diff --git "a/data/dm_maths/full_data_2/10389_11255.jsonl" "b/data/dm_maths/full_data_2/10389_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10389_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let u = 8 - 10. Let m be 5 + u + (8 - 9). Which is smaller: m or 12\/7?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30 in 4, -5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 270977 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 10:03 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**(-1))**(-7)*p*p**(-2\/27)*p**(-2\/5)*((p*((p\/p**4)\/p)\/p)\/(p*(p\/p**(2\/11))\/p*p))\/(p**(4\/9)*p**(-1\/9)) assuming p is positive.\nAnswer: p**(-39539\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.8 - -0.2. Let y = -0.216 + 0.016. What is the closest to 0.3 in y, -4, n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.6533 + 15.6533. Sort 2\/7, 0.03, -4, -1.7, y in increasing order.\nAnswer: -4, -1.7, 0.03, 2\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + 3. Solve 4*w - 23 = -5*s, s + q = 2*w + 3*w for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-132)\/(-176))\/((27\/6)\/(-3)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 572171 - 11?\nAnswer: 572160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 11*g - 1. What is o(-2)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, l: 1}. What is prob of sequence ccc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3635, -7060, -10485, -13910, -17335, -20760?\nAnswer: -24185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -17. Solve 3*w - z - 5 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-1092)\/49)\/13)\/(9\/(-42))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 9 = -29 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6790 - -9735. What is the thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 s when two letters picked without replacement from {u: 3, v: 1, d: 2, t: 12, s: 1}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n - 1. Let r be g(-3). Let j(v) = 3 - 2 - 3*v + v**3 + 2 - 1. Let z be j(2). Put 3, z, r in descending order.\nAnswer: z, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 76 - 31. Calculate the remainder when 2277 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292 is divided by 22?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65694356 and 416?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 p when three letters picked without replacement from {x: 3, s: 2, g: 1, f: 1, j: 1, p: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.1250009172 - -9.125. Round j to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3339, 6686, 10017, 13332, 16631?\n\"Answer: -8*v**2 + 3371*v - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(11197 - 2*w**3 + 4*w**3 - w**2 - 11237).\nAnswer: 2*w**3 - w**2 - 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 12. Let f(u) be the first derivative of -u**4\/4 + 10*u**3\/3 + 3*u**2\/2 - 5*u - 5. What are the prime factors of f(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -20*j. Let q(c) = -7936 + 7936 - 53*c. Calculate q(r(w)).\nAnswer: 1060*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 3*o**2 - 4*o + 1. Let s be g(4). Suppose -s = d - 4*j, 61 = 3*d + 3*j + j. Let i be d\/(-6)*12\/(-10). Solve 2*n - 1 = -i for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (15\/(-6)*2)\/((-254)\/(-24) + -11). Solve -78 = n + g*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -383, -734, -1077, -1406, -1715?\nAnswer: -1998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110628, 224018, 337418, 450834, 564272?\nAnswer: 677738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -25486427616.07 minus 0.3?\nAnswer: -25486427616.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(1\/3)\/h))**2*h**6\/(h\/h**4) assuming h is positive.\nAnswer: h**(37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 168557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -120 - -135. Suppose b*l - 12 = 12*l. What is the least common multiple of 27 and l?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and -504416367478.\nAnswer: -504416367477.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**3\/2 - 684*k**2 - 5535*k\/2 + 3450 = 0.\nAnswer: -5, 1, 460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 149051601 to the power of 1\/2, to the nearest integer?\nAnswer: 12209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1119\/56 - 13\/56. Find the common denominator of u and 95\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-6\/5))\/s**(-3\/17)*((s*(s*s**(2\/21)\/s*s*s)\/s)\/s)\/s**(1\/8) assuming s is positive.\nAnswer: s**(47791\/14280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-666)\/259*28\/(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 8195 = 3*h, -h = 14*b - 17*b - 2723. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-2)*4\/(-4). Let h = 3 + j. Sort -4, -3, h.\nAnswer: -4, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.064 - 3.016. Let p = -0.08 - t. Let m = 5 + -6. Sort p, 0.3, m.\nAnswer: m, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17 - 1008\/80)\/(44\/(-55))\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -79351*o**3 + 21*o**2 + 178*o + 22. Let t be n(-9). Round t to the nearest one hundred thousand.\nAnswer: 57800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*6\/108*1. What is the third smallest value in -4, 4, -0.3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 6*b**2 + 5*b + 4. Let n be -4 + -5 + 1 + 3. Let p be g(n). Let i be (4 + -2)\/(2\/p). Solve -4*r - 4*f + i = 0, 0 = -0*r - 3*r - 5*f + 11 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 19, -10\/21, -0.3, 0.1, -1\/10, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**6*u*u**(-2\/7)*u)\/(u\/u**1*((u**1*u)\/u*u)\/u*u) assuming u is positive.\nAnswer: u**(40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-16))**0*(m**11\/m)**(-24) assuming m is positive.\nAnswer: m**(-240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 12 + 3. Suppose 0*u + 2\/5*u**4 - 2\/5*u**2 + 0 - 2\/5*u**l + 2\/5*u**3 = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76.5298 rounded to the nearest integer?\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from djjddddd. What is prob of sequence ddj?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4000) + -2*sqrt(4000))\/(-2*sqrt(72)).\nAnswer: 5*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -g**4\/12 - g**3 + g**2 - 2*g. Let w be y(-6). Suppose -i + 50 = 2*i + w*b, 0 = 5*i + b - 81. Does 10 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a millennium in months?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 205 divided by -830\nAnswer: -41\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - y - y)*(0*y - 3*y + 2*y) + 5*y**2 + 6*y**2 - 2*y**2.\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuwuwwu. Give prob of sequence ww.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-30)\/4)\/5*-2. Suppose 6 - 15 = j*q. Let k(d) = 0*d**2 - d**3 - d + 3*d - 3*d**2 + 2. What is k(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t**3 - 4*t**3 + 4*t**3)*((3 - 2 - 3)*(3 + 1 - 3) - 472 + 217 + 107) in the form s + d*t**2 + p*t**3 + n*t and give p.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*g**3 + 193*g**2 + 3532 wrt g?\nAnswer: 18*g**2 + 386*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 76.2 + -114.2. Which is the second biggest value? (a) -2 (b) -0.4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 8*u**3 + 2*u**2 + 10*u + 17. Calculate a(-2).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oodoouuouduududuo. Give prob of picking 2 u, 1 o, and 1 d.\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 82*h**2 + 2*h - 1. Let b(g) = g**3 - 4*g**2 + g - 2. Let c be b(4). Is o(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 5*q, 1 = q + 2. Suppose 2*p = a + s, -a - 2*a - 2 = -5*p. Calculate the greatest common factor of a and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43 - 1242?\nAnswer: -1144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6\/5, 2.53, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2 = -0, -3*s + 2*f - 4 = 0. Suppose 4*o = s, -5*o + 5 - 77 = -4*t. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 5*g**2 + 3. Let d be x(-5). Suppose 0 = -o + d*o - 2. Solve 3*i + 3 = 0, -4*r + o = -5*i - 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -911.3, 2\/5, -0.1, -2\/9 in ascending order.\nAnswer: -911.3, -2\/9, -0.1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1, -9, -19, -29, -39, -49?\n\"Answer: -10*l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of 13*x**6\/45 - x**5\/30 - 17*x**4\/12 - 7*x. Let y(i) be the third derivative of w(i). Does 38 divide y(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000324445 to six dps.\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4*a - 7*a + 9*a. Let y(c) = 3532 - c**2 - 3*c**2 - 3542 + 2*c**2. What is y(f(v))?\nAnswer: -8*v**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-3))\/(21\/1008). Suppose 55 = 3*j - l. What are the prime factors of j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00043796 to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 6*g**2 - 3*g + 73. Give h(10).\nAnswer: 643","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 90374068357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-2)\/p)\/p)**(-14\/11)\/((p*p**3)\/p**(2\/49)))**(2\/109) assuming p is positive.\nAnswer: p**(1220\/58751)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-6) + 4\/6. Let x be (1\/(-3))\/(2\/(-30)). Solve -u = 5, 3*p + x*u + 23 + 11 = j for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 239, 412, 585, 758, 931, 1104?\n\"Answer: 173*l + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.2 - 7.052. Let o = -0.048 + w. Which is the closest to 0? (a) -3\/10 (b) o (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 90504*-180\nAnswer: -16290720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 13 = -21*m. Let a(b) = 1267*b + 362. Let j(z) = -3*z - 1. Let h(k) = m*a(k) + 362*j(k). Let o(g) = g. Calculate h(o(y)).\nAnswer: 181*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -663*m + 708*m - 1623 - 357 for m.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 6*p**2 + 8*p - 1. Let f be y(8). Let j = 95 + f. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10 - -4) + (-8 - -114). What is the greatest common factor of 175 and i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w**4 - 11*w**3 + 9*w**2. Let f(u) = u**4 + 5*u**3 - 4*u**2. Let k(n) = 15*f(n) + 6*h(n). Let k(q) = 0. Calculate q.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (49\/(-294))\/((-1)\/(-2)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 560, 6\/13, -1\/4, -18\/11?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-52) + 2103*(-4)\/(-78). Calculate the highest common factor of p and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - v - 29420 = -2366, 108221 = 4*k - 3*v. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -21b708b - 14?\nAnswer: -21b70a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 2:12 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3161841 divided by 109029.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/22 - 10812\/66. Let u be (-4)\/18 - (-1042)\/(-9). Let d = m - u. What is the common denominator of d and 27\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143940457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.68536564 - -614.31514036. Let l = -618 + a. What is l rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (51 + -71)\/(3 - 7). Suppose -4*l = 5*c - 2*c + 20, 2*l = 2*c + 4. Suppose -5*a - 2*m - 10 = -5*m, m - 6 = -a. Sort a, g, c.\nAnswer: c, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -493750000 to the nearest 1000000.\nAnswer: -494000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.219526076589 + 131?\nAnswer: 132.219526076589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**8*b)\/(b**(1\/5)*b*b)*(b*((b**(-1\/3)*b)\/b)\/b)**(4\/27) assuming b is positive.\nAnswer: b**(3544\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 + 2*o**2 - 5*o**2 + (0*o - 5*o + 3*o)*(-4*o + 6*o - 3*o) + 0*o**2 + 3*o**2 - o**2 + o - o - 2*o**2 - 4*o**2 + 3*o**2 + 4*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18214323 is divided by 34?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/13*1\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**5\/x**(-1\/2))\/(((x\/((x*x\/(x*(x**(-1)\/x*x)\/x*x))\/x))\/x)\/x)**(12\/5) assuming x is positive.\nAnswer: x**(103\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101879?\nAnswer: 101879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 342258 a multiple of 609?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 1. Let s(f) = 27 + f - 28 - 2*f. Let r(q) = -4*s(q) - y(q). Let o = 445 - 479. Let i(a) = 23*a + 17. What is o*r(b) + 6*i(b)?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*i - 14, -12 = -w - 3*i for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 o when three letters picked without replacement from {d: 4, y: 6, o: 3}.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -101000 - -46?\nAnswer: -100732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + (-4 - -4))*1589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*x + 0 + 164 = 22*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 3321 = -18*s. Calculate the remainder when s is divided by 57.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 88*g + 114*g**2 - 227*g**2 - 26 + 110*g**2. Let l be d(29). Solve 6*r = l*r + 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -5*o**3 + 3*o**2 + 7*o + 4. Let b(x) = 6*x**3 - 3*x**2 - 8*x - 5. Let v(w) = -6*b(w) - 7*y(w). Suppose -9*p - 12 = -3*p. Calculate v(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 253, 392, 517, 622, 701?\n\"Answer: -s**3 - s**2 + 149*s + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 48, 4, 2, -5, -1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15494 a factor of 423671346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**5 - 12015*w**4 + 749170*w**3 + 4783300*w**2 + 9758760*w + 6569888 = 0 for w.\nAnswer: -12077, -2, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 6339 = 3*r, 4*r + 24*p = 26*p + 8440. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 9*t**3 - 6*t**2 + 7*t - 79. Is v(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6372*r + 6282*r + 1 - 1.\nAnswer: -90*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1764 + 4479. List the prime factors of i.\nAnswer: 3, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 105 - 33*a**2 - 7*a**3 - 20*a**2 + 58*a**2. Let l(w) = 8*w**3 - 3*w**2 - 104. Let q(y) = 2*j(y) + 3*l(y). Differentiate q(z) wrt z.\nAnswer: 30*z**2 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73817743 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 6*z + 9. Let m be f(-1). Solve m*g + 12 = 24 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*r**2 + r - 4*r + r - 7*r**2 to j + i*r**2 + g*r and give i.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooeyiyeoeoe. What is prob of sequence yo?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -755? (a) 4 (b) 3 (c) 0 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 748 and 12980?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 650686?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 w when three letters picked without replacement from {l: 3, u: 2, e: 1, w: 2, y: 2, q: 2}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*g + 99*g - 13 = -2*u, u - 2 = 4*g for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 86225, 86237, 86259, 86297, 86357?\n\"Answer: y**3 - y**2 + 8*y + 86217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 7:00 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -442 - -715. Calculate the highest common divisor of 21 and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 - 101*z\/3 - 770\/3.\nAnswer: -(z + 22)*(3*z + 35)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -312 by 1.\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/(252\/(-80)) - 8\/36. Let x(u) = 26*u**2 - 3*u - 3. Is x(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 27\/11797990 or -1?\nAnswer: 27\/11797990","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j. Let g(i) = 2489*i - 3537. Let s(u) = -2*u + 3. Let y be (-14149)\/6 + (1\/1)\/6. Let l(v) = y*s(v) - 2*g(v). Calculate n(l(b)).\nAnswer: 262*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 - (-6)\/3) + 27?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 4\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6391525.4 rounded to the nearest 1000?\nAnswer: 6392000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**2\/c*c)\/c*c)\/c)**(-1\/27)*(c*c**(-1\/6))**(-1\/5) assuming c is positive.\nAnswer: c**(-11\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-49)\/(-22) - (-3)\/4*-2. Which is smaller: 2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7259, -7257, -7255?\nAnswer: -7253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6188.4928 - 4.7072?\nAnswer: -6193.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2542914, 5085828, 7628742, 10171656, 12714570?\n\"Answer: 2542914*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -9*j**2 - 138*j + 14. What is t(-19)?\nAnswer: -613","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**5\/6 - 116*r**4\/3 + 1594*r**3\/3 + 347*r**2\/3 - 10019*r\/6 + 3185\/3 = 0. What is r?\nAnswer: -245, -2, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r + 0*r**2 + r**2 - 3 + 0*r**2 - 2*r**2. Let p be 2\/3*(-30)\/4. Let l(b) = 1. Let m(q) = -1. Let z(g) = -3*l(g) - 2*m(g). Determine p*z(a) + 2*k(a).\nAnswer: -2*a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 203423 + -2?\nAnswer: 203421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ecakc. What is prob of sequence ck?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**3. Suppose 0 = -5*l - 9 - 16, z + 9 = -2*l. Let u be x(z). Suppose -13 - 9 = -u*q. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 1:18 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92660901.\nAnswer: 3, 30886967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o**2 - 3*o. Let t(z) = -z**2 + z. Let p(n) = b(n) + 3*t(n). Let w(y) = y**2. What is w(p(q))?\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-9)*(-18)\/(-4). Let v(m) = m**2 - m + 3. Calculate the lowest common multiple of v(r) and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 829 <= -48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -7*p + 338*p**2 - 338*p**2 - 8*p**3. Let t = 7 + -4. Let w(s) = 6*s + 5*s**3 + 5*s**t - 3*s**3. Determine 7*w(l) + 6*x(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -876 + 874. What is the closest to 23\/3 in -5, 0.2, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**4 - 1800*r**3 - 2871802*r**2 + 1800*r + 2871800 = 0.\nAnswer: -830, -1, 1, 1730","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u + 13*u - 5*u + 2 = 2*t, u + 7 = t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than 1170.8?\nAnswer: 1171.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 210 divide 29906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46478646?\nAnswer: 2, 3, 17, 193, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**35\/s**30 assuming s is positive.\nAnswer: s**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7429 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-8) - 1278\/(-48). Suppose -5*z - o = -8*z. Let v(g) = -6 + 4*g - 8*g**3 + 8*g**2 - 2*g**2 + z*g**3. What is v(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbzx when four letters picked without replacement from eeebbzzxebzezzz.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f. Suppose 236*g + 1 = 235*g. Let z(n) = -8*n + 2. Give g*z(t) - 3*h(t).\nAnswer: 5*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 36216060 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35130 + 15?\nAnswer: 35145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/2)\/(((-45)\/(-10))\/(-9)). Suppose -5*h - 20 = 5*y, h = z*y - 4*h - 20. Sort y, -2, 3, -1 in decreasing order.\nAnswer: 3, y, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 493548?\nAnswer: 2, 3, 11, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cl when two letters picked without replacement from kkcckcklccckc.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 787 is divided by 39.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 109910226?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1128782.96100047 + -1128783. Let h = 65.961 + -66. Let y = m - h. What is y rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.2 - 4.7. Which is the fourth smallest value? (a) -2 (b) -0.3 (c) 14 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -316 - -316. Solve c = k - 3*r - 3 + 2, r - 1 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -541*q**2 - 1094*q?\nAnswer: -1082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 4\/9, -4, -78, 1\/2 in ascending order.\nAnswer: -78, -7, -4, 4\/9, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 620, 1234, 1840, 2438, 3028, 3610?\n\"Answer: -4*y**2 + 626*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 6*i - 3. Let a be d(7). Suppose a*z - 15 = -147. Is 3 a factor of 4\/22 - 159\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2480 times 0.41\nAnswer: 1016.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -954 divided by -954?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 17407.9 kilograms?\nAnswer: 17407900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/113 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6 - -1 - (5 + -1). Let y = m - -16. Suppose -10*u + y*u = -108. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 364942 is divided by 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 11*j**2 - 6*j - 8. Suppose 0 = h - b - 12, 2*h + 4*b = b - 1. What is the hundreds digit of p(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = m, -5*m - 12 = -3*x. Let n = 1 - x. Let l(b) = -28*b - 4. Let z be l(n). What is the highest common divisor of z and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/3 and (-1019)\/(-957) - 6\/(23 + -17)?\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-six fifths of a litre in millilitres?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-54 - 0)*(-11)\/22. Let b = v - 23. Suppose b*w = 4*f - 100, 5 = f - 2*w - 20. Is f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14952 and 61531752?\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 4698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 476424122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 210 divide 7140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4165117 milligrams to grams.\nAnswer: 0.0004165117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2150267 + 0?\nAnswer: 2150267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 61845 and 190.\nAnswer: 123690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 110, 109, 108, 107, 106?\n\"Answer: -k + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1760.4 + 1760. Let i = -150 - -152. Which is the third biggest value? (a) -26\/3 (b) 4 (c) i (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s - 18. Let m be d(12). Suppose 4*j + 16 = -2*l, -4*l - 3*j - m = 6. Suppose -2*g - 31 = -c - 3*g, l = 2*c - 4*g - 86. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -203 + 202.909. Let x = -0.011 + q. Let h = -0.101959 - x. Round h to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -85, -125, -163, -199, -233?\nAnswer: -265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*z = -165*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = 4*h. Let d be (0\/h - 1)*0. Solve -5*w - 35 + 10 = d for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of 3*c**5\/4 + 19*c**4\/6 + 21*c. Find the third derivative of h(j) wrt j.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 11459655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -3, 0, -7, -16, 56 in decreasing order.\nAnswer: 56, 0, -3, -7, -11, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61314747 is divided by 2550.\nAnswer: 2547","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -3*h - 1\/3*h**3 - h**2 + 1\/6*h**4 + 0 + 1\/10*h**5. Factor o(z).\nAnswer: 2*(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3660000 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219415 is divided by 19518?\nAnswer: 4717","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254 is divided by ((-512)\/48)\/(2\/(-6)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7\/12 - -37\/84. Let a = -47 - -61. Let g = a + -6. Sort g, 1\/8, y in ascending order.\nAnswer: y, 1\/8, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.22 * 45.3.\nAnswer: 9.966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 89 - 24)*(-107*i**2 - i**3 - 6*i + 107*i**2).\nAnswer: 113*i**3 + 678*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3144534 - -1?\nAnswer: 3144535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 389 + 4*u + u - 389.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p + 25*p - 264 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5*k = 4*g + 18, 0 = -5*k. Let v be g*3\/6 + 10. Suppose 0 = -2*x + v*x + 2*q - 111, 2*x - 4*q = 30. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 4*s + 18, -21*y - 2*s + 44 = -17*y. Solve 3*n - y = n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 39\/5*k - 42\/5 + 3\/5*k**2 = 0.\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23641753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4*h - 4. Let i be d(7). Let a = i + 5. Let m be 4\/18 - (-6)\/a. Let r(q) = -q**3 + q**2 - 7. Give r(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 6*w - 3*m = 18, 0 = w - 6*m - 36. Factor w + 2\/7*p**2 - 6\/7*p.\nAnswer: 2*p*(p - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -89*b**3 - 10*b**2 - 741*b - 1460. Calculate n(-2).\nAnswer: 694","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*a + 5*a + 0*a)*(-9 + 4 - 3) + 4*a - 5*a + 3*a + 3 - 3 - 2*a + (2*a + 4 - 4)*(0 - 4 + 2) - a + 38 + 23 + 46 to the form s + w*a and give w.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sa when two letters picked without replacement from tracsrsrsssrb.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*l = 0. Suppose -p = 4*p + w - 23, p - 13 = -3*w. Suppose p*a + 0 = -4. Which is greater: a or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -2. Let i = 914 - 913.002. Let r = i - -0.002. What is the nearest to u in 0.5, r, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237*u - 476*u + 209 - 209 + 292*u + 3*u**3.\nAnswer: 3*u**3 + 53*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*s - 5*s + 3*s)*(0 + 3 - 4) + 10*s - 17*s + 40*s to i*s + y and give i.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ysr when three letters picked without replacement from urrgysye?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 11:06 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**3 - 413271*c**2 - 1965805 wrt c.\nAnswer: -3*c**2 - 826542*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(5\/8))**(-14\/5) assuming y is positive.\nAnswer: y**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(-20) - 6\/(-8). Let o = 38 + -122. Let t be o\/(-24) - 2\/(-4). Solve -u - a = -t*s, -5 = 5*u - 0*u - 2*s for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 674709 is divided by 224893.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/8*(-47 - 25). Does 12 divide (86\/4)\/(1001\/m + 8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of o**4\/12 + o**3 + 4*o**2 + 71*o. Factor q(u).\nAnswer: (u + 2)*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 2:12 AM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2693 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, 59, 90, 155, 266?\nAnswer: 435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 19 = 5. Let g = l - -20. Calculate the smallest common multiple of 10 and g.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b**0*b*b*b*b)\/b))\/b)**(2\/59)\/((b**(-1\/4)*b)\/(b\/(b*b\/b**(4\/5)))) assuming b is positive.\nAnswer: b**(-1241\/1180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3125659?\nAnswer: 3125659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011101111110111 - 100?\nAnswer: 1011101111110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r + 31. Let s(w) = -33*w - 27. Determine s(n(b)).\nAnswer: 33*b - 1050","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 11 = 2*u, 7489*u = -r + 7485*u + 3 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -366 (base 7) in base 4?\nAnswer: -3003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5*j + 660 = 0, 0*r + 3*r - 488 = -2*j. Let c(l) = -l**2 - 10*l - 19. Calculate the smallest common multiple of r and c(-3).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15 or 134\/9?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 w when three letters picked without replacement from {e: 2, i: 4, s: 2, w: 6, z: 1, k: 4}?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1\/8, -5 in descending order.\nAnswer: 1\/8, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 5 (c) 0 (d) -3\/149\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*c - r, 3*c - 23 = 3*r - 20. Sort -13, 3, 1, c.\nAnswer: -13, c, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 20*h**2 + 999*h - 999. Give i(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -130*p**2 - 128*p - 3. Determine j(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.43 + -0.03. Let l = -90 + 105.6. Let y = z - l. Round y to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -288 - -452. Let p = i + -82. Find the second derivative of -p - 18*b**5 - 6*b + 82 wrt b.\nAnswer: -360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -179 + 996. Does 14 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 176.2 - 175.9. What is the closest to -1 in b, -10, -5, 0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 15) to base 5\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 9. Suppose 2*n + q = 2*m - n, -5*n = 4*m - 65. What is the highest common factor of 50 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/3*p**3 - 1\/6*p**4 - 3*p + 0 + 7\/2*p**2 = 0. What is p?\nAnswer: -6, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69875003.\nAnswer: 11, 163, 38971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -252096 divided by 6.\nAnswer: -42016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -153, 1, -4, -4510, 4 in descending order.\nAnswer: 4, 1, -4, -153, -4510","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + n - 186. Let o be 2\/3 + (-68)\/n. Is 0 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19621*u**3 + 22*u**2 + 470*u?\nAnswer: -117726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -466 divided by 862?\nAnswer: -233\/431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -18*t - 156. Let m(k) = -8*k - 77. Determine 7*m(d) - 3*o(d).\nAnswer: -2*d - 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*f = -1339 + 511 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8906 is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 563 and -0.5?\nAnswer: -281.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71940547 to the nearest integer?\nAnswer: 8482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 10*q**2 + 2*q - 2. Calculate the remainder when w(-2) is divided by (1 + 3\/(-2))*-24.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6610, -6017, -5426, -4837, -4250, -3665, -3082?\nAnswer: -2501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 94*l*m + l - 420*m wrt l?\nAnswer: 94*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35 + o - 11 + 66 + (-2*o + 4*o - o)*(2 - 4 + 3) - 2 + 8 - 14*o - 10.\nAnswer: -12*o + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90\/(-16)*(-1568)\/7056.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1351 - -1346. Put -29, f, 1 in ascending order.\nAnswer: -29, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7273 - -7270.0062. Let s = -22 - -25. Let m = r + s. What is m rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 7*u. Let z(b) = b**2 - 7. Let m(w) = w**2 + 7*w - 8. Let o be m(-8). Let i be z(o). Let d be s(i). Is -5\/6 >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 2 + -1 - -14 - (446 + -459)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -520, -1036, -1564, -2110, -2680, -3280, -3916, -4594?\n\"Answer: -q**3 - 509*q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459 is divided by 413.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 238613 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -0*g + 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4 + 6*w**3 - 8*w.\nAnswer: 2*w*(w - 1)*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -c - 11*c + 4, 3*c - 12*k + 7 = -7*k for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*u - 1030 = -5*f + 104*u, u - 614 = -3*f. What is the least common multiple of 24 and f?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4157*o. Let l(t) = -7*t. What is l(i(z))?\nAnswer: -29099*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, e: 2, t: 1, i: 2}. Give prob of sequence iie.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -254*w**2 - 47*w**2 - 50*w**2 + 107*w**2 + 49*w**2.\nAnswer: -195*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -66*-2*(-1)\/(-4). Let i = h - 28. Solve -i*m = d, -3*d + 4*m - 14 = 5*m for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268124.823s in days?\nAnswer: 3.1032965625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 23*z - 14 = -24*z, -14 = -2*r - 3*z. Is r bigger than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vksp when four letters picked without replacement from {v: 1, y: 4, p: 1, s: 1, k: 1}.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2.85+1276\nAnswer: 1278.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 6 + 4)*(-1 + 4 - 1)*(-2*k - 3*k + 4*k + k**2).\nAnswer: -8*k**2 + 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -96.6 - -97. What is the third biggest value in d, 1, -1\/2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3364*o**3\/5 - 209496*o**2\/5 - 11520*o - 3968\/5 = 0. What is o?\nAnswer: -62, -4\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2808 and 9677772.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g + 7. Let r be n(5). Calculate the lowest common multiple of 4 and ((-8)\/12)\/((-2)\/r).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-14 + 8)*(-3 - -6)\/6 + 66270?\nAnswer: 3, 37, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 4*o - 1. Let i be a(-1). Find the third derivative of 125 - 12*s**i - 13*s**2 - 125 wrt s.\nAnswer: -288*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 426, 5, 2 in decreasing order.\nAnswer: 426, 5, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 148695 to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 41, 40 in decreasing order.\nAnswer: 41, 40, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*q + 3*q - q)*(7*q**2 - 5*q**2 + 2*q**2 + q) as l*q**3 + a + u*q + d*q**2 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 10*x**2 - x + 54. Calculate the least common multiple of 12 and h(10).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -40 and -155.687.\nAnswer: 6227.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 3*c. Calculate the least common multiple of w(4) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 992 = -335*z - 3698 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/149, -4, 1\/2.\nAnswer: -4, 7\/149, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*c = -78*c + 84. Let i(k) = -k**2 + 17*k - 31. Let q be i(c). Solve -6*t + 13 = -q for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -86*c*d - 20782*c + 52*d wrt d?\nAnswer: -86*c + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.92 + 6. Let m = w + -0.18. Let d be -3 + (-147)\/(-51) + (-111)\/357. Sort d, 1\/2, m.\nAnswer: d, m, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11110110000 (base 2) to base 14.\nAnswer: -a08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 32356 + 2?\nAnswer: 32360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from jzpjzjzzzjjjjjjjj?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 270 (base 8) to base 6.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -236*w - 6. Let q(b) = -311521*b - 7922. Calculate -7922*c(x) + 6*q(x).\nAnswer: 466*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 183881 a multiple of 691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -68, -42, 54, 244, 552?\nAnswer: 1002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a century in years?\nAnswer: 740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of s**5\/180 - s**4\/12 + s**3\/2 + 4*s**2. Solve d(t) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5220941*j**4 - 11*j**2 + 6525603 wrt j.\nAnswer: -125302584*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (18\/(-15))\/((-2)\/5). Is 2226\/35 + x\/(-5) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -804*k = -817*k - 117. Let g be (16\/(-6))\/(2\/18). Let i = k - g. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18331520.3 + -18331518.55999917. Let x = -1.74 + c. Round x to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 87274 - 51515. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 9*c = 3*y, 5*c - 5*y = 40. Suppose 0 = c*k + 6, -52 = -m - 3*m - 2*k. Calculate the remainder when 26 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 165 and 5555.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z**2 - 2*z. Let n(s) = 13*s**2 + 7*s. Let t be (-1*1)\/(8\/(-16)). Let l(r) = 3*r**2 + 29*r + 25. Let w be l(-9). Give t*n(k) + w*f(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 838871419.3 and 39.3.\nAnswer: 838871458.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9278, 9751, 10228, 10709, 11194, 11683, 12176?\nAnswer: 12673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 6 = 2*r - 10, 0 = r + 2*j - 9. Suppose y + 0*y = r. Solve 5*d = -y, -2*u + 2 = u - 5*d for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-406)\/(-49) + -8 + 8\/(-28)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 6708*q**3 + 14830*q**2 - 4*q. Let h(a) = -6720*a**3 - 14830*a**2 + 6*a. Let y(b) = -3*g(b) - 2*h(b). What is the third derivative of y(n) wrt n?\nAnswer: -40104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - x**2 - 3*x - 5. Let p be n(-2). Suppose -12*d = p*d - 1955. Does 19 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55443 and 4218.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -2 - 4) + 66 + (-16 + 14 - 7).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 87.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 1\/3 (c) -2\/3 (d) 5 (e) 2\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 + (-3)\/72*110. Let h(n) be the second derivative of -y*n**4 - 7*n + 0*n**3 + 1\/20*n**5 + 0*n**2 + 0. Find the third derivative of h(k) wrt k.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -312*z + 316*z - 23, -3*p + 15 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11767092 divided by -3?\nAnswer: 3922364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/27 + 13\/3. Suppose -10 = -0*p - 2*p - w*x, 0 = -x. Calculate the highest common factor of p and 115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) -1\/3 (c) 16 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(((sqrt(1008)*2 - sqrt(1008)) + -4 - 6*(-1 + sqrt(1008))) + 3 + 4*(sqrt(1008) - (sqrt(1008) - (1 + sqrt(1008))))*3))**2.\nAnswer: 2856*sqrt(7) + 49681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 8 + 7. Suppose 3*l = k - 12, -4 = -i*k + 2*l + 11. Solve 4*o + 6*g - 2*g + 4 = 0, -k*g = -o - 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15 * -0.2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -50 - 311?\nAnswer: -401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 - 7)*(-2 + 4 - 1)*(11*x + 34 - 34).\nAnswer: -110*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2bd5c2 + -3?\nAnswer: -2bd5c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, c: 5, h: 1, v: 3, x: 1}. Give prob of picking 1 x and 1 c.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/5)*j*j*j\/(j\/((j\/j**(1\/7))\/j)*j)*j)\/(j**(3\/7)*(j\/j**2)\/j))\/(j**1\/(j*j\/(((j**1*j)\/j*j)\/j)*j)*((j\/j**0*j*j*j)\/j*j)**18) assuming j is positive.\nAnswer: j**(-2372\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, c: 3, y: 2, z: 1, q: 1}. What is prob of picking 2 w and 1 q?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lddcdclcdd. What is prob of sequence clc?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46 + 46 - 11*p + p - 2*p + 2*p + (4 - 4 + 1)*(3*p - 2*p + p) - 5*p + 6*p - 2*p)*(-p**2 - 317 + 14*p + 155 + 159).\nAnswer: 9*p**3 - 126*p**2 + 27*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10958, 10974, 10992, 11012?\n\"Answer: k**2 + 13*k + 10944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19966439.\nAnswer: 19966439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 27 = -35*r + 20*r, 0 = 5*r + 3*x + 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/4 + (-940)\/16. Let x = -28 - b. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3232314203 (base 5) in base 13?\nAnswer: -15823aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-376)\/24)\/((11\/(-528))\/(10\/(-80)))?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -292145 and -5?\nAnswer: 292140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/8 - 2085\/(-556)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 12*a + 2. Let z be p(12). Let m(s) = 4 - 2 - z*s + 5. Let h be -4*((-4)\/8 - 1). Determine m(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6478580 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2610683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-2)\/(-72)*-1*(-44)\/(-198)?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 10*i**3 + 143*i**2 - 893*i - 33. Determine a(-19).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.15 + -3.55. What is the second smallest value in -12, 2\/15, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -8*z + 14. Which is smaller: z or 19\/12?\nAnswer: 19\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10904 is divided by 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 420\/47, 0, 4, 0.088?\nAnswer: 0.088","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4*g - 10 = 0, 4*g + 0 = 8. What is the units digit of (-1 + f)\/((-12)\/(-1356))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30113 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 + 28. Let i = 6 + s. Sort -2\/3, 0.2, i.\nAnswer: i, -2\/3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47026769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4*v - 1. Let c be b(1). Let m = c - 2. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19317 and 4858157.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k + 29 - 33 + k**2 + k. Let c = -6 - -13. Let o = c - 13. Determine m(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 7*t - 2. Let w = 2.1 - 3. Is t less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 512*c**3 + 1881*c**3 + 88*c**3.