - 1)*(v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74890 to the power of 1\/2, to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -337.9493 - 0.0507. Let j = t + 339. Sort j, -25, 3 in descending order.\nAnswer: 3, j, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -47707?\nAnswer: -47702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7682128 and 256.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59210116*j + 118420174*j - 59210057*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 333 (base 9) to base 6\nAnswer: 1133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 610 - 599. What is the fourth smallest value in 2\/9, p, 2, 0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - 2*t - t)*(-t**2 + t**2 + 3*t**4 + (-t + 4*t - t)*(-2*t**3 + 4*t**3 + 0*t**3)) + (37*t**2 - t**2 + 7*t**2)*(t - t + 2*t**3).\nAnswer: 93*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -3*u**5\/4 - u**4\/4 + 9*u**3\/4 + 9*u**2\/4 + u\/2 = 0?\nAnswer: -1, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 0*r + 4*r + 10, 2*r = 2*b - 14. Let n(i) = 3*i**b - 7*i**3 - 2*i - 1 - 5*i**2 - 28*i**3. Is 13 a factor of n(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + b2b?\nAnswer: b2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 139695220 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -982*j - 1339 = 357*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2803*t**3 - 453*t**3 + 8721*t**2 + 62*t - 8659*t**2 + 2042*t**3 + 826*t**3 wrt t?\nAnswer: 31308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(7\/5))\/(c*c**(-3))*c**(-4)*c**5\/c)**(-21\/4) assuming c is positive.\nAnswer: c**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 f when two letters picked without replacement from fsff.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (5 - (-5 + 10)) - (-3 + -17)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - (-4 - -10)) + -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121001301000 + -12?\nAnswer: 121001300322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 910323 is divided by 118?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 143, 501, 1111, 1973, 3087?\n\"Answer: 126*h**2 - 20*h + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 22965?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**5 - 166*t**2 + 4*t**5 + 129*t**2 + 0*t**5 + t**5 + 2*t**5 + (-t**5 + 2*t**5 - 2*t**5)*(2 - 1 + 1).\nAnswer: 3*t**5 - 37*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 7*r**3 - 2*r + 6. Let p(y) = -14*y**3 + 3*y - 13. Let z(v) = 7*i(v) + 3*p(v). What is the units digit of z(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 v, and 2 k when four letters picked without replacement from {y: 10, f: 2, v: 2, k: 3, t: 2, m: 1}.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(1\/7))**(2\/45))**10 assuming c is positive.\nAnswer: c**(32\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.9691 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000437 to 5 decimal places.\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - g**2 - 3)*(0*g - 2*g + g) + (-227 + 995*g + 25*g + 227)*(-3*g**2 + 0*g + 0*g).\nAnswer: -3059*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.35 - 1.37. Let m = 0.52 + i. Which is the second smallest value? (a) -1\/2 (b) -2 (c) m (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-71 + 32 + 34)*(4*x**2 + 55*x - 1 - 33*x - 24*x).\nAnswer: -20*x**2 + 10*x + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -15*k + 17. Suppose 0 = -3*o - 2*o - 5*v + 105, k*o + 5*v - 42 = 0. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m - 6*m + 3*y + 23 = 0, -2*m + 4*y - 2 = 28 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 110793928*h**2*u**3 - h**2*u**2 - 2*h**2 - 6*h*u**2 - 22492*h*u - 13 wrt u.\nAnswer: 664763568*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15031 - -28831. Suppose n = -0*h - 2*h. What is h rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-3 + 4)) + 2 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -295407 - -5?\nAnswer: -295402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 40 = -4*m, m = -4*m - 5*y - 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01856 rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 - -153. Is o a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1385 + 1401.66. Let o = -16.659998699 + j. Round o to seven dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 7 = 2*v + 2*t, -v = 2*t + 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 785 = 4*g, -4*g = g + 3*w - 990. What is the remainder when g is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4893189?\nAnswer: 3, 7, 33287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 7 - 580. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q. Let l(s) = 21*s - 1. Determine -5*j(m) + l(m).\nAnswer: 16*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-71775)\/825 + 24 + 0)*(-16)\/28.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -3. Suppose 0 = -5*b - 5, -5*b + 3 = d*a - 16. What is the tens digit of ((-80)\/a)\/((-25)\/(-13) + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*n - 272 = -5*u, 3*u = -2*n + 162. Let p = 5832 + -5821. What is the remainder when u is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pzquuzqluqqlzzuqcqc. What is prob of sequence cuq?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/22 and 6\/14*(-217)\/(-10).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44280 and 218862?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fdd when three letters picked without replacement from {f: 8, d: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-860)\/(-5805))\/((-7)\/((-154)\/(-11))).\nAnswer: -8\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 415.522*-0.1.\nAnswer: -41.5522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 0*g + 1\/2*g**4 - 94*g**2 - 125\/3*g**3 - 163. Find the second derivative of h(n) wrt n.