\nAnswer: 2481*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.94 - 1.84. Let v = 85.7 + -86. What is the closest to x in -0.5, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0369 - -4.9031. Let v = y - -0.06. Which is the nearest to 2? (a) v (b) -3\/4 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 16*u**2 + 15*u + 5. Let m be h(15). Suppose 5*f + 2*s - 65 = 89, m*f - 2*s = 146. What is the remainder when f is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.3413 rounded to one dp?\nAnswer: 28.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97989 is divided by 2727.\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -113*d**2 - 173*d wrt d.\nAnswer: -226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -933*a = -932*a - 7 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1098612*p**4 - 14*p**2 + 98724*p wrt p?\nAnswer: -26366688*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 1:35 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*y + 30 = -72*y for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h - 25 = -645. Suppose l + 4*d - h = 0, 0*l - 3*l - 3*d = -159. Let c be 21 - (-2*1)\/(-2). What is the highest common divisor of c and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 24?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -1366*o**4 + 1139238*o**3 + 2290545*o**2\/2 + 290161*o + 2505\/2 = 0. What is o?\nAnswer: -1\/2, -3\/683, 835","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29608488 divided by -11.\nAnswer: 29608488\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**3 - 3*d**2 + 1. Let a(z) = -z**2 + z + 1. Let t be a(0). Suppose 1 = j - t. Is 3 a factor of q(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1036, 2070, 3104, 4138, 5172, 6206?\n\"Answer: 1034*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 21555 + -630?\nAnswer: 20825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 276192 divided by 17262\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58564?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 14*r - 11*r + 29, -a = 2*r + 10 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 30 = -z + 5*z, -3*z = h - 17. Let u be (0 + 61 + h)\/(15\/2). Which is bigger: u or 8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2 + 0 = 0. Suppose s*j - x = 6, 5*j + 3*x - 14 - 12 = 0. Let c = -17604 + 17648. What is the greatest common factor of c and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1129*g + 1129*g - g**3 - 2 + 88*g**2.\nAnswer: -g**3 + 88*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fdrgfrsrsdfsrsfrrddf. Give prob of sequence rfd.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -v**2 + 3*v - 1486. Let q(l) = 4*l - 2 - 3*l + 0*l. Give -3*h(g) - 7*q(g).\nAnswer: -g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnjjjnnjjn. Give prob of sequence jn.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 17*m + 28. Let k be t(16). Suppose 8*u = k*u - 64. What is the lowest common multiple of 24 and u?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21485 is divided by 639.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -56063 (base 16) to base 14.\nAnswer: -925a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -13. Let x = -2\/17 + -12\/187. Which is the second smallest value? (a) s (b) 1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 15 + 3 = -4*y, 0 = -4*y - 8. Let w be (40 + -39)*5*r. Calculate the highest common factor of w and 250.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -3. Suppose -44 = -c*f - 4*y, f + 0*y - 2*y = 2. Calculate the smallest common multiple of f and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (6*3*sqrt(11)*2*-3 - ((sqrt(11) - (sqrt(891) + -2)**2) + 4*sqrt(22)\/sqrt(2))).\nAnswer: -149*sqrt(11) + 890","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1509.999988106 - -1510. What is t rounded to 7 dps?\nAnswer: 0.0000119","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/((-135)\/10)*3\/(-14)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-189)\/(-98)*14\/(-12)*1\/((-297)\/(-72))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -124 - -40. Calculate the smallest common multiple of 46 and 8 + (8\/60 - i\/45).\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -3.0098, 4, -0.1, 0.\nAnswer: -3.0098, -1, -0.1, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.06625 millennia to months.\nAnswer: 228795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8354 - -8345. Sort -3\/2, k, 0.6, 2 in descending order.\nAnswer: 2, 0.6, -3\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -75 - -77. What is the nearest to 0.1 in -1, -4, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -30, -7768 in ascending order.\nAnswer: -7768, -30, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tnkuknukkkk. What is prob of picking 1 n and 3 k?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1276*n + 25 = 3*l + 1281*n, -5 = -2*l - n for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3349877 + 62*w**2 + 3349877 - w**3 + 0*w**3 + (-5*w**2 + 3*w**2 + 4*w**2)*(3*w - 3*w - w) as i*w + l*w**3 + x*w**2 + j and give x.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.26 + 1.74. Which is bigger: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74*(7\/(-11*4\/44))\/(-14)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 155 and 610824.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -h**4\/12 + h**3\/2 + 13*h**2\/2 - 39*h. Calculate v(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4*v - 4. Let p(z) = 1. What is -a(g) - 3*p(g)?\nAnswer: -4*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a minute in seconds?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -9*x + 3. Let o be u(-3). Let n be (2\/o)\/((-6)\/1104). Let z = 38\/3 + n. Which is smaller: z or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 4*f - 38 = 0, 0 = 3*j + 187*f - 186*f + 16 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c. Let q(u) = -2*u**2 + 2991322*u - 2. Determine q(p(h)).\nAnswer: -8*h**2 + 5982644*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 699.9522ml in litres?\nAnswer: 0.6999522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*z**2 + 61*z**2 + 52*z**2 + 53*z**2 - 227*z**2 + 48*z**2.\nAnswer: 68*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7 + 4)\/((-3)\/4). Let c(d) = d**3 - 4*d**2 + 2*d - 11. Let l be c(5). Suppose -v*y = -y - l. Solve -4*q - 10 - y = -5*u, 6 = 3*u for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 537 - 534. Suppose 5*b = 4*m + 4, 5*m = -4*b + 2*m - s. Which is bigger: b or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + u - 6 = 2*u, -3*o + 3*u = 0. Suppose 3*a = -3*z + 66, 0*z = -o*z + 4*a + 32. Calculate the least common multiple of z and -3*-8*2\/3.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003591214 to five decimal places.\nAnswer: -0.00359","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, 100, 313, 592, 925?\nAnswer: 1300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.1492 kilograms to tonnes.\nAnswer: 0.0751492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 4, c: 16}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 9. Suppose 13 + 2 = l*y. Solve 0 = -5*w + 5*p + y, -2 = 4*w - 9*w + 4*p for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -229321448?\nAnswer: 229321445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/(-6))\/((-16)\/24). Suppose 24 = 4*h + o*k, k = 4*h - 15 + 3. Find the third derivative of h*g**3 - 11*g**2 + 10*g**2 - 9*g**2 wrt g.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 451*w. Let z(x) = 8*x**2 + 4*x - 16. Let v(l) = -7*l**2 - 3*l + 12. Let c(i) = -4*v(i) - 3*z(i). What is c(n(y))?\nAnswer: 813604*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 46*k**3 - 45*k**3 - 16*k**2 - 6 - 5 + 16*k. Let w be p(15). Let f(m) = m**3 - 3*m**2 - 6*m + 2. Determine f(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2438 + 2448 - 3*z - 9*z + (2*z - 2*z + z)*(5 - 1 - 3) in the form v + t*z and give t.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 155386 to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.057 take away -2527.891?\nAnswer: 2527.834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 368729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1052*b**4 + 26*b**3 + 473725*b?\nAnswer: 12624*b**2 + 156*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 10 = -30 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 33*v - 28. Suppose -9*h - 8 - v = 0. Which is greater: -1\/566 or h?\nAnswer: -1\/566","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -560263*h*n**3*t**2 - 2*n**3 + 457*n**2*t + 282*n*t**2 wrt h?\nAnswer: -560263*n**3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + ((sqrt(242) + -1 - sqrt(242))*-2 + -1*sqrt(242) + -1)**2 + (2*6*(sqrt(242) + -1)*5)**2).\nAnswer: -475332*sqrt(2) + 5250264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -2*v + 1700266, 20*v = 21*v - 4*s - 850097. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -5*q + 80911, -5*i + 125662 = 5*q + 44737. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 107 = 6*o. Find the common denominator of 2\/7 + (-75)\/o and -127\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -302, -216, 24, 496, 1278, 2448?\n\"Answer: 13*b**3 - b**2 - 2*b - 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116, 13, 152, 301?\nAnswer: 460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201101 (base 3) to base 2.\nAnswer: -1000001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c + 86. What is d(-24)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(338\/195)\/26.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -5.12. Let w = 77650 - 77649. What is the fourth smallest value in -1\/4, u, w, 0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -164aa8a + 9?\nAnswer: -164aa81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -1 + 7 + -3 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4675*p*w**3 + p*w + 183*p + 2*w**4 + w**3 - 2*w**2 wrt w.\nAnswer: 28050*p + 48*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c + 6. Let o be g(5). Suppose -4*z + 2*i - 30 = -5*z, 4*i - 20 = 0. Calculate the lowest common multiple of 9\/4 - (-1)\/o and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 5*b + 11. Let p be v(-6). What is the third derivative of -2*c**5 + 5*c**5 + c**2 + 8*c**2 - c**p wrt c?\nAnswer: 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that b**2\/4 - 27549609*b\/4 + 82648809\/2 = 0.\nAnswer: 6, 27549603","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t**2 + 38*t - 29. Suppose -9*j - 120 = -j. Let h be k(j). What is the greatest common divisor of h and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -538, -1873, -3498, -4891, -5530, -4893, -2458?\nAnswer: 2297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -7*f**6\/240 - 3*f**4\/4 - 2*f**3\/3 - 36*f**2 + 1. Let u(y) be the second derivative of g(y). Let k(m) = -m. Give k(u(q)).\nAnswer: 21*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 18 = 3*m, -2233*m + 2239*m - 23 = 2*r - 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9524 + 9525. Suppose 2*v + 0*b - 11 = 3*b, 1 = -v - 5*b. Let g = 0 - -5. Solve -g*u + 5*p + 25 = 0, -n = -2*u - v*p + 9 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + o. Let w(t) = -6*t**3 + 2*t**2 - 4*t - 1. Let p be 0 + 0 + (-1)\/1. Suppose 4*h - 3*h = 3*l + 9, 2*l - 4*h - 4 = 0. Give l*j(g) + p*w(g).\nAnswer: 2*g**3 - 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29 by 46758.\nAnswer: 29\/46758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 697, -2, -13 in decreasing order.\nAnswer: 697, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2602 (base 7) to base 5.\nAnswer: -12412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**3 - 50*i - 2*i**2 + 24*i + 20*i to r*i**2 + z*i**3 + q + k*i and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifteen quarters of a tonne?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.05056 - 3.34947. Let w = q - -3.4. What is w rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208*c + 217*c - 36 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43278?\nAnswer: 2, 3, 7213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 19*h - 18. Let l be i(18). Suppose 5*r + 18 = f, -f - 5*r - 22 = -l*f. Let k = 2 + f. Solve n - 5 = -z - 3, -2*z + 3*n - 6 = k for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1863, -1772, -1635, -1464, -1271, -1068, -867, -680?\nAnswer: -519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 2*w + 32169 = 32179, -3*t + 2*w + 14 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0)**35*(c**(-8)\/c)**(-1\/15) assuming c is positive.\nAnswer: c**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (6\/78)\/(1\/(-2))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2716393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/(-78))\/((-340)\/57528*(-9)\/(-15))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28986, 57978, 86970, 115956, 144930, 173886?\nAnswer: 202818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 1208*b + 10944. What is c(9)?\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -15 + -14 + 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24 - 21585.1405702.\nAnswer: -21561.1405702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*p - 59 = 40. Solve -p*d - d = 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 16, x: 4}?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-250)\/(-7) - (-8)\/28. Let a = b + -24. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*w + 0*w - 87 - 5*w + 0*w - w as p*w + b and give b.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of q**3\/3 - 43*q**2\/2 + 95*q + 1501. Give w(41).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(-7 + (-81)\/(-12))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -401735, -401672, -401609, -401546, -401483, -401420?\n\"Answer: 63*m - 401798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -54*l + 4. Let p(x) = -x. What is q(p(u))?\nAnswer: 54*u + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 9*a**3 + 10*a**2 - 28. Find the second derivative of h(s) wrt s.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m - 9. Let d be c(-14). Suppose -4*h + 218 = -h + d*r, -5*r + 66 = h. Calculate the remainder when h is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a microgram in nanograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62 + (3 + -2 - 1) - -1) + (115 - 105).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 1) + (481 - 578)\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -30983482202 and -5.\nAnswer: -30983482207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-14 - 1)\/(2\/(-6)) is divided by (-4096)\/(-320) + 1\/5.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 490167974 or 490167973?\nAnswer: 490167973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3 - 1 = 0. Sort 2, -5, k in ascending order.\nAnswer: -5, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -138, -168, -226, -318, -450?\nAnswer: -628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-3)*(-9)\/(-2). Let y = -25 - q. Let v = y - -61. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*r + 22*r + 109 + 23 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/1*-58*24\/8*(-17)\/51.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4816, -5013, -5210?\nAnswer: -5407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) - 3*sqrt(190))*1 + sqrt(190) - sqrt(190) - sqrt(190))\/((sqrt(10) - sqrt(250))*-4).\nAnswer: -3*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*w - 63*w**3 + 275*w**3 - 69*w**3 - 67*w**3 - 71*w**3.\nAnswer: 5*w**3 - 17*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.76 and -6300.\nAnswer: -6299.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/9 (b) -0.07 (c) -2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 8716 and 9448.\nAnswer: 18164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 5*u - 5*l - 57, -5*u - 2*l = -99. Let s be u\/(-6) + 3\/(-6). Let c = 30 + s. Does 11 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4101975 by 7725.\nAnswer: -531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 1840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 31*q**3 - 339*q**2 - 2*q - 247. Determine c(11).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 0.4, 0.02, 2\/15, 5\/6, -0.5?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 834 is divided by 826.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/84 and 95\/104174?\nAnswer: 625044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**3 - 6*l**2 - 5*l - 1. Suppose 2*u = -v + 16, -2*v + 3*u + 0*u - 3 = 0. Let r(t) = 4*t**3 + 11*t**2 + 9*t + 2. Determine v*r(m) + 11*a(m).\nAnswer: 2*m**3 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3*l + 148, 0*l = -t + 5*l + 88. Suppose -m + 45 = 2*i, 6*m + 40 = 3*i + 2*m. What is the remainder when i is divided by (t - 64)\/(4\/14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/853811 and 13\/2830?\nAnswer: 8538110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (88\/364)\/((-10)\/(-130)).\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -6022*n - 2281*n - 2139*n + 1361*n - 141*n as u*n + a and give u.\nAnswer: -9222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(165)\/sqrt(5) - sqrt(33))*-5)\/(-1*sqrt(44)\/sqrt(4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 2*k**2 - 1. Let s(n) = -5*n**3 + 17*n**2 + 2*n - 2. Determine -4*p(y) + s(y).\nAnswer: -y**3 + 9*y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 + 55. Let s = -16 + k. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -85656248.\nAnswer: 5\/85656248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 166905 to the power of 1\/2, to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 862 + 170088204960?\nAnswer: 170088205822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmmrvvmmzmkmz. Give prob of picking 2 z.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004406682 rounded to 6 decimal places?\nAnswer: -0.000441","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, c: 5, h: 3, q: 1}. What is prob of picking 2 r and 1 q?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -21, -2\/15, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 95.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((49\/70)\/(-7)). Suppose c*u - 144 = 16. Calculate the least common multiple of (-2)\/((-1)\/5 + 0) and u.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -y**4\/12 - 4*y**2. What is the remainder when 34 is divided by l(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x + 4*j + 32, x - 4*j = 26 + 6 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -9*f**2 - 77 + 39 + 38. Let k(c) be the third derivative of -13*c**5\/60 - 52*c**2 + 14. Calculate k(h(w)).\nAnswer: -1053*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133 + 2312000103?\nAnswer: 2311333310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15804 and 31027203.\nAnswer: 3951","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/84*3*8\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 374*m - 13386. Give v(-35).\nAnswer: 929","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*m = -10*m - 184. Suppose -o + m*o = -14. Let f be 6\/(-10)*17\/3. Is f at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.7 * 574599\nAnswer: 976818.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/18)\/(i\/i**(1\/5))*(i**(4\/11)*i)\/i*i**3*i assuming i is positive.\nAnswer: i**(3473\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 23*m**2. Let z(v) = 3*v**2 - 7. Let l(p) = 2*p**2 - 5. Let d(s) = 7*l(s) - 5*z(s). Determine d(n(i)).\nAnswer: -529*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 50*f + 60. Calculate g(-49).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 17 = 3*i, 4*p = 9*p + 70 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1210\/165*(-18)\/12.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - u + 505. Let c be i(0). What is the common denominator of -99\/8 and c\/(-28)*(-18)\/(-45)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37088237.8776 plus -2?\nAnswer: 37088235.8776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4478104?\nAnswer: 2, 131, 4273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2*k + 21, 2*k + 2*k = 0. Let j = 12 + c. Let u be (12 - 12)*2\/2. Solve 4*d - 20 = -y, 4*d - j*y + 4 + 0 = u for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56578 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4*t - 1602 = 0, 5*r + 2*t = t + 2687. Suppose 3*m - r = -5*p, -2*m - 101 - 17 = -p. Calculate the highest common divisor of 44 and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 14) to base 3.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -87, -93, -109, -135, -171, -217, -273?\n\"Answer: -5*v**2 + 9*v - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (62\/(-6))\/(2\/(-6)). Suppose -5*j - 1 + g = 0. Solve -3*s - j*s**2 - 4 - s**3 + 3*s**2 + 3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -119.5 + -16.5. Let j = -134 - n. Which is smaller: j or -1\/35?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 89149432*b**2 + 65*b + 777065 wrt b.\nAnswer: 178298864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15677 + -6985. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -1441*z**4\/12 - 105*z**3\/2 + 1354*z. Find the second derivative of x(o) wrt o.\nAnswer: -2882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38066 is divided by 334.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -4, -21, 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -112 - -148. Let i be (-15 + -2 + 1)*h\/(-24). What is the greatest common factor of 8 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-2 - -4) + (3 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 290 - 289. Find the second derivative of -4*n**2 + 15*n**2 - 4*n**2 - m + 1 - 231*n wrt n.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 343607 = -9*h + 997907. Suppose -u = -4*v + h - 195902, -5*u + 92410 = -3*v. What is v rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 at most as big as 2661.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 2*n + 268. Let o(y) = -3*y - y + 2*y - y**2 + y + 17. What is the remainder when n is divided by o(0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n - 6. Let s(b) = 7*b - 4. Let j(t) = -t + 1. Let m(x) = -6*j(x) - s(x). Let w be m(-1). Let d(h) = 1. Calculate w*y(q) - 6*d(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 2082 and 2081 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (56\/(-98) + 3\/(-7)). Solve k*j = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 72.9 - 72.8. Which is the closest to r? (a) 0.5 (b) -9 (c) -1\/6 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 6*d - 224. Let q = -25 + d. Let a = 25 + q. What is the highest common factor of a and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -9. Sort -5, h, 5 in increasing order.\nAnswer: h, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 11:29 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*a + i, 5*a - 2*i = -0*i + 14. Factor 6*x**4 - 6*x + 6*x**3 + 2*x**2 - 5*x**a - 2*x**4 - x**4.\nAnswer: 3*x*(x - 1)*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*f - 50 = 6, 0 = -x - 4*f + 12. Solve 0 = 2*o - 3*o - x*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g**2 - 4*g + 179. Let f(z) = -3*z**2 + 4*z - 179. Let l(r) = -5*f(r) - 4*t(r). What is the derivative of l(o) wrt o?\nAnswer: 6*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1716*d + 2958*d + 395613 = 1173*d for d.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -5*n**3 + 26*n**2 + 9*n + 71. Is v(-27) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 18 = 2*n. Let b be (1 - n)*2 - 14\/(-2). Suppose -4*h - 5*u = 0, 0 = 4*h - 3*h + b*u. Solve -3*l + 7 + 5 = h for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -3\/966680?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 - 31. Suppose 3*q = f*h - 16, q + 5*h - 26 = 5*q. Let l be -2 - (132\/69 + q). Which is the third smallest value? (a) 5 (b) l (c) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 d, and 1 n when three letters picked without replacement from {j: 1, v: 3, d: 3, h: 2, n: 1}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10371365 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 41*m**3 - 9*m - 27. Let z(g) = 21*g**3 - 4*g - 14. Suppose -k + 29 = -4*r, -24 - 1 = 5*r. Let i(s) = k*z(s) - 4*c(s). Differentiate i(o) wrt o.\nAnswer: 75*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -1 - -5) + -3. Let d(v) = v**3 - 6*v - 1. Let y be d(f). Suppose 9*n - 44 + y = 0. Solve -u - n = 1 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -v, -9*c + 920 = -4*c - 3*v. Suppose 0 = 5*k + 3*h - 2578, -k + 707 - c = -2*h. Suppose -q = q - k. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -337635156 divided by 4\nAnswer: -84408789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2263537 (base 8) in base 16?\nAnswer: 9675f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 6*m + 2*m - 360, -4*y = 4*m - 276. Let w be (-4)\/(-6) + (-4)\/6. Let o = y - w. 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(w) = 10*w - 142. Let l be x(15). Suppose 9*o = 7*o - l. Sort -5, o, 9 in decreasing order.\nAnswer: 9, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -2*i**6\/25 + 429*i**5\/100 - 276*i**4\/5 + 143*i**3\/2 + 75*i**2 + 336*i + 1. Determine l, given that k(l) = 0.\nAnswer: -1\/4, 1, 10, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*y + y - 17*y - 26*y**2.\nAnswer: -26*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 4*m - 108, -m = -4*c - 0*m + 189. What is the remainder when c is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 659018 divided by -331.\nAnswer: -659018\/331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 47. What is the remainder when o is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 314 + -344 + (4 - (3 + -5)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -39, -82, -125, -168?\n\"Answer: -43*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 815b0 - -2?\nAnswer: 815b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (417 - 430) + 51 + -7\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.014366 rounded to 4 dps?\nAnswer: -0.0144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -1 - (1 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -214 + 130. Let g = t + 91. Solve -13 = -3*z - w, 0 = -2*z - z + 5*w + g for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 4964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - n + 1, 4*o + n - 4 = -n. Let r = -47 - -46.5. Which is the nearest to o? (a) 0.4 (b) r (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 34*j + 210. Calculate r(-37).\nAnswer: -1048","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/(-270) - (1 - (-137)\/(-27)). Solve -8*s - 60 = -o for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 237628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-324))\/(23\/530334*21) + 14\/(-6)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hc when two letters picked without replacement from dcvwllhddcddddd.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 5178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -9*q**5 - 735*q**4\/4 + 2500*q**3\/3 + 2130*q**2 + 1520*q + 2267. Suppose j(h) = 0. Calculate h.\nAnswer: -19, -2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5080 = -4*z + 2*o, -5*z - 5*o + 477 = -5873. Suppose 20*a - z = 15*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oloivvvolookvkvvkkiv. What is prob of sequence kov?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/173670 and -34\/75.\nAnswer: 868350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5499?\nAnswer: 3, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 25*d + 51. Let g be a(-23). Solve -2*z - g*o + 12 = 0, 0*z - 3*o = 2*z - 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 1107*v + 5057941. Is i(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -h + 5*h. Let g be 0*(28\/(-16) - h). Suppose -t + 5 + 8 = g. What are the prime factors of t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 - -35. Suppose -3*g - 6*p = -k*p + 6, -3*p + 3 = g. What is the units digit of 2 + (g - -3 - -77)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnlllnnnllllll. Give prob of sequence nnl.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a**3 + 7*a**2 - 5*a. Let t(z) = 5*z**3 - 8*z**2 + 6*z - 1. Determine -6*c(d) - 5*t(d).\nAnswer: -d**3 - 2*d**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2008794 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 1\/95*a**5 + 0*a**2 - 2 + 76*a + 8\/285*a**6 - 1\/114*a**4 + 0*a**3. Factor d(l).\nAnswer: 2*l**2*(2*l + 1)*(4*l - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5025697 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 4*f**2 + 9*f + 3. Let j be m(-6). Let c be 6\/18 + 251\/3. Calculate the highest common divisor of c and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4*p - 36, -3*l + 3*p + 52 = -2*p. Suppose 0 = -4*r + 4*f + 10 + l, -5*f = 2*r - 26. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.099 * 0.0244.\nAnswer: -0.0024156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2200 divided by 50?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89531, 97383, 105233, 113081, 120927?\nAnswer: 128771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30652037?\nAnswer: 13, 17, 47, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62, 127, 192, 257?\nAnswer: 322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*y)*(-7 + 9 + 9).\nAnswer: 22*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**1)**(-1\/21)\/(k*k**(-1\/2)*k*k**1))**18)**(-28) assuming k is positive.\nAnswer: k**1308","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 78 + 38. Let u = f + 58. What are the prime factors of u?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r**3 - r**2 - r + 1. Let z be m(1). Let o(q) = -3*q + 0 + 2 + q**3 + 9*q**2 + 0*q**z + 0*q. Does 19 divide o(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 140 = -5*f, f = 5*z + 33 + 7. What is the lowest common multiple of f and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 199712304 and 2772?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288 is divided by -7 + (5 + -18)*-8?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2275 + -2264. Let n(j) = -j**2 + 9*j + 2. Calculate the remainder when n(6) is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 188 divided by -2\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/8 and 121\/216?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*h = 674, 0 = o - 5*h + 2*h - 345. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 34*m + 17 = 38*m, -4*i = -2*m + 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2135 + (6\/(-12))\/((-1)\/(-4)).\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 572 divide 1063822188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.5, -70027, 2\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8 - 26 - 6*a**2 - 2 wrt a.\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1720 in -6, 0, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 11*f = 12*f + 9, 4*o + 8 = -3*f. Put -5, -1, o, 4 in decreasing order.\nAnswer: 4, o, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-21)\/(-14) + (-250)\/(-4). Let i(p) = -58*p + 1 + s*p + p**2 - 13. Let v be i(8). What is the greatest common factor of 20 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3893*a**4 + a**3 + 13*a**2 - 246358*a.\nAnswer: 46716*a**2 + 6*a + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuudduuuuuuud. Give prob of sequence uud.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a + 1385 = -5*b + 4*a, 0 = -a + 1. Let n = b - -5840\/21. What is the second biggest value in 4\/7, -3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 517.1876 litres?\nAnswer: 517187.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.4071088 times 18\nAnswer: 7.3279584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 5:02 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 12*k + k**3 - 24 - 2*k**3 + 2*k**3 + 15*k**2 + 4. Let y be p(-14). Suppose -y = -o + 6. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001532176971 to six dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 438*d**2*o**3 + 3270*d**2*o**2 + 141*d**2 - 1798*d*o**4 + 3*o**3 wrt o?\nAnswer: 2628*d**2 - 43152*d*o + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 + 33.4. Let j = -6 + a. Let f = j - 0.3. What is the smallest value in -2\/5, f, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-6)*j*j)\/(j\/j**0))**(2\/73) assuming j is positive.\nAnswer: j**(-10\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (-6)\/6*-2. Let g(i) = -5*i + 3. Let b(q) = -q + 1. Give a*g(n) + 4*b(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -15148 - 109.22\nAnswer: -15257.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(2\/7)*i*i)*i*i)\/i**(3\/8))\/((i*i**(1\/3)\/i)\/i*i*i**6*i)*((i\/(i\/(i**(-1\/6)\/i)*i))**(-15\/7))**8 assuming i is positive.\nAnswer: i**(5065\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -236339*n**2 - 523283*n.\nAnswer: -472678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 481?\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -41945*4470\nAnswer: -187494150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 70000 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.93374 milligrams to tonnes.\nAnswer: 0.00000009593374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -46*r + 6. Is 3 a factor of i(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 28 - 5 = -2*n, 4*k + 20 = 0. Let r = -13 + 15. Suppose -2*q + 27 = 3*s + 8, 0 = r*s - 10. Solve q*b - b = -n for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*p**3 - 1585 + 1585.\nAnswer: 16*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.167 and -0.336?\nAnswer: 0.728112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-37 - -29 - 2*-3) + 4. Solve 0 = -i*z + 7*z + v + 3, 0 = -4*z + 5*v - 14 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2093734 and 1.25?\nAnswer: -0.26171675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 2*c = 0, 7*q + 3307 = 3*c + 3273 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/52 or 49?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2786 or 2785?\nAnswer: 2785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 13c?\nAnswer: 13c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (207\/(-30) - -6)\/(12\/16). What is the closest to -6.5 in -3, -0.1, 1\/4, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 76 + (1\/4)\/(4\/16). Let f = 17 + -10. Calculate the highest common divisor of c and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -251 (base 9) to base 11.\nAnswer: -17a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -62.71 - 1.29. Let l = v + 15. Let r = -49.96 - l. What is r rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4, 198632 in ascending order.\nAnswer: -4, 6, 198632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -399*y**3 + 63. Let a(p) = -25*p**3 + 4. Calculate -63*a(k) + 4*t(k).\nAnswer: -21*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -106733, -213480, -320239, -427016, -533817, -640648, -747515?\n\"Answer: -j**3 - 106740*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1667 (base 15) to base 12\nAnswer: 295a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0)**7\/(z**(2\/3)\/(z*z*z*z*z*z*z\/z**(1\/3)*z)) assuming z is positive.\nAnswer: z**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 998599 is divided by 332851?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*v - 3*f, 3*v - 3*f = -13 - 2. Suppose 4*b = 13*b + 207. Let c = b - -25. Solve -c*h - h + 3 = v for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5312 = -4*t + 2*k, -2120 = -2*t + 2*k. Let s be 4\/(-6)*(-764190)\/(-480). Let h = t + s. What is the common denominator of 45\/22 and h?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -38326\/11, 0.1, 14\/5 in ascending order.\nAnswer: -38326\/11, 0.1, 1, 14\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2211*a - 90 = -2166*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 443.6487l in millilitres?\nAnswer: 443648.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 694 + -681. Let p(v) = 6 + l - v**3 - 7*v - 24 + 7*v**2. Let k = -1 + 7. What is p(k)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/8, -615125, -4?\nAnswer: -615125","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i**(-2\/13)*i)*i)\/i**(-7\/4))\/(i*(i\/((i\/(i*i\/(i**(-27)*i*i))*i*i)\/i*i))\/i*i*(i\/(i\/(i*(i\/((i\/i**(-29)*i)\/i))\/i)))\/i) assuming i is positive.\nAnswer: i**(411\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 43820 divided by -5\nAnswer: -8764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 g when two letters picked without replacement from ksggegkgkggkwxks?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s - 273 = 56. Let p = -33 - s. What is the third derivative of 5*m**6 - 20*m**3 + 20*m**3 + 3*m**2 + p*m**2 wrt m?\nAnswer: 600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -37 and -803.\nAnswer: 29711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37988 - -37347. Which is the closest to 0? (a) q (b) -2\/11 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1576938?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.071 rounded to zero decimal places?\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40*i**3*r**3 - 236*i**2*r**2 + i*r**3 wrt i.\nAnswer: 240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/7)\/((-4)\/28).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of 49*b**6\/10 - b**3\/3 - 145*b**2 + 490*b. Differentiate l(z) wrt z.\nAnswer: 588*z**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -29, -2, 10502 in ascending order.\nAnswer: -29, -19, -2, 10502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 501*c - 430?\nAnswer: 501","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 124\/55?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 449396 to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1185\/(-1027)*((-8)\/(-12)*-6 - 44\/(-10))\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/11 + 85*n**2\/11 - 1399*n\/11 + 585.\nAnswer: -(n - 65)*(n - 11)*(n - 9)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -54802 - -11466?\nAnswer: -43325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17663043 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.3 + -0.3. Suppose 3*l - 19 = -5*h, h = -3*l - 10 + 9. Let d be (62\/620)\/(10\/(-4) - l). Which is the smallest value? (a) d (b) -1\/30 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239 = 34*p + 33 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -276 - -279.99. Let j = -0.21 - -0.2. Let h = l - j. Sort h, 3, 5 in increasing order.\nAnswer: 3, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1190, 2669, 4438, 6503, 8870, 11545?\nAnswer: 14534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5971?\nAnswer: 7, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 - 166*k. Let d(f) be the third derivative of -f**4\/24 - 381*f**2. Determine y(d(t)).\nAnswer: 2*t**2 + 166*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -2. Let m be -1*i*15\/(-10). Suppose j - 5*f + 16 = 0, m*j + 3*f - 33 = 4*j. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -74.89 + 77.89. Sort 0.07, 3\/2, 75, 2, k in increasing order.\nAnswer: 0.07, 3\/2, 2, k, 75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v - 1. Let f be g(1). Suppose f + 2 = 2*q. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 - 6. Let u(c) = c**2 + 4 + h*c + 11*c**2 - c**3 - 3*c**2. What is the hundreds digit of u(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t**2 - 14*t + 17. What is the tens digit of r(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13186118096\/2587961 + 6\/152233. Let o = b - -5097. Let m = o - -1009\/34. Calculate the common denominator of -8\/3 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3081.\nAnswer: 3, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 10:42 AM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of g**5\/20 - 5*g**4\/12 + g**3\/2 - g**2 + 3*g. Suppose 5 = -x, -4*x - 7 = 4*a - 3. Determine d(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*o - 5*o + 2*o)*(3*o**3 + 98132*o - 98200*o + 1 - 1) to n*o**2 + v + c*o + t*o**3 + w*o**4 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of (1881\/(-6))\/(21\/(-56))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**3\/3 - 471*z**2 - 166616*z - 498436\/3 = 0. Calculate z.\nAnswer: -706, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.05, 7, -5, 1.005?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -6*d**2 - d**2 + 0*d**2 + 2*d**2. Let f(h) = 60*h. Calculate a(f(w)).\nAnswer: -18000*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1850 (base 9) to base 7.\nAnswer: 4101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -19*j**2\/2 + 5. What is i(1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -30875, -123508, -277897, -494042, -771943, -1111600, -1513013?\n\"Answer: -30878*c**2 + c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b + 4*b - b + (3*b - b - 4*b)*(-3 + 5 - 1) + 0*b + 5*b - 2*b)*(175*b**2 + 4*b - 177*b**2 - 2*b**3 - 14*b).\nAnswer: 2*b**4 + 2*b**3 + 10*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -34, -392, 1\/4, -1\/6, -0.08?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 7. Suppose -3*p = -m*o - 15, 5*o + 0*o + 16 = p. Solve -p + 5 = 4*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1371060 and 1043529?\nAnswer: 187835220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73009614 divided by -24336538.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -35, -71, -107?\n\"Answer: -36*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fi when two letters picked without replacement from xwfbiisbsfxx.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -1342*y**3 - 10*y**2 + y + 5. Let v(z) = 2685*z**3 + 22*z**2 - 2*z - 11. Determine -11*n(o) - 5*v(o).\nAnswer: 1337*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5ec (base 15) in base 4?\nAnswer: -111003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 71200463?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y - 3, 14*u = 18*u - 3*y - 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 666 + -5?\nAnswer: 661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13574500 rounded to the nearest 100000?\nAnswer: 13600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(325) + -2)**2 + sqrt(325) - sqrt(325).\nAnswer: -987 + 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8601, -17241, -25855, -34431, -42957, -51421?\nAnswer: -59811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1302 and 4872?\nAnswer: 151032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.3, -2, 2\/9, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18397729*o**5 - o**3*z + 2591*o*z - 3*o - z - 1556 wrt o?\nAnswer: -367954580*o**3 - 6*o*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 10*n**2 - 1502*n - 223. What is y(-44)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35 + 35.053. Let c = t - 0.052926. Round c to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2552256 and 26586.\nAnswer: 2552256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 481710 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z**3 - 1343*z**2 + 36415*z - 164. Calculate y(238).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4 + 0 - 3 + 5 + (0 + 2 - 1)*(1 - 3 + 4) + 0 + 3 - 1)*(18*z + 13*z - 10*z).