\nAnswer: 12*n - 250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by -401718?\nAnswer: -11\/200859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.5 - 2. Let g = -0.5 + 0.2. Put u, -4, g in decreasing order.\nAnswer: u, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-20) - -2 - (18*(-7562)\/1140 + 2)\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**15*y*y**28)\/((y*(y*y**11)\/y*y)\/y*y*y\/(y*y**(1\/42))) assuming y is positive.\nAnswer: y**(1303\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -162 or -112?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 v, and 1 i when three letters picked without replacement from {i: 5, j: 1, b: 2, o: 6, v: 2}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 221 and 1577823.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*g**2*x**4 - 2*g**2*x**3 - 4*g**2 + 7*x - 2 wrt x.\nAnswer: 120*g**2*x**2 - 12*g**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-11 + -10 + 15 + 17)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**2\/7 - 1314812*m + 101240766\/7 = 0.\nAnswer: -4601853, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 10 = 0, 5*u - 336 = -3*h + 5*h. Let y = u + -32. Let j = 105 - y. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -20*u**5 - 1028*u**4 - 11748*u**3 + 39204*u**2 + 17496*u = 0?\nAnswer: -27, -2\/5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/1*(-1 - -2). Suppose -2*b - b - 27 = k. Let c(x) = 1. Let n(j) be the first derivative of j**3\/3 - 5*j + 4. Determine b*c(z) - 2*n(z).\nAnswer: -2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5713?\nAnswer: 29, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u. Let p(l) be the first derivative of 125*l**3 - 3*l + 764. Give p(q(m)).\nAnswer: 1500*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - 10*q - 157. Let s be r(19). Is 6 less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 6:33 PM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**3 + 63*f**2 + 13*f + 527. Determine k(32).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o + 1. Let g be f(1). Suppose -g*m - 16 = -m. Let t be (m\/(-10))\/((-39)\/15). Sort 0.2, 2\/9, t.\nAnswer: t, 0.2, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -7*z**3 - 6*z**2 + 6*z - 6. Let g = 57 + -51. Let u(m) = 20*m**3 + 17*m**2 - 17*m + 17. Determine g*u(t) + 17*f(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 774.09919055 + -774.1. What is c rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ammaalllzmm. What is prob of sequence zm?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s - 3*s + 10*s + 4*s**3.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39017?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 100 + -103. Which is greater: -2 or y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvv. What is prob of sequence vvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -b*p**2*s - 13*b*p*s*y + 21*b*s*y + 6*p**2 + p*s*y - s*y + 12*s wrt b.\nAnswer: -p**2*s - 13*p*s*y + 21*s*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 451 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, f: 3, n: 3, m: 5}. Give prob of sequence mff.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5837647 to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 15 - 2*f + 7*f**3 + 94 - 6*f**3. List the prime factors of m(0).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*c + 406813*c**2 - 3*c - 406649*c**2 - 1992 wrt c.\nAnswer: 328*c + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from ffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 22*s**3 + 11*s**2 - 7*s + 1. Let i be (((-36)\/(-14))\/(-3))\/(3\/21). Let r(y) = 46*y**3 + 24*y**2 - 15*y + 2. Let g(l) = i*r(l) + 13*f(l). Give g(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -19*w**3\/6 - 81*w**2\/2 + w + 8. What are the prime factors of a(-12)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, h: 2, l: 1, o: 2, n: 1, v: 1}. What is prob of picking 2 b and 1 v?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -4*n**2 + 3*n**2 - 8*n + 6*n + 1. Let t(v) = -v - 1. Let o be t(-6). Suppose -5*u = -3*b - o, -u - u + 11 = -3*b. Give a(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12103313 (base 4) in base 10?\nAnswer: 25847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/29, 0.5, 2\/13, -1\/2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11.3 and 3507492?\nAnswer: 3507503.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2 + p - 10. Let k(m) = -3*m**2 - m + 15. Let o(j) = -5*k(j) - 7*z(j). What are the prime factors of o(-5)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 638?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4751.2 * -0.0256\nAnswer: 121.63072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 1354661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -y - 2*m, -y = -2*y - 5*m + 21. Let f = -16 + y. Let u(z) = 2*z**3 - 31*z**2 - 16*z + 59. Calculate the remainder when u(16) is divided by f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 1633*j + 66952. Give h(-41).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 - 26. Let k = 4 + b. Find the third derivative of p**3 - 4*p**k - 6*p**4 - p**3 - 3*p**2 wrt p.\nAnswer: -144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 - -0.7. Let h = 1.5 + 0.5. Sort h, j, -4 in ascending order.\nAnswer: -4, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.093 in -23\/1338, -6, 1\/2?\nAnswer: -23\/1338","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 704169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5445) + sqrt(5445)*4*4 + sqrt(5445))\/(-2*sqrt(225)*-2).\nAnswer: 99*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*2*(-192)\/(-4). Is (i\/(-18))\/(2\/6) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4*b**2 - 24*b + 2. Let o be u(-6). Solve o*w + 5 = w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25713?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33\/5 of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -119*(-8)\/560*10\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -4*r**2\/5 - 828*r\/5 - 824\/5 = 0?\nAnswer: -206, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -242, -483, -738, -1013, -1314, -1647?\n\"Answer: -k**3 - k**2 - 231*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 3:36 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -d**7\/3360 - d**6\/240 - d**3\/6 - 27*d**2 + 18*d + 1. Let z(r) be the second derivative of h(r). Factor z(q).\nAnswer: -q**2*(q + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.78851 * 1.12.\nAnswer: -0.8831312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 13590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -497 - -502. Solve -3*y - 20 = l*r, -2*r + 7*r + 20 = 4*y for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*k - 27*k = -18. Suppose -k*g + 16*g = -80. Let y(s) = -s - 8. Let u be y(g). Solve p = -u*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -39149*p - 1487644. Give a(-38).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q - 1. Let m be s(-1). Suppose -j = -m*j + 18. Let o(v) = -v + 11. Does 2 divide o(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116, 344, 732, 1286, 2012, 2916, 4004?\nAnswer: 5282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, -0.05, 0.9, -3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5*p + 3*b = 1, -2*b = -p + 4. Suppose -3*j + 2*g = 1, -j + 4*g = -p*j + 9. Is (-84 - 2)*j\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 6*t**2 + 42*t + 22. Determine g(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4 = -4*b + 24, 0 = -4*r + 4*b. Suppose -3*n = -29*l + 32*l - 372, 0 = -r*n + 3*l + 510. What is the highest common factor of 9 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 519 - 2073\/4. Factor -1\/4*m**4 - 1\/4*m - h*m**2 - 3\/4*m**3 + 0.\nAnswer: -m*(m + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 7*u + 5. Let x(f) = 3*f + 2. Let a(n) = 2*m(n) - 5*x(n). Let r = -27 + 29. What is a(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y**2 - 14*y - 11. Give h(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -14. Find the first derivative of 3*w**2 - 5*w**3 + 10*w**3 - p*w**2 + 2 wrt w.\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 12:36 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*r**2\/7 - 59524*r\/7 + 34032 = 0. What is r?\nAnswer: -14889\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-3))\/((-10)\/45). Let f(i) = -i. What is f(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from cekeevxcxx?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 11:52 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2*((sqrt(80) + 2 + sqrt(80) - sqrt(80))**2*-6 + sqrt(80)) + ((4 + -1 + sqrt(80))**2 - (sqrt(80) - (-1 + sqrt(80)) - sqrt(80))*-2)).\nAnswer: -5502 - 1008*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -20.422.\nAnswer: -8.1688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 9*u + 41. Let f be h(-12). Suppose 4*g + 0*o - 649 = 3*o, 0 = f*g + o - 835. What are the prime factors of g?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -343 + -70457?\nAnswer: -7079a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 281557494 divided by -111\nAnswer: -2536554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.02 (b) -4 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5246, -20930, -47042, -83564, -130478, -187766, -255410?\n\"Answer: 3*t**3 - 5232*t**2 - 9*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z + 54*z**3 - 53*z**3 - z.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -2*z + 12, 5*z - j + 4*j = 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c - 33. Let r(m) = 6*m**2. Calculate w(r(t)).\nAnswer: 12*t**2 - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5068967\/60 - -84480. Find the common denominator of -101\/20 and p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4 = 16. Solve 0 = g*o - 35 + 23 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 136770 to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 b when two letters picked without replacement from {b: 2, w: 1, x: 3, c: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4990958 is divided by 2495470.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 0 (b) 2 (c) 91.99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 8:08 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(-4))*s)**6\/(s**3)**(-41) assuming s is positive.\nAnswer: s**105","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - 12. Suppose -4 + u = -2*j. Put 4, j, -2 in descending order.\nAnswer: 4, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 472 - -567. What is the hundreds digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11969, 24126, 36295, 48476, 60669, 72874?\n\"Answer: 6*v**2 + 12139*v - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -215*o**2 - 26851*o + 2999. Determine v(-125).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -249*p - 8. Is l(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11229, 22504, 33781, 45060, 56341?\nAnswer: 67624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**2 + 8106*s + 137224 = 0. Calculate s.\nAnswer: -4036, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + f**2 - 7*f**2 - 2*f**2 in the form z*f**2 + y + j*f and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4209 + -37832\/9. Let x = -1235149\/7 - -175412. Let u = x + 1043. What is the common denominator of u and t?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 526793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m - 4*m**3 + 11*m + 7*m - 6*m.\nAnswer: -4*m**3 + 14*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d - 36 = -4. Let c(u) = u**2 + 5*u + 5. Let t be c(-5). Solve d*x - 16 = -5*o, -1 = t*o + 5*x - 11 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16280 divided by -4.