\nAnswer: 168*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppiii. What is prob of sequence pp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 698*c - 699*c + 25 = 0. Solve 34 = g - 5*a + 9, 5*g + 5*a = -c for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**2 - 92*v + 112. Let c be q(-46). Calculate the greatest common divisor of c and 308.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fcefz. What is prob of picking 1 z and 1 f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that q**4\/3 + 207*q**3 + 12578*q**2\/3 - 4400*q = 0.\nAnswer: -600, -22, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**4)\/((k\/(k*k**(-5\/3)*k))\/k*k))\/(k**13\/(k\/k**21)) assuming k is positive.\nAnswer: k**(-110\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.19088 rounded to zero decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -491574 divided by 6?\nAnswer: -81929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 542*k**3 - 3*k**2 + 10*k - 8. Is 81 a factor of s(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 10:59 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -163, -323, -481, -637, -791?\n\"Answer: t**2 - 163*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1974*k - 2361*k + 4341*k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = q + 157 - 17, 2*a - 5*q = 280. Is a a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22531 - 22661 = -10*t for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express a**2 + 60*a**3 - 35*a**3 - 28*a**3 + 1 + 0*a**4 - a**4 as y*a**2 + g*a + i*a**3 + v*a**4 + j and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 366525, 366515, 366499, 366477?\n\"Answer: -3*k**2 - k + 366529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22520, 90118, 202786, 360524, 563332, 811210, 1104158?\nAnswer: 1442176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -107*i**4 - 264*i**3 - 41106*i**2 - 13*i - 2 wrt i?\nAnswer: -2568*i - 1584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - l + 10 + 70 = 0, 3*l - 120 = -3*f. Let d be ((-2)\/(-4))\/((-2)\/f). Calculate the smallest common multiple of d*2*1\/(-2) and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven quarters of a day?\nAnswer: 3960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g - 2*g - g**2 + (2 - 4 + 3)*(1966*g**2 - 4293*g**2 + 1895*g**2).\nAnswer: -433*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**3 + 16*k**2 + 5*k - 41. Let f be z(8). Let n = 12 + -8. Suppose -4 = -4*h - 2*l, -4*h + 0*h = l - n. What is the closest to f in 9, h, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 8.563524 months?\nAnswer: 0.00713627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102853452 divided by 1.\nAnswer: 102853452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, a: 2, f: 2}. What is prob of picking 2 i?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -29759, -59514, -89271, -119030, -148791?\n\"Answer: -j**2 - 29752*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 33201?\nAnswer: -33200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**3 - 1206*k**2 = 0.\nAnswer: -1206, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -14941 (base 13) in base 16?\nAnswer: -980b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 - 13*a - 3. Let i(l) = l**2 - 6*l - 1. Let h(g) = 13*i(g) - 6*p(g). Let s(x) = -2*x. Calculate h(s(n)).\nAnswer: 4*n**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 653*o. Let d(m) = -15*m + 5. Calculate g(d(u)).\nAnswer: -9795*u + 3265","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52612.99 years to months.\nAnswer: 631355.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5715, -5708, -5699, -5688, -5675?\n\"Answer: s**2 + 4*s - 5720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 401.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 753 + -748. Solve 12*c - 4 = 7*c + 2*a, 0 = v*c + 5*a + 10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccccccyccc. What is prob of sequence yc?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w**2 + 251*w - 4387. Determine i(21).\nAnswer: -439","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - 3*l + 6. Let b be z(-5). Let t = -2844 - -2846.3. What is the second biggest value in 0.2, b, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505568867 to the power of 1\/3, to the nearest integer?\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -63690 divided by -965?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -204*r. Let c(k) = 69*k**2. What is i(c(h))?\nAnswer: -14076*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + (sqrt(78) - (sqrt(78) - 3*sqrt(78) - sqrt(78) - sqrt(78))))*-4)\/(1*-2*sqrt(6)) + -2.\nAnswer: -2 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -5*u + 14 + 32, d = -u + 20. Calculate the remainder when 53 is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 2. Let c = f - -9. Let t(a) = a**2 - a. Let y(z) = -3*z**2 + 6*z. Let k(l) = c*t(l) + y(l). What is the second derivative of k(x) wrt x?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/12379 - 1423563\/136169. Is w >= 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -6706?\nAnswer: -6704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 4*v + 12, 0 = -5*c - v + 96. Suppose -7*q + 6*q - 3*j = 18, c = -4*j. Calculate the lowest common multiple of 8 and -1 + 10 + (-3)\/q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 17 + 3*2\/(-3). Let n = 1231 + -1219. Suppose p*t - 102 = n*t. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95815496 divided by -2471.\nAnswer: 38776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 9380 divide 3126879280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-4))\/(1\/6). Let r = -6 + 11. Let z be r\/21 + 1\/x. Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -0*h + 4*h - 8, -5*h - 17 = 4*q for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 3*h - 23. Let r be l(-4). Solve 3*j = -r*m + 37, 2*m + 3*m - 33 = -2*j for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 57 = -i, -x = -0*x - i - 15. Suppose -4*c + 208 = -3*w, 0 = -5*c + 3*w + w + 260. What is the remainder when c is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (2 - (-9)\/(-6)). What is the second biggest value in v, -0.2, 3\/7, 4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*h - 2*n + 21, 2*h + 2*n - 16 = 0. Let f(u) = u**3 + 18*u**2 + 16*u - 13. Let o be f(-17). Sort o, -1, h.\nAnswer: -1, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*q**2 - 3*q**2 + 31*q**2 + 6*q**5 wrt q?\nAnswer: 360*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5973 is divided by 364?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -a34b7?\nAnswer: a34bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-44)\/88)\/(((-2)\/8)\/(1\/2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-9 - -1) + (101 - 157) + 54 + -39?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide (((-113204)\/39)\/(-7))\/((-1)\/(-75))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u + 7*u**2 - 3*u**2 - u**3 + u**2 - 7. Let t be v(5). Is 14 a factor of ((-25)\/t)\/((-1)\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*y + 24*y**3 - 9*y**3 + 49*y + 57*y**3 - 22*y.\nAnswer: 72*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -1824*u + 8438. Give r(5).\nAnswer: -682","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7*(-9)\/(-21))\/((-15)\/55*1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -3515.4236743?\nAnswer: 3512.4236743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2.8*-311866.33\nAnswer: 873225.724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 813, 749, 643, 507, 353, 193, 39?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -29 + 23 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u - 1300 = 2*u. Let z = 429 + u. Is 36 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 26, -1, -2, -5 in ascending order.\nAnswer: -5, -2, -1, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 19380 divided by -4\nAnswer: -4845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 301 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -476, -466, -450, -428, -400?\n\"Answer: 3*w**2 + w - 480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.78608 nanometers to micrometers.\nAnswer: 0.08278608","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p - 52. Let t(r) = -r + 17. Let h(q) = 11*t(q) + 4*v(q). Let x = -584 - -576. Let w be h(x). Solve -k = 2*k - w for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(2100)*-1 + 1*sqrt(189))\/(4*(sqrt(63) - -1*sqrt(63))).\nAnswer: 7*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -197 - -291. What is the remainder when k is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -53*y**4 - 5*y**2 - 3*y - 22. Let n(s) = -106*s**4 - 9*s**2 - 5*s - 43. Let v(a) = 3*n(a) - 5*z(a). Find the third derivative of v(t) wrt t.\nAnswer: -1272*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 397 - 377. Let -122*o**4 + 5*o**2 + 72*o - 10*o**2 + 38*o**3 + 119*o**4 - y - 82*o**2 = 0. Calculate o.\nAnswer: 2\/3, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170 + 6 = -16*v - 20 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + l + 2)*(-l**3 + 4*l**3 + 3*l**3) + 3*l**4 - 2*l**4 + 2*l**4 + (0*l**2 - 3*l**2 + 4*l**2)*(2*l**2 + 0*l**2 - l**2).\nAnswer: 10*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -812 - -815. Suppose -3*o + 68 = -2*w - 0*w, 3*w = -a*o + 78. Calculate the greatest common factor of 33 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 - 8518 - 8543 + 17061.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.36 - 0.14. Sort 0.2, -3, h in descending order.\nAnswer: 0.2, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260 is divided by 160?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 3*h - 5*h)*(0*h + 6*h - 5*h) - 39208 + 42*h**2 + 39292 - 59*h**2.\nAnswer: -19*h**2 + 84","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6992 - -3914. Which is smaller: -3077 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75, 319, 721, 1275, 1975, 2815, 3789?\nAnswer: 4891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.4101173 - 942.346.\nAnswer: -943.7561173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*l = 60*l + 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -656704, -1313410, -1970120, -2626834, -3283552, -3940274?\n\"Answer: -2*i**2 - 656700*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + sqrt(65) + sqrt(65) + -5*sqrt(65)*1 - sqrt(65))\/(sqrt(180)*-2) + (-1 + sqrt(117) + 1*sqrt(117))**2 + -2*(1 + sqrt(637)).\nAnswer: -103*sqrt(13)\/4 + 467","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 3*d**2 - d - 1. Let w be c(-3). What is the first derivative of 1 - 15*y + y**w + 15*y wrt y?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(19 - 16 - (-20)\/(-6))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 71*z**2 - 272*z + 269. Let g be a(67). Sort g, 0, -1391, -4, -3 in descending order.\nAnswer: g, 0, -3, -4, -1391","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-58)\/(-36) - (-367)\/(-3303)) - 80\/(-21)?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-2)*m**(2\/3))**(16\/3)\/((m**1*m*m)**42*m**2\/m*m**(-1\/4)*m) assuming m is positive.\nAnswer: m**(-3895\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zze when three letters picked without replacement from tttvzeelvtztevevzhz.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -148 < -162574\/1095?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 14*q = -4*w + 26674, 0 = 7*w + 2*q - 46679. Is 57 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.61 + 0.61. Let c = -12 + 11. What is the nearest to -2\/11 in n, c, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.1 - 1. Let y = 0.039 + -0.016. Let g = y + 0.177. What is the closest to u in g, -2\/23, 2\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14365069 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*z + 1525 = 2552 + 3077 for z.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 8*x - 5. Suppose 3*u + 24 = 8*u - t, 0 = -4*u + 2*t + 18. Calculate the smallest common multiple of b(u) and (9\/(-12))\/(48\/(-640)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 + -24. Let g be t\/((42\/9)\/7). Suppose 0 = k - 2, q - g*k = -4*q + 9. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25? (a) 0.4 (b) 4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -67 + 26. Let y = g - -285\/7. Let s be (-2)\/(-6) - 32\/6. Which is the closest to -1? (a) s (b) y (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*d + 6*d. Suppose 0 = 7*u - 2*u - 30. Suppose d = 4*a - 26 + u. Solve -a*c + 2*c - 15 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 17*v**2 + 7*v + 17. Let x be m(17). Let n = x - 139. Let c(b) = -3*b**2 + 3*b**2 - 2*b + b + b**2 - 4. What is c(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 23*b**5 + 6*b**3 + 46*b - 9. Let t(g) = 2*g**3 - g + 1. Let y(i) = -3*t(i) + x(i). Find the second derivative of y(v) wrt v.\nAnswer: 460*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10, 20, 34, 52, 74?\n\"Answer: 2*l**2 + 4*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - -6. Suppose 0*k = 4*k - v. Let i = 17 - 18. Let w(c) = 2*c - 1. Let r(z) = z - 1. Calculate i*w(x) + k*r(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/4)\/(81\/(-24)). Let t = 2 + -2.01. Which is the smallest value? (a) t (b) i (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(308)*-2 + sqrt(308))*-6 + -3*(sqrt(308) - 1*sqrt(308)))\/(((sqrt(308) + sqrt(308)*1 + sqrt(308))\/sqrt(7))\/sqrt(4))*6.\nAnswer: -120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u*u*u\/(u*u**(-29))*u)*u*u**(-3\/10)*u*u**(-1\/8)*u*u**(-17\/5) assuming u is positive.\nAnswer: u**(-1273\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 10 + z - 3 + 18. Suppose 27*n - 34*n = 105. Let r be c(n). Calculate the greatest common divisor of 20 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338599 is divided by 28151?\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0)**48 assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of 19*j**5\/20 + j**4\/3 + 7*j + 21. Let v(p) be the first derivative of k(p). What is the third derivative of v(y) wrt y?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4849237 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2085571 to two decimal places.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*g - 23. Suppose -o = g*f, 2*o - 4*o = f - 9. Let s = 7 + f. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 4, -4, 90, -9, -3 in decreasing order.\nAnswer: 90, 4, 0, -1, -3, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 9:27 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*o**5 + 223*o**2.\nAnswer: 600*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4746, -9493, -14240?\nAnswer: -18987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 86\/18 + (-14)\/(-63). Find the second derivative of -4*z**2 + z - x*z + 8*z**2 wrt z.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/3 in -91, 0, -17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*g**2 + 2672*g - 379660 = 0. What is g?\nAnswer: 205, 463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 + 0.6. Sort 5, x, -2 in decreasing order.\nAnswer: 5, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3 - 14 - 4*p - 142*p**2 + 281*p**2 - 138*p**2. Let c be z(6). Let a be 0*c*(-1 + (-1)\/(-2)). Solve -2*k - k - 3 = a for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -711*z**3 + 48*z**3 + 68*z**3.\nAnswer: -595*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1220221112 - 2?\nAnswer: -1220221120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4815 (base 12) in base 10?\nAnswer: 8081","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 29*t + 103. Let r be w(25). Which is the nearest to r? (a) -0.1 (b) -3 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of 377*n**7\/105 - 1075*n**4\/24 - 174*n**2 + 1. What is the second derivative of o(k) wrt k?\nAnswer: 9048*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 4\/4615 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2592 - 54455\/21. What is the common denominator of 41\/24 and x?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161180 take away 0.06923436?\nAnswer: 161179.93076564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 0 (b) -1 (c) 513\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.5, -5, 5\/49?\nAnswer: 5\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83579.77ug to kilograms.\nAnswer: 0.00008357977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of 23\/2*o**2 - 9\/10*o**6 - 37*o + 0*o**4 + 0*o**5 + 0 + 0*o**3. What is the first derivative of y(s) wrt s?\nAnswer: -108*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 197\/5, -0.1, -3\/4, -25, 73?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-59)\/(-885)*9*((-20)\/(-6))\/5\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-12)*120\/(-45)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2082*n - 404. List the prime factors of c(4).\nAnswer: 2, 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(2\/7)*c*c)**(-6)*(c\/(c\/(c*c**(-2)*c)))**37 assuming c is positive.\nAnswer: c**(-180\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2640684 - 70.\nAnswer: -69.7359316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(704))*-2)**2.\nAnswer: 128*sqrt(11) + 2832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9422074*v**5 - 7746984*v wrt v?\nAnswer: 188441480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1259 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26922 is divided by 6467?\nAnswer: 1054","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -7027*o**5\/5 - 3174*o - 11633. What is the derivative of n(k) wrt k?\nAnswer: -28108*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -646243.8 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a**2 + 4*a + 5. Let q be l(-1). Is (-6)\/12 + q\/(30\/(-10675)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 - 30. What is the remainder when v is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -729*q = -721*q. Solve 3*a - 9 = -q*a, c = a - 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 180 = -3*j, 2953 - 2925 = -4*j + 11*j for t.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 3339 - 163. Suppose 2*k - 786 = -4*r, -2*k + r + a = -3*r. List the prime factors of k.\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**3 + 0 + 0)*(612*c - 3438*c - 2231*c) - c**4 - 3*c**4 + 8*c**4.\nAnswer: 5061*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3 + 243468*h**2 + 730376*h + 486912.\nAnswer: 4*(h + 1)*(h + 2)*(h + 60864)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-507)*1469\/226\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 193 - 193.05. Which is the biggest value? (a) s (b) -1\/4 (c) -0.11 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/3569 and 49\/18?\nAnswer: 64242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 + 17*t**2 + 6*t.\nAnswer: t*(t + 3)*(5*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - s**2 + 2*s + 121. Let r be z(-4). Let w = -3 - -12. Let g be (9\/27)\/(1\/w). What is the highest common factor of r and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -244*i**4 + 723*i**4 - 238*i**4 - 239*i**4 + 2*i**3 - i**2 + 3*i as d + a*i**4 + y*i + g*i**2 + z*i**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 4\/7 (c) -0.027 (d) -93817\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(432))*6 + 2*sqrt(432)*3)**2.\nAnswer: 6912*sqrt(3) + 62784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1558?\nAnswer: 2, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-8 + (8 - 8)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2013.45 rounded to the nearest 100?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 + (-2 - -10) + 45\/(-12)*1. Which is the closest to 9? (a) d (b) -0.3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*d + 96*d + 6 = -5*j, -5*d - 15 = -4*j. Solve j = -4*i - 4*l + 36, 3*i = -0*i + 4*l - 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (1 + -1 - -5)) + -7 + 24 + 35\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 945126, 945124, 945122, 945120?\n\"Answer: -2*q + 945128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(850)*3 + -2*sqrt(136))\/(((sqrt(18) - (sqrt(18) - (sqrt(18) + sqrt(162))))*4)\/(sqrt(9) + sqrt(1089)*2)).\nAnswer: 253*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26770 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*z = 14350 - 36204 for z.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d + 1. Let i(g) = g - 7. Let a(v) = -v + 5. Let c(r) = -3*a(r) - 2*i(r). Determine c(b) - 3*t(b).\nAnswer: -2*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 6 = 3*q - 5*y, -q - 9 = -2*y. Let x be (-2)\/(-4)*(-3 - q). Let k be 204\/(-180) - 2\/(-15). Sort k, 4, x, 5 in descending order.\nAnswer: 5, 4, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 286 = 7*d. Let a be 13\/3*(15 + -9). Calculate the greatest common factor of d and a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -1 + 1\/6*b**3 + 2*b + 1\/12*b**4 + 0*b**2. Let q(n) be the first derivative of w(n). Determine d, given that q(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -0.4 (c) 2\/9 (d) -2.396 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3084*d + 1893. Let q be v(2). Do -4275 and q have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 plus 8474602.27461?\nAnswer: 8474608.27461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 16*t. Let m be k(1). Suppose 6 = 3*b + 24. Let n be 156\/96 + b\/(-16). Calculate the greatest common factor of n and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1840\/23)\/(-240)*(-171)\/6*-1?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 10b?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -118924483542 + -237?\nAnswer: -118924483779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a gram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v. Let t(r) = 35*r. Let h be (-6)\/4 + (-20)\/8. Let q(l) = -3*l. Let b(z) = h*t(z) - 50*q(z). Calculate b(d(w)).\nAnswer: -20*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -19*r**2 + 4*r - 4. What is t(1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43 - 3 - (77 + -40).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -222.3 - -222.40112. Round n to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -145473*w**5 - 146865*w wrt w.\nAnswer: -2909460*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4 + sqrt(272) + sqrt(17) + 1.\nAnswer: 7 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -42\/17*c + 92\/17 - 2\/17*c**3 - 48\/17*c**2.\nAnswer: -2*(c - 1)*(c + 2)*(c + 23)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10552 is divided by 1998.\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2846.7768 months to years.\nAnswer: 237.2314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -25414.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9087384 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**2 - 4*h**4 - 4*h**3 + 2*h + h**4 + 3*h**3 + 0*h to the form i*h**4 + p*h**3 + w*h**2 + r*h + a and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of v**4\/6 + 2*v**2. Let r(w) = w + 2*w - 2*w. Determine r(m(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -1. Let r(b) = 12*b - 3. Let f(k) = 4*d(k) + r(k). Let y be f(-6). Let n = y - -115. Calculate the greatest common factor of 4 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cyckxckyyyyck. Give prob of picking 1 x, 1 k, and 1 c.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -3*m**8\/14 + 10*m**4\/3 - 5*m. What is the third derivative of j(z) wrt z?\nAnswer: -1440*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 16*y**2 + 2*y - 45. Calculate m(16).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 16.144, 647\/5 in descending order.\nAnswer: 647\/5, 16.144, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of x**6\/360 + 7*x**5\/120 + x**4\/8 + x**3\/3 - 3. Let t(n) be the third derivative of l(n). Calculate t(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-nine fifths of a millisecond?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5432628608 to the power of 1\/2, to the nearest integer?\nAnswer: 73706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 18*r**2 + 19*r - 36. Let w be y(17). Is w\/(-5) - 5406\/(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -1 - (-22 + 9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - (6 - -2) - -3) + 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/33? (a) 13\/5 (b) 0 (c) 2\/7 (d) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/6*(-8)\/(-6). Let s(i) = 19*i - o*i**2 + 0*i**2 + i**2 - 13. Is s(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 9*q**2 - 23*q + 14. Let w be r(11). Suppose 3*k + k - 2*g - 10 = 0, 45 = 5*k + 4*g. Which is bigger: k or w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50026.\nAnswer: 2, 25013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from loynoof.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(153) - -4*((3 + sqrt(153))**2 + sqrt(153))).\nAnswer: 435*sqrt(17) + 3240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1 + sqrt(200) + -3*((sqrt(200) - (0 + sqrt(200))**2) + sqrt(200) + sqrt(200)).\nAnswer: -80*sqrt(2) + 597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 + 54. Let x = 26 - j. Let v = x - 1. What is the closest to v in -1, -2\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + -22 + 8 + -25 + 25.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 w, and 1 h when three letters picked without replacement from {d: 1, h: 4, w: 4, b: 2, v: 2, o: 1}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*z = 7*z + 136 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -932, 0, 269 in increasing order.\nAnswer: -932, 0, 17, 269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of w**7\/105 - w**6\/30 - w**5\/30 + w**4\/6 - 24*w**2. Factor v(p).\nAnswer: 2*p*(p - 2)*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 31413*u. Let b(d) = -286*d**2. Determine j(b(o)).\nAnswer: -8984118*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -6. Suppose -r*c - 4 = -5*c. Solve 5*t = -3*m + 24, 7*t + 5*m - 24 = c*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -2\/5 (b) 1\/3 (c) 3925\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 12:57 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2746030337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67.7557 - -5.5503. Let m = t + -73.9. What is m rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28762302659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1672)\/11*9\/(45\/(-10)). Suppose 37*v - 82 = -t. Sort -5, -8, v in descending order.\nAnswer: -5, v, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 7*z**2 + 8*z + 2. Let n be 15\/12*(4 - 0). Suppose -n*r = 3*p + 49, -r + 5*p + 31 = -3*r. What are the prime factors of c(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 18*t. Let o(j) = -12*j**2 - 53*j + 2. Let k(h) = 3*g(h) - o(h). Suppose -5*y - 2 = -2*b + 17, -4 = b + 2*y. Calculate k(b).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 5*c**2 + c + 5. Let a be m(-3). Is -886*(a\/(-8))\/5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1014 - 3136?\nAnswer: -4153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.17 + -1.83. Let b = -145\/3 - -48. What is the second smallest value in 0.1, b, y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i**2 + 10*i**3 - 10*i**3 - 11*i**4 + 5*i**4 wrt i?\nAnswer: -144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/3 - 33*x**3 + 1015*x**2 - 20825*x\/3 - 85750.\nAnswer: (x - 35)**3*(x + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 7*y**3 + 2*y**2 - 10*y + 13. Let z(r) = 3*r**3 + 9*r**2 - 3*r. Let n(k) = j(k) - 2*z(k). Determine n(16).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -44 - -50 - (1 - 0). Let x be (-7)\/(-28) + 30\/8. Solve 0 = 9*r - a*r + x for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -15 + 1\/12*y**4 + 6*y**2 + 3\/2*y**3 - y. Give k(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24069 + 24121. Calculate the least common multiple of 732 and q.\nAnswer: 9516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231*c + 252 = -167*c - 1668 for c.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 810408635 and 206.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -5*j - 306. Let b = -32 - j. Let s = b - 54. Calculate the greatest common factor of 16 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 621849 + 43?\nAnswer: 62188c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 270880, -2\/17, -4, 2 in ascending order.\nAnswer: -4, -2\/17, 2, 270880","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 998 = 5*p - 272. Let j be (-12 + (-2 - -3))*p. Is (j\/(-55))\/(2\/5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 3.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 0 + 0)*(2*i + 0*i - 6*i)*(3 - 5 - 2) + i**2 + 5*i**2 - i**2.\nAnswer: -27*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - 2 - -36 - (-2 + -24 + 12).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1004*r - 329*r = 12150 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*c**4 + 1575*c**3 + 36734*c**2 - 16556*c + 1848 = 0. Calculate c.\nAnswer: -14, 2\/9, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3092 + 0.29. Round v to three decimal places.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2351 + 4235. Suppose -b = -11*z + 734. Is 34 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/25 of a gram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 36\/109 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 654737?\nAnswer: 73, 8969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, h: 2}. Give prob of sequence hiii.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o + 3. Let y(l) = l - 7. Let p(w) = 7*n(w) + 3*y(w). Let q(r) be the first derivative of -3 - 2 + r**2 + 6. Determine q(p(s)).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -16 + 1413?\nAnswer: 13db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 8*o**2 - 2*o**3 - 509*o - 12*o**2 + 511*o to the form u*o + h + s*o**2 + b*o**3 and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 8:19 AM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 328 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-34)\/85 - (-132)\/255. Which is the closest to 0.2? (a) -0.01 (b) 0.4 (c) -0.3 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 124757 and 7957?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2*b - 2)*(-3 - 1 + 5) + 0*b - 3*b + b)*(47 - 15 - 7)*(-3 + 1 - 1).\nAnswer: 300*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4\/95 - -3\/19. What is c in g - 1\/5*c**3 - 3\/5*c + 3\/5*c**2 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 9*q + 4. Let d(r) = -17*r - 9. Let a(u) = 6*d(u) + 11*w(u). Let b be a(-7). Suppose b = 3*n + 2. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (4*2*sqrt(833))**2 + -2 - -6*((4 + (sqrt(833) - -1*sqrt(833)))**2 - sqrt(833))*-3) + -2.\nAnswer: -1890*sqrt(17) - 6955","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/21 - 104\/(-56). Solve 2 - 6 = k*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -42a60?\nAnswer: 42a59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219813*l**2 - 197637*l**2 - 39376*l**2.\nAnswer: -456826*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 10*p**2 - 2123*p + 635. What is i(212)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/15)\/((-6)\/(-30)). Suppose k = g*i - 664, 4*i + 12*k = 14*k + 884. What is the greatest common divisor of i and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9406 at least as big as 9410?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**3 - 60242*m**2 + 1623928*m + 34547912 = 0.\nAnswer: -14, 41, 30094","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8880\/(-444))\/(35\/6)?\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 + -79 + 75\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, l: 9, n: 2}. What is prob of picking 2 n and 2 l?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -25*t**4 - 1495*t**3 - 10400*t**2 - 13460*t + 3120 = 0.\nAnswer: -52, -6, -2, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*k - 7. Suppose -2*b + 4*x = 258 + 1742, 0 = -2*b + 3*x - 2004. Let a = b - -1034. Solve -3*s + n + 5 = 3, 0 = -k*s - 4*n + a for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-10) - 218112\/220. Let s = -2801\/22 - c. Let n = s - 839. Calculate the common denominator of -37\/5 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62747497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -41 + 42 + -16?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 9:54 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - t + 1)*(0 + 3 - 1)*(4 + 1 - 3)*(-2*t - 3*t - t) + 0*t + 0*t + 4*t**2 to w + i*t + g*t**2 and give g.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1292923 - 1292916. Let o = -166 - -394. Calculate the remainder when o is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 15*y - 10. Let w be (1\/(-2))\/((-4)\/96). Let d be z(w). Let a = 14 + d. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*j - 11 = -13*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 7860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 676.5792 milliseconds to microseconds.\nAnswer: 676579.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of z**2\/2 + 10*z + 3. Calculate the smallest common multiple of m(-5) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8915562*h - 129*h**3 + 8915562*h.\nAnswer: -129*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 683 + -659. What is the nearest to 2 in o, -0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/7 + 14532788*s\/7 - 26400240881618\/7.\nAnswer: -2*(s - 3633197)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/(-10)*(-580)\/5900*-10 and -8\/3245.\nAnswer: 3245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a + 0*a + 0*a)*(-34*a + 66*a - 53*a)*(6*a + 0*a - 2*a) in the form j*a**3 + w*a**2 + o*a + l and give j.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 13 - 18)*(3*g + 51*g - 11*g + 68*g + 107*g).\nAnswer: 1526*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 1 + 1)*(3*j**3 + 2*j**3 - j**3) + j**4 + 0*j**4 + 0*j**4 + 0*j**4 + j**4 + 2*j**4.\nAnswer: 12*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/(-7) - (-5800)\/280?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 455 + 7?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 28 = -0*z + 5*m, 5*m = -25. Suppose -3*o = 4*q - 20, -z*q - 2 = 2*o - 16. Solve 0 = -3*h + q - 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 983 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80215, 0, 25 in descending order.\nAnswer: 25, 0, -80215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 12*v + 8. Suppose -5*r + 5*w = -65, -w - 2*w = -r + 19. Let h be 24\/14*(3 - r). What is the least common multiple of b(h) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 54616*j - 2 - 35147*j - 36671*j to o*j + l and give o.\nAnswer: -17202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1836 is divided by 106?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 12 (b) 0.03 (c) 4 (d) -0.4 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 2\/13 (c) -6\/11 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 5*u = -50, 13*v = 15*v - u - 1 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9936\/(-4416) - (1 - (-732)\/16)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -16*c. Let w(z) be the third derivative of -z**4\/12 + 14*z**2. Calculate w(f(i)).\nAnswer: 32*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from llxuxxuhllxuulhhhxhu?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11693 is divided by 2906?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 9:27 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -8. Suppose 2*j + 2*f + 6 = 0, 3*j = q*f + 4 - 1. Is 2\/15 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 5. Suppose -5*j = 8*v - 4*v - 77, l*v - 32 = 4*j. Suppose k + 2*y - 15 = 0, 3*k - 5*k = y - v. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*(w\/(w\/(w\/(w**(2\/11)\/w))))\/w*w*w))\/w*w\/w**4)\/((w*w**(1\/2))\/w**4) assuming w is positive.\nAnswer: w**(-95\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 29 - 252*x**2 - 314 - 38 + 242*x**2 - 3*x + x wrt x?\nAnswer: -20*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48\/(-88) + 107835\/173800\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 3*v - 12, -2*v = 5*o + 6 + 20. Find the common denominator of 622\/(-28) - o\/(-21) and 43\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 114 - -35590\nAnswer: 35704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1489 is divided by 5215\/14 - (-3)\/(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15 + -74?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*y + 135 = -31*y. Let l = 77 - y. Does 16 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49e7c (base 16) to base 3.\nAnswer: 120101020201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 44559, 89122, 133687, 178254, 222823?\n\"Answer: l**2 + 44560*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.15375g to nanograms.\nAnswer: 1153750000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16754 (base 10) in base 2?\nAnswer: 100000101110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 2:21 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 88.5 and -2?\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -2)\/(2\/2). Let q = 23 - 23. Let s = j - q. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 1343816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1857553432?\nAnswer: 2, 7, 33170597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1709410)\/(-463680) - 12\/(-28). Let p = -3\/736 + w. Let r = -151 + 1663\/11. What is the common denominator of p and r?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2 (b) -4\/7 (c) -758\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9057 is divided by 2174.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a**3 + 2*a**2 - 2. Let w(c) = -5*c**3 - 8*c**3 - 7*c**2 + 2*c - c + 6. What is 7*f(i) + 2*w(i)?\nAnswer: 2*i**3 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -218 divided by 345\nAnswer: -218\/345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 2601 divide 1196901151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6154 in 0.4, 0.07, 5\/3, -0.5?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lulu when four letters picked without replacement from {u: 3, l: 5, k: 4}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 93113.88nm?\nAnswer: 0.009311388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 563322523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3605487712032 - 0.3.\nAnswer: -3605487712032.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 - 1944*l**2 - 139464*l.\nAnswer: -2*l*(l + 78)*(l + 894)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 336312 and 692.\nAnswer: 336312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 284566840*m**5 + 11550*m - 2875?\nAnswer: 5691336800*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -700 divided by -7?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -23*-4*(1 + (-6)\/8). Solve -q + 5*a + 2 = -8, 0 = 4*q + a + t for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2909*x**5 - x**2 + 6*x wrt x?\nAnswer: 174540*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 k when three letters picked without replacement from nnkkknknknnnknkkkn.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i**3*u + 14*i**3 + 4100*i*u + 172*i wrt u.\nAnswer: 2*i**3 + 4100*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-686)\/(-2401)*((-4)\/(-14) - (-218)\/(-28))?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 32479+15118\nAnswer: 47597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -7*r - 17. Let w(c) = -6*c - 17. Calculate -6*w(o) + 5*x(o).\nAnswer: o + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -782617*o**4 + 76481*o**2 + 3*o.\nAnswer: -18782808*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by 10762787.\nAnswer: -17\/10762787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1838537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 116.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 234885487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -25*a + 11. Let x(q) = 23*q - 9. Give -3*i(f) - 4*x(f).\nAnswer: -17*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1289169 by 61389.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000012923 to seven decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 12\/83 (c) -0.26 (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -34961, -69850, -104681, -139454, -174169, -208826?\n\"Answer: 29*d**2 - 34976*d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1.08349t?\nAnswer: 1083490000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**2*n**3 - 13*d**2*n**2 - 2*d**2*n - 559*d**2 - 3*d*n**3 + 531*n**3 - 306 wrt d.\nAnswer: 4*n**3 - 26*n**2 - 4*n - 1118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -204025 * 1\nAnswer: -204025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-6)\/o)**30\/(o\/(o\/(o*o**28\/o))*o*o\/(o\/(o**(3\/13)\/o))*o))**28 assuming o is positive.\nAnswer: o**(-87080\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1301 is divided by 186?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-612)\/78 + (-2)\/13. Let z be ((-4)\/l)\/(-1) - (-3)\/6. Which is smaller: z or -160?\nAnswer: -160","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 33792819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(-9) + (35336\/42 - -4). Which is smaller: d or 848?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 928 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 474789401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = -22*z + 143. Let f = 10 + -6. Solve -4*r + 5*y + z = -r, 0 = 4*y + f for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 142029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*z + 5*z - 4*z)*(0*z**2 - 4*z**2 + 2*z**2) + 15710*z**3 - 7619*z**3 - 7815*z**3 in the form r*z + p*z**3 + n*z**2 + k and give p.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g + 2*g + g)*((1 + 3 + 2)*(1 - g - 1) - 2*g - 4*g + 4*g).\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7.4 and -2904367.\nAnswer: -2904374.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3108037 micrograms to kilograms.\nAnswer: 0.0000000003108037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 88, 141, 150, 103, -12, -207?\n\"Answer: -2*a**3 - 10*a**2 + 97*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 plus 20447038?\nAnswer: 20447037.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4.15721 and 19076.\nAnswer: 19071.84279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8978 = -10*w - 7*w + 882. Calculate the smallest common multiple of w and 450.\nAnswer: 26100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 1.7. Let r = 91973 - 91975. Which is the closest to 2? (a) r (b) 4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 10. What is the nearest to 1 in -5, 3, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 148, 160, 186, 232, 304, 408, 550?