\nAnswer: 4070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + z**2 - 3*z - 2. Let r be f(2). Suppose -32 = r*c - 196. Let n(q) = -21*q - 18*q + c*q. Let b(a) = 4*a. Calculate b(n(p)).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 45516.74 tonnes?\nAnswer: 45516740000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 50503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 560.9 - 879. Let y = 292.83 + -4.83. Let f = y + s. What is f rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7358 divided by -4?\nAnswer: -3679\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1 + sqrt(17)*-1) - ((-2*sqrt(833) + sqrt(833))**2 + -2)) + ((sqrt(204) + sqrt(204) + 1*sqrt(204) + sqrt(204))*-3)\/(sqrt(12)*-1*6).\nAnswer: -834 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (4*5\/(-50))\/(2\/(-10))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d + 7. Let g be (1\/(-2))\/(2\/4) - -11. Determine q(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4967.021 or -12?\nAnswer: -4967.021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - 23. Suppose -4*d - 98 - 114 = 0. Let y = d - -157\/3. Which is the biggest value? (a) 2\/21 (b) y (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 9*y - 10. Let k be s(-8). Let l be 0\/(-2) + (-6)\/k. Solve -u + 3*m = 4*u - 2, -l*u + 4 = m for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 604991?\nAnswer: 71, 8521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-1) + 2 + -1. Let d = 10 - j. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 10*m - 7. Let l(j) = -5*j + 4. Let t be (-9)\/6*-4 - -1. Let y(g) = t*l(g) + 4*f(g). Let s(q) = -2*q. What is s(y(a))?\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 500876 or 1?\nAnswer: 500876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*d = 7379 + 4171. Is 55 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**2 - m**3 - 17 - 12 + 30 - 3*m = 0. Calculate m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -6. Let m be (-5 + 22\/4)*16. Suppose -12*v = -8*v - m. Solve 0 = 2*t - v*j - 10, t + 2*j = -j - z for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, d: 1, h: 1, b: 1, q: 1}. Give prob of sequence dbh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23195\/3 >= 7733?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2236346 (base 7) to base 13.\nAnswer: 9990b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -5 + 0 + 0 + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -96*a**2 + 191*a**2 - 112*a**2 - 10*a**4 + a**3 - 4 + 7 + 2 as x*a**4 + y*a**2 + f + h*a**3 + t*a and give y.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**5 - r**5 - 3*r**5)*(-2 + 22 + 4)*(1 - 3 + 4).\nAnswer: -48*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4491*o + 4493*o = -303*f - 367, -100 = 3*o + 4*f for o.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-51)\/(-34) - 60\/(-8). Let o = -10 - -154. Calculate the greatest common divisor of o and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -14*v**3 - v**2 + v - 17. Let f = 11798 + -11798. Calculate i(f).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.705 - 5.31. Let q = 0.595 - m. Which is the closest to 0.1? (a) q (b) -2 (c) 2\/15 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 4*c + 12. Let r(s) be the first derivative of 2*s**2 + 10*s + 13095. Give r(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1\/t*t)**(8\/3)\/(t**(6\/11)*t**(-4)\/t)*(t**(2\/19)*t)\/((t**(-8)*t)\/t)*(t*t**8)\/(t*t\/(t*t\/((t*t*t**(-2))\/t)*t)) assuming t is positive.\nAnswer: t**(17071\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - h + 13 = 0, -2 = -3*q - 4*h + 5. Let l = -0.06 + 6.06. Let k = l + -5. Which is the closest to k? (a) 0 (b) q (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 231 divide 9943801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-3))\/(34 - (27 - (-7106)\/44)).\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, n: 4, y: 1, m: 2}. What is prob of sequence yn?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -96*o**2 + 2*o + 193*o**2 + 3 - 95*o**2 to j*o + a + b*o**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9142 is divided by 2924.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is 202 times 0.3226?\nAnswer: 65.1652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1745\/772 - -2\/193. Let u = 12449\/2916350 + 3\/6862. Let w = -18243\/6800 - u. Calculate the common denominator of d and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -661376 greater than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 10 = -4*v - 3*f, -4*f - 8 = 5*v. Suppose 5*z - 5*u = 40, 29 = 3*z + z - 3*u. Find the second derivative of v*i + i + 2*i**z + i wrt i.\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106923.\nAnswer: 3, 29, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -726*c + 452*c + 214*c - 612*c - 669*c.\nAnswer: -1341*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4*i + 1 - 6 = 0, -4*a - 2*i = 2. Let p = -1 - a. Let c be (1 - 1) + p\/3. Which is smaller: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-700)\/(-9) + -5063 + 4985.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vsxpvpxxxv. Give prob of picking 1 s and 1 v.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14969477 and 8.\nAnswer: 119755816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 67242 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 5*u**2 + 6*u - 6. Let y be 2\/(-3) + (-112)\/21. Determine t(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 - 3*u**2 + 4*u**2)*(-5*u**3 - 1 + 1 - 2).\nAnswer: -5*u**5 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -4*l**2\/5 - 15368*l = 0.\nAnswer: -19210, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1247?\nAnswer: 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 83484 - -65\nAnswer: 83549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -8 times 536509\nAnswer: -4292072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 10:58 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -144.18 + 0.1?\nAnswer: -144.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1673976.\nAnswer: 2, 3, 19, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/7227 and 95\/462?\nAnswer: 101178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 150 - 139. Suppose -5*a = r + 52, 2*a - 6*r = -i*r - 7. Let p(d) = -d**2 - 10*d + 4. Give p(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 7:07 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-3))\/(((-5)\/1)\/(-40)*-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3956?\nAnswer: 2, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 81*a + 73. Let k(n) = -2*n**2. Give z(k(q)).\nAnswer: -162*q**2 + 73","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000650222 rounded to seven dps?\nAnswer: -0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a meter in millimeters?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1760*l + 6817*l + 13336*l in the form w + a*l and give a.\nAnswer: 21913","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 - -28.5. Let x be 4\/(-10) + (-29)\/(-35). Let k be (3\/(-6))\/(2\/4). Which is the nearest to k? (a) x (b) z (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 121, -1\/2, -0.2, -0.063?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.818 - -274\nAnswer: 273.182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -362, -234, -106, 22?\n\"Answer: 128*w - 490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of g**4\/4 + g**3 - g**2 - 3*g - 3. Let w be d(-3). Put w, -5, -3 in descending order.\nAnswer: w, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + c = 445. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*47281435\nAnswer: 141844305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 t when three letters picked without replacement from mfmmmttt.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*d - 5852 = -118*d. Calculate the remainder when 253 is divided by d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**2 + 4*v**2 + 2*v**2)*(2*v + 0*v - 4*v) + 6*v**3 - 4*v**3 - v**3 + (-23 + 49 - 27 + 83*v)*(2 - 2 - 5*v**2)*(3 - 1 + 0).\nAnswer: -833*v**3 + 10*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -728085*r + 611238 wrt r.\nAnswer: -728085","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2\/2 + 77155*f\/2 + 115710.\nAnswer: 5*(f + 3)*(f + 15428)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**3*w**4 - 43*d**3*w**3 + 2*d**3*w**2 + 2*d + w**4 - 4*w**2 wrt w?\nAnswer: 48*d**3*w - 258*d**3 + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 220610, 881538, 1982786, 3524354, 5506242?\nAnswer: 7928450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2846 + -36975\/13. Which is smaller: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 861 and 3157?\nAnswer: 9471","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 228 divide 2125644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10020010202210 + 122?\nAnswer: -10020010202011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002503372 rounded to seven dps?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32.4 - 32.587. Let d = 78.813 - s. Let h = d + -76.89. Round h to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 9*f + 3. Let t be s(-9). Let i be (-2 + 3)\/(-4) + 42\/8. Factor u - 3 - t*u**2 + u + i*u - u.\nAnswer: -3*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70.44 rounded to zero decimal places?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.414 + 24.414. Put s, -20, 0.4, -0.3, -1 in increasing order.\nAnswer: -20, -1, -0.3, 0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + v**2 - 2*v - 4. Let i be o(2). Suppose -1110 = -i*s - 5*m, s - 552 = -s - 4*m. Is 28 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tywzwpwyjpwwp. What is prob of sequence zt?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*t + t**5 + t**5 + 2*t wrt t.\nAnswer: 40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182629 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-599930)\/59993*3\/2*2\/(-1665)*-6?\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, a: 9, d: 1, k: 2}. Give prob of sequence qkk.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 141761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-11)\/(1331\/11))*1*-1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13810*0.336.\nAnswer: -4640.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-134)\/(-7) + ((-2)\/(-14))\/(-1). Let i(p) = 7*p + 5. Is 21 a factor of i(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zhzhhzhzhhzzzhhzzhh. Give prob of picking 2 h and 2 z.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44 + 17 + 27 + 585*w**2 + 3*w wrt w.\nAnswer: 1170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86236?\nAnswer: 2, 21559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -31007 - -2?\nAnswer: -31005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6298 is divided by 2096.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/2 and -47\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11)\/(0 + (-2 - -3)). Suppose 0 = 163*d - 135*d + 43 - 211. Let l(b) = -2*b**3 - 7*b**2 + 11. Let o(p) = -p**3 - 4*p**2 + 6. Give d*l(z) + m*o(z).\nAnswer: -z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of 5*c**2 - 1\/12*c**4 + 0*c - 13\/6*c**3 - 1\/120*c**6 - 2\/15*c**5 + 0. Let u be b(-8). Solve 0 = u*x + 2*x - 20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 109651900 and 84?\nAnswer: 2302689900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oxof when four letters picked without replacement from {b: 5, l: 1, y: 1, o: 3, f: 4, x: 3}?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6065322 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**16)\/(z*z*z\/(z*z\/z**13)))\/(z\/z**(-8))**37 assuming z is positive.\nAnswer: z**(-330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 319 and 19778?