\n\"Answer: k**3 + k**2 + 2*k + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -503 bigger than -1005\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.26438259 + 0.2645. What is q rounded to 6 decimal places?\nAnswer: 0.000117","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056607099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 38*d + 162. Give f(-43).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**3 - 30*q**2 + 20*q - 6. Let b be p(-16). Suppose 11*s - 10*s - b = 0. Is 30 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.3, 3, 3869\/25?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -28 and -0.039 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (66\/(-55))\/((-39576)\/(-970))\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 3*s - 2. Let v be t(2). Which is the third biggest value? (a) -5 (b) v (c) 5\/8 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/9 + 13\/(-15). Let d = 0.01 - 0.01. Which is bigger: d or j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1675417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 18*s**2 + 13*s - 30. What is the tens digit of k(-19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 953117133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/5, -0.2, -1.01?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of l**4\/12 - 4*l**3\/3 - 4*l**2 - 7*l. Let f be j(9). Solve 0 = 2*q - 3*q + f for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -13. Let l = j - 49. What is the third biggest value in -5, l, 0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 5*y**5\/4 + 1145677*y**4\/4 + 458207*y**3\/4 - 14435405*y**2\/4 + 5728364*y - 2520485 = 0.\nAnswer: -229135, -22\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-3*(2*sqrt(468) + sqrt(468) - sqrt(468) - sqrt(468) - sqrt(468)) + (sqrt(468)*3 - sqrt(468)) + 5 + 5)**2)*-6.\nAnswer: -11844 - 1440*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80\/(-280)*-1*7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of 1\/3*t**4 + 1\/6*t**6 + 28*t**2 + 5\/6*t**3 - 1\/168*t**8 + 0*t**7 + 0*t + 0 + 0*t**5. Find the second derivative of h(k) wrt k.\nAnswer: -40*k**3 + 120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5160*o**5 + 10*o**2 + 3*o - 1 wrt o.\nAnswer: 309600*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, l: 15}. Give prob of picking 2 l and 1 v.\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 s when two letters picked without replacement from {s: 5, b: 2, k: 9, y: 3}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66891280 by 32440.\nAnswer: 2062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 133342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -16.8 times 2\nAnswer: -33.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -345, -281, -77, 333, 1015?\n\"Answer: 11*r**3 + 4*r**2 - 25*r - 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 9. Suppose 0 = b + l*b + 385. What is the common denominator of (-80)\/b + (-22)\/121 and -8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 + 3*v + 2. Suppose 4*b = 11 + 1. List the prime factors of r(b).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a kilometer in centimeters?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 956747466?\nAnswer: 2, 3, 53152637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 794 + -870. Let p be (-25)\/3*(j + 73). Solve 3*w + 2*w = p for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 383 - 348. Suppose 2*w + 59 = 3*w. What is the remainder when w is divided by f\/(140\/48) - (3 + -3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16f42 - 0?\nAnswer: -16f42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -2*p**6\/15 + p**5\/5 + p**4\/6 - 2*p**2 - 1. Let s(w) be the second derivative of f(w). Factor s(o).\nAnswer: -4*o*(o - 1)*(4*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 7. Let k(r) = 0*r**2 - r + g*r**2 + 0*r**2 - r**3. Give k(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -234 + 3135?\nAnswer: 2701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**5))\/((y**6\/y)\/y)*(y**8\/y*y)\/(y\/y**(3\/5)) assuming y is positive.\nAnswer: y**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 85.9 - 86.2. Which is the closest to 2\/5? (a) -6 (b) 3 (c) t (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1))**(12\/13))**(7\/8)*f\/((f\/(f*f*f*f\/(f*f\/(f*f**(3\/5)*f))))\/f)*f**(-2\/3)*(f**(-2))**(-18\/5) assuming f is positive.\nAnswer: f**(4417\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -189.6?\nAnswer: -94.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 4\/(-22) + 33290\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*g**6 - 960*g**5 + 2*g**4 + 87483*g**2 + g wrt g?\nAnswer: -2400*g**3 - 57600*g**2 + 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -381*z - 7044. Calculate m(-19).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 598235 and 113150.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = -183*x + 6574. Let r be (-8)\/(-3) - (-2)\/(-3). What is the remainder when ((-2)\/r)\/1 - -226 is divided by x?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from zzzzzzzzyyyyzyzzzz?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*n + 3010 = 1285. Solve -79*i + n*i = 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**2. Let i(s) = -s + 9*s - s + 4*s. Calculate b(i(x)).\nAnswer: 242*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -63 + 73. Let l be ((-4)\/12*-5)\/(n\/(-6)). Sort l, 0.5, -0.3.\nAnswer: l, -0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64*1062\/75520)\/(6\/20*2*-49).\nAnswer: -3\/98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 12 = -v. Let x(t) be the second derivative of t**3\/2 - t**2 - 5*t. Is x(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j - 6 + 6. Let u(f) = 11*f. Calculate x(u(y)).\nAnswer: 11*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-6)*(-432)\/192.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 497240 is divided by 1950.\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = -z - 49 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2781408 is divided by 1390665.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 754 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z + z**2 - 5*z)*(-2*z**2 - 6*z**2 + 4*z**2) + (3*z - z - z)*(z - z + z**3)*(13 - 4 - 10).\nAnswer: -5*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 168 divided by -84?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y = -21 + 28 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 9*x - 9*x)*(-179 + 1450 + 757 - 38).\nAnswer: -7960*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of r**4\/4 - 5*r**3\/2 + 6*r**2 + 10*r - 24. Let s(p) be the first derivative of m(p). Solve s(j) = 0 for j.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 705 = 11*v. Let p = -127 - v. Suppose -o + 120 = 4*o + 2*d, 4*d = -4*o + p. What is the remainder when 65 is divided by o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -j - 5*i + 25, -3*i = -5*j - 15. Let p = -2.94 + -0.06. Which is the biggest value? (a) p (b) -0.5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(-2))\/w)**(-12\/7))**(2\/11) assuming w is positive.\nAnswer: w**(-48\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4*m = 10758, q - 6474 + 1095 = 3*m. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s - 7*s = -1125. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1805377664 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*l + 20. Let n(r) = -r**2 - 8*r + 2. Let a be n(l). Suppose a = 5*z - 3. Solve z*q + 15 = -q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2245*g**2. Let v(h) = 32066*h. Determine q(v(i)).\nAnswer: 2308372659220*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/(-5*sqrt(8)\/sqrt(4)))**2 + (sqrt(2) - (sqrt(72) + sqrt(8) + sqrt(8))**2) + 1.\nAnswer: -4973\/25 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u\/u**1)\/u*u*u)\/(u*u**(1\/2)))\/(u\/(u*u**(-2)*u)*u*(u*u**(-4)\/u)\/u) assuming u is positive.\nAnswer: u**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1\/z)**(6\/11)*(z\/((z**(-4)\/z)\/z))\/((z*z**7)\/z*z) assuming z is positive.\nAnswer: 1\/z","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -215 + 311. Suppose 28*g - t = 22*g. Calculate the least common multiple of 30 and g.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6553a5061 + -1?\nAnswer: -6553a5062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-432)\/729*(-6)\/(-8). Sort z, 0, 0.5 in descending order.\nAnswer: 0.5, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 2*i + 2. Let a(u) = 14*u**2 - 7*u - 8. Let o(h) = a(h) + 3*x(h). Suppose r + 2*z = -4*r + 21, 0 = -z + 3. Is o(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1138969?\nAnswer: 13, 87613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*w - 4 + 4)*(0 + 0 - 2*w) + (-3*w + 2*w + 2*w)*(-4*w - w + 3*w).\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9570729.\nAnswer: 3, 7, 71, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -212 + 39.055\nAnswer: -172.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 - 1 = -4*p. Suppose 5*b - 3*b = p. Solve -i + 0*i = b*y, 0 = -y + 2*i for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/35, -2, -1\/5, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*m - 17. What is the remainder when 101 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of c**7\/3360 + c**6\/720 + c**5\/480 - c**3 + 3*c**2. Let k(b) be the first derivative of a(b). Solve k(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 7*h = 0, 0 = -4*p - 5*h + 24. Suppose -p*n - 961 = -1663. What is the greatest common divisor of 195 and n?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.705 + -713.295. Which is the closest to 2\/3? (a) -4 (b) d (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.52 - 1.52. Let c be 5\/3*2\/5. What is the closest to g in 2, c, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 575 - 261*g - 288 - 288.\nAnswer: -261*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 19664448 = 125715150. Suppose 6524883 + r = -11*n. What is n rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 r when four letters picked without replacement from {c: 1, v: 8, r: 6}.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2604, -2606, -2608, -2610, -2612?\n\"Answer: -2*p - 2602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 8:00 PM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -x**6\/120 + 7*x**5\/60 + x**4\/4 + 7*x**3\/6 - 23*x**2. Suppose -30 = -10*j + 5*j. What is the tens digit of c(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iwlry. What is prob of sequence il?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1ed1 + 1422a?\nAnswer: 1620b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -64*j + 24. Let y(w) = 37*w - 14. Let u(q) = 7*h(q) + 12*y(q). Let m(o) = 21*o - 15. Let t(r) = -r + 1. Let v(c) = -3*m(c) - 45*t(c). Give u(v(z)).\nAnswer: 72*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/3)\/(-81 + (-505043)\/(-6237)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3970987 weeks to seconds.\nAnswer: 240165.29376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 96 - 333. Let c = 79 + l. Solve 0 = -c*p + 4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x**3 - 2*x**2 + 2*x + 3. Let n be i(-1). Suppose 0 = 3*a + n*a - 25. Suppose d + 2*d - 3*b = 309, -2*d + a*b = -206. Is 10 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43145 (base 6) to base 14.\nAnswer: 2213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -170, -3, 3 in descending order.\nAnswer: 3, -3, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0*-3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22972.17631 + -22972. What is h rounded to three decimal places?\nAnswer: 0.176","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-303)\/(-27) + 2\/(-9). Let b(z) = 7*z**2 + 11*z. Let w(r) be the first derivative of 3*r**2 + 0*r + 4\/3*r**3 + 6. Give u*w(o) - 6*b(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**4 - q**4 + 3*q**4 + (-7*q - 2*q**3 + 7*q)*((-3 + 0 + 1)*(-3*q - q + 3*q) + (-29 + 7 + 6)*(0 - q + 0)).\nAnswer: -35*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1445, 1334, 1221, 1106?\n\"Answer: -a**2 - 108*a + 1554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 468267592?\nAnswer: 2, 13, 43, 104711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11615915 - -1.\nAnswer: -11615914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45 - -44.6. What is the smallest value in 16, 0.3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b4 - -20?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhs when three letters picked without replacement from {h: 1, s: 1, o: 1, v: 1, a: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d - 6. Let b be m(6). Suppose -6*k + 5*k + 9 = b. Let x = k + 10. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32177 + 34950. List the prime factors of f.\nAnswer: 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101011 (base 2) in base 5?\nAnswer: 1141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1 + ((sqrt(2299) + 3 + sqrt(2299))*1 + sqrt(2299) + sqrt(2299) + sqrt(2299))**2 + (-2 + sqrt(2299))**2*1)*-3.\nAnswer: -179355 - 858*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -58 + -283163?\nAnswer: -2831bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 0*j = -j + 696, 0 = -j + 3. Let m = -20 + -24. Let h = m + 65. What is the highest common divisor of h and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/((-20)\/1))\/(682\/44).\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 7:53 PM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -13*z**6\/30 - 4*z**3\/3 - z + 12. Let m(g) be the first derivative of n(g). Find the second derivative of m(s) wrt s.\nAnswer: -156*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t**3 - 3*t**2 + 4*t - 2. Let z(b) = -2*b**3 + 4*b**2 - 5*b + 2. Suppose 46*r - 6 = 69 + 63. Calculate r*z(f) + 4*c(f).\nAnswer: 6*f**3 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 243.7 + -244. Suppose 2*w + 6 = 5*w. Let o be (1 - 11)*w\/4. What is the second biggest value in r, -4, 4, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3299 - -4?\nAnswer: 32a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 402211425 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 461 - 253. Let f = -208.4 + j. Which is the second smallest value? (a) 0.2 (b) 0.03 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/2*-2*3. Put m, 5, 2 in decreasing order.\nAnswer: 5, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-3)\/((q*q**(-3\/5)*q)\/q)*q**(-8)\/q**0 assuming q is positive.\nAnswer: q**(-57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 444238, 888476, 1332714, 1776952, 2221190?\n\"Answer: 444238*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*m + 12584 = 239*m for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.2894 rounded to one decimal place?\nAnswer: 11.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -4 + (10 - 3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 268 and 1072?\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.11 - 0.054. What is v rounded to two dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 + 166. What is the second derivative of -d*c**2 + 20*c + 68*c**2 + 70*c**2 + 3*c wrt c?\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5717 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 - 54*p + 142. Let f be t(3). Let l = -90\/49 - 15\/49. Which is bigger: f or l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**2 - 5*w**3 - 3*w**3 + 10*w**3 - 25*w**2 + 4 - 16*w**2.\nAnswer: 2*w**3 - 45*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/4 + (-28612)\/184. Which is bigger: k or -772\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 553310196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10831576 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 21033022 (base 4) to base 16\nAnswer: 93ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 11*b**2 - 4*b - 4. Suppose 4*p - 5 = s - 2, -s + 3*p = 1. Let x be c(s). What is the greatest common divisor of x and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 68664?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2651, 3727, 4801, 5873, 6943, 8011, 9077?\n\"Answer: -i**2 + 1079*i + 1573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*p + 22 = -19*p - 2*m, 4*p + 4*m = -12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 696 is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**5\/20 - 5*y**4\/12 + 2*y**3\/3 + y**2 + 31*y. Calculate d(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 22. Factor 2\/5*c**5 + 0*c + 2\/5*c**3 + l + 0*c**2 + 4\/5*c**4.\nAnswer: 2*c**3*(c + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 4:44 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 2*x - 85 = 0. Suppose -15 = 4*l + x. Let h be l\/3*6\/(-4). Solve -u - h*p = -17, p = -3*u - 0*p + 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -72\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/44 and -5\/396.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101911 is divided by 266?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9 + -2 + -7)\/(-4 - -3). Which is bigger: -1\/4219 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 15*s - 3. Suppose 3*h - 7 = y - 5*y, 3*y + h = 9. Suppose -4*t + y*j + 28 = 16, -4*j = -3*t + 10. Let n(z) = 7*z - 1. Determine t*o(r) - 5*n(r).\nAnswer: -5*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22 - 23 + 34)*(12 + 8 - x - 13) + 7*x - 4*x - x in the form a + k*x and give a.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 6*t - 26. Let j(c) = c**3 - c**2 + c. Let p(x) = -60*x**3 + 66*x**2 - 66*x. What is t*p(l) + 132*j(l)?\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 45 = 5*y + 2*k, 9 = 2*y + k. What is the smallest common multiple of 98 and y?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzwzzwzwwzw. Give prob of picking 3 z and 1 w.\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -24430, -24810, -25194, -25582, -25974, -26370?\n\"Answer: -2*n**2 - 374*n - 24054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -107*p**4 + p**3 - 736 wrt p?\nAnswer: -428*p**3 + 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 602*y + 604*y - 1207*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from erdeedeebbeeeeee. Give prob of sequence debb.\nAnswer: 11\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8348*h + 296 = 5*u - 8347*h, 15*u = -2*h + 887 for u.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 + -0.5. Let y = -1.6 - -0.7. Let o = y - -0.8. Which is the smallest value? (a) o (b) 0 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -46 + 261. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and ((-4)\/(-3))\/((-11)\/(-33))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2379.16035ms?\nAnswer: 0.000027536578125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 7*n**2 + 13*n - 4. Let l be f(4). Solve -16 = 4*m - l for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316063.\nAnswer: 11, 59, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = t + 4*d, -4*t + 7884*d - 7887*d = 14 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215*x**2 + 35*x**3 + 223*x**2 + 222*x**2 - 655*x**2.\nAnswer: 35*x**3 + 5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 270525930 * -0.1\nAnswer: -27052593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*h - 1. Suppose -4*r + 2*r = h, -2*u + r = -148. Find the common denominator of (u\/(-2))\/(6 - 5) and 117\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + q = 32. Let j = -7 + q. Let l be (-52)\/(-12) + 6\/j. Solve 0 = l*m - k - 7, 4*k = -2*m - k - 8 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 9*w - 7*w - 5 - 3*w. Let s be o(-7). Solve -12 = p + s*d, -d = -3*p - 1 - 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -317 - -1007. Is l a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07 + 120565.\nAnswer: 120565.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*o**2 - 3*o**2 - 2 + 4*o**2 - 3*o**3 + o**2 to the form k + u*o**2 + p*o + i*o**3 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - g**3 - 2*g + 2*g**2 + 6 + 3*g. What is the units digit of b(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -37 (b) -2\/3 (c) -2\/5 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -59 + 1 - 9*c**3 + 1 + 4*c**3 as n*c**3 + w*c + j*c**2 + h and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -16*i. Let y be f(0). Which is the closest to -1\/6? (a) 2\/5 (b) -2 (c) 2\/7 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (52\/28 + -2)*3. Which is smaller: j or -2\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and (-6)\/(54\/30 + -2).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/32361 and 64\/231.\nAnswer: 355971","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-13 - -24)*-1*7. Let q = -43 - o. Calculate the remainder when 236 is divided by q.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 477924.2 litres in millilitres?\nAnswer: 477924200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.05 and 102329.\nAnswer: 102329.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2584156, 2584158, 2584162, 2584168?\n\"Answer: i**2 - i + 2584156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 11 - 4. Let j = -7 - b. Let g = j - -11. Put 0.1, g, 3\/4 in increasing order.\nAnswer: 0.1, 3\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-5)\/((o*o*o*o\/o**(3\/2)*o*o*o)\/o)*(o**2)**26 assuming o is positive.\nAnswer: o**(85\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*s = 788, 2*s - 5*s - 2364 = -3*t. List the prime factors of t.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209587981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 2*j = 110, -11*x - 47*j + 43*j - 149 = 26 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -6\/881 (b) 12 (c) -22.3 (d) 4 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 64865233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 429388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15582 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 107798, 107251, 106704?\nAnswer: 106157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7673.665848 + -7629.666. Let r = 44 - u. Round r to 5 decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -9*z - 9. Let x(w) = 5*w + 4. Let a(m) = 4*u(m) + 7*x(m). Let o be a(-10). Let l(c) = c**o - 27 + 27. Let f(b) = -4*b. Give f(l(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 9, -5, -0.01 in decreasing order.\nAnswer: 9, 1\/2, -0.01, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 50989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12362 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f + 2*f + 3*f + 7618 + 19879.\nAnswer: 2*f + 27497","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 g, and 2 b when four letters picked without replacement from {g: 5, m: 3, b: 8}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -61*l + 59*l - 942. Calculate the common denominator of -20\/3 and 1*l\/96 + 3.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - v - 2. Let t be b(3). Suppose -t*q = -q. Let x be (3 + -7)\/(-1*2). Solve -3 = x*k - z, 0 = -4*k - q*z + 4*z for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.863 (b) -36\/7 (c) 1499\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.3 and 4.087?\nAnswer: 21.6611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of 15*c**3 + c**2 + c - 9. Does 11 divide w(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1547791 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/10)\/((-105)\/2100). Which is the nearest to 0.1? (a) -0.5 (b) -0.6 (c) u (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2246965.\nAnswer: 5, 7, 43, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -21341551 bigger than -21341551?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6\/6899, 13\/8, 28?\nAnswer: 13\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-832)\/120)*(-102 - -98)*(-75)\/(-18)\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2725127 to the nearest integer?\nAnswer: 1651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -289*f + 5. Let w(b) = 32*b + 2. Let h(v) = -q(v) + w(v). Let j(a) = -a**2. Determine j(h(l)).\nAnswer: -103041*l**2 + 1926*l - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t**2 + 5*t + 8. Let i(n) = 13*n**2 - 21*n - 32. Give -2*i(q) - 9*z(q).\nAnswer: q**2 - 3*q - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 14*a**2 + 15*a + 26. Let o be n(-12). Let x = o - -739. Calculate the greatest common factor of 11 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 5:02 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, w: 1, v: 4, m: 2, a: 1}. What is prob of picking 1 y and 1 m?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4630*g**2 + 1468*g**3 - 1442*g**3 - 4630*g**2.\nAnswer: 26*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 417220035?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) 15 (c) -1\/83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 26*w + 84. Let j(b) = 42*b + 169. Give 5*i(x) - 3*j(x).\nAnswer: 4*x - 87","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**4 + 4212*z**3 + 8434*z**2 - 4212*z - 8432 = 0.\nAnswer: -2, -1, 1, 2108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17890*o**4 - 2727*o**3 - 6*o**2 + 12654*o - 269 wrt o.\nAnswer: 429360*o - 16362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 113975827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -166.99999933 - -167. What is k rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 8 = 2*z, 11*z - 9 = 12*z + 3*n. Is 1019\/(z*(-5 - (-56)\/12)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**2 - 16948462*z - 71812591041361 = 0 for z.\nAnswer: -8474231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*3\/(-6) - 8*-2) + (-353096)\/26866?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 66*a. Let w(s) = -5*s. Let r(b) = -27*w(b) - 2*x(b). Let o(y) = 0 - y**2 + 0. Give o(r(m)).\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 + 88 + 128 + -94?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1365421417?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 13*l**2 + 13*l + 9. Suppose -36*o + 40*o = -48. Determine k(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5674 - -12014. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y**(-3\/7)*y*y)*y**(1\/12) assuming y is positive.\nAnswer: y**(-41\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of 0 - 1\/60*s**5 - 10*s**2 - 1\/4*s**4 - 5\/6*s**3 + 0*s. Let n be y(-4). Solve 0 = 5*b, n*x + 4 = x + 4*b for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.3 (b) 0.06 (c) -11.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 4:26 AM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.05 + -0.05. Suppose -5*p - 2*i - 50 = 0, -p + 4*i = -1 + 11. Let r be 3 + (0 - (-24)\/p). Which is the smallest value? (a) x (b) r (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3156\/23 or -136?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9127663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 1:03 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 144\/12*(6\/20)\/(-3)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + 5*q**2 - 4*q**2)*(-3*q + 0*q + q) + q**3 - 2*q**3 + 2*q**3 + 4*q**3 - q**3 - q**3 + 28*q**3 - 18*q**3 - 8*q**3 + 184.\nAnswer: 7*q**3 + 184","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0*v - 2*v = 6, -4*v = 2*b - 36. Suppose 5*g + 2 = b. Solve 5*i - 5*p = -g*p - 5, i - 5*p = -1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(1\/2)*n))**(-32)*n**(-11)\/n**(-3\/4) assuming n is positive.\nAnswer: n**(151\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000110011010101 (base 2) in base 4?\nAnswer: -100303111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -106951\/1260 + 764\/9. Let c(x) be the second derivative of 0 - 1\/42*x**3 + 1\/42*x**4 - 5*x - 1\/7*x**2 + y*x**5. Solve c(u) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.6604846 to the nearest integer.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1155672 is divided by 6798.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-18)\/(-24))\/(2\/8). Solve -t*w + 2*w = -5*o - 10, 12 = o - 3*w for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -326 - -326.4. Put -0.5, v, -7, 7\/8 in decreasing order.\nAnswer: 7\/8, v, -0.5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 12*j - 2. Let g be c(3). Suppose 18 = 4*k - g. Let m = -8 + k. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + 0)*1*687. Suppose w = -4*n - 2*w + q, -3*n = -5*w - 1016. Let r = 491 - n. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-196) - (-3)\/(-12).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 221\/5 + -44. Suppose -9*r - 3 = 147*o - 144*o, -3*r - 3*o = 3. Factor 1\/5*v**4 + 0 + r*v**2 + d*v**3 + 0*v.\nAnswer: v**3*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.5072031 tonnes?\nAnswer: 507.2031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -422058.45 rounded to the nearest one hundred?\nAnswer: -422100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32105 - -32102. Let g(o) = 5*o**3 - 7*o**2. Let t(r) = r**3 - 3*r**2 + r**3 + 0*r**2. Calculate s*g(b) + 7*t(b).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((-21)\/(-6))*(2625\/42)\/5.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 43, 2, 4833 in increasing order.\nAnswer: -15, 2, 43, 4833","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 214838509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(675) + sqrt(675)*2))\/((-4*sqrt(27)*-5)\/sqrt(3)).\nAnswer: 15*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 57\/2 + -29. Which is the second smallest value? (a) -2 (b) 0.4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 192.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.021308753 rounded to 5 dps?\nAnswer: 0.02131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 0 = -3. Find the second derivative of m - 7*l**2 - 1 + 22*l - 20*l wrt l.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, c: 5}. Give prob of sequence cccc.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 8) in base 11?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -666 - -668. Let o(k) = 2 + 0*k - k + 2*k. Let d(r) = -2*r - 7. Let f(x) = y*d(x) + 7*o(x). Let q(c) = 7*c. What is f(q(s))?\nAnswer: 21*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3544 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/6, -254, -0.5, -2\/397?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 115071, 115082, 115123, 115200, 115319?\n\"Answer: y**3 + 9*y**2 - 23*y + 115084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - -2 - (10 - 13). Let d(y) = o + 6*y + 0*y - 4. Let f(a) = -1. Let n(w) = 3*w + 1. Let i(s) = -2*f(s) - 2*n(s). Calculate i(d(t)).\nAnswer: -36*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/((-20)\/8))\/(-2). Let q = n + 12. List the prime factors of (-30)\/(-165) - (-691)\/q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 7*a**2 - 4*a - 11. Let g be -5 + 0 - (-2 - 14). Suppose -33 = 8*w - g*w. Let n(j) = -2*j**2 - 2*j**2 + 7 + 2*j - 1. Determine w*n(b) + 6*k(b).\nAnswer: -2*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 31?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000033343 rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*2*2\/12. Suppose c*v + 2*v - 6 = 0. Suppose 0*h = v*h - 201. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2358 divided by -786?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**4 + 83*i**3 - 76*i**2 - 492*i = 0.\nAnswer: -2, 0, 3, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -46*w**2 - 6430*w + 1395. What is n(-140)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1126 + 0.267173\nAnswer: -1125.732827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of k**4\/12 - 4*k**2. What is m(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 298 and 16?\nAnswer: 2384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 122739, 3 in decreasing order.\nAnswer: 122739, 6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13265853421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, t: 1, q: 1, i: 2, k: 1, l: 1}. Give prob of sequence kwl.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h - 1. Let r(f) = -6*f - 11. Let t be r(-3). What is y(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -5, 1.\nAnswer: -5, 1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-188)\/6)\/(-2)*3. Suppose 5*o - 128 = -3*k, o - 3*o + g = -3*k. Is o a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18039871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22*(-51)\/(-102)*4\/10?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 - -11122?\nAnswer: 12001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 412399200 divided by 1150?\nAnswer: 358608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65341?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4945 divided by 23.\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2180 equal to -2065?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*s - 145*s = -3*x + 25, 2*s - 3*x = -5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 978 a factor of 63165108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -181*o**2 + 3*o + 1. Let k(s) = s**2. Let t be (-9)\/(-6)*(-4)\/(-3). Let d(c) = t*k(c) - a(c). Is d(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - -1)\/(-1) - -42. Suppose -2*d = 3*d - 2*r - 45, -r - k = -5*d. Suppose -5 = -4*q + 7. Calculate the remainder when d is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -394 (base 12) in base 2?\nAnswer: -1000100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*8\/42 + 1456\/(-3920). What is the second smallest value in 2\/3, 0.4, p?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 12*p**6 + 2\/3*p**3 + 0*p**5 + 0*p**4 - 41*p**2 - 39 + 0*p + 1\/7*p**7. Find the third derivative of h(s) wrt s.\nAnswer: 120*s**3 + 4320*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2. Let k(v) = 193*v**2 + 10035*v + 1. Determine k(z(h)).\nAnswer: 772*h**4 + 20070*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - ((6 + -8 - 6) + 27)) + 1.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 12*b - 1. Let r be ((-30)\/8)\/(-3)*5 - 26\/104. Determine h(r).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 8) to base 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -68 (b) -0.066 (c) -2 (d) -1\/2 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of 0 + 0*m + 150*m**2 - 11\/8*m**6 + 0*m**4 + 0*m**5 - 27*m**3. Differentiate b(o) with respect to o.\nAnswer: -495*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15983245.\nAnswer: 5, 3196649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/53 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c + 0*c - c + 5. Calculate h(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o**2 - 4*o - 37. Let p be b(-7). Calculate the greatest common factor of 69 and p.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*c - 7*f - 51 = -4*f - 6, -3*f = -6 + 15 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 5*f - 11. Let i be w(7). Let t(l) = 4*l**2 + l - 4. Let k(d) = -5*d**2 - d + 4. Let r(j) = 3*k(j) + 4*t(j). Is 8 a factor of r(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeqeeeapaqeepaae. What is prob of picking 2 p, 1 q, and 1 a?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-3))\/(6\/9). Let c(h) = -8*h - s*h - h + 2. Is c(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*t**2 + 171*t**2 + 452*t**2 + 30*t**2 to n + c*t**2 + v*t and give c.\nAnswer: 646","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-6)\/(-4)*(-8)\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 - 44. Let v = 12 - a. Let r = v - 10.999979. Round r to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2897631 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-24 - -13 - -2) + (6 - 13).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1146\/13, 5, -36, -0.1, 66 in ascending order.\nAnswer: -1146\/13, -36, -0.1, 5, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l**2 - 6. Let r(c) = 1. Let d(a) = j(a) + 3*r(a). Determine n so that d(n) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*q - 5*q = 13, -2*q = 2. Suppose -3*k + 6 = 0, -d - 3875 = -2*y - 3*k. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 - 111211?\nAnswer: -111232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -4*v**3\/3 + 52*v**2 - 152*v\/3 = 0.\nAnswer: 0, 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gt when two letters picked without replacement from {g: 1, l: 1, t: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2. Let q(x) = -3. Let b(a) = 5*q(a) - 7*u(a). Let t(k) = -3*k + 13. Let i(m) = -3*m + 11. Let w(r) = -4*i(r) + 3*t(r). Determine 5*b(f) - w(f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005812771592 to 6 dps.\nAnswer: -0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9267027229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 1 = z. Suppose -5*s + 0*s + 10 = 0. Let w = s + z. What is the smallest common multiple of w and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 21125, 42235, 63345?\n\"Answer: 21110*m + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o**3 + 64\/3*o**4 - 68\/3*o**2 - 10*o**5 + 4\/3 + 2*o = 0. Calculate o.\nAnswer: -1, -1\/5, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66 - 73. Let q = 39 - 39. Suppose -4*g + 4 = -q. Put -5, g, p in descending order.\nAnswer: g, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-51)\/(-51))\/(3*(-9)\/270)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.059*-273.\nAnswer: -562.107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(4 - 1 - 1)*(10*q - 10*q - 10*q**2).\nAnswer: 40*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6767.95 + 6768. Let b(d) = d**3 + d**2 + d + 3. Let z be b(0). What is the third biggest value in i, -3, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 + -104. What is the units digit of -3 - (h - (0 + -3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5389332647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1986631 - 2*i - 1986590 + 3972920.\nAnswer: -2*i - 301","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -79 - -84. Let r be (-3 + i + 4)*(-1)\/2. Which is smaller: r or 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14516331 is divided by 2903264?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 794228 is divided by 113448?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -7*v**6\/20 - 48*v**5\/5 - 9*v**4\/2 + 2*v + 9. Solve l(q) = 0.\nAnswer: -18, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -g**8\/112 + 257*g**7\/280 - 167*g**6\/5 + 4037*g**5\/10 + 2420*g**4 - 2662*g**3 + 6450*g**2. Let m(t) = 0. What is t?\nAnswer: -2, 1\/4, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 4 = t, 2*t = -5*n + 3173. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23 or -5?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 421*z + 0 + 2 = 2*l + 426*z, -2*l + z - 442 = -76*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -917 - -1537. Is 6 a factor of (-14)\/(-91) - l\/(-26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*k**2 - 28*k - 1636 wrt k?\nAnswer: 6*k - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -6) + 1 + (-2 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/8*2*-44 + 0. Let q = o - 62. Solve q*h + 1 = 2*n - 25, -4*n = -3*h - 32 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 96.7033481 to two dps.\nAnswer: 96.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1220 divided by -2.\nAnswer: -610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*o - 3*o + 123 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 81*v - 38*v - 44*v. Let a(o) = -3*o**2 - 2. Calculate i(a(q)).\nAnswer: 3*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + s = 15. Let g(d) = -d**2 + 5*d - 40. Let w be g(8). Let l = s - w. List the prime factors of l.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (234\/(-8) - -6)*(1281 + -1277).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, k: 1, x: 2, c: 7}. Give prob of sequence aka.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 339*a - 213*a - 252 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 7*o**3 + 9*o**2 - 4*o + 6. Let m be (2\/4)\/((-6)\/12). Let u(i) = -i**3 - i**2 - 1. Let t(j) = m*l(j) - 6*u(j). Is 13 a factor of t(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d. Let x(l) = 56842*l - 1. Give w(x(o)).\nAnswer: -113684*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w. Let g(l) = -3*l + 173. Let o(r) = 5*r - 303. Let t(b) = 7*g(b) + 4*o(b). What is m(q) + 4*t(q)?\nAnswer: -5*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -9, -3, -12, 6, 64, -4.\nAnswer: -12, -9, -4, -3, -2, 6, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 26, 38, 56, 80, 110, 146?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1436430 or -1436431?\nAnswer: -1436431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 52 = 2*m, -61 = m + 4*p - 17. Let x be (148\/m)\/(-1) + 2\/(-7). Suppose 6*j = 249 - 87. Solve -4*r - j = -x*u + 2*u, -4*u = 3*r - 11 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/2798614 and 79\/20451410?\nAnswer: 265868330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -290823, -1163309, -2617447, -4653231, -7270655, -10469713?\n\"Answer: n**3 - 290832*n**2 + 3*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 68 + -38. Solve 0 = -5*p + h - 23, 2*h + 4 = 5*p + v for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v**2 - v**2 + v**2)*(-1366 + 763 + 1139)*(-4 + 2 + 4) to the form n + q*v + o*v**2 and give o.\nAnswer: -2144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24375677*t**4 - 517697*t**2 + 24 wrt t?\nAnswer: -585016248*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5497990 rounded to the nearest 10000?\nAnswer: 5500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/(-1*sqrt(6)*-2).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 474601 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 60098, -4359, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j + 2*m + 440 = 0, 5*j - 3*m = 43 + 149. Solve 28*r + j + 132 = 0 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008805407867 rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 20*b**2 + 5*b - 1. Let x(v) = 41*v**2 + 9*v - 2. Determine -7*f(g) + 4*x(g).\nAnswer: 24*g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(128\/6))\/(9\/(-6))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -28*q**2*z**3 + 11164*q**2 - 2*q*z**3 - 1931*z**3 + 2*z**2 + 2*z + 99 wrt q?\nAnswer: -56*q*z**3 + 22328*q - 2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -7, 15, 1\/6, 1\/10?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 8*g**4 + 33 - 33)*(-3 + 2 + 3).\nAnswer: -16*g**4 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1554 and 11227662?\nAnswer: 2907964458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -165*22\/30492*(-88)\/10.\nAnswer: 22\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 287*w - 967. What are the prime factors of l(6)?\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6797445 and 4149.\nAnswer: 1383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -26 and 190.15055.\nAnswer: -4943.9143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*g = 24*g + 306. Suppose -4*d - 5*w = -25, 0*d + 5*w - 25 = 4*d. Solve 3*f + 4*a = g, 4*a = f - d*f - 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ed + 4?