\nAnswer: 19778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 13*n - 14. Let j be n + -1 + 3 + -3 + 2. What is the closest to -2\/5 in j, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 5*v - 233, 4*g + 5*v - 966 = 2*v. What is the smallest common multiple of 6 and g?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 0.2, 1\/6, 0.3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 248 = -58. Calculate the greatest common divisor of 1 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 1 = -17, 5*u - 5*i - 24285 = 0. Suppose -4*z - 11167 = u. Let h = -1240 - z. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 105346 + 0?\nAnswer: 105346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((-24)\/(-22) - 1). Suppose o = -2*q + 33. Suppose -5*l + q = -184. What is the remainder when 77 is divided by l?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, t: 1, w: 3, d: 8, r: 4, o: 2}. What is prob of picking 1 q, 1 t, and 1 w?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2201031 and 818524.\nAnswer: 4991","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-21 - 1) - 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33552.00015529 + 33552. Round q to six decimal places.\nAnswer: -0.000155","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -y**2\/2 + 13*y - 2. Let a be d(10). Does 3 divide a - 4\/(4\/(-19))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.3, 5\/13, 5\/2, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/6 + (-9)\/2. Let z be 64\/r*2\/4. Let k = -1 - z. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 2:50 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11 (b) -0.1 (c) 1 (d) -13 (e) -2\/9 (f) -128\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -28*x + 32*x + 421790, 2*x = -3*f + 632709. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u - 2. Let h be j(4). Let v be h\/(-21) - (-1 + (-1)\/(-21)). What is the smallest value in v, -0.1, 0, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i - 23*i + 2*v + 55 = 0, -4*i - v = -44. Solve i = -5*f + 16 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g + 1. Let v(x) = -x**2 + 14*x - 16. Let k(n) = -u(n) - v(n). Let s be k(12). Suppose 0 = -0*j + 4*j - 4*c - 36, -25 = -s*j + 5*c. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-8) - 0 - (38855\/760 - 78)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 223*m - 2539 - 137 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*v - 3*o = -57, 2*v + 5*o = 39. Let r be (-8)\/((-168)\/33) + v\/28. Solve 15 = -r*g + 5*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 380.6148m?\nAnswer: 380614800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 453957 times 54\nAnswer: 24513678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2606, 8, -45 in decreasing order.\nAnswer: 2606, 8, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1386.1 - -1386.3. Let m = 3 + 3. What is the smallest value in m, 9, -4, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 5) to base 2.\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -14. What is the closest to -2\/3 in i, 0.3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4535 divided by -5.\nAnswer: 907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**2 - 187*w. Let n(y) = y. Give n(l(m)).\nAnswer: -2*m**2 - 187*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 9) in base 4?\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13 (b) 5 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.048 + -3.1. Let r = u + 0.0547. What is r rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 101 by -32.\nAnswer: -101\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 5 = 4*i + 9, -3*i = -2*k + 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -61871789*m**6 - m**2 - 4968309 wrt m.\nAnswer: -7424614680*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((4 + sqrt(304))*-6)**2 + (-1 + (sqrt(38)\/sqrt(2))**2 - (-1*sqrt(190))\/sqrt(10)).\nAnswer: 1153*sqrt(19) + 11538","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1203 is divided by 19?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 5370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3375 and 14165.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 198 - 235.2. Let p = -243.2 - q. Let z = 206.163 + p. What is z rounded to 2 dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 958763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 282 and 66954?\nAnswer: 3146838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 9956043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*d + 8*d - 6*d)*(-2*d + 5*d - 4*d)*(-2 + 0 - 4).\nAnswer: -48*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35475768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, k: 8, u: 1}. What is prob of picking 2 y and 1 k?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.44 + -2.56. Sort g, 0, -0.3 in decreasing order.\nAnswer: 0, -0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1333?\nAnswer: 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 0*q + 3*q)*(q + 0*q + q)*(8*q**2 - 2*q**2 - 2*q**2) + 0*q**4 + 3*q**4 - 5*q**4.\nAnswer: 22*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172*y - 12626 + 25242 - 12628.\nAnswer: -172*y - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.5, -0.6, 38, -0.2, -1\/6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -7*k**2\/2 + 5*k + 36. Let q(i) = -2*i. Let s be q(-2). Let r(p) = -6*p + 4. What is s*f(u) - 5*r(u)?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-608)\/6 - (-13)\/39. Let h = -93 - w. Calculate the least common multiple of h and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -221a8 - 61?\nAnswer: -22239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1581*-0.159\nAnswer: 251.379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - ((5 - -33) + -4 + -11)) + 2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1167 a factor of 10673231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 204 + -87. Suppose -4*b = -55 - z. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 2*x + 1. Let m(f) = -65*f**2 - 4*f + 15. Let r(j) = -m(j) - y(j). Let k be r(-5). What is k rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*k - 73*k + 90 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 58\/(-18) + (-24)\/(-108). Let a = 1 + o. Let f(c) = 1 + 3 + 4*c - 3*c**2 + 9*c - 3*c**2. Let t(m) = 2*m**2 - 4*m - 1. Give a*f(l) - 7*t(l).\nAnswer: -2*l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -1.1. Let o = 0.0817 - 0.4727. Let s = 0.009 - o. Which is the second smallest value? (a) s (b) 0 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -a**4\/24 - a**3\/6 + 20*a**2. Let t(v) be the first derivative of 3*v**2\/2 + 2*v - 179. Determine -4*d(w) - 2*t(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 49.2. Let o = r + 10.2. Let k = o - -22.00214. What is k rounded to 4 dps?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20711030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (318\/7)\/((-28)\/(-196)). Suppose -913 = -7*k - g. Calculate the greatest common factor of 17 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + (-1560)\/(-100) + (-2)\/(-5). Let p(s) = -s**2 + 10*s + 44. Let n be p(q). Solve -4*g + 13 = v, -n*v + 0*v = 5*g - 35 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 3:52 AM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -13*o - 14. Let d(j) = 7*j + 7. Let f(t) = -11*d(t) - 6*p(t). What is the least common multiple of f(-5) and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 11:26 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(56\/(-4)) + 9\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1255 - 3701\/3. Let f = 22 - j. Let i = 0.622 + -0.122. Which is the third biggest value? (a) f (b) i (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 238034287?\nAnswer: 238034287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*q**2\/11 - 2476*q\/11 + 354\/11 = 0. Calculate q.\nAnswer: -177, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 293257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -205.09 + 206. Let q = -0.51 + u. Let l = 0.01 - 3.01. Put q, -18, l in decreasing order.\nAnswer: q, l, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2. Let y(i) = 15900018*i**2. Give y(h(f)).\nAnswer: 15900018*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -6. Suppose c - 2 = -f*c. Suppose c*v - 2*b = 56, -2*b = 2 - 0. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*p**3 + ((2*p - 5*p + 12*p)*(5*p - 4*p - 2*p) + 2*p**2 - 2*p**2 - 5*p**2)*(0*p + 2*p + 0*p).\nAnswer: -30*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 28959 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*w + 10 = -390 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.235 less than 2?\nAnswer: 2.235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1465, 1466, 1467, 1468, 1469, 1470?\nAnswer: 1471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*j - 8, -5*d + 20 = -5*j + 90. Is (-54)\/12*-47*(-8)\/d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*n = -41*n - 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*u)*(-4*u + 4*u + 3*u)*(-u - 1 + 1).\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 4*g - 104 = 0. Let u = 42 - g. Is u\/5 - 4\/20 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9988.999944 - 9987.5. Let s = m + -1.5. What is s rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/6 + 4721306*b**2\/3 - 22290739788245*b\/6 + 22290720903025\/3.\nAnswer: -(b - 4721305)**2*(b - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.34 - 17.66. Let l = k + 18.7. Let p = l - 0.7000012. Round p to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjdv when four letters picked without replacement from {j: 3, d: 1, g: 4, w: 7, v: 3}?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 smaller than -2.0176?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 2*s - 4. Let w be 1 + -3 + -4 + 11. Suppose w*k + 4 = b, -b + 4 + 0 = -k. What is the units digit of v(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1513 (base 6) to base 4\nAnswer: -12111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13983 is divided by 69?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -5*k + 3 - 8, 6 = -2*i + 4*k for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t + 3*t - 5*t)*(4 - 4 + 2*t**2) - 2 + 2 + 11*t**3 - 14*t**3 + 33*t**3 - 46*t**3 to a + f*t**2 + o*t + c*t**3 and give c.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 234118 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14310400 - 3?\nAnswer: 14310342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 599, 3, 22, -13.\nAnswer: -13, -1, 3, 22, 599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 10*t = -5*t + 165, f - 5*t - 29 = 0. Find the first derivative of -f - 123 + 21 - 136*p wrt p.\nAnswer: -136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-3 + 0 + sqrt(2299) + 6*(sqrt(2299) + 1) - ((sqrt(2299) + sqrt(2299) + sqrt(2299) + (sqrt(2299)*1 - sqrt(2299)) + sqrt(2299) + -2)*-6)**2))*5.\nAnswer: -6621830 + 32065*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 92159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) + sqrt(468) + -3)*-3 + sqrt(468))**2 + (sqrt(468) - -3*(sqrt(468) + -3))**2 + (4 + sqrt(468) + 0 + 3 + 4)**2.\nAnswer: -840*sqrt(13) + 19939","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1769, 1, 171.\nAnswer: -1, 1, 171, 1769","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-4))\/(2\/8). Suppose -20*k = 2*f - 18*k - 6, 0 = 5*f - 2*k - 43. Solve -z - c = -f for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -13*l**5\/20 - 10*l**3\/3 - 7*l**2. Differentiate q(t) with respect to t.\nAnswer: -78*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27658 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 divided by -7.