\nAnswer: f1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(3*2\/(-158)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163 = -29*k - 4*y, k = -6*y + 23 + 88 + 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*a - 2. Suppose 2*j = -a*x + 6, 0*x - x = -j + 3. Is 10 a factor of (x + -2)*-6 - 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.006*2330\nAnswer: -13.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 7*x = 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -37 and -1.1.\nAnswer: -38.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 12:33 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/30 of a millennium?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 64 = 2*m. Let d(n) = 14*n + 231. Calculate the remainder when m is divided by d(-16).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3*d)*(0 - 2*d + 0)*((-2 - 1 + 1)*(-6 - 7 + 0) + 2 - 3 - 1).\nAnswer: -144*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 612?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**2*w**3 + 3*k**2*w**2 - 58*k*w**3 - 53*w**2 wrt w.\nAnswer: -6*k**2 - 348*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 10*g + 1. Let i be d(-9). Let m = 41\/4 - i. Let v = -0.8 - -1.1. Which is bigger: m or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.5 (b) -0.017 (c) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -159 - 21. Calculate the common denominator of (-340)\/(-12) - ((-52)\/39)\/(-4) and (-8)\/v - 8\/18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1081748 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 56745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1200 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4326 and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452 is divided by 95.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 22.42 + 0.4\nAnswer: 22.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, d: 1, l: 2}. What is prob of picking 3 z and 1 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of -3\/40*r**6 + 0 - 1\/70*r**7 + 5*r**2 + 0*r + 0*r**3 - 1\/8*r**4 - 3\/20*r**5. Factor p(o).\nAnswer: -3*o*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-28)\/(-56) - (-83)\/(-2). Let u = -163\/4 - h. Sort -4, 0.2, u.\nAnswer: -4, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5*g + 28, 2*b + 3*g = -0*g + 9. Let u be (b\/9*3)\/(-7). What is the fourth smallest value in -1, -2\/9, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/16 - (-150)\/48. Suppose -z*t + 2*t - 11 = -5*d, 4*t + d = -107. Let k be t\/(-10) + 16\/40. What is the third smallest value in 3\/2, 1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of g**5\/10 - g**4\/3 - g**3\/6 - g**2\/2 - 2*g. Is s(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -785 - 8*l + 785.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of g**7\/2520 - g**6\/720 - g**5\/120 - g**4\/12 + g**2. Let s(k) be the second derivative of m(k). What is s(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 48, -3, 0, -208 in descending order.\nAnswer: 48, 4, 0, -1, -3, -208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000010540536 rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102985400 and 2800.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 76\/19 + 3\/(-1). Let d(j) = 4*j**2 - 3*j + 2. Let t(s) = 9*s**2 - 7*s + 5. Let g(f) = -7*d(f) + 3*t(f). Let m be g(w). Let q(u) = u + 1. What is q(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*z - 13 = 3*l, l - 4*z = 7. Let j be -3 + 2 - (-14 + l). Suppose 5*h - 6 = -3*s + 2*h, 4*s + h - j = 0. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 5*d**2 + 3*d + 2. Let l be s(-2). What is the second derivative of 3*v**2 + l*v**4 - 3*v**2 + 28*v - 33*v**4 wrt v?\nAnswer: -300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11094 divided by 6?\nAnswer: -1849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tlcl when four letters picked without replacement from lolcoytdylylytyloycc.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2860*y = 194553 - 4568 - 18385 for y.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 0)*(-306)\/9. Let a = i + -24. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -66249*c - 428233 wrt c?\nAnswer: -66249","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + ((sqrt(133) + -1*sqrt(133))*1 + (sqrt(133) - (-2*sqrt(133)*-1 + sqrt(133))))\/((sqrt(7) - (sqrt(7)*1*1 + sqrt(7))) + -3*sqrt(63)))*-6)**2*-3.\nAnswer: -2052\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 8, y: 2}. Give prob of picking 4 r.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 54325319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**(2\/7)))**(2\/57)*(d**(6\/7)\/d)\/d**(4\/5) assuming d is positive.\nAnswer: d**(-1861\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -4. Let j be (2 - 1) + l\/(-2). Suppose 5*a = 5*f - j + 5, -2*a + 2 = -f. Solve 4*v - 2*v + 4 = f for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 14*m**3 - 4*m - 4. Let s(v) = v - 3 - 7 + 17 - 6. Determine 4*s(u) + y(u).\nAnswer: 14*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.06, 5, 127\/111, -1\/2, 0, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/(2\/(-3 + 7)). Solve -y + 7*t = 3*t - c, 0 = y - 3*t - 15 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (21*m - 23*m - 35*m)*(0*m**3 - 2*m**3 - 2*m**3) as s*m**3 + u*m + c*m**2 + d + t*m**4 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 926106339?\nAnswer: 3, 23, 947, 14173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q + 3*q - 2*q + 13. Let g(l) be the second derivative of l**3\/6 + 3*l**2 - 58*l. Determine -2*b(w) + 5*g(w).\nAnswer: w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -12501*c**2 + 2*c + 8. Let q be v(4). Round q to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 - -29. Let p(z) = -577*z**2 + 8*z - 8. Let u be p(n). What is u rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 149559634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 958*t**3\/9 + 5750*t**2\/9 + 2878*t\/3 + 2.\nAnswer: 2*(t + 3)**2*(479*t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*y - 38 - 7. Let a be (-1)\/((-1 - y)\/(-12)). Suppose a*c + 6*c - 144 = 0. Solve 2*j + 5*v + c = 1, 2*j - 13 = 3*v for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1154778244.\nAnswer: 2, 17, 43, 394931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -87, -183, -265, -327, -363, -367, -333?\n\"Answer: c**3 + c**2 - 106*c + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 28. Is 61\/3 + y\/12 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19.311889 - 15.54053008. Let n = -2.02864182 - q. Let i = n - -5.8. Round i to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7515004 is divided by 3565.\nAnswer: 3549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 13*a**2 - 19*a + 10. Let x be p(2). Solve 4*j + 21 = -3*f, -7*j + 4*j = 5*f + x for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 + 14*w + 8. Let s be v(-16). Let g = s + -175. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1747 + -5239\/3. Let t(u) be the first derivative of 3 + a*u**3 + 0*u**2 + 0*u. Let b(j) = j**2. Calculate t(b(i)).\nAnswer: 2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 9. Let y = 3 - b. Let w(v) = -2*v - 3 - 5*v - 2*v**2 + 4*v - v**3. Calculate w(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -4*t + 32 - 8, 5*t + 5*y = 40. Solve -5*c + 8 = -2*b, -4*b + 2*c - t - 12 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*4*(-4 + (2 + sqrt(1584))*-2 + 4)**2*-3*-1.\nAnswer: -152448 - 4608*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -298 - -301. Solve d + 9*i - 4*i = 13, 6 = b*i for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 1480?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 23579887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4080 is divided by 664?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-5) - (-8)\/5. Suppose -38*r - 176 = -252. Suppose 8 = 3*u + u. Solve u = -r*i + 12, q*o - i = -1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15 (b) -0.5 (c) 17 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65 and 1105?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008212075 rounded to 4 dps?\nAnswer: -0.0082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**5 + 207*j**4 - 1314*j**3 + 2676*j**2 - 1800*j = 0.\nAnswer: -75, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 81*a + 7. Let z(u) = -41*u - 4. Give 3*l(r) + 5*z(r).\nAnswer: 38*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 13. Let m = -24648\/123215 + 1\/24643. Which is the closest to -2.4? (a) m (b) 0.2 (c) -4 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.3, -16\/5 in decreasing order.\nAnswer: 4, -0.3, -16\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -130, 3\/4, 0.19, -4, 5, -1\/97?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(((-2)\/12)\/((-2)\/8))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 600\/32 + -5 + -14.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*b**3 + 356*b + 3539?\nAnswer: 6*b**2 + 356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.0581618 times 1\nAnswer: -0.0581618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10348 + -72444\/7. Let f = 3 - 5. Let b = -2.818 + -0.182. Put 3, b, f, v in decreasing order.\nAnswer: 3, v, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4849 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1068 - 1044. Solve 0 = 10*j - v*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -68, -186, -352, -566, -828?\nAnswer: -1138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -1027*g + 10. Let a(l) = 685*l - 7. Let n(v) = -7*a(v) - 5*i(v). Is n(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/51, 5 in increasing order.\nAnswer: -4, -1\/51, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -1. Let h(c) = c + 5. Let n(a) = -h(a) - 6*y(a). Suppose 0 = -2*k + 2*g - 2, -2*k - g + 10 = -6*g. Determine n(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 5. Let r(x) = -124*x + 123*x + 2*x**3 - 2*x**2 + 4*x**n. Calculate r(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**4\/4 + 5*o**2\/2 - 3*o + 29. What is the smallest common multiple of 27 and z(2)?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/5)\/v)**24*v**18*v**(-3\/16) assuming v is positive.\nAnswer: v**(-111\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(99)*1)\/sqrt(9) + 3 + sqrt(99) + 0.\nAnswer: 3 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**5\/3 - 37*f**4 + 1632*f**3 - 35712*f**2 + 387072*f - 1658880 = 0.\nAnswer: 15, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 4*h + 44, -5*h = 10 - 0. Suppose 684 = -44*b + 56*b. What is the remainder when b is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (295\/(-2655))\/(((-2)\/14)\/((-12)\/(-14))).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + (sqrt(1216) - 6*sqrt(1216)*-1)**2).\nAnswer: 297920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**3 - 72135 + 6*i**3 + 72105 - 2*i**3.\nAnswer: i**3 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 16162, 32399, 48720, 65125, 81614, 98187?\n\"Answer: 42*d**2 + 16111*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/15376 and -81\/5456?\nAnswer: 169136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -53 times -1\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/30*(-10)\/12. Let i = 1 + -3\/2. Let z = 0.48 - 0.48. What is the closest to z in q, i, 1\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -b**9\/756 - b**5\/40 + 2*b**3\/3 - 4. Let n(f) be the third derivative of m(f). Find the second derivative of n(r) wrt r.\nAnswer: -80*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 242 - 242.3. Put 0.9, m, 0.12 in increasing order.\nAnswer: m, 0.12, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 974 + -346. Let b = l + -605. Calculate the highest common divisor of 368 and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126333870.\nAnswer: 2, 3, 5, 13, 323933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 h when two letters picked without replacement from {w: 2, h: 2, z: 1, b: 1}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 46*g**2 - 16133*g - 756046. Determine t(-47).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -5. Let v(d) = -10*d + 2*d - 9*d - 14*d**2. Let r(c) = 5*c**2 + 6*c. Determine b*v(f) + 17*r(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-13*4\/(-182))\/(2*1)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and -4.74.\nAnswer: 47.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 10:02 PM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 - -100010011111011000011000100?\nAnswer: 100010011111011000010111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -14*d**2 + 7*d**2 + 6*d**2. Let s(x) = 219*x - 219*x - 10*x**2. Calculate s(g(h)).\nAnswer: -10*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -10. Suppose 5*o - 238 - 97 = c. Is 21 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 4:59 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 6*k**2 + 2*k. Let d(g) = -30*g. What is s(d(r))?\nAnswer: 5400*r**2 - 60*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42433737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 30438*v + 1293. Let g(r) = -r. What is g(o(t))?\nAnswer: -30438*t - 1293","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1240212 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x + 4*x**4 - 3*x**2 + x**4 - 3*x**4 - x**4 = 0. What is x?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.5199 millimeters in nanometers?\nAnswer: 95519900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/(-48)*-6 + -5. Let u(c) = -2*c**2 - 6*c - 16. Let v(f) = -f**2 - 2*f - 5. What is j*v(g) + 2*u(g)?\nAnswer: 3*g**2 + 2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + x. Let u(o) = -8*o - 7. Let d(m) = p(m) - u(m). Let c be d(8). Let w be (5\/c)\/(2\/126). What is the greatest common divisor of w and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 45761983?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 - -0.7. Let m = -23 + 36. Let j = m - 67\/5. Which is the closest to j? (a) 2 (b) y (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*m)*(68*m**4 + 42*m**4 + 53*m**4).\nAnswer: -326*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -23 + 12 + -189 - -45?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -5, 10, 27, 46, 67, 90?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 8*k. Let v(q) be the third derivative of -q**4\/6 - 8*q**2. Let m = -220 + 225. Give m*v(u) + 3*n(u).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3183*v + 4. Let w be a(1). Suppose -5 = -5*m, -2*m + 0*m + w = 5*p. What are the prime factors of p?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 8304*c - 41510. Give o(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000236896 rounded to 6 decimal places?\nAnswer: -0.000237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 10) to base 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -176 - 50*d - 109*d + 176 to the form g*d + p and give g.\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 101519, 101514, 101499, 101468, 101415?\n\"Answer: -b**3 + b**2 - b + 101520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -263*f**3 + 259*f**3 - 1030718*f + 515358*f + 515360*f.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6741 + -1?\nAnswer: -6742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*x - 2*x**2 + 2*x + 4*x**2 as s + o*x + u*x**2 and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.935 and 2.1?\nAnswer: -6.1635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -5*g**2 + 42*g - 30. Let f(w) = -2130*w. Calculate f(i(h)).\nAnswer: 10650*h**2 - 89460*h + 63900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 23*f**2. Let m(g) = 10*g**2 + 4*g + 2. Let v(t) = -50*t**2 - 22*t - 11. Let o(y) = 11*m(y) + 2*v(y). Give o(u(q)).\nAnswer: 5290*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 61*m**3 + 2*m**2 - 2*m - 3. Let l be f(-1). Let b = 62 + l. Solve -6 = c - 2*j, -5*c - j + 5 - b = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13402750 rounded to the nearest ten thousand?\nAnswer: 13400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121737 (base 8) to base 2.\nAnswer: 1010001111011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 12. Put g, 4, 1 in increasing order.\nAnswer: g, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49\/5 - 333\/35. Let h = 0.2 + -0.4. Suppose 42*x = -34*x + 202 + 178. Which is the closest to -1\/2? (a) s (b) x (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -t + 5, 2*r + 0*r - 2 = 0. Let 1\/3*q**t + 0*q + 0*q**2 - 1\/3*q**4 + 0 = 0. Calculate q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -209433 divided by -69811.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 13.4 and 7059?\nAnswer: 7045.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 8, 1\/4, -0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 6*f - 42. Let r be a(12). Suppose -2301 = r*g - 43*g. Is g a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9115190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -9\/8 (b) -7 (c) 1.4 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -b**4\/12 + 5426*b**2. Let a be -2 - -5 - (-2 + 3). Let j(c) = -2*c**2 - 8*c + 3*c**a + 0*c**2 - 17*c. What is j(p(y))?\nAnswer: 4*y**2 + 50*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*r + 32 = 3*v, 2*r = -28*v + 26*v - 0*r - 16 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 21906, 174697, 589422, 1397049, 2728546?\n\"Answer: 21828*k**3 - k**2 - 2*k + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 29 = -5*f, 3*g + 10 + 12 = 5*f for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-13)*(-95914)\/(-4216).\nAnswer: 35\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42970351 * -38.\nAnswer: 1632873338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/m**(-1)))**(-36)\/(m**4*m\/((((m**(2\/5)\/m)\/m*m)\/m)\/m)))\/(((m**1*m)\/m)**(5\/3)*m**(-2\/5)*(m*m**(-5))\/m*m*m) assuming m is positive.\nAnswer: m**(452\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 h when four letters picked without replacement from hggghghgggh.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 2*b. Let q be m(-2). Suppose 0 = 2*x - q - 8. Let z(y) = y**2 - 3*y. What is the smallest common multiple of z(6) and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/3)*s)\/(s\/s**(2\/15)*s)*s**(4\/7)\/s*s**(-1\/2) assuming s is positive.\nAnswer: s**(-307\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19381, 19373, 19351, 19309, 19241, 19141?\nAnswer: 19003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (455*w + 452*w - 925*w)*(-2 - 2 + 3 + 6 + 3).\nAnswer: -144*w","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-10 + 14 + 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 589 divided by 1.\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1683 and 726?\nAnswer: 37026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -1191*c + 240. Let q(o) = 5957*o - 1195. Let g(j) = -2*q(j) - 11*u(j). What is the first derivative of g(i) wrt i?\nAnswer: 1187","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 - -37. Let k(z) = z**3 + z**2 - 1. What is k(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -274*v + 98379. Give o(359).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 340*t**2 - 303*t**2 - 162*t**2.\nAnswer: -125*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1582\/(-113))\/(1\/((-2)\/(-4))))\/(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**3 - 2*d**3 + 2*d**3)*(-423*d - 1403*d - 708*d) - 3*d**4 + 0 + 1 + d**4.\nAnswer: -2536*d**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f - 6. Let l be k(3). Let w(d) = d**3 + 4*d**2 + d + 4. Determine w(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(4\/7)*(a**(3\/2)\/a)\/a)**(-7\/9) assuming a is positive.\nAnswer: a**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 10 = r, -3*r + 18 = -4*c - 4*r for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -5*o + 10, n + 4*o = 27. Let c = 69 + 24. What is the remainder when c is divided by n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 54*i**2 + i. Let b be m(-1). Suppose 4*z - n = 32, -n + 3*n = -5*z + b. Solve 5*a + z + 6 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70 (base 10) to base 4\nAnswer: -1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**3 - 65258 - 1392*c**2 + 65261 + 2*c**3)*(4 - 3 - 3).\nAnswer: 2*c**3 + 2784*c**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80952 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -0.4, -0.5, 4 in descending order.\nAnswer: 17, 4, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 4590 = -11076. What are the prime factors of l?\nAnswer: 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 36\/217?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.032989587 to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/7 + (-4)\/14. Let x(y) be the first derivative of -19*y**2\/2 + y - 9. What is the remainder when x(u) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2187.475kg to milligrams.\nAnswer: 2187475000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14316217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -6, -4, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w - 5. Let c be z(-5). Let i = -0.288 + 0.188. What is the closest to c in -3, i, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l - 21*l - 2*l**3 - 17*l.\nAnswer: -2*l**3 - 40*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1164 is divided by 127?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 849687.\nAnswer: 3, 107, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**5\/4 - 59*w**4\/4 + 143*w**3\/4 + 91*w**2\/4 - 37*w - 8 = 0. Calculate w.\nAnswer: -1, -1\/5, 1, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53 + 38. Let s be (p\/3)\/5 - 1*-3. Sort s, -5, -1, -2.\nAnswer: -5, -2, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r + 3. Let z(t) be the first derivative of -2*t**2 - 2*t - 2983. Calculate 3*w(h) + 4*z(h).\nAnswer: -4*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*j - 66*j - 27*j + 18*j.\nAnswer: -98*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(304) + -1) - sqrt(304))**2.\nAnswer: -48*sqrt(19) + 1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25819531 to the power of 1\/2, to the nearest integer?\nAnswer: 5081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000010011010010000001 (base 2) in base 15?\nAnswer: 596256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2626871041?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1083 divided by 23581.\nAnswer: -1083\/23581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 7, 0.5, 3\/5 in descending order.\nAnswer: 7, 3\/5, 0.5, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37389 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*h + 0*h**2 - 72*h - 107*h - 89*h + 2*h**2.\nAnswer: 2*h**2 - 238*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen twelths of a millennium?\nAnswer: 13000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 15*v + 15. Calculate n(11).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -73*m**2 + 2*m + 6. Let l be k(-4). What is l rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dar when three letters picked without replacement from rjfjrrjdaxrd.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-224812)\/(-196) + (-28)\/(-2). What is the greatest common factor of p and 172?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**5\/3 - 2*u**4\/3 + 4*u**3\/3 + 2*u**2\/3 = 0. Calculate u.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 107 + -87. Suppose 0 = -4*w - 5*u - 179 + y, 2*w = u - 69. Find the common denominator of w and (-91)\/8 + -2 + 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*k - 1950 = 0, -u + 0*k + 390 = -2*k. Suppose -j + 4*g = -2*j + 219, 3*j = g + 644. Suppose -u = -5*f + j. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 2:54 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 7*i**2 - i. Let z(j) = -192988 - 38*j + 5*j + 192988. Determine z(c(o)).\nAnswer: -231*o**2 + 33*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.357 and 17656.96.\nAnswer: -6303.53472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, x: 3, f: 4}. Give prob of picking 2 x.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 379990218 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -2, 1, 4 in decreasing order.\nAnswer: 36, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.017 - -0.861. Round k to 2 decimal places.\nAnswer: 0.88","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - g + 6*g - 4*g**3 - 339*g**2 + 2*g**3 + 465*g**2 - 3*g as m*g**2 + u*g**3 + q*g + y and give m.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3972 - 3963. Solve 3*k - z = -9*h + 12*h, 0 = -5*h - k - 9 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12048, 46194, 103106, 182784, 285228, 410438?\nAnswer: 558414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*2*9\/((-279)\/31)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 4*o**4 + 40*o**3 - 2004*o**2 - 6712*o + 55328 = 0.\nAnswer: -26, -7, 4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*24\/(-16)*(-8)\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 180 = -6*d. Is d a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1, -1290, -31, 12 in ascending order.\nAnswer: -1290, -31, -6, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1603*d + 1599*d + 2574000 = 0. What is d rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/2499 and -12\/77?\nAnswer: 27489","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 76*t**3 - 3*t**2 + 3*t + 3. Let p(n) = -559*n - 1756. Let l be p(-3). Let c(h) = -1975*h**3 + 79*h**2 - 79*h - 79. Calculate l*f(r) - 3*c(r).\nAnswer: -79*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m**3 - 945*m**2 + 13050*m = 0. What is m?\nAnswer: 0, 15, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.0172203 millennia?\nAnswer: 0.172203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -f**5\/60 - f**4\/6 + 3*f**2. Let d be i(-4). Factor -8*t**3 - 1\/2*t + 4*t**2 + d.\nAnswer: -t*(4*t - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 900.575871292?\nAnswer: 897.575871292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -48. Let f be (-4 - -2)\/(-2) - n. Let z = 49 + f. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*q - 4*j - 35, -5*j = 7*q - 15. Which is bigger: 31\/3 or q?\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1277780196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 946830 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1105*i - 5699 = 6456 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 431 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -15 + (25 - 12) + 17.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 + ((-108)\/81 - 3692\/(-6)). Is g not equal to 611?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52694 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 12*z + 2*z)*(-16 + 16 - 19*z) + 3*z**2 + z - 5*z + 3*z.\nAnswer: 155*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*x - 66*x + 34*x - 348902*x**3.\nAnswer: -348902*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41 + -19. Suppose -a = -2*j + 14. Suppose -n - 2*n + 15 = 0. Solve -j = -2*x - 5*w, -20 = -x - n*w - 6 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 72900 - 80782 = -5*q, -92175 = -3*q - 2*x. Is 79 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*l = -2*a + 41*l + 18, -6 = -3*a - 4*l. Solve i + 6 = 2*u, a*i - u = 9*i - 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + -1 + sqrt(80) + -3 - 2*sqrt(605)*-4)**2.\nAnswer: -768*sqrt(5) + 46096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 499121618.\nAnswer: 2, 41, 181, 33629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 544383887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2466 and 6439?\nAnswer: 115902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y**3 + 8*y**3 - 6*y**3.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 97060048 or 2\/11?\nAnswer: 97060048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -294*i + 429*i = 405. Solve i*h = 3*m + 24, 5 = h + 2 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -69*g**3*p - 64189*g**3 - g**2*p - 2*g**2 - 37591*g*p + 2*g + 48*p wrt g.\nAnswer: -414*p - 385134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 207867?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 64868098 greater than or equal to 64868099?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - g + 26 = 0, 5*g = -3*m + 3*g + 22. Let u(n) = n**3 - n - 5 - m*n**2 + n**3 - 3*n**3. What is the units digit of u(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.19351628 to two decimal places.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -6*v + 100. Let g be v\/8*8\/(-10). Let a(m) = -3 - 2*m**3 - 2*m - 2*m**2 + m**3 + m**2. What is a(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4*r + 20 = 0, -5*x - 2*r - 19 + 56 = 0. Differentiate -x + 11*p**3 + 7 - p**3 + 5 wrt p.\nAnswer: 30*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2665981919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of 0*r**2 + 0 - 61*r + 0*r**3 - 101\/20*r**5 - 19\/6*r**4. What is the third derivative of m(p) wrt p?\nAnswer: -606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 12*u**2 - 32*u - 21. Calculate the remainder when w(-14) is divided by -2*-1*26\/4.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 980 - 979.787. Round b to two dps.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1*(sqrt(99) + 0 + 5)**2 + 1)*1.\nAnswer: -126 - 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12981*c**3 - 33314*c**2 wrt c?\nAnswer: -77886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 69\/12) + 3. Which is the second smallest value? (a) 8 (b) -1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -i - 1319, -7*i + 10*i + 3077 = 7*z. Is z a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(1\/2)\/a*a*a*a)\/(a*a**(5\/9))*(a**2\/a)**(-30\/11) assuming a is positive.\nAnswer: a**(-155\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-0.162\nAnswer: 0.0324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4.239, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13555 - -13552. Let z(y) = y**3 + y**2 + y + 1. Let t be z(-1). Which is the closest to q? (a) 5 (b) t (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -677, -12, -8, -2 in ascending order.\nAnswer: -677, -34, -12, -8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 - 6*n**2 + 2*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + -3 + 2 + (-6)\/(-2). Which is greater: k or 14\/11?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -443, -334, -211, -68, 101, 302?\n\"Answer: g**3 + g**2 + 99*g - 544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*o + 4*c, -7 = -5*o + 3*c - 2. Solve -z - o*l + 10 = 0, -3*l - 3 + 6 = 3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/43097 and 13\/1775.\nAnswer: 1077425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 - (143 + (136 - 132))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 66111264?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 78\/(-845)*(-15)\/9?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49407 by 629.\nAnswer: -49407\/629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 149*x**6\/10 - 1721*x**4\/12 - 1006*x. What is the third derivative of g(w) wrt w?\nAnswer: 10728*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-10\/7)\/r*r*r\/(r*r**5\/r)*((r*r\/(r*(r*r*r**0)\/r*r)*r)\/r)**(-2\/9) assuming r is positive.\nAnswer: r**(-328\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -2. Let y = 1043 - 7303\/7. Let m = 21 + -22. Which is the closest to y? (a) f (b) 0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 10:43 AM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of r**3*w*z**3 + r**3*w*z**2 - 14*r**3*z**3 - r**3*z**2 - 7*r*w + 2 wrt w?\nAnswer: r**3*z**3 + r**3*z**2 - 7*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-15) + -2*(-28)\/70?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 343, 341, 339, 337, 335, 333?\nAnswer: 331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 11. Suppose -a*h + 7 = -9. Suppose 0 = -3*s + h + 19. Is s a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/3*(-53 + 2). Suppose 0 = -8*t + 31 + 33. Suppose -6*u = -t*u + i. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -3, -7.9, 13\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-23)\/5 + (-4 - (-2 + -6)). Which is the biggest value? (a) -4 (b) -1\/4 (c) 7 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1304, -1441, -1674, -2009, -2452, -3009?\n\"Answer: -a**3 - 42*a**2 - 4*a - 1257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 40*u. Let t(c) = -12*c + 351. What is p(t(j))?\nAnswer: -480*j + 14040","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -q + 2, 0 = -3*q + b - 0*b + 22. Let o(m) = -14 - q + 23 - 4. Let v(j) = -j - 7. Calculate -42*o(d) + 6*v(d).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -2.98. Let w = p + 0.08. Let t be (9\/(-45))\/(2\/(-8)). Which is the third smallest value? (a) w (b) -3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, -3\/8, -0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1\/6, 8, -4.\nAnswer: -4, 0, 1\/6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4*(sqrt(5) + sqrt(40)\/sqrt(2) + (sqrt(405) - (sqrt(405) + sqrt(405) + 0))))**2.\nAnswer: 2878","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 1 = k, 5*k = k - 4*z + 36. Let g(h) = -k*h + h**2 + 0*h - 2 - 2. What is the units digit of g(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2*f + f - 28, f = -3*b + 11. Suppose -f = -4*j - 0. What is the second derivative of -2*q + 5*q - 3*q**j - 2*q wrt q?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three tenths of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-5))\/(20\/(-1350)). Does 11 divide n - 3\/((-9)\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54 (base 8) to base 12\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1885 + 1880. Let v(g) = -7*g - 9. Let h(s) = -6*s - 8. What is a*v(c) + 6*h(c)?\nAnswer: -c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 1:20 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 330\/250*7415 - (-6)\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l + 46. Let s(c) be the third derivative of c**4\/24 - 2*c**2 + 81*c. Give h(s(n)).\nAnswer: -n + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q. Let n(r) = 13*r**2 - 130*r. Let v(u) = -n(u) - 65*x(u). Let z(c) be the second derivative of c**3\/2 - 27*c. Calculate v(z(o)).\nAnswer: -117*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35.5 + 36. Let m = 1.4 + -1.8. Which is the third smallest value? (a) m (b) r (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-8)*(-6)\/12.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m + m + 17 - 6*m. Let j be i(8). Let d(f) = 1 - 2*f + 3 - 3. Calculate d(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -126048 + -4.\nAnswer: -126052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 8*f + 34. Let l be h(-4). Suppose -2 = -3*j - l. Solve j = -2*s + 4*g - 14, g + 0 - 1 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -6*h - 4*b - 16, -2*h + 4*b = -10 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -1 - 67*f - 6*f**3 - 1\/3*f**4 - 16*f**2. Find b, given that y(b) = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 6:02 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 253 - 8?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 120, 164, 188, 186, 152, 80, -36?\nAnswer: -202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 840971?\nAnswer: 29, 47, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 1:01 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*s - 12770 = -224*s + 9560 for s.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q - 5*q - q**2)*(-19 + 4 - 2) + (-2*q**2 + 1 - 1)*(-5 + 0 + 6).\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0016 and -0.1?\nAnswer: 0.1016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (-23 - -47) - -45?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -4*n**3. Let y be o(-2). Suppose 2*k + 0*k = -26. Let l = -5 - k. What is the highest common divisor of l and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44205 is divided by 5017.\nAnswer: 4069","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 2322428 to the nearest one thousand.\nAnswer: 2322000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, -4\/3, 4, -2\/11?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -635*b + 16 - 114 + 424*b - 7 - b**3 - 107*b**2.\nAnswer: -(b + 1)**2*(b + 105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -4, -129, -6056 in decreasing order.\nAnswer: 9, -4, -129, -6056","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.02 + -17351?\nAnswer: -17352.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*b = -56*b + 4*x + 6, 3*b - 15 = 3*x for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 0)\/(6\/12). Let u(o) be the first derivative of 2 + 2\/3*o**3 + 0*o**r - o. Find the first derivative of u(s) wrt s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 415*y**3 + 411*y**3 - 947*y**3 - 288*y**3 + 410*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 7405540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6036049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 5922?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.91439 to 2 dps.\nAnswer: 1.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -7*p + 80. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -17 + 10 + (0 - -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 54*q + 16\/3 + 140*q**2 + 50\/3*q**3.\nAnswer: 2*(q + 8)*(5*q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 less than 377480756?\nAnswer: 377480769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvlvvvvvl. Give prob of picking 1 v and 1 l.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 2, 8, 5, -1 in decreasing order.\nAnswer: 8, 6, 5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -9822 bigger than -9822?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 12 = -q. What is the smallest common multiple of 60\/27 - 12\/54 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 26*t - 477. What is n(18)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -315241 + 1554?\nAnswer: -313354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/9 + (-12)\/54?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 + -40. Let z = x - -20. Let t be 39\/(-13) + 1*8. Solve 0 = z*d - t*b - 12 - 7, 3*b = -5*d - 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1008*f**3*s**3 - 2*f**2 + 295*s**3 wrt f.\nAnswer: 6048*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 11011101110110 (base 2) to base 8\nAnswer: 33566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 750*v**2 - 2*v. Let h(f) = f**2. Determine g(h(y)).\nAnswer: 750*y**4 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -860 + 1210. Suppose -19*l = -t + 8. Calculate the remainder when 341 is divided by l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 + 77. Suppose 0 = 2*n - b - 41, 3*n - 4*b - 18 - z = 0. Calculate the remainder when n is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1746, 1803, 1866, 1941, 2034?\nAnswer: 2151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 8*d. Let v(z) = z**3 - z**2 - 4*z + 2. Let u be v(3). Let a(r) = 6*r. Let f(w) = -w. Let h(s) = u*f(s) + a(s). Give h(p(l)).\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1030710 and 25800.\nAnswer: 20614200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1098605 + -5493024\/5. Let b = -10 - -15. Suppose -b*h + 3*h = -8. What is the closest to x in h, -0.1, -16?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 11*u**2 - 27*u - 56. Let k = 618 - 612. Let v(p) = 12*p**2 - 29*p - 57. Let g(y) = k*v(y) - 7*q(y). Factor g(o).\nAnswer: -5*(o - 5)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2315, -8204, -18027, -31790, -49499?\n\"Answer: -v**3 - 1961*v**2 + v - 354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 9:20 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (58795*g + 38*g**2 + 2 - 58795*g)*(2 + 8*g - 10*g - 8) in the form n*g**3 + d*g**2 + r*g + h and give d.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -11 + (5 - 10 - (18 - 17))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/13)*x\/(x*x\/(x*x*x*x*x*x\/((x*x\/(x**(-2\/89)*x))\/x)*x))*x*x)\/(x**(2\/39)\/x*x**9*x))**(-3\/4) assuming x is positive.\nAnswer: x**(1997\/2314)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 37687049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-nine halves of a microgram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.0375 times 1.586\nAnswer: -0.059475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*k - 63*k + 66 = 0. What is the first derivative of -41*v**4 - 32*v**3 + 32*v**3 + 5*v**4 - k wrt v?\nAnswer: -144*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 611 = 3*p, -3 = 3*p + 3. Suppose -3*n - j + 5*j = r, 3*n + 120 = 3*j. Suppose 0 = -2*h - 5*q - 55, 5*h + 129 + 96 = 5*q. Which is bigger: n or h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173636.\nAnswer: 2, 83, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -23. Suppose -4*h + m = -0. Solve -6*v - 1 + h + 2*v**3 - 7 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 21. Suppose 0 = -5*p - 4*v - 68, -p - 2*v - o = 3. Is p greater than -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -432 - -184. Let y = 2968375083 - 2968374834.9999819. Let h = y + w. What is h rounded to 6 decimal places?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 17*f**2 + 17*f + 54. Does 17 divide g(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 2*i - 28 = 0, -8347905*i = -5*h - 8347897*i - 7 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2981160 divided by 76440\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -73 + 116. Let p = 56 + -49. Let t = w - p. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i**3 - i**3 - 8*i**3 - 13*i**3.\nAnswer: -27*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*u = u + 126 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -4069*l**5\/20 - 2527*l**4\/12 - 2*l - 355. What is the third derivative of w(h) wrt h?\nAnswer: -24414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s - 19. Let g be j(-19). Suppose 4*a - 34450 + 6990 = g. Suppose -a = -7*i + 2*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine sixteenths of a day in seconds?\nAnswer: 48600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*r + 16*r - 21 - r to the form q*r + k and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 172, 222, 288, 364, 444?\nAnswer: 522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 1c38?\nAnswer: -1c3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1121 + 1063 = -104*l for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and -9.536?\nAnswer: 5.536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**2 - 16344*d + 16695396 = 0 for d.\nAnswer: 2043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -65, -77, -89, -101, -113?\n\"Answer: -12*f - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 2*u**2 + 7 + (4*u - 2*u - 4*u)*(0*u - 4*u + 0*u) + (-5 + 5 - 4*u)*(5*u + u - 4*u) to the form y*u**2 + l + r*u and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m**5*s**2 - 308*m**3*s**2 - 2*m**3 - 2*m**2*s**2 + 2*m + 535*s**2 wrt m?\nAnswer: 120*m**2*s**2 - 1848*s**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - 6) + (-5 - (2 + 1) - -5)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -2 (c) 5 (d) -40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-15)\/(o*o\/(o*o**(-16)\/o*o)*o)*((o\/o**(-11))\/o)**16 assuming o is positive.\nAnswer: o**143","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1486.295 to the nearest 10.\nAnswer: -1490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = -1 + 8. Does 2 divide (2\/1)\/(v\/5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - n**2 + 4. Let m be w(-3). Suppose -13 = -5*v + m. Round v to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/15 and -2\/25617?\nAnswer: 128085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 551426107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -52206, -87 in descending order.\nAnswer: 1, -87, -52206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or 367532?\nAnswer: 367532","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.17 + 0. Let v = 0.4 - -0.57. Let y = v + z. Round y to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 190*b**6 - b**5 + 57*b**2 - 1 wrt b?\nAnswer: 22800*b**3 - 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -304\/1487 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2515?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -331729.45 rounded to the nearest ten thousand?\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/((-28)\/392)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -164 + 166. Solve 28 = -4*o - 3*t, 3*o = 2*t + p*t + 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5674.45 and 0.6.\nAnswer: -3404.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 4*g + 4 = 0, -3*w - 7*g + 4*g - 6 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2648872752 divided by -4?\nAnswer: -662218188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*u = -x - 2818, 0 = -2*x. Does 40 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 greater than -1.483?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i**2 - 2*i**2 + 0*i**2)*(2*i - i - 5*i) as o*i + v + x*i**3 + l*i**2 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43192 - 28677. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 460 and 0.0713?\nAnswer: 459.9287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -44*x + 128. Give t(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10)\/6)\/((-3)\/(-1575)). Let g be q*(-2 + 0)*-4000. What is g rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4\/9 + 2*m**3\/9 - 2*m**2\/3 - 10*m\/9 - 4\/9.\nAnswer: 2*(m - 2)*(m + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*h - 2 = -4*w, -5*h = -w - 11. Let r be 1 - h*(-5)\/(-10). Solve 3*t = -r*t - 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011111100100001010101 + -1?\nAnswer: 10011111100100001010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52 + -24. Suppose 4*r + 0 = p. Solve -r = -3*g + 5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, 7, 34, 83, 160, 271, 422?\nAnswer: 619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 + 5 - -3) + 22?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 6*l + 7. Let q = 35 - 27. Calculate w(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1895485*l**4 + 3*l**3 - 13039909*l**2.\nAnswer: -45491640*l + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20)\/sqrt(4) + sqrt(5))*-1*4)**2 - ((sqrt(5) - (2 + sqrt(45)))**2 - (sqrt(405) + sqrt(405) + 1 - sqrt(405))).\nAnswer: sqrt(5) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*m - 15*m - 2*m - 45*m in the form l + f*m and give f.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1026704\/(-84048) + 4\/(-34)\nAnswer: -37\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4817936 divided by 602242.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4096421?\nAnswer: 7, 443, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/181 greater than -30881?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a - 2*a + 23*a + 10*a. Let z(c) = 2*c**2. Calculate z(y(n)).\nAnswer: 1568*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 139 + 49. Suppose -4*k + 820 = 4*l, -5*l - 431 = 2*k - 4*k. Suppose 12*b - p = k. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, 14, 4\/9, 3, -12\/7, 3\/37?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -330043245 + -11?\nAnswer: -330043300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7*10\/2205)\/(11\/(66\/8)).\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 5*l - 2. Let m be g(-6). What is the second derivative of t**m + 8*t - 4*t + 2*t**2 - 2*t**2 wrt t?\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 11*i**2 + 84*i + 419. Determine d(-7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 20255 - -33?\nAnswer: 20288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -2, -113, -15\/89.\nAnswer: -113, -2, -15\/89, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 468394 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -3*a**6 - 48*a**5\/5 - 2*a**4 + 44*a**3\/3 + 13*a**2 + 4*a + 3. Determine j, given that t(j) = 0.\nAnswer: -2, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125142 rounded to the nearest one thousand?\nAnswer: 125000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 111, 3, 2, -5, -76 in decreasing order.\nAnswer: 111, 3, 2, -5, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2e7 (base 15) in base 11?\nAnswer: -557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 197 - 197.3. Let s(o) = -2*o + 29. Let k be s(15). Let l = -1.6 + -4.4. Which is the nearest to 0? (a) l (b) u (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/20)\/((-10)\/8)*(-95)\/(-95)*190\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 2 = -4*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 8*w - 3. Let q be k(-7). Let a = 10 - q. Solve -2*d - d + a = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 935841 and -267.52.\nAnswer: 935573.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u + 3 + 0*u**2 - u**2 + 4*u. Let r be x(3). Let m(w) = -w**3 + 11*w**2 + 1. Let v be m(11). What is the greatest common factor of r and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 10\/3 of a hour?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193526?\nAnswer: 2, 96763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o**2. Let l(v) = 13*v**2. What is l(k(z))?\nAnswer: 208*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 4*t - 6 = 0, 4*t - 16 = -161*l + 157*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11.9 - -11.5. What is the nearest to 0.1 in -0.3, a, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gkvk when four letters picked without replacement from {k: 2, g: 1, v: 4, s: 2}?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (-18 - -20) + 1*29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 2*l**2 - 8*l + 2. Let x be s(4). What is the third derivative of -191 - 69*p**5 + 94 + 96 + 58*p**x wrt p?\nAnswer: -4140*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 8*b - 648. Suppose b + 200 = 2*w. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 137*t**2 - 3*t - 1. Let n be s(-1). Let p = n - 142. Let l(j) = -7*j + 13. Let k(z) = 4*z - 7. Give p*l(x) - 5*k(x).\nAnswer: x - 4","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1026*h**2*y + 5443*h**2 - h*y - 41*h + 5*y - 20 wrt h?\nAnswer: -2052*y + 10886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 105, -6, -9, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2\/33 + (-24128)\/1716 + -49\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/17))**(-26) assuming p is positive.\nAnswer: p**(-78\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 not equal to 5965?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -779 + 165149\/212. Which is greater: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 718, 1936, 3154?\n\"Answer: 1218*w - 500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + (-6 + -4 - -8 - (2 + -4))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 f when three letters picked without replacement from {p: 6, f: 4, v: 3, y: 3, s: 2}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -w**5\/30 + 11*w**4\/24 - 3*w**3\/2 + 25*w**2\/12 - 4*w\/3 - 142. Factor o(g).\nAnswer: -(g - 8)*(g - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/5100 and -23\/14688.\nAnswer: 367200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*w + 4*w**4 + 7*w + (4*w**2 - w**3 - 4*w**2)*(w - w + w) - 2*w**4 + 3*w**4 - 2*w**4 - 4*w**4 + 2*w**4 - w**4.\nAnswer: -w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -1. Let u be (7 + (1 - a))\/5. Suppose -3*c = y - 21, -13*y = -5*c - 47 - 6. Which is bigger: c or u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23617, -189133, -638573, -1513957, -2957305, -5110637?\nAnswer: -8115973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5861.473ml?\nAnswer: 5.861473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 21?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*l + 7990 = 51*l - 10730 for l.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s + 12. Suppose -59 - 161 = 5*l. Let x = l - -78. What is the remainder when x is divided by o(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12142 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -9179462.\nAnswer: 1\/9179462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30633161 - 12?\nAnswer: 30633147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -555 - 128935?\nAnswer: -129490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0 + -9 + 19 + 3?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 40*z**2 + z + 2. Let q be y(-2). Suppose -r + 5*r = -q. Find the common denominator of 2\/(-10) - 1\/(r\/303) and -45\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 432\/(-1) - (-2 - 0). Is ((120\/(-25))\/(-4))\/((-4)\/w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -22 + -25463?\nAnswer: -25485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60678983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26.9 - 27.08. Let j = o - 0.82. Which is the smallest value? (a) -0.2 (b) j (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6896917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 11:07 PM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-324 + 324 - 158*g)*(-3 + 2 + 3)*(0 - 3 + 5)*(-1 - 2*g**2 + 1).\nAnswer: 1264*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1049 + -1050. Which is the closest to p? (a) 2 (b) -0.1 (c) 3 (d) 100\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 3*o - 2)*(6 - 6 + 2*o**2) + 2*o**3 - 2*o**3 + 2*o**3.\nAnswer: -4*o**3 - 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 7*v**2 + 3*v - 3. Let w = -4263 + 4260. Let k(p) = -p**3 + p - 1. What is w*k(q) + s(q)?\nAnswer: 4*q**3 + 7*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -345*i**2 - 4*i + 4. Let j(v) = -346*v**2 - 5*v + 5. Let z(f) = 2*j(f) - 3*y(f). Is z(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 1874295588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 554488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-10))\/((-3)\/(-30)). Suppose 0 = i - v - 6195, 2*i + p*v - 12384 = 3*v. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 6*v**2 - 2*v + 12. Let r be m(9). Suppose 0 = 5*n - 243 - r. Let h = n - 16. Is 16 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + 1932\/(-92) + 1\/(1\/4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuaj when four letters picked without replacement from uauuaujje.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) + -1 - sqrt(208))*-4 - sqrt(208) - sqrt(208))*1 + 2.\nAnswer: -8*sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57 + 57 - 7*v + (-1 + 3 - 4)*(112*v + 176*v + 343*v) to the form m*v + j and give m.\nAnswer: -1269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10244 and 25610?\nAnswer: 51220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 201216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - 0.3. Let k = 1 + -3. Put w, -2\/7, k in ascending order.\nAnswer: k, w, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 431634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/21 and 56\/128817?\nAnswer: 901719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 12:04 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 0*i + 4*s = -347, -4*i = s + 282. Let x = -427\/6 - i. Which is greater: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 60\/72*(-4)\/(-15). Which is the third biggest value? (a) f (b) 0.4 (c) -0.1 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-13)\/(-12)*6.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/30 and -69\/110?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s + 23. Let o be w(-12). What is the derivative of 3*y + 2*y + o*y - 13 wrt y?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 - -8. Let y be (-24)\/v - 6\/(-21). Let k be (-2 - 44\/(-21))*6. What is the smallest value in 2, k, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52.6 - -53. Let d = 0.47 - -0.03. What is the second smallest value in 2, -4, d, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68454193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 13*t**3 - 5*t**2 + 3*t + 4. Let d(q) = -12*q**3 + 6*q**2 - 4*q - 5. Give -5*d(f) - 6*u(f).\nAnswer: -18*f**3 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64128 + 235087. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 0.146388?\nAnswer: -0.0585552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5145 and 501.\nAnswer: 859215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) 0.3 (b) 1 (c) 101 (d) -61.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -124, -131, -140, -151, -164?\n\"Answer: -r**2 - 4*r - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**4\/3 + 2*j**3 + j**2\/3 - 8*j + 16\/3 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1067*x**2 + 559*x**2 - 1083*x**2.\nAnswer: -1591*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 12:10 PM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 e, and 2 p when four letters picked without replacement from {d: 1, p: 3, r: 2, e: 4, t: 4}?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -38 (b) -13\/2572 (c) 3 (d) 0.3 (e) 4 (f) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2921 divided by -102\nAnswer: 2921\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*q + 943 = -40*q. Suppose 55 = -2*h + 3. Let s = q - h. Does 14 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j + 5. Let z be s(9). Suppose 6*g - z = 4*g. Let a = -9 + g. What is the greatest common divisor of a and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**2 + 54*o = 0. What is o?\nAnswer: -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -3\/7 (b) 0 (c) -0.01 (d) 0.6 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 5*h**2 + 39*h + 37. Let o be z(-1). Solve -s - o*r - 10 = -3*s, 2*r = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*i - 32 = -71*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -134.11 to zero dps.\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/4)\/((-225)\/810). Let b(t) = 4*t**3 + 1. Let q(y) = -17*y**3 - 5. Let v be (0 - 2) + 5 - (-14 - -15). Determine l*b(z) + v*q(z).\nAnswer: 2*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 9*t + 20. Suppose 4 = -2*g + 12. Is t at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = d - 2. Does d = 88\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27614355*j**2*k**2 + j**2*k - j**2 - 33*j*k + 3*k**2 + 54865 wrt k.\nAnswer: 55228710*j**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/52572 and -71\/33540.\nAnswer: 11302980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-32)\/(-24) - (-172)\/6. What is the highest common factor of 165 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -15. Let q(r) = r**2 - 4*r - 8. Let k be q(w). Let x(c) = -c**3 + c**2. Let s be x(-1). Solve 2 = -k*h + 3*g, 2*h + 0*h - 2*g = -s for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**5 + 1113*y**4 - 9051*y**3 + 17067*y**2 + 4488*y - 22740 = 0.\nAnswer: -379, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 22\/8 + 1\/4. Let q be (h\/(-2))\/((-2)\/8). Suppose 3*c - q = -0*c. Solve d = c*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*i + 118, 14*j - 16*j = 5*i - 225. What is the remainder when 916 is divided by j?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/3)\/(9\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 498 = 2*u + 88. Suppose 3*x + 2*x - u = 0. Factor -3*o**5 + 2*o**5 + 43*o**4 - x*o**4.\nAnswer: -o**4*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4643\/15 - 12086\/39. Find the common denominator of -125\/12 and k.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 378799\/6 + -63133. Let z = -0.8 - -0.3. Which is the nearest to 0.2? (a) s (b) z (c) 2\/45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 t, and 1 l when three letters picked without replacement from {n: 1, r: 2, u: 1, l: 4, t: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -13*d - 665. Determine z(-54).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 8*k + 76. Let s be u(-9). Suppose 0 = -10*g + 2 - 2. Solve -s*p + 7*p + 3 = g for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 55543 and 55572 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 75439?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-60))\/(6\/8).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35492.1 + -35492. Are 2774 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 6*i**2 + 4. Let d be g(-6). Suppose -4*t - d*s + 9 = 1, -t + 17 = -4*s. Solve -t*y - 18 = y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2547?\nAnswer: 2547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, b: 1, e: 1, u: 1, g: 1}. Give prob of picking 1 e, 1 u, and 1 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -a**5\/20 - 6*a**2. Let x(t) = -2*t**2. Calculate x(q(w)).\nAnswer: -18*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4 - 267*c + 4 - 1. Let t be f(6). Let v = -1110 - t. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q + 3. Let l be d(-6). Let k be (-2)\/9*l*3. Let c(i) = -7*i + 7*i - 3*i**k. Let h(v) = -v**2. What is h(c(f))?\nAnswer: -9*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -5*j**3\/3 - j**2\/2 - 1543*j. Let t(q) = 10*q**2. Give t(k(y)).\nAnswer: 1000*y**2 + 200*y + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 706 or 3533\/5?\nAnswer: 706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 r when two letters picked without replacement from {x: 1, j: 1, y: 1, r: 1, v: 1, o: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - a = -28, -2*a - 3*a - 22 = -2*x. Suppose 15 = x*q - q. Let n be 712\/(-24)*q\/1. Round n to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/100)\/(2\/12*-1)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -163b30 (base 15) to base 8\nAnswer: -4065072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 5*y**2 + 19*y + 41. Let f be c(-3). Determine o, given that 44\/3*o**3 - 16\/3*o**f - 4\/3*o - 8*o**4 + 0 = 0.\nAnswer: -1\/6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 300.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -9*k. Let d = -2\/215 + 1517\/1290. Which is smaller: k or d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22410 + 141?\nAnswer: -22214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 8 + t**2 + 21*t - 8*t + 0*t**2. Let k be c(-13). Suppose -67 = -5*i + k. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(170) - (sqrt(170) - (sqrt(170)*2 - sqrt(170)))*-1)\/(sqrt(160)*-3).\nAnswer: -3 - sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.04372 millennia to years.\nAnswer: 20043.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*y - 3*l + 8*l - 218 + 379 + 308 = 0, -3*y - 3*l + 9 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h - 4, -3*h + 27 = -a + 4*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -9*20\/(-270)*(-4 + 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a century?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 1 + 7*y**2 + 6.\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-70)*(9612\/(-648) + 16)?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.013 - 0.003. Which is the nearest to s? (a) 0.1 (b) 1\/5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 2*t + 9. What is the smallest common multiple of 16 and 18 + (-4 - (1 - t))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in -1, 0.4, 0.1, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 112 = -352. List the prime factors of i.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26*-161.4.\nAnswer: 4196.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 9:39 PM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 132 = -3*a - 0*a, 4*h + 5*a + 528 = 0. Let f be (3\/4)\/3 - 723\/h. Let l = f - 221\/22. What is the common denominator of 173\/42 and l?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/6 - -156*(2648\/72 + -37)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2*r = -3, -7*b = -2*b + 5*r. Suppose 4*g + 42 = a, 5*g + 127 = 3*a + b. Calculate the smallest common multiple of a and 30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - b**2 + 5. Let g be (-2 - 0)\/6*0. Calculate w(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 7*o - 5 = 0. Solve 2 = -y - o for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*v + 13*v - 6. Suppose -2*b + 10 = 0, v*h = 2*b + b + 18. Suppose 0 = -7*l + h*l. Solve l = -4*m - r - 4*r - 16, 0 = -2*r for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 8053424?\nAnswer: 40267120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -663, 64472, 1 in decreasing order.\nAnswer: 64472, 1, -663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 7:54 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(11) + (sqrt(121)*-2 + sqrt(121))\/sqrt(11))*3 + -2)*5 + 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 176283103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -107, 3, -15 in increasing order.\nAnswer: -107, -15, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-48 + (-2 - -5))*-1. Suppose b = t + 2*t. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 272792794*x**3 - 2041*x**2 + x + 1740?\nAnswer: 1636756764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 7*f - 920. What is the highest common factor of f and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13201189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2015 (base 8) in base 7?\nAnswer: -3011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1200) - (1*(-1 + sqrt(1200)) + sqrt(1200))) + sqrt(1200) + 0 + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.747653907065 take away 21?\nAnswer: -20.252346092935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1)**(14\/9))**(-23) assuming f is positive.\nAnswer: f**(-322\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/((-3 - -5)\/4). Let k be 72\/z - 1\/4. Solve -2*i - 2*f = k, 2*i + 0*f + 3*f = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from scqcycycmomsycssyccc. Give prob of sequence myc.\nAnswer: 8\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67\/3 + -22. Which is the closest to -1? (a) -2 (b) h (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1561, 1571, 1593, 1633, 1697, 1791, 1921, 2093?\nAnswer: 2313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 7*v + 9. Let m(a) = a + 1. Let o(h) = h**3 - h**2 - 1. Let s be o(1). Let i(c) = s*x(c) + 6*m(c). What is i(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57760 and 15485.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136367075.\nAnswer: 5, 13, 419591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of 6*r**7 + r**3\/6 + 45*r**2\/2 - 4*r + 12. Find the second derivative of v(s) wrt s.\nAnswer: 5040*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 185 or 186?\nAnswer: 185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4610018)\/(-441))\/(3\/27) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1100 and 2130?\nAnswer: 234300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -505*t - 283*t + 3152. Suppose -3*m - 3*r = -5*m + 105, 0 = -3*m + 3*r + 159. Which is bigger: t or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 332013049.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fp when two letters picked without replacement from {n: 1, c: 1, w: 2, p: 4, f: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.2812 to 2 decimal places.\nAnswer: 9.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1353 and 981376.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -6. Let h = -7.2 - -7. What is the closest to f in 2\/3, 2\/7, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**2 - 10*g + 9. Let m(l) = l**2 + 5*l - 4. Let r(j) = 5*m(j) + 2*t(j). Let k be r(3). Solve s = -5*y - 0*s - k, 4*s - 27 = 3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 4*q + 136, 0 = 35*q - 70*q + 36*q + 36 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 5*g, 5*g - 40 = -0*l - 3*l. Suppose -2*h - 2*j + 64 = h, 3*j - 106 = -g*h. Calculate the lowest common multiple of h and -1 + (1 - 2) + 6.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 12 - 18 - -26.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 1:23 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21.79 + 22. Let a = z + 0.25. Let q = a + -0.45999836. What is q rounded to 7 decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/2 - 61271636*j + 1877106689058248.\nAnswer: (j - 61271636)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/5589 (b) -0.5 (c) 4 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**4 - 3*h - 5*h + 2*h**3 - h**2 + 7*h to the form d*h**2 + t + f*h**4 + m*h + k*h**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-19)\/57)\/(2\/42). Let i = 12 + a. Solve 0 = -i*m + 4*m - 2, o + m = -6 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eu when two letters picked without replacement from eoeoexuee.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f + 53 = -2. Suppose -f*o + 1550 = 5*h, o = 3*o - h - 626. Calculate the highest common factor of 13 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*f + 14994 = -141*f. What are the prime factors of f?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/48 and 127\/192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -18. Solve 0*o - 2 = m*o, -s + 3 = -o for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 5*g - 18 + 32, 11*g + 16 = 3*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 + -13332?\nAnswer: -13315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 + 113887336*c + 810645331323556.\nAnswer: 4*(c + 14235917)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 509368919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 20*s**2 + 5*s. Let p(n) = n**2 + n. Calculate g(f) - 5*p(f).\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u**2 - u + 5 + 2*u**2 - 3 + 0*u**2. What is the least common multiple of p(0) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - 1*sqrt(88)*6) + 3*sqrt(88)*4)\/(4*(((sqrt(512)*4 - sqrt(512))*2 - sqrt(512)) + sqrt(512))).\nAnswer: 7*sqrt(11)\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 8) + -3 + -85. Let b = y + 96. Let d(c) = -6*c**2 - 6*c - 2. Let u(i) = -5*i**2 - 5*i - 2. Give b*u(p) - 3*d(p).\nAnswer: -2*p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (120\/25)\/((-6)\/200). Let d = g + 332. List the prime factors of d.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -10*c - 4. Let j(q) = q. Let v(o) = g(o) - 3*j(o). Let p be (-208)\/(-36) + (-4)\/(-18). Let w be v(p). Round w to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of w**6\/40 + w**4\/24 + 3*w**2\/2 + w. Let l(v) be the first derivative of f(v). Find the second derivative of l(q) wrt q.\nAnswer: 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -88 + 54 - (-2 - (3 - 4)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.3 - 0.7. Let o be (5140\/29555)\/((-2)\/23). Is o at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r + 4*r + r + (-3*r + 7*r - 2*r)*(0 - 3 + 5) - 2*r - 2*r + 6*r - 4*r - r + 3*r + (0*r - 2*r + 3*r)*(-3 + 3 + 1) to the form n*r + y and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, w: 3}. Give prob of sequence iiw.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (135\/(-54))\/(-6*10\/(-1320))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 5 (c) 2812 (d) 0.2 (e) 1\/3 (f) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2493719?\nAnswer: 2493719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 + 7*x. Let w(c) = -8*c**2 + 29*c. Let n(l) = -6*w(l) + 26*y(l). Factor n(s).\nAnswer: -4*s*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*w - 7*w. Suppose w*h - 4 = 2*m - 2, 0 = 5*h + m - 17. Solve -j = h*j - 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162596872117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 - -56. Let s(z) = f - z - 105. Let t(k) = 42*k. Give s(t(j)).\nAnswer: -42*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -26, -81, -158, -257, -378, -521?\nAnswer: -686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 679*v - 3353 = 672*v. Is v a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**4 - 1449*h**3 - 150120*h**2 + 1113924*h - 962352 = 0.\nAnswer: -326, -164, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - a + 3*o + 47 = 0, 5*o = -4*a + 7. Let v = -12 - -24. What is the highest common divisor of a and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*i + 44*i = 54*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*b - 30 = -90*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 0*v - 3 - 4\/3*v**2 - 4\/9*v**3. Factor w(z).\nAnswer: -4*z*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 101 + -56. Suppose i = -8*i + k. What is the remainder when 19 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 64619 - 8?\nAnswer: 64611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 6440 = 488. What are the prime factors of j?\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(1\/28))**(12\/11)*k\/k**(-18)*k**(-19))**(-3\/11) assuming k is positive.\nAnswer: k**(-261\/847)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 d when three letters picked without replacement from dyrdyydywyydyyy.\nAnswer: 144\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-89 + 97)\/(16 - (-2 + 0)\/(-1))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2578513.\nAnswer: 7, 368359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.05 + -0.05. Let v = u - 4. Let t = -0.4 - v. Is 0.1 > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 140, -6, 4 in descending order.\nAnswer: 140, 4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -13 + -17 + (-2 + (-7 - -6) - -3)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, 3 in descending order.\nAnswer: 5, 3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131 divided by 1147.\nAnswer: -131\/1147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/91, -5, 58.029 in descending order.\nAnswer: 58.029, -4\/91, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*((-4)\/(-7) + 14\/(-196)). What is the second derivative of 135*n - 122*n + q + 0 + 9*n**2 wrt n?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6224*h**3 - 2*h + 3112*h**3 - 412*h**4 + 3114*h**3 as o*h**3 + n*h + w + x*h**4 + c*h**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 19591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1715*m**4 + 38710*m**3 - 91560*m**2 + 67840*m - 12800 = 0. Calculate m.\nAnswer: 2\/7, 8\/7, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 153 and 85?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1944 - -1945. Let u = 4.3 - 4. Which is the closest to t? (a) -3\/10 (b) -5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 16 = -4*b - 4*i, -2*i + 10 = -5*b. Let v be 18\/27*6\/b. Let w = 4 + v. Solve 0 = 3*d + 5*u + 4, -5*d - 3*u = -1 - w for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 5, 1303?\nAnswer: 1303","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -56.3, 1\/2, -0.0818, -8?\nAnswer: -0.0818","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24703?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/3)\/(140\/(-30))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - 27\/(-18))*(9 + -3). Let d = 0.2 + -1.2. Let p = -5.84 + -0.16. What is the third biggest value in i, d, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 169977.4597 - 169976.8697004652. Let l = -0.59 + w. Round l to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 2) + 9\/3. Let b(q) = 7*q**2 + 5*q - 5. Let z be b(o). Let a be (9 + -2)\/((-2)\/(-22)). Calculate the greatest common divisor of a and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94455485?\nAnswer: 5, 17, 683, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1163188.\nAnswer: 2, 13, 22369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5626 - 1530. Is i - -2*(15\/10 + -4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 1. Let y(h) = h - 6. Let m(c) = 5*p(c) + y(c). Let b be m(1). Let n = 2\/15 - b. Put 5, 12, n in descending order.\nAnswer: 12, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 221*a - 220*a. Solve -2*r = -4*r - 4*m - 6, -a = 2*r + 3*m for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 488 - 404 = 0. Sort f, -60, -2.\nAnswer: -60, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.6568571 and -1412.616?\nAnswer: 1410.9591429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(13) - sqrt(52)\/sqrt(4)) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3300 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 91063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1747565 divided by -24?\nAnswer: 1747565\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13151432 (base 6) in base 4?\nAnswer: 1222011230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3*k - 20992 = 0. Let d = k + -125813\/12. Find the common denominator of -85\/6 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*b - 17*b - 43*b + 135*b.\nAnswer: 30*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 630 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of v**4\/4 - 4*v**3\/3 + 2*v**2 - v + 1. Let j be 28\/8 - ((-1)\/2 - -1). Let a be w(j). Solve -3*s + s = -l, 0 = a*l + s for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -1.5, -4\/5, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 5*b**3 + 6*b**2 - 30*b + 315. What is the tens digit of i(14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258885505 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n - 1. Let m be h(-3). Let l be (-105)\/(-6)*8\/(-10). Let w be (-4)\/l - (-60)\/35. Solve 0 = -w*f - 1 - m for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1241087 to 4 dps.\nAnswer: -0.1241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**22\/(g*(g\/g**3)\/g) assuming g is positive.\nAnswer: g**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*q - 7*q - 1 - 159*q - 263*q - 1.\nAnswer: -388*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 + -5. Suppose -j = -8*g + 18. Suppose -c = g*n - 79, c - 3*c + 78 = 5*n. What is the least common multiple of 44 and n?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*2\/108)\/(1\/(-6)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - d**2)*(74068 - 846*d - 74068) + (-2*d + 3*d - 3*d)*(2*d**2 - d**2 - 2*d**2) to the form q*d + c + g*d**2 + h*d**3 and give h.\nAnswer: 848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-34)\/4)\/(-1 + 245\/238). Let q = n + 294. Solve 0 = -2*k - 5*k + q*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1449 and 347823?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of 0 + 29*y + 6*y**2 + 1\/6*y**3. Calculate w(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 4*u**4 - 1968550*u**3 + 984258*u**2 + 7874200*u - 3937096 = 0.\nAnswer: -2, 1\/2, 2, 492137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -385 = -h + 468. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xs when two letters picked without replacement from {u: 3, p: 1, t: 3, x: 1, s: 11}?\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*u**2 - 477*u + 477*u.\nAnswer: -20*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.02 - -1.32. Let b = f - -6. Let d = -2\/9 - -31\/18. Put b, -3\/7, d in decreasing order.\nAnswer: d, b, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/15)\/(u*u*u**(-1)\/u))**(5\/7))**(7\/9) assuming u is positive.\nAnswer: u**(-1\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 158916, 317836, 476758, 635682, 794608, 953536?\n\"Answer: m**2 + 158917*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 7. Let c = -15 + 15. Is x(c) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 345 and 7.\nAnswer: 2415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3950835657?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 156792156, 156792166, 156792176, 156792186, 156792196?\n\"Answer: 10*s + 156792146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 4 - 103 = -23*j + 16, 2*j = -3*z + 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3201.485 - -3196.1. What is y rounded to 2 decimal places?\nAnswer: -5.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 + 2*p**2 + 10 + 5*p**2 - 10 + (3*p + 2*p - 6*p)*(-2*p - 9*p + 3*p) to g*p + i*p**2 + a and give i.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229 is divided by 83.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 42*x**3 + 12*x**2 + 28*x. Let c(w) = -17*w**3 - 5*w**2 - 11*w. Let n(d) = -12*c(d) - 5*t(d). What is the second derivative of n(g) wrt g?\nAnswer: -36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fourty-five halves of a day?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17042455?\nAnswer: 5, 67, 50873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 208321*m - 2. Let r be c(4). Let p = -82493800\/99 + r. Let i = p - 100\/9. Is i not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.9332 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 4176*x**2 - 4177*x**2 - 2*x**3 + 28*x - 2*x - 2*x**4 in the form r*x + b*x**4 + m*x**3 + g + l*x**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1564 is divided by 252?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6605524483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2543053 (base 6) to base 16\nAnswer: -21b49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16604 divided by -14.\nAnswer: -1186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -2, -79 in increasing order.\nAnswer: -79, -2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 7.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 11*w**2 + 10*w + 12. Let p be q(10). Which is smaller: p or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -k + 2*a - 43, 0 = -3*k - 4*a + 53. Suppose k*h = -6*h + 51. Solve -l - 19 = 3*m - 6*l, -h*l = 5*m - 25 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 114, -16975, -5, 0.3 in decreasing order.\nAnswer: 114, 0.3, -5, -16975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {f: 1, k: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v. Let q(n) be the second derivative of 25*n**4\/12 + 6*n. What is j(q(z))?\nAnswer: -50*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 10.8. Let w = -0.15 - -0.3. Let t = w - -0.05. Which is the nearest to x? (a) t (b) -2\/13 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 15*n**2 - 11*n - 29. What is the tens digit of s(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64126 by -2.\nAnswer: 32063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2 + 2*p + 5 + 0*p + p. Let m be (2\/2)\/(2\/8). Let x(a) = -3*a + 0*a + 2*a - 2 + a**2. What is m*v(t) + 10*x(t)?\nAnswer: 2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 + -109. Let q = 195 + c. Calculate the remainder when q is divided by 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 times 5.22\nAnswer: 130.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21994733.\nAnswer: 21994733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 72?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 253 and 621?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1261, 2540, 3821, 5104, 6389, 7676, 8965?\nAnswer: 10256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 117534164 a multiple of 438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1.25 (b) -4 (c) 7\/4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of 99\/7*w**4 + 0 + 243\/35*w**6 - 6*w + 243\/14*w**5 + 116\/21*w**3 + 8\/7*w**2. Determine t, given that k(t) = 0.\nAnswer: -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(75)*3 + 2) - -1*(-2*3*sqrt(75) + sqrt(75)).\nAnswer: -115*sqrt(3) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/3107 - 17209\/3107. Let t = u + 622\/117. Let r be 0\/((-2)\/(-1)*1). Which is the closest to r? (a) t (b) 0 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, m: 1, r: 1, s: 1, f: 1}. Give prob of sequence srl.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 3 + 9\/(-3 + 6). Solve 0 = l*j + 1 + 8 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 3 = 4*i. What are the prime factors of (1 - 2) + (i - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 125 = 5*a, 4*w - 76 = -3*a + 24. Find j such that -w*j**3 - 10*j + 17 - 10 - 7 + 35*j**2 = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**3\/9 + 42844*g**2\/9 + 85694*g\/9 + 42848\/9 = 0.\nAnswer: -1, 21424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ua when two letters picked without replacement from oauuuanu.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -10*c + 12. Let y = 655\/117 - 49\/9. What is the third smallest value in -1, 4\/3, y, c?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -649 - -565. Let b be 30\/s*-7*(-24)\/(-15). Solve 0*g = -b*g + 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 8*b - 19*s + 21*s, -5*s = -2*b - 33 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4274*g**2 + 6947 wrt g?\nAnswer: 8548*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 2. Suppose 0 = 2*u + 1 - m. Suppose -28 = -4*v + u*v. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 516561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 123448 (base 9) to base 13\nAnswer: 28022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*q*x**2 + 7826358*q + 5715104*x**3 with respect to x.\nAnswer: -4*q*x + 17145312*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30)\/sqrt(6))**2 + 3)*-2 - (sqrt(480)*3 + sqrt(480))\/sqrt(6).\nAnswer: -16*sqrt(5) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*k + 5*d - 40 = -138*k, 5*k - d = 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1546\/6 + 2 + 80\/60. Let w(o) = o**3 + 11*o**2 + o - 61. Let v be w(-10). What is the highest common factor of v and a?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5733 and 585?\nAnswer: 28665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -4. Let u(d) = -2 + 4*d - 3*d**f - 5*d**2 + 4*d**2 + 2*d**2. Determine u(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = 6*i + 14. What is the remainder when 63 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*n**2 - 121*n**2 + 0*n**3 - 6*n**3.\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + p - 2*p)*(-3 - 2*p**2 + 3) + 6*p**3 + 8*p**2 - 8*p**2 + (-2*p**2 + 0*p + 0*p)*(0 + 0 + p).