\nAnswer: 29\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10182*m**2 - 11*m - 712605 wrt m.\nAnswer: -20364*m - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -97 + (-72 - -58 - -67)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -15 + -3951 + 3987.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -122 and 3070?\nAnswer: 3192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*o = 37, m - 4*o + 17 = -2*o. Let h be (-2 - -5)\/(m\/6). Let f = -6\/139 - -586\/695. Which is the closest to -1? (a) f (b) 0.3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2 - 5. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -59*y**3 - y**2 + y - 1. Let o be h(1). Let q be (6\/(-5))\/(8\/o). Let r(j) = -j**2 - 19*j + 971. Let b be r(-42). Solve -q*s = -b*s - 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.8 + 1.3. Which is the nearest to -0.1? (a) -1\/4 (b) -0.4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5448, -10892, -16334, -21774?\n\"Answer: r**2 - 5447*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/18 - (-14)\/(-63)*10. Let j be (174\/(-24) + 5 + f)*-4. Find the second derivative of -6*s - 38*s**5 - 3*s + j*s + 15*s wrt s.\nAnswer: -760*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 45944?\nAnswer: 229720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12801084 to the power of 1\/3, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-2 - (25 - 9))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g + 1. Let b(w) = 2*w - 1168. Calculate -b(f) - 2*d(f).\nAnswer: 2*f + 1166","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 3*m + 2. Let b be a(3). Suppose b*t + 12 = -3*i - 1, t + 2*i = -8. Let c be (4\/t)\/(4\/(-8)). Put -1, -6, c in ascending order.\nAnswer: -6, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 25 = -22. Let q be (10 - 108\/12)\/(b\/(-25)). Solve q = -8*l + 3*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3699*z**3 - 2*z**2 + 12414*z?\nAnswer: 22194*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 152\/16)*4\/(-2). Suppose -i*o = -14*o - 75. What is the remainder when 102 is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -599 in -2\/49, -5\/3, -250, -3\/7, 2?\nAnswer: -250","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, p: 1, v: 4, u: 1, i: 2}. What is prob of sequence mip?\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 8, 6\/7, -2\/29, -22, 11?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.040541 not equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**2 - 140*m - 438 = 0. Calculate m.\nAnswer: -3, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = z + 16. Let o be 10\/(-2) + 4 - z. Suppose 8 + 31 = o*i. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2905 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 - -42. Suppose 4*y = n + 11. Let f(z) = 29*z - 4 - z**3 + y*z**2 + 3 - 35*z. Calculate f(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6248?\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w**3 - 7*w**2 + w + 2. Let v be t(-1). Put 21, 3, v in increasing order.\nAnswer: v, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -86*p**3\/7 + 1102*p**2\/7 - 3936*p\/7 + 360 = 0. Calculate p.\nAnswer: 35\/43, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 16*f - 59. Let w be x(-7). Solve -12*n - n = -w*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -5. Suppose 35 = f + k. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222607488.\nAnswer: 2, 3, 579707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 15*g + 40. Let k(t) = -3*t - 8. Let a(j) = 11*k(j) + 2*z(j). Let c = -8 - -12. Let r(i) = i + i + 15 + 0*i + 0*i + 3*i. Calculate c*r(d) + 7*a(d).\nAnswer: -d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 6*c**2 - 8*c - 15. Let y be -46*(-1)\/(2\/(-3)). Let z = 64 + y. Let w be o(z). Which is greater: -2\/7 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 5:17 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.514 and 12301374.\nAnswer: 12301374.514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -209.2944047 - 50.\nAnswer: -259.2944047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1322)\/(-4))\/(2\/8). Let i be (-244)\/(-112)*x + 0. Let z = 2887 - i. Find the common denominator of z and 47\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 34, 37, 40, 43?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -79, 4, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - g + 4*g + 97, -585 = -5*j - 5*g. Suppose 229 = 4*s + 5*n, -34*s = -32*s + 2*n - j. What is the remainder when s is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10049 is divided by 1115.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1247)\/(-319) + (1 - 0) - 6?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-1)*1*(-1)\/(-5)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 6) in base 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22*2\/8*2. Let q = w + -7. Let x = -44 + 47. Put x, q, 1 in descending order.\nAnswer: q, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3615.29 - -84.71. Let d = 3700.01893 - f. Round d to three decimal places.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (-19 + 14 + 4).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 221*s - 4204. Calculate f(20).\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47472, -92352, -137232, -182112, -226992?\nAnswer: -271872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-15) + 16\/10. Suppose 45 = 5*k - 4*d - 18, -4*k - l*d = -66. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.01 from -2.12094057.\nAnswer: -2.13094057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b - 2*b - 2*b - 2*b**2 - 2*b to n + m*b**2 + x*b and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39145, 78322, 117501, 156682, 195865, 235050?\nAnswer: 274237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}