\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 531047066 to the nearest integer?\nAnswer: 23044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 11*b**2 + 793*b + 133. Calculate r(-71).\nAnswer: -719","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 5*h**2 + h + 5. Let k be l(5). Let v be ((-7)\/(-35))\/(8\/k). Let f = -4.7 + 5. What is the closest to v in 3, -1\/9, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 508*z - 111218. Determine f(219).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 22054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 3)*(-5 + 3 + 1) + (-1 - 2 + 5)*(3 + 0 - 4) - 6 + 0 + 5)*(2*v - 2*v + 2*v)*(6 - 9 + 5).\nAnswer: -24*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -134 + 134.2. Let m = -7\/4 + 2. Which is the nearest to m? (a) -0.5 (b) -3\/7 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((11*14\/(-154))\/(-7))\/(-1).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13723986737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 287589877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-25)\/(-10))\/(2\/(-8) - 2070\/(-8136)). What is the highest common divisor of 791 and x?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 372210 and 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 2*h - 28, 0 = -5*h + 6202*y - 6195*y + 115 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1977?\nAnswer: 3, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*c**2*s**3 - 23101*c**2*s + 2*c**2 + 839*c*s**3 + c*s wrt s?\nAnswer: -30*c**2*s + 5034*c*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1199, 109, 5\/4, -1 in descending order.\nAnswer: 1199, 109, 5\/4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3661.\nAnswer: 7, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 569 - 569.2. Which is the biggest value? (a) -1\/7 (b) p (c) -29\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8601*t**2 - 945*t**2 + 202*t**2)*(0*t**3 + t**3 - 3*t**3).\nAnswer: -15716*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 210*n**3 - 2 - n**2 + 646*n**3 - 228*n**3 to the form z*n + p + j*n**3 + u*n**2 and give j.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -98, 0, 4, 2 in decreasing order.\nAnswer: 4, 2, 0, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 484*g. Let b(w) = -w. Give c(b(l)).\nAnswer: -484*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 789 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6.3 in 39, -735, 0, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -w**5\/240 - w**4\/96 + w**3\/12 + w**2 + 34*w. Let t(f) be the first derivative of i(f). Factor t(j).\nAnswer: -(j - 1)*(j + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**3\/3 - 51244*d**2\/3 - 1641344*d\/3 - 13134848\/3 = 0. Calculate d.\nAnswer: -16, 25654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 760 and 152?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25101 or -1?\nAnswer: 25101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**5\/60 + p**4\/3 - 2*p**3\/3 - 4*p**2. Let v be w(3). Suppose -v = -3*k + 10. What is the least common multiple of k and 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -20*z - 1. Calculate the remainder when 77\/(-14) + 5 + ((-15780)\/(-8))\/15 is divided by t(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*l - 2*l - 9*l.\nAnswer: 26*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.36 (b) -1 (c) -4 (d) 9 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -86 - -85.984. Let d = 0.0388 - z. What is d rounded to 3 decimal places?\nAnswer: 0.055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 6. Let t be (3\/a)\/(2\/(-4)). Suppose 3*l - l - t = 0. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.12 - -0.12. Let m = 160 + -159.8. Which is the smallest value? (a) j (b) -1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95457, -381831, -859119, -1527321, -2386437, -3436467?\nAnswer: -4677411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -v**5\/90 + 5*v**4\/18 + 1959*v**2. Factor z(d).\nAnswer: -2*d*(d - 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1632, 3264, 4896, 6528, 8160, 9792?\nAnswer: 11424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 divided by 5.\nAnswer: -42\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*z + 7140 = -112*z. What is the highest common factor of 969 and z?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 147*s**2 + 2295*s + 1410. Give o(-15).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007195205 rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -5*i**8\/2352 + 74*i**7\/735 + 11*i**6\/42 - 43*i**5\/210 - 215*i**4\/168 - 31*i**3\/21 + 3241*i**2. Solve x(z) = 0.\nAnswer: -1, -2\/5, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 29\/6 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 160, 3, 1 in ascending order.\nAnswer: 1, 2, 3, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqirtqxxxqqkk. What is prob of sequence ik?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19818 and 192.\nAnswer: 634176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*s + 18. Sort 0.2, s, 0, 2\/5.\nAnswer: 0, 0.2, 2\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3981247 to the power of 1\/2, to the nearest integer?\nAnswer: 1995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**4\/7 + 537366*w**3\/7 + 36092321606*w**2\/7 - 397065514134*w\/7 + 144392931272 = 0.\nAnswer: -134347, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1157854220?\nAnswer: 2, 5, 1193, 48527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2720*f**2 + 36932*f**2 + 59095*f**2 + 36244*f**2.\nAnswer: 134991*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - i + 1. Let f(j) = j + 1. Let s(c) = 7*c**2 - 10*c. Let q(l) = 5*f(l) + s(l). Let d(b) = 5*k(b) - q(b). Let o(v) = -5*v. Give o(d(y)).\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 11*k**2 - 2. Let h be i(9). Let z = h + -13. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from cevvvvcevceecvvv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 250 and 404500?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*l + 12 + 30 = 0, 2 = -3*z + 5*l. Suppose 3*c + z = -18. Round c to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1307)\/(-9) + (-7)\/(378\/12). Let p = -31 + c. Is p a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5754 - -5944. Calculate the lowest common multiple of q and 266.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-602*(-84)\/344946)\/28.\nAnswer: 1\/191","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwxwwxwwwwwx. Give prob of sequence wwxx.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 - 2 - -35 - (3 + 0) - (1 - -6).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 6 + 4*j**2 + 16 + 7.\nAnswer: 4*j**2 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*i = 94, 2*r = -3*i - 9 - 34. Let m = -15 - r. Suppose 0 = -5*y - 3*x + 1028, 209 = y - m*x + 6*x. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000142555 to 7 decimal places.\nAnswer: -0.0000143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2)\/t**10*((t\/((t*t\/(t\/t**(1\/4)*t)*t)\/t*t))\/t)\/(t**(2\/31)\/t) assuming t is positive.\nAnswer: t**(-1527\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 400556 to the nearest integer?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*i = -2028143 + 2026129 for i.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1084 to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - 30 = -9*m. Suppose 13*x = 8*x + m. Solve y - 1 = x*l, l + 3*y = -1 - 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134558264501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 11, e: 4, z: 3}. What is prob of sequence eze?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqaqqqaa. What is prob of picking 1 a and 1 q?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)*-1 + 1 - (sqrt(180) - (1 + sqrt(180))*4))**2 + 0)*-3.\nAnswer: -2235 - 360*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.13 in 1, 8, 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 6 - 12 = 0. Calculate the remainder when h\/(-4)*(-11 - 3 - 6) is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10293 (base 11) to base 14.\nAnswer: -5665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -48608, -388794, -1312076, -3109976, -6074016?\n\"Answer: -48587*m**3 - 26*m**2 + m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**4\/4 + 1811*d**3\/4 + 240011*d**2\/2 - 83598240*d + 166712832 = 0.\nAnswer: -1056, 2, 299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-3))\/((-286)\/(-12012))*32\/8?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -1\/2. Are 0 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 0*h - 10\/11*h**2 + 1\/33*h**6 - 22 - 14\/33*h**3 + 9\/22*h**4 + 14\/55*h**5. Suppose d(i) = 0. What is i?\nAnswer: -5, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 176 + -7. Let g = a - 105. What is the highest common divisor of g and 224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**2 - 2*b**2 - 2*b**4 + (2*b + b - b)*(-2*b**3 + 0*b**3 - b**3) + 3*b**4 - 7 + 7.\nAnswer: -5*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32.725 + -33. Let k = z - 3.025. Round k to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26547608*b*d**3 - 108303*b + 131*d wrt d?\nAnswer: -159285648*b*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 + (3 + 6 - 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 9:45 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3.59+129.66381384\nAnswer: 133.25381384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3443 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 914568 and 216.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a**2 + 20*a - 160 = 0. What is a?\nAnswer: -8, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 500d (base 14) in base 9?\nAnswer: 20748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-266))\/(2\/72). Let w = 5\/19 - p. Let v = 9\/14 + w. What is the second biggest value in 0.4, 0.1, v?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1593 less than 63195?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a micrometer in nanometers?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4) + sqrt(12)\/sqrt(3))\/sqrt(2)*-6.\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of n**7\/84 - n**6\/15 + 3*n**5\/20 - n**4\/6 + n**3\/12 - 2*n - 3. Let d(m) be the first derivative of g(m). Factor d(b).\nAnswer: b*(b - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -658 and 46.5.\nAnswer: -611.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*b + 3. Suppose 0 = -4*a - 4, m + 3083600 + 10216396 = b*a. What is m rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + 9141815848594.\nAnswer: 9141815848594.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -9.06. What is the closest to 1\/4 in 4, -2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 21*s**2 - 17*s - 54. Let o be i(20). Solve -o = 7*b - 27 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*940\/(-1645)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {j: 1, s: 1, e: 3, r: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -561 + 555 = 2*z + 4*o, 0 = -3*z + 3*o + 18. Factor 0*k - 4\/3*k**z + 0 - 2\/3*k**4 - 2\/3*k**2.\nAnswer: -2*k**2*(k + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 6, 17, 53 in decreasing order.\nAnswer: 53, 17, 6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -103, 2, 5.\nAnswer: -103, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4687913 and 12.\nAnswer: 4687925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3\/2 - 12*y**2 + 18*y.\nAnswer: 3*y*(y - 6)*(y - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, m: 1, o: 2, l: 3, d: 3}. What is prob of sequence oo?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*o + 3. Suppose -8 = p - 2*n, -2*n + 17 = -o*p + 3*n. Let k be 332\/(-56) + 4 + p. Which is greater: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*c + 3*c + 4*c + (-2*c + 2*c + c)*(6 - 2 - 3) + 5*c - 9 + 9 + 10*c - 7 + 7.\nAnswer: 17*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, m: 4}. What is prob of sequence miii?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 4*o - 4. Calculate u(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19914 + -19911. Sort 2, -1, f, -120, -2 in increasing order.\nAnswer: -120, -2, -1, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.4059 rounded to 0 decimal places?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 + -2 - 1 - 2. What is the first derivative of -k + 2 - 2*s - 3 wrt s?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 4\/7 (c) 53 (d) 1\/2 (e) 32 (f) -165\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-117)\/(-27) - (-427)\/(-183). Factor 0 - 16\/3*u + 22\/3*u**m - 7\/3*u**3.\nAnswer: -u*(u - 2)*(7*u - 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*m = -40*m - 16, 2*n + 10 = -3*m for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 11*p**6\/6 - p**3\/3 - 3. Find the third derivative of z(h) wrt h.\nAnswer: 660*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*j*y**3 + 27634*j*y**2 - 6*j*y + 3*j - 3*y**3 + 13*y**2 - 6377*y + 199 wrt y.\nAnswer: -18*j*y + 55268*j - 18*y + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 12*i. Let n be m(15). Let q(o) = 5*o. Let d be q(6). Calculate the greatest common factor of d and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4137*w + 2*v = -4133*w + 14, w = 2*v - 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 44863 + 4?\nAnswer: 44867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of 61*n**8\/56 - n**6\/30 - 17*n**4\/12 + 32*n**3\/3 - 53*n - 10. Find the third derivative of q(i) wrt i.\nAnswer: 7320*i**3 - 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222521 (base 6) to base 8.\nAnswer: -44521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o - 74. Let x(c) = 56*c**2. Determine x(p(q)).\nAnswer: 56*q**2 - 8288*q + 306656","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 12*m**2 + 11*m - 23. Let s be b(-13). Is (-6 + (-7622)\/(-6))\/(s\/9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 8*a**2 - 8*a - 5. Is v(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -129\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than -977135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -191\/1170 and -127\/36.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 63.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 121 + 154 = 0. Let u(h) = -36*h**2. Let d be u(-1). Let t = i + d. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 313882.7 centimeters?\nAnswer: 3138827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -101\/4 + 25. Let l = 62 - 62.3. What is the closest to -0.2 in l, p, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2258*l**5 + l**4 - 11*l**3 + 1006276*l**2 wrt l.\nAnswer: -135480*l**2 + 24*l - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -2, -16, -38, -68, -106, -152?\nAnswer: -206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30926 to the power of 1\/2, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - w + w)*(-3 + 9 - 11)*(-2*w + 2 - 2).\nAnswer: 20*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 7*b. Let k be n(-4). Suppose 3*w + w = k. Suppose 6*u - 2*u + 11 = -f, -3*f = -w*u - 27. Let i(y) = -y - 4. Give i(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1985 = 8*n - 7*n + 4*v, 5*v + 10025 = 5*n. Calculate the greatest common factor of 87 and n.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14\/5 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -959 = 137*n + 411 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 584503.\nAnswer: 457, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 178391 and 6847?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -3*w**2 - 684561*w - 9583266 = 0.\nAnswer: -228173, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**3*a))\/(a*a*a**(3\/2)*a))\/(a\/(a\/(a\/a**(-1\/8)))*(a**(-4\/7)\/a)\/a*a*a) assuming a is positive.\nAnswer: a**(-507\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 76\/54271 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 27 = -123. Does 10 divide (-4)\/(1\/g*-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 7:54 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 s when four letters picked without replacement from sxsssxsxsxxxxsxsxs?\nAnswer: 36\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -4 (c) -13.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 11:47 AM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 8*g**2 - 24*g - 153. Give d(-8).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8787331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.6 - 8. Let g = j - 0.7. What is the closest to g in 3\/2, 2\/19, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11229 is divided by 108?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1.9, 21, -2, 24.1?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23054969?\nAnswer: 7, 107, 30781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 9:03 PM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 g when two letters picked without replacement from hkklngg?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*l**3 - 36*l**3 - 142 + 78 wrt l.\nAnswer: -129*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2653295482 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(3)*2 + sqrt(3)) - (sqrt(300) + 0))**2 - (-3*(-4*sqrt(3) - sqrt(3))*-4*1)**2.\nAnswer: -10653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 657452271?\nAnswer: 3, 7, 17, 1841603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*g - 114 + 614 = 0. What is the third smallest value in -3, 15, 0, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -l - 5*j, -3*l + 2*j - 13 = -93. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a milligram in micrograms?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(5\/(-2)) + 1. Let m be ((-1053)\/90 - -12)*20. Solve m = t*k - 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - z + 13. What is r(-4)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 4*s = 3*w - 8, 5*s + 22 = w. Suppose -4 = -w*p + 6. Let 2\/7*h**4 - 2\/7*h**p + 18\/7*h**3 + 8\/7*h + 0 + 22\/7*h**2 = 0. What is h?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7 + -4.369161.\nAnswer: -3.669161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 106\/3 + -1621\/48. Let s(i) = 61*i + 56. Let l be s(0). Calculate the common denominator of x and 24\/(-21) - (-16)\/l.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooc when three letters picked without replacement from voovocoovooocv.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 2 - 1\/6*f**6 - f**3 + 0*f**2 + 0*f + 0*f**4 + 0*f**5. Find the third derivative of d(r) wrt r.\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56967 (base 11) to base 8.\nAnswer: 240661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*j - 4*j. Let d(v) = j - 8*v**2 + 4*v**2 - 1. Let l(k) be the third derivative of 7*k**5\/60 - 39*k**2 + 1. Calculate d(l(m)).\nAnswer: -196*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7*40\/(-112) - (-5)\/1. Let p = a + -4. Is 5 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10549 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/21*(-18)\/12. Factor -1\/7*i**5 - 1\/7*i - 6\/7*i**3 + a*i**4 + 0 + 4\/7*i**2.\nAnswer: -i*(i - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2531 (base 6) to base 15\nAnswer: 2c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 + -162305.\nAnswer: -162305.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -11. Let v = -529.6 + 530. Put -5, p, v, 0.3 in decreasing order.\nAnswer: p, v, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173*v + 42*v + 309*v - 171*v + 8*v**3.\nAnswer: 8*v**3 + 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-96)\/6*(-6)\/120.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23926*p**4 + 2*p**3 + p**2 + 98694*p - 1 wrt p.\nAnswer: -287112*p**2 + 12*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/10 - (5 + 37\/(-6)). Which is the fourth smallest value? (a) -3 (b) h (c) 3 (d) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 e when three letters picked without replacement from eeeeeeeeyeeeeeeeee.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(363) - ((sqrt(363)*2 - sqrt(363)) + 0)**2) + -2.\nAnswer: -55*sqrt(3) + 1813","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 15*f**2 + 104*f - 34. What is the remainder when p(11) is divided by 103?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 6. Let f be ((-62)\/4)\/(i\/4). Let v = 55 + f. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -3\/4, -1, 2, 24, 72?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u*u\/u**(4\/5)*u)*u)\/(u**(-5)\/u)*(u**(-2\/5)*u*u*u)**23)\/((u\/u**(2\/5))\/(u\/(((u**(-4)\/u)\/u)\/u)))**45 assuming u is positive.\nAnswer: u**(1998\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 3*x - 346, 3*s + 20*x - 557 = 25*x. Calculate the remainder when 502 is divided by s.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*s**5\/2 - 6527*s**4\/4 - 78288*s**3 + 2304*s**2.\nAnswer: -s**2*(s + 96)**2*(34*s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 2*t + 3*j = 0, -10 - 5 = 8*j - 5*j for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -15812.4959 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38 + -38)*(-1)\/(1 + -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/1*1)\/((-1332)\/(-3552)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011 (base 12) in base 6?\nAnswer: 12021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*f - 223*f**3 + 7*f - 132*f**3 + 3*f - 68*f**3 wrt f.\nAnswer: -2538*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -13. Let z = -1\/199 - -405\/1393. Which is the closest to 2\/7? (a) w (b) z (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32836628273\/1130 + 29058965. Let v = k + -3\/113. Let y = -48\/2039 - -207571\/69326. What is the common denominator of y and v?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -580*i**5 - 2*i**3 - 109*i**2 + i?\nAnswer: -34800*i**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 36 = -k + 5*f, -5*f - 84 = -4*k. Suppose 3*r - 6 + k = 2*q, 4*q + 4*r = 0. Suppose -55 = q*b - 135. Is b a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, s: 1, b: 1, y: 3, i: 4, h: 4}. Give prob of sequence lhil.\nAnswer: 2\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6, 11, 30, 69, 134?\n\"Answer: p**3 + p**2 - 5*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -94 - -98. Suppose -2*i - 106 + 8 = 0. Let f = -30 - i. Calculate the remainder when f is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 2:32 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10294763?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156 = -28*z - 24*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -778 (base 16) in base 2?\nAnswer: -11101111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 22*f**2 + 2*f + 58. Is v(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - ((2625\/(-133) - -13) + 9))\/((-95)\/(-38))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 972636.8 litres?\nAnswer: 972636800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c**(-6)*c)\/c)**(1\/50)*c**11\/c*c**(4\/5))**16 assuming c is positive.\nAnswer: c**(856\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2322\/(-11352))\/((-9)\/2).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - ((-42)\/27)\/2. Which is the nearest to 2\/7? (a) 2\/9 (b) x (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -5. Suppose w = -p + 5. Let f(c) = -2*c**3 - c**2 - 4*c + 5. Let z(x) = 2*x**3 + x**2 + 3*x - 4. What is w*z(j) + 3*f(j)?\nAnswer: 2*j**3 + j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.045 - -24.845. Let m = h + 7.2. Let x = m - 46.2. Round x to 0 decimal places.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*b - 2. Let g = 1 + 4. Let y = g + b. What is the smallest value in y, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/26? (a) 0.2 (b) -2 (c) 2\/15 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18.1 - -14.1. Which is the closest to 0.15? (a) 5 (b) o (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express w - 22 + 4*w**3 - 20 + 38 as a*w + j + d*w**2 + i*w**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*k + 146*k = -391 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 195, 775, 1741, 3093, 4831, 6955, 9465?\n\"Answer: 193*h**2 + h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 6*k**2 + k + 6. Let h(q) = -12 - 19*q - 3 + 2*q**2 + q**3 + 6*q + 3*q. Let f be h(-3). Calculate g(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 119*y. Let w(b) be the first derivative of -b**2\/2 - 99. Determine w(g(h)).\nAnswer: -119*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by 17683486.\nAnswer: -10\/8841743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ettv when four letters picked without replacement from vtvtvev?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5*q + 2)*(5*q**3 - 2*q**3 - q**3 + (2*q - 2*q + 2*q**2)*(1 + q - 1)).\nAnswer: 20*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**3 - h**3 - 2*h**3 - 4 - h**3 + 4 + (-h - h + 3*h)*(1 + 3*h**2 - 1).\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/5299258 and 41\/106?\nAnswer: 5299258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*b + 6*b - 4*b)*(-2*b + 2*b - b)*(2*b**2 - 2*b**2 - 2*b**2 + (2*b - 7*b + 4*b)*(4*b + 3*b - 5*b)).\nAnswer: -40*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j - 245 = -5*d, -127*j - 98 = -255*j + 126*j - 2*d for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.791 to 1 dp.\nAnswer: 24.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (104 + 5 - 45) + -64?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83248686?\nAnswer: 2, 3, 2003, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1542 divided by 6\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 4:31 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + 0.2. Let u(a) = a**3 + 6*a**2 + 2*a + 6. Let x be u(-4). Let b be (6\/(-5))\/((-9)\/x). What is the smallest value in f, b, 2\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, 43, 180, 385, 664, 1023?\nAnswer: 1468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (110\/(-15) - -6)\/((-4)\/1002). Solve z*i - 10 = 339*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**2 + 7*c**2 + 2*c - 3*c**2 + (-3 + 3*c + 3)*(4*c - 4*c - 3*c).\nAnswer: -7*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1856, 6942, -1 in ascending order.\nAnswer: -1, 1856, 6942","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {j: 11, y: 9}.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7224*j - 12990 = 7657*j for j.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 884008297 to the nearest integer?\nAnswer: 29732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 762*g**3 + 7*g**2 - 1. Let t(l) = 759*l**3 + 8*l**2. Let w(o) = -4*c(o) + 3*t(o). What is the third derivative of w(y) wrt y?\nAnswer: -4626","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 0.18029003?\nAnswer: -2.18029003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -7. Let n = 6641\/3 + -2214. Which is the closest to 5.3? (a) n (b) r (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -1382*h + 4. Let a(y) = -10886020*y + 31510. Give -6*a(i) + 47265*r(i).\nAnswer: -4110*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23637\/47270 + 1\/23635. What is the nearest to -2 in 2, 20, h, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**4 - 3*x**3 - 2*x**4 - 1 + 2*x**3 - 14*x + x**2 to b + h*x**4 + d*x**2 + m*x + n*x**3 and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -16*f + 1. Let b = -11 + 10. What are the prime factors of l(b)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 116289341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*w - 2*j - 26, -2*w - 30 = 5*j. Let h(p) = -9*p + 4. What are the prime factors of h(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1904*l + x + 2*x = -1905*l - 31, -x + 2 = 0 for l.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -120, -130, -70, 84?\nAnswer: 356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104\/182*70\/4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**4*x - 4*j**3*u**2*x + 8*j**3*u*x - 2*j**2 + j*u**2*x - 33*j*u**2 wrt j?\nAnswer: 24*j*x - 24*u**2*x + 48*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10.19 + -0.19. Let y = j - 5. Let u be 4\/6*(-12)\/(-20). Which is the closest to u? (a) y (b) 4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of w**4\/2 + 2*w**3 + 25*w**2\/2 - 41*w - 50. Is p(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6487?\nAnswer: 13, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4 = -3*p. Solve -8 = -4*o - p for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -12?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -180056, -360128, -540210, -720302, -900404, -1080516, -1260638?\nAnswer: -1440770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + sqrt(11)*-6 + sqrt(11)) + (sqrt(121) - sqrt(121)*4*-4)\/sqrt(11).\nAnswer: 12 + 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1607 - 430 - 707)*((-5 + 5 - 2*a)*(-2 - 5 + 4) + 5*a - 4*a - 3*a)*(-a**2 - 2*a**2 + 2*a**2) to the form g*a**3 + l + z*a + t*a**2 and give g.\nAnswer: -1880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 75157602?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.18 rounded to zero dps?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeee. What is prob of picking 4 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8176 and 2156.\nAnswer: 629552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5\/4)*s**2)\/(s*s**18\/s*s*s\/(s*(s**(-16)\/s*s)\/s)) assuming s is positive.\nAnswer: s**(-141\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i + 10*i = -32. Find the second derivative of 118*d**3 - 18*d - 118*d**3 - 4*d**i wrt d.\nAnswer: -48*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2*f - 1 - 3)*(-89*f**2 + 4*f**2 + 3*f**2)*(2*f - f + f) to z + a*f**3 + w*f**4 + r*f**2 + c*f and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-21)*(-1296)\/336.\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1*q)**29*(q\/(q\/q**(-1\/4)))**(-15) assuming q is positive.\nAnswer: q**(247\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122415825 divided by -3.\nAnswer: -40805275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-18)\/14 - -1) + 0. Let z = -77\/4 + 19. Which is the nearest to n? (a) 2\/13 (b) z (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*s = -7*s. Suppose s*g = -u + g, -u = -2*g. Let k(r) be the third derivative of r**4\/24 + 5*r**3\/6 - r**2. Give k(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 842975038 to the nearest integer?\nAnswer: 29034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -21.00044. What is a rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/15)*b\/b**(-1\/4))**(-1\/43) assuming b is positive.\nAnswer: b**(-67\/2580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/38532 and -59\/2381574.\nAnswer: 61920924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 13) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 85*v - 2654. Calculate q(33).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -4*s - 4*s. Suppose -7*t + s*t = 7. Let b(q) = -19*q - 1. What is b(t)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 70*j - 658 + 448. Let q(r) be the first derivative of 2*r**j + 6 + 0*r**2 + 8*r - 1\/4*r**4. Determine q(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*m, -4*u + 4*m = -6*u + 26. Calculate the remainder when 42 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 * -181\nAnswer: -2534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/(-10))\/((-3)\/6) + 1. Solve -t*d + 2 = -4*y, y - d - 7 = 2*d for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bk when two letters picked without replacement from {b: 2, i: 1, j: 2, t: 1, k: 2, c: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9798 and 7328674?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-212)\/(-24))\/((-34)\/6) + (-2025)\/(-1350)\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8050 = -6*i - 112. Let u = 2102 - i. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.23 - 0.823432639025.\nAnswer: -0.593432639025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 6*m**2 + 7*m - 11. Let t be x(2). Suppose 0 = p + 6*j - j - 17, 3*j = -2*p + t. Calculate the remainder when (-1 - (-204)\/(-9))*-3 is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105968051 is divided by 35322682.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222 + 4103*g - 1311*g - 1526*g - 1267*g.\nAnswer: -g - 222","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1251697?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 32 = -4*z + 2*h, -3*z - 2*h = -1. Suppose -z*n + 4*a + 104 = 0, -2*n + 4*a + 29 + 47 = 0. Is 14 a factor of (2\/(-1))\/((-2)\/n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -135375\/2 - 24225\/2*v + 555\/2*v**2 - 3\/2*v**3.\nAnswer: -3*(v - 95)**2*(v + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/31 and -111\/3256060.\nAnswer: 100937860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*p*s**4 + 2*p*s**3 - 4281*p*s**2 - 13126344*s**4 + 1032*s**2 + s wrt s.\nAnswer: -48*p*s + 12*p - 315032256*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - 1 - (-9 - 1 - -19).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 6*k + 10 = 0. Let u(c) = k + 0 - 1 + 2*c**3. Let j = -40 - -41. Calculate u(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d0 - 82203?\nAnswer: -822d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3 + 4 + 1 - 2. Let r = 1 + 5. Let a(p) = p - 2. Let n(d) = r*a(d) + i(d). What is the derivative of n(o) wrt o?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 1404*z**2. Suppose 4*a - 4 = 16. Let u be v(a). Round u to the nearest one thousand.\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, f: 4}. What is prob of sequence ffff?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (-23 + -3 - -43)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 + 23 = -6*c. Let s = 4 + -7. Let g be 3 - (1 - (-2 - s)). Solve -4*r - 25 = -w, -c*r + 3*r + g*w - 30 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 672\/(-784)*(-385)\/(-11)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 442885 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-76 + 46 + -8)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1496 + 900?\nAnswer: 2396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72412933?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -3*d - 4 + 8, 12 = v - 4*d. Let a be v\/(-4) + -3 - -2. List the prime factors of (a + 2)*(-303)\/(-6).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 49754885?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 6*z - 7. Suppose 4*w - 12 = 4*l + 32, 4*w = 2*l + 34. Let u(r) = -7*r + 8. What is w*g(y) + 5*u(y)?\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u\/((u\/((u*u\/u**(-2\/5))\/u))\/u))*u))**(-17\/3)*u**(3\/7)\/u*u*u**(-3) assuming u is positive.\nAnswer: u**(-1103\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 71 and 11.\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 26 - 1 = 4*n, 4*g + n = 55. Let m be 5\/1*6\/g. Solve -m*p = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -162*v - 119*v + 44*v + 3*v - 3*v - 2*v + (-2 + 3 + 1)*(0*v - 4*v + 3*v) - 2*v + 0*v + 0*v - 3 + 0 - 2*v + 0.\nAnswer: -245*v - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5522792890.3 - -0.06.\nAnswer: -5522792890.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 16360, 18537, 20714?\n\"Answer: 2177*w + 14183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/(8*15\/24). Solve 5*t = -4*j + 7, p*j + 11 - 16 = -t for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 94476?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c - 2. Let r be k(-4). What is the second derivative of -22*t**5 - 5*t + r*t + 28*t**5 wrt t?\nAnswer: 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h + 17 + 26 = -29 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233*w = 8*w + 1609 + 2666. Calculate the highest common divisor of w and 1216.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12cb47 (base 13) in base 4?\nAnswer: 1233133321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151*b - 110*b + 7*b - 79*b - 128*b.\nAnswer: -159*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19 - 5 - 6)*(y**4 - 12*y**4 - 3*y**4) to w*y**3 + j*y + v + h*y**2 + c*y**4 and give c.\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y. Let r(a) = 1391*a. What is f(r(i))?\nAnswer: -2782*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 8 - 3*k - 5 + 5 to the form l + t*k and give l.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1101 + 202 = -5*j + 701. Calculate the highest common factor of j and 3680.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121021 (base 3) to base 4.\nAnswer: -12313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v + 18675 = -6945. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 159 + -159. Suppose -r - 4*q = -281, g*r + 3*r = 4*q + 827. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 1104\/(-136) - (-112)\/374.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*k + 11*k - 1, -5*k - 451 = -3*u. What is the third derivative of 312 + 84*d**2 - u + 200*d**3 - 160 wrt d?\nAnswer: 1200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 88, 164, 240, 316?\n\"Answer: 76*x + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3960990 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 18734 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11903*v**6 - 28*v**2 - 3*v - 28.\nAnswer: -1428360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 97.69662 millilitres?\nAnswer: 0.09769662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 642?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 17. Let s = 169 + -149. Calculate the greatest common divisor of s and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -603?\nAnswer: -7\/603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**3 + 8*c**3 + 12 - 2*c**3 + 0*c**3 + c**3 - 4*c**4 + 8*c wrt c.\nAnswer: -48*c**2 + 54*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4950517698 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10579.177 times -1\nAnswer: 10579.177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1045, -1877, -2709, -3541, -4373?\nAnswer: -5205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (136 + -16)\/(-5) - (-51 - -58)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 32333064?\nAnswer: 32333064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-1))**6)**(38\/5)*((h**(-4\/3)\/h*h)\/(h**(-1\/5)\/h))**(2\/3) assuming h is positive.\nAnswer: h**(-4\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6638, 6634, 6636, 6644, 6658?\nAnswer: 6678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3129208, 12516710, 28162552, 50066740, 78229280, 112650178?\nAnswer: 153329440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 209 + 169 = 0. Calculate the highest common divisor of 105 and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -178791*m**2. Let q(n) = -8*n. Determine k(q(l)).\nAnswer: -11442624*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 34 = 3*u - 4*u, 10 = -t - 4*u. Suppose 2*v + t = 4*w, -v - 3*v - 5*w + 27 = 0. Solve 3*g - 20 = -5*s + s, v*s - 3*g = -6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 225.5 + -282. Let l = 56 + r. Let v be 2 - (-2 - 45\/(-12)). Which is the second biggest value? (a) v (b) 4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 4:46 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 378\/6 - (-3)\/3. Let x = d - 69. Let a(g) = -2*g - 5. What is a(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46057 = -194*n - 96727. Is n at least -735?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 323?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -146*j + 149*j - 12. Suppose -l + 197 = -3*t, -l + j*l = 2*t + 598. Is 23 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(2\/21)*r\/r**(1\/5)*r**4\/r**6 assuming r is positive.\nAnswer: r**(-31\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4051 is divided by 695.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101 + 59 + 6*d + 61 - 221.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/68 and 33\/1460.\nAnswer: 24820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 1713*q - 101. What is the hundreds digit of j(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3214662 and 2062236.\nAnswer: 109298508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 62824 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * -24.\nAnswer: -0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*y - 5 - 100 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-5)*(42\/(-4) - -8). Sort -7, 3, u in ascending order.\nAnswer: -7, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*j + 212 = d - 7*j - 21*j, -d = 2*j + 40 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -15*h - 28. Let f(m) = -7*m - 13. Let k(u) = -6*a(u) + 13*f(u). What is k(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 2:38 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8916, -36308, -63700?\nAnswer: -91092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 162, 1, 3 in ascending order.\nAnswer: 1, 3, 162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/6*54\/(-72). Let u(d) = d - 2. Let y be u(6). Suppose -5*b = -y*m - 9 - 11, -4*m = b - 4. What is the nearest to 0.2 in p, -4, b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (1 - -10) - (-2 - -3 - 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131052718, 131052715, 131052712, 131052709, 131052706, 131052703?\nAnswer: 131052700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - 0)\/(6 - 8). Let i be (2\/3)\/((-6)\/(-9)). Solve 2*o - i = z for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7059 + 7215. What is the least common multiple of 1495 and s?\nAnswer: 17940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103186 divided by 6.\nAnswer: -51593\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -250 - -655. Is 15 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15804583 or -15804584?\nAnswer: -15804584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4743.\nAnswer: 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -68 - -100. Let y = l + 55. Is y a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 9. Let m = -2574\/17 + 33496\/221. Which is the closest to f? (a) m (b) -1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2557208*f + 5114412. Give q(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 2:34 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-444)\/8 - -54) + 123\/90?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 times 3583?\nAnswer: -39413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.2 + -2.4. Let n = -5 + z. What is the biggest value in -3, -0.5, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3132*k = 3424*k + 2628 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000159962845 rounded to 6 decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22850.\nAnswer: 2, 5, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2000 - 2?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 130 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*b + 14 - 10, -4*b - 2 = -5*n. Let w(j) be the first derivative of -1\/7*j**3 - 6 - 1\/7*j + 1\/28*j**4 + 3\/14*j**b. Let w(g) = 0. What is g?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -131\/7. Let q = 4 + -3.6. Let h = 36 + -179\/5. Which is the closest to 1? (a) q (b) h (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001117 rounded to four decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7269296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(75) + sqrt(3))*3.\nAnswer: 9 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (y + 0 + 0)*(1 + 0 - 2)*(2*y - 7 + 7) in the form n*y + a*y**2 + v and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a - 1. Let g(h) = 1. Let u(j) = 6*j - 12. Let f(q) = 12*g(q) + u(q). Let w(p) = f(p) - 5*m(p). Calculate w(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -1. Let a = -6 - l. Let d(c) = 4*c**3 + 2*c**2 - 1. Let g be d(1). Sort g, a, 3.\nAnswer: 3, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -375, -3212, -10907, -25890, -50591, -87440, -138867?\nAnswer: -207302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 727932.\nAnswer: 2, 3, 60661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = b - 4 + 8, x - 4 = 5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 6*g + 9. Let t be q(-7). Suppose -f = a + t*a - 95, a + 3*f = 37. Find the common denominator of (a - 0)\/(-4*1) and -31\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11565, -2, 4.\nAnswer: -11565, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -2500.558 to the nearest 100.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 22143\nAnswer: -5\/22143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -16, -5*r = w - 5*w - 9. Suppose -42 = 2*t + 4*i + 110, -3*t + r*i - 272 = 0. Let a = -42 - t. Is 14 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31877 is divided by 1875.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -20, 6, 40, 82?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 91*i**2 + 514*i**2 + 225*i**2 + 7*i**2 + 516*i**2 as t*i + g + b*i**2 and give b.\nAnswer: 1353","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -155.84.\nAnswer: 157.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -106061*b**4 - 1037608 with respect to b.\nAnswer: -424244*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-1 + sqrt(800))**2 - (sqrt(32)*1 + -1)) - (sqrt(72) + -1 + 2*sqrt(72) + 1 + sqrt(96)\/sqrt(3))**2.\nAnswer: -163 - 44*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 10. Let w(t) = -5*t**2 - t - 1. Let m(k) = -5*k + 19. Let y be m(4). Let i be w(y). What is the third biggest value in i, r, -1\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -203528 - -14186\nAnswer: -189342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4768*d + 3. Let u(r) = -14317*r + 10. Give -7*h(g) + 2*u(g).\nAnswer: 4742*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 3 - 7)*(-2*v - 2*v - 2*v)*(-5*v + 4*v + 2*v) to d*v + l*v**2 + t and give l.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/13015449 or -68?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -155 + 166. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.6 - 1.4. Suppose 0 = -2*p - 2*j - 16, -3*p - 4*j - 23 = -2*p. Which is the closest to -0.1? (a) -3\/5 (b) v (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - m**2 - 9*m + 11. Give w(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34168 is divided by 11223?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -8*q + 24. Let g be t(3). Sort -5, -2\/9, g, -0.2 in decreasing order.\nAnswer: g, -0.2, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-46550)\/2793*(-42)\/(-20)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39 by -6.\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 481439959?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -181299 minus 13.672?\nAnswer: -181312.672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 3*r + 15, 2*j = -r + 3*j + 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 47, 57, 71, 89, 111, 137, 167?\n\"Answer: 2*x**2 + 4*x + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52.45 + 52.75. What is the third smallest value in -10\/39, 1, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63182052.\nAnswer: 2, 3, 585019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7508 greater than or equal to 7507?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -4387*b + 7 + 2096*b - 7 - 11*b**2 + 2191*b in the form a + z*b + o*b**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c**2 + 363*c + 11912. Let d(z) = 15*z**2 + 1818*z + 59559. Let f(t) = -5*d(t) + 24*n(t). Determine o so that f(o) = 0.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -26. Let u = -8 + w. Let f = -80 + 84. Solve u*r + f = -11 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1220012 (base 3) in base 7?\nAnswer: -4013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 6:08 PM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 251 + 171?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -69116304.7 to the nearest ten thousand.\nAnswer: -69120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10446*c**4*t**3 - 182*c**2*t**3 + 3*c*t**2 - c*t - 781*t**3 + 384 wrt c?\nAnswer: 125352*c**2*t**3 - 364*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9832.887 tonnes in kilograms?\nAnswer: 9832887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3939875*y**2 - 1900075*y + 3?\nAnswer: -7879750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39 (base 16) to base 8.\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*x - 92*x = 11*x - 11280. Calculate the highest common factor of x and 730.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - 8. Let o be 2\/(-6) + (-26)\/v. Let g be (-6 - 1) + (3 - 1). Which is the smallest value? (a) o (b) g (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4879000 to the nearest one hundred thousand.\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -590 + 590.926. Let c = 0.314 + -0.36. Let f = c + q. What is f rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4*o = -15, -v - o = -0 - 4. Let s be v\/(3\/(-9)*-1). Suppose -3*l = 4*i - 31, i + 2 = -s*l + 3. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q = -5*q + 924. Which is greater: q or -133?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 17\/8 (b) 2\/225 (c) 1 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -125 + 174. Find the first derivative of -54 - t + 40*y**2 + 90 wrt y.\nAnswer: 80*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(1 - (-50)\/(-45)). Let d = q - -10. Let p = -3\/2 + 3. What is the nearest to -1\/2 in 0.2, d, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 12*t - 14. Let u be n(10). Suppose u*d - d = 385. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*y - 48*y - 240 = 0. Let v = 92 + y. What is the greatest common factor of v and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -47700555.\nAnswer: 4\/47700555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (64\/(-24))\/((-5)\/(-1155)*22)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 2203.\nAnswer: 881.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4*44\/110\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5*l + 100. Give d(19).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35226 and 32126112?\nAnswer: 32126112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11732411?\nAnswer: 11732411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 2:04 AM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -10291, -2 in increasing order.\nAnswer: -10291, -2, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 141085203?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1835594857 to the power of 1\/2, to the nearest integer?\nAnswer: 42844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 1396, 5?\nAnswer: 1396","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h - 8*h + 61*h to the form d*h + o and give d.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33817, 33749, 33683, 33619, 33557?\nAnswer: 33497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 370820522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9855 and 4320.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**5 - 9*v**4 + 33*v**3 + 9*v**2 - 30*v = 0 for v.\nAnswer: -5, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 284557512 to the nearest integer?\nAnswer: 16869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*5\/45*9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4909?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (6 + -4 + -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 687*z**2 - z - 1. Let s be 10\/(-8) - (-3)\/12. Let l be u(s). Let o be l\/33 + (-2)\/(-11). What is the greatest common divisor of o and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 21 = -47. Let u(j) = 13 - 19 - 21 - 23*j + 13*j + j**2. What is the remainder when l is divided by u(13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9543 in -4, 1.51, -3?\nAnswer: 1.51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1564 - -2614. What is the lowest common multiple of j and 1225?\nAnswer: 7350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33*u - 27*u**2 + 4*u**2 + 2*u**2 wrt u.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5715 and 461645?\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 554 divided by 4\nAnswer: 277\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2*m - 6 = -0*m, -5*s + 3*m + 13 = 0. Let z be 1\/2*(-6 + 52). Solve -i - 4*i + s*n - z = 0, -i + n = 7 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from nnnnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 21*l - 79 + 3*l**2 + 26 - 5*l. Find the first derivative of r(y) wrt y.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 25*s**2 + 4*s. Let v(n) be the first derivative of 8*n**3 + 2*n**2 + 6. Let i(f) = -4*b(f) + 5*v(f). Suppose i(j) = 0. What is j?\nAnswer: -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25730 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ubfgiwf. What is prob of picking 1 w and 1 b?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vubbufvubbbub. What is prob of picking 1 v and 1 b?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 7*n + 11. Let j(i) = 3*i + 5. Let b = -10 + 16. Give b*y(s) - 13*j(s).\nAnswer: 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2. Let z be (-3)\/((81\/6)\/(-9)). Let i(p) = -298*p**2 - 2*p + z*p + 286*p**2. Give q(i(r)).\nAnswer: 288*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14.504 - 16.004. Which is the smallest value? (a) -5 (b) 4 (c) -3 (d) j (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3509804 to the power of 1\/2, to the nearest integer?\nAnswer: 1873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21b2 (base 13) in base 2?\nAnswer: 1001001100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 24 + 2*t**2 - 2*t + 86 + 33.\nAnswer: 2*t**2 - 2*t + 164","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*q + 11*q + 5*q + 8*q.\nAnswer: 15*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14776*k + 14766*k + 6*k**3 + 2 + k**2 - 2*k**2 - 3*k**3 to the form d*k + s + l*k**2 + v*k**3 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 105*r + 2381. Calculate g(-71).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5040 and 2240?\nAnswer: 20160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 10) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6*f**2 - 4*f**2 - 44 + 12*f**2.\nAnswer: 2*f**2 - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z - 2*z + z + 3 - 3*z. Let q(m) = m**2 + 11*m - 15. Give 2*q(a) + 11*x(a).\nAnswer: 2*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 7:13 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -132 - -133. Let y = 0.04 - 5.04. What is the closest to d in 1\/7, -1, y?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 34499700 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 153 and 466123.\nAnswer: 4195107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1259287 to the power of 1\/2, to the nearest integer?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, i: 5}. What is prob of picking 2 n?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2 - 21\/6)\/(24\/(-16)) + 46048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25506763639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*w + 16 = 0. Let v be w\/(-18) + 282\/(-54). Let x(b) = -17*b - 6. Is x(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35433 and 1395.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 (base 12) in base 6?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10814*s + 28022 wrt s.\nAnswer: -10814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 p when two letters picked without replacement from {p: 1, b: 3, i: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-17)*(q**(2\/51)\/q)\/q)**(1\/9))**20)**(-1\/56) assuming q is positive.\nAnswer: q**(4835\/6426)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d*p*w**3 + 2*d*p*w + 868*d*w**2 + d*w - 16*p*w**2 + 821*w**3 with respect to d.\nAnswer: p*w**3 + 2*p*w + 868*w**2 + w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 2, 0.3, -2, -2649?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47794273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1152)\/(-5832)*-27*33\/4.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 75*y**5 - 4510*y**4 + 63450*y**3 + 131120*y**2 + 53475*y - 9610 = 0.\nAnswer: -1, 2\/15, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -331011223 (base 4) in base 12?\nAnswer: -100977","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/3 (b) -4\/5 (c) 5 (d) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 5:25 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*d - 5*d + 2*d)*(3 - 1 + 0) as w*d + r and give w.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0.33, 10.95, 0, 0.3 in descending order.\nAnswer: 10.95, 0.33, 0.3, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/6*295\/(-590). Which is the nearest to 2\/5? (a) q (b) 33 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41438258 less than 41438258?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-5) + 8 + 264\/(-30). What is the nearest to 1 in d, -5\/2, 693?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*a = 37, -2*a - 2*a = 4*m + 124. Let r = -10 - m. What is the remainder when r is divided by 8 - -4 - (-1 - -1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178113521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1078521525?\nAnswer: 3, 5, 4793429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nargarggrrhnnfgnn. What is prob of picking 1 a and 1 h?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -7596432 divided by 2556.\nAnswer: -2972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -7667*g + 92005. Calculate y(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - l + 4. Let y be d(-4). Let b = y - 50. Let n = b + 117. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/110 and 223\/13650.\nAnswer: 150150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(-x**2 + x**2 - 2*x**5) - 4 + 4 - 2*x**5 + 21141*x**5 + 5261*x**5 - 5662*x**5 + 2727*x**5.\nAnswer: 23463*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6214547322 to the nearest integer?\nAnswer: 78832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 3\/7, 1\/5, 5, 69?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-6)*(-102)\/782)\/(12\/16)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -5*d**2. Let k(n) be the first derivative of -n**4\/12 + 5*n + 1. Let c(v) be the first derivative of k(v). What is w(c(p))?\nAnswer: -5*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 6*f**2 + 14*f + 6. What is w(8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-22)*(-10)\/15. Let u be 17\/(102\/(-18))*-1. Put n, 4, u, -2 in descending order.\nAnswer: 4, u, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25410 to the power of 1\/2, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 324, -10 in ascending order.\nAnswer: -10, -1, 1, 324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 16, -3*u - 8 = -5*r - 0. Suppose r*f = 5*f - 13. Calculate the remainder when (-6*(-84)\/8)\/1 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f + 3*f - f - f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - g**2. Suppose -3*i = 14*n - 12*n - 11, 0 = 5*n + 4*i - 17. Let o be f(n). Which is smaller: o or -1\/50?\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*1\/(-3))\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.373 + 177.527. Round f to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + c - 34 = -y, -2*c = -y - 26. What is the remainder when c is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268 a factor of 735142786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(1\/10)*i*i*i**(2\/7))**(-44) assuming i is positive.\nAnswer: i**(-5214\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (1 - (25 + -16))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38 + 38. Let r be (1 - (-700)\/(-345)) + 1. Is z > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -106*n - 1691. Let p be l(-16). Solve -p*v + 0 = -20, 3*f + 2 = -v for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1743241787?\nAnswer: 7, 35576363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -1\/34 (c) -1 (d) 1174 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -40.8.\nAnswer: 122.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-75)\/60)\/(((-10)\/24)\/(284\/1065))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 at most 592?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5508 (base 9) to base 5\nAnswer: 112213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -3) + (1 - -3) - (25 - 21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**2 - 1130 + 3394 - 1134 + 42*k**3 - 1129 to the form f + s*k**3 + x*k**2 + m*k and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -20*z**3 - 2*z**2 + z + 7. What are the prime factors of v(-3)?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 162562366 (base 7) to base 2.\nAnswer: 101010000111011110100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -21*t**3 - 646*t**2 + 4*t - 5. Let i(k) = 25*k**3 + 646*k**2 - 5*k + 6. Give 6*f(r) + 5*i(r).\nAnswer: -r**3 - 646*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -392 - -498. Let g be f\/12 - (-10 + (-26)\/(-2)). Suppose -11\/6*y**2 - 1\/6*y**3 - g*y - 25\/6 = 0. What is y?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -562 and 0.009.\nAnswer: -5.058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 4 + -1 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2541742*t - 7864849 wrt t.\nAnswer: -2541742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -18*l**2 - 98*l - 2622. Let i be n(-26). Do i and -12242 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83154*3.\nAnswer: -249462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a + 14 = 110. Let p = 3 + 0. Let x = p - -129. Calculate the highest common divisor of x and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 - -82. Let p(h) = 3*h**2 + 4*h + 8. What is the remainder when r is divided by p(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 32. Suppose 0 = -4*j + 1 + k. Solve -3\/2*s + 3\/2*s**2 - 1\/2*s**j + 1\/2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from wueue.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1756, 1761, 1770, 1783, 1800?\nAnswer: 1821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9\/(-6) - 0)*2. Let m = c - -3. Suppose -7*s + 2*s + 10 = m. Solve s*n + 3*n - 10 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11278 to the power of 1\/2, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 times 897118?\nAnswer: 69975204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -388.86 + 388.8. Which is the nearest to x? (a) -0.08 (b) 0 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-18)\/10)\/(309\/(-150) + 2). What is the greatest common divisor of v and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, o: 7, y: 5, m: 3, g: 3}. What is prob of sequence ymyg?\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and -120369.466.\nAnswer: -120365.466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-7)\/14*-10\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1572)\/96 - (-5)\/(-80)*-6.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 2 + (-35)\/15. Is 0 greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + w**2 + w**3 + (-3*w - w**3 + 3*w)*(-1 - 3 + 2) - 2*w**3 - 3*w**3 + 3*w**3 + (9*w**3 - 2*w**3 + 0*w**3)*(0 + 2 - 3))*(w - 2*w + 4*w).\nAnswer: -18*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v*v\/(v**(1\/22)*v))\/v*v)\/v)\/(v*v**(4\/3)) assuming v is positive.\nAnswer: v**(-91\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -1958*g - 3850. Let l be x(-2). Suppose m - 24 = -4*h - 0*m, 3*h = 5*m + 18. Calculate the greatest common factor of h and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y - 2. Let j be a(4). Suppose j*m = -m. Solve -2*v + 5*v = -2*l - 10, m = -l - 3*v - 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -23. Let z = g + 22. Let b be -1 - -3 - (-2 + z). Is -4 < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.19 - 9313524177\nAnswer: -9313524177.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 33809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -4, 5\/3, -15?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3418, 3422, 3426, 3430, 3434?\nAnswer: 3438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/12)\/((-1)\/2*8\/16).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -42304\/7 or -6043?\nAnswer: -6043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -146b3 - 16?\nAnswer: -146c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45032*r**5 + 3*r - 16741 wrt r.\nAnswer: -900640*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3*y. Suppose -4*v - 7 = -2*h + 7, 4*v + 5*h + 7 = y. Let r be 2\/(-4)*0\/(-1). Sort r, 5, v.\nAnswer: v, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -1\/60*u**5 - 4\/3*u**3 - 1\/24*u**4 + 0 + 3*u**2 + 0*u. Give z(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 4:05 PM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -109 + 118. Let a be -48*(-1 - (-1)\/(-2)). What is the greatest common factor of u and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 m, and 1 i when three letters picked without replacement from {i: 1, o: 1, x: 1, t: 1, b: 1, m: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q - p + 6*p + 10, 3*q = -4*p + 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 11*h - 11. Let z be 2\/4 - 693\/66. What is d(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 l when four letters picked without replacement from bbpekbbseselb?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*v + 6*v - 7. Put 2, -3, -2, v in descending order.\nAnswer: 2, v, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 918 a factor of 19744344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + y - 2*y)*(-1 + 4 - 6)*(3*y - 2*y + 2*y + 4*y - 4*y - y - 3*y + 5*y - 4*y + (-3 - 4 + 5)*(-y + 4*y - 2*y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 736*q*t**3 + 2*q*t**2 + 4*q*t + t**3 - t**2 - 10*t - 2 wrt t?\nAnswer: 4416*q*t + 4*q + 6*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 13. Suppose 0 = -14*n + 89 + 415. Suppose 0 = -18*l + 20*l - n. Calculate the least common multiple of l and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c73d + 7?\nAnswer: -c736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 16680, 33442, 50204, 66966?\n\"Answer: 16762*t - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.43 - -0.53. What is the closest to -0.3 in -1\/7, n, 0.5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10461.6227 rounded to the nearest one hundred?\nAnswer: -10500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (sqrt(3) + 3 + -2)) + 5 + sqrt(33)\/(sqrt(99)*6))*-6.\nAnswer: -24 - sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 93\/30 + (20\/4)\/(-50). Suppose -4*z - 5 = -a, -5*a + c*z + 25 = -2*z. Let o(x) = x + 5. Let v be o(-5). Solve 0*s + 2*s + 5 = 5*l, a*l - 3*s = v for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 4*p - 19 - 17, -27 = -3*p + 4*j. Suppose 3*z - p*z = -4038. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -571729800 rounded to the nearest 1000000?\nAnswer: -572000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 464871?\nAnswer: 929742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -f - 2*f + 12, 3*f - 12 = 4*v for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-6*12\/(-180))\/(2\/(-20))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 206, 818, 1838, 3266, 5102, 7346, 9998?\nAnswer: 13058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3017471.\nAnswer: 3017471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqq. What is prob of sequence qqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 351 in increasing order.\nAnswer: -3, -1, 351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34530 = 6*a - 0*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**5\/2 + 11*g**4\/2 + 33*g**3\/2 + 37*g**2\/2 + 7*g = 0. Calculate g.\nAnswer: -7, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1554159031?\nAnswer: 1554159031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -m**6\/60 + m**5\/15 + 5*m**3\/6 - 8*m. Let y(f) be the second derivative of o(f). Find the second derivative of y(d) wrt d.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/6 (b) 14003 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 28*p**2 + 286*p - 77. Let h be d(-36). Sort 5, h, 1, -2, -3 in descending order.\nAnswer: 5, 1, -2, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + b + 2. Let v be m(1). Suppose -v*o = -41 + 5. Calculate the greatest common factor of 6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1502730871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2. Let f(b) be the second derivative of b**4\/2 + 14*b. Calculate f(g(w)).\nAnswer: 6*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1))**(-1\/20)\/(q**(-8)*q**(-6)))**(6\/11) assuming q is positive.\nAnswer: q**(843\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 1:48 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(((-1197)\/42)\/19 - -2 - (-1)\/(-6)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2216 - 2241634?\nAnswer: -2236415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2200\/2805 + 6\/(-51)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 6*w**2 + 494*w - 15856. Let r(g) = g**2 - g + 2. Let s(q) = -m(q) + 10*r(q). Let s(i) = 0. Calculate i.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -2950450?\nAnswer: -1\/2950450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t - 5*t**2 + 32*t + 7*t**2 - 3*t**2 to the form s*t + q + b*t**2 and give s.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1723*x - 1887*x + 5165*x to r*x + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 3:48 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 7 + 4)*(2*h**2 + 1 - 3*h**2 - 3).\nAnswer: -17*h**2 - 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/6*(-25 - 2). Let f = k - -104. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4375 - 0.1375. What is the third smallest value in 44\/5, 7, m?\nAnswer: 44\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence szzg when four letters picked without replacement from gzpzss.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 372*m - 122*m + 0*m**3 - 128*m - 5 + 3*m**2 + m**3 - 127*m. Suppose -i + 0*i = 1. Let f = i + -3. What is u(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 192.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*w**2 - 148*w**2 + 463*w**2 - 156*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393836 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6690440?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.5, 4, -18, -14, 2\/5.\nAnswer: -18, -14, -3.5, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (52\/(-6))\/((-1)\/6).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 2\/9, 2\/26625, -1 in descending order.\nAnswer: 8, 2\/9, 2\/26625, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 315 and 441.\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 193314 divided by -96657?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*n - 99*n - 5*q - 13 = 0, 62*q + 56 = 3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 + (7171\/6)\/71)\/(3\/(-36))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 14 = 4*j + 4*o, 0 = -4*j + 2*o + 12. Let y(l) = -4*l + 2*l + 3*l. Let p(r) = -3*r + 1. Let n(g) = -p(g) - 4*y(g). What is n(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 959 is divided by 54.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -11. Let p(z) = z**2 + 7*z - 12. Let x be p(b). Solve -r + x = 2*r, 4*r - 7 = -u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*p + 36*p + 40 - 4 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29 - 5 - (-3 + 11)) + -7.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -12. Suppose -r + 2 + 1 = i. Let h = -307\/10 - -69\/2. Which is greater: r or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.35 - 190.15. Let h = -197 - f. Let b = 0 + 0. What is the closest to b in -4, h, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, -65.4 in descending order.\nAnswer: 6, -4, -65.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/152953?\nAnswer: -1\/152953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1464737 * 0.05\nAnswer: -73236.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/375026 and 41\/6?\nAnswer: 1125078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 3:50 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 142*c - 18*c - 29*c + 0.\nAnswer: -189*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 683*p + 79*p - 8952 = 1508*p for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*v - 27*v + 11*v)*(-v**3 + 5 - 5 + 2 + 5*v**2)*(0*v + 2*v - v).\nAnswer: 47*v**5 - 235*v**4 - 94*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19407465 divided by 385.\nAnswer: -50409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65 + 81. Suppose -3*o - r = -2*o. Let f = o - -85. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 712527 is divided by 1015.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 74 and 4431712?\nAnswer: 4431712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 335631*p - 336344*p - 713 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2770.2478 plus -1?\nAnswer: -2771.2478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 - 57624764*f**2 + 207538367940860*f - 207538310316100.\nAnswer: 4*(f - 7203095)**2*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 o when four letters picked without replacement from ssssssosoosopoosw?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*t = 340, -5*d + 1408 = -d - 4*t. Let k = d - 35. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2846586?\nAnswer: 2, 3, 137, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -57*n**3 - n**2 + 2*n + 2. Let l = 95 + -96. Does 8 divide r(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -31 and -2204396.\nAnswer: 68336276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1539987949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhppph. What is prob of sequence hp?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qyqayyllqaaayqlqqaq. Give prob of picking 3 y.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {y: 9, i: 9}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t**3 - 19*t**2 + 13*t + 5. Let c(j) = -3*j**3 - 19*j**2 + 17*j + 6. Calculate -4*b(m) + 3*c(m).\nAnswer: 3*m**3 + 19*m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-4))\/(((-1920)\/(-28416))\/(20\/6)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70 - (-60)\/192*-176?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -4, 4*q + 4*t + 23 = 7. Let y(v) be the second derivative of v**3\/6 + v**2\/2 + 3*v. Let b(s) = 6*s + 5. Calculate q*y(m) + b(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 753786.8 kilograms?\nAnswer: 753786800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-11 - -14) - 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -q**3 + 1. Let p(k) be the second derivative of -k**3\/3 + 21*k. What is x(p(z))?\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33592083.\nAnswer: 3, 7, 251, 6373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 1:47 PM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 387 + x**3 - 202 - 4*x - 34*x + 10*x - 198 in the form z*x + q + f*x**3 + o*x**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8480.44g to nanograms.\nAnswer: 8480440000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h - 1. Let g(o) be the third derivative of 0 - 41*o**2 + 0*o - 1\/2*o**3. Calculate g(r) - 2*u(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 22 = -16. Let r be ((-66)\/9)\/((-1)\/6). Let k be r\/30 - 8\/12. Which is the smallest value? (a) 5 (b) d (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 26*y + 75 = 13*y, 0 = -2*f - 2*y. Calculate the highest common factor of 38575 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 37407 - -50?\nAnswer: 37457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-10))\/(-3 + 1)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45790417 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 46450.44 minutes?\nAnswer: 2787026400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -6*i + 22. Is i greater than or equal to 6\/961?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48160 by 9632.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*j - 5*q + q, -3*q + 24 = 3*j. Let m(t) = -t**2 + 2*t + 3. Let y(u) = -u**2 + 2*u + 2. What is j*y(p) - 2*m(p)?\nAnswer: -p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 226 - 227. What is the hundreds digit of (b - 0)*3\/(-6)*778?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6887 - -15469. Is h a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 11:41 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of 5*y**5\/12 + 13*y**2. Let t(k) = 2*k**2. Calculate t(z(s)).\nAnswer: 1250*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -282.72741 - -0.08741. Round m to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-25) + (5 - (-78)\/(-10))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 2097171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + d - 85. Let w = d + -15. Suppose -2*c + 4 = -w. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 8*m - 1. Let r be f(-9). Let x = r + -9. Is x - (-1 + 25)*-4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2)\/(-4))\/(-1) + 1419\/495 and -37\/102.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 180 and 60481350.\nAnswer: 120962700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vaka when four letters picked without replacement from {v: 1, k: 2, o: 1, f: 3, a: 4}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence deyd when four letters picked without replacement from dpeepdeyeedpyeemyd?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1760)\/(-121660)*-79*(-2)\/10*7.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 2*f - 2*f**2)*(-2*f**2 + 9*f - 19*f + 13*f).\nAnswer: 4*f**4 - 6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 1032 = -2*c. What is the least common multiple of 8 and c?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3230612 divided by 2618.\nAnswer: 1234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 123056992193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -300 - 3441304?\nAnswer: -3442004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/54 and 26\/3*(-135)\/(-288).\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 94, 319, 638, 1003, 1366, 1679, 1894?\n\"Answer: -8*j**3 + 95*j**2 - 4*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -348 and 3.\nAnswer: -1044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.0592 (b) 22 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 + ((-4)\/4 - 1 - -1). Suppose -4*u - 1241 = 5*d - 8644, -2*d + 9241 = b*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - (4 + 4)) + (12 - 2).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*l**5)*(-14 + 21 - 17).\nAnswer: -20*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 1186*n**4 + 70*n**2 + 14*n + 3062. Let j(f) = -395*f**4 - 25*f**2 - 5*f - 1021. Let i(q) = 14*j(q) + 5*y(q). What is the derivative of i(x) wrt x?\nAnswer: 1600*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 479\/4 + -119. Sort -0.3, p, 0.4 in decreasing order.\nAnswer: p, 0.4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 61184497 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 4*j - 11 = 0, 13*h + 0*j + 4*j = 69 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 132907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 17*n**2 - 1730*n + 206. Determine l(-51).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -p - x + 4*x, 0 = -5*p - 2*x + 182. Calculate the remainder when p\/8*(12 + 0) is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12015 divided by 16010.\nAnswer: 2403\/3202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -700293 (b) 3\/4 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + -1. Let q be (-4)\/6 + -1 + (-45)\/(-15). Which is the nearest to 2? (a) k (b) 2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 198152, 198151, 198150?\n\"Answer: -v + 198153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 612 and 611928.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 14*h**2 - 2*h + 8. Let n(i) = -5*i**2 + i - 3. Let v be 5 + 200\/(-12) - 6\/(-9). Determine v*n(o) - 4*p(o).\nAnswer: -o**2 - 3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -10823623?\nAnswer: -10823627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((2*sqrt(153))**2 - (sqrt(17) + (sqrt(68) - 2*sqrt(68))\/sqrt(4))) + (sqrt(187)\/sqrt(176) - (sqrt(17) + (1 + sqrt(17))**2 + 2)).\nAnswer: -11*sqrt(17)\/4 + 596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -205*m**2 - 429643*m - 233102272 wrt m?\nAnswer: -410*m - 429643","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 14056 (b) 1\/9 (c) 5 (d) 1 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 + -14. Let r = -40 - u. Which is the closest to 1? (a) -5 (b) -0.07 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(242)*-2*-1 + -5 + (-4*(1 + sqrt(242)) - (sqrt(242) + 1)*-1) + -1)**2.\nAnswer: 132*sqrt(2) + 278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + k + 6, 3*k = 3*p - 15. Let b(t) = 2*t**5 - 5*t**4 + 3. Let v(o) = 2*o**5 - 6*o**4 + 4. Let m(z) = p*v(z) - 4*b(z). Factor m(l).\nAnswer: -2*l**4*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 5. Suppose -t*k + 0*j + j = 30, -4*k - 38 = 2*j. Let n = k + 22. Calculate the remainder when 29 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 169556609?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1160500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(((-2)\/(-5))\/(-6 + 8)). Solve 0 = -v + 2*f - 1, -3*v + p*f = v - 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-30)*((-203)\/(-28))\/(-29)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/15? (a) -228 (b) 4\/3 (c) -2\/19 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 1020 = -4*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -361793\/8 + 45083. Let f = 138 + m. What is the common denominator of f and -43\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**3\/a)\/(a**(-9)\/a)*a\/a**5*a*(a\/a**4)\/a)**46 assuming a is positive.\nAnswer: a**276","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34038, 13, -4 in descending order.\nAnswer: 13, -4, -34038","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5899 take away 227241808?\nAnswer: -227241808.5899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 25*z**2 - 71*z - 36. Let o be j(-22). Sort o, -4, -2, -3, 3 in descending order.\nAnswer: o, 3, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -113 - -113.000071. Round p to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/171 + (-4)\/162*-9\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 21 = 7. Suppose -r*p + 92398 = -f, 4*p = 2*f - 29703 + 122103. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u**3 - u**2 - 3. Let c be h(-3). Let l = -125 - -161. Suppose s = 2*y, -3*s = -0*y + 3*y - l. What is the greatest common divisor of c and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of -13*f**4\/6 + 11*f**2\/2 + 28*f. What is the derivative of g(t) wrt t?\nAnswer: -52*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46410 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 228681 and 9.\nAnswer: 228681","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-758.81.\nAnswer: -227.643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120002 + -222012?\nAnswer: -102010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.099, -54, 0.4, 8.6, -0.2?\nAnswer: -0.099","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4 + 3 + (0 + 3 - 5)*(-2 + 2 - 2))*(2 - 2 - 1)*(-3 + 3 - 5)*(-13*u - 4 + 4) to the form o*u + w and give o.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 964954795?\nAnswer: 5, 7, 967, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 1482*x + 27. Let w(i) = 2965*i + 58. Let q(d) = 9*g(d) - 4*w(d). What is the units digit of q(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17424 divided by 121\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -7*h**2. Let z(a) = a**2. Suppose 0 = -7*p + p - 30. Determine p*z(n) - b(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 0*p**2 + 0*p**2 + (2 - 2*p - 2)*(-4*p + 5*p + p) + p**2 + 3 - 3 + 7*p**2 + 57*p**2 + 35*p**2)*(0*p + 0*p + p)*(0 + 3 - 5).\nAnswer: -190*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2251 - 4?\nAnswer: 2243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 12:46 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w - 6. Let h(n) = n**3 + 2*n**2 - 4*n + 1. Let x be h(-3). Calculate the remainder when d(6) is divided by -8*1*(-2)\/x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1994, 3, 2, -3 in increasing order.\nAnswer: -1994, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*m + 17*m + 6*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 625*s - 621*s - 24 = -4*u, 2*u - 3*s = -13 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -124.018 + 0.018. Let o = y - -126.1. Which is the second smallest value? (a) 0.3 (b) -3\/8 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/18)\/(3\/(9\/2))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(-1))**(-1\/58)\/((k\/k**(-1))\/k)**(-37) assuming k is positive.\nAnswer: k**(2145\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + 635*t + 18558. Determine z(-28).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a week in seconds?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n**3 + 2*n + 2. Let y be l(-2). What is the third derivative of -7*o**4 + 0*o**2 + y*o**4 - 13*o**4 - 4*o**2 wrt o?\nAnswer: 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -662 (base 9) to base 4\nAnswer: -20132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -936 - -855. Suppose 3*h - 327 - 24 = 0. Let q = w + h. Does 18 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-22)*(-1 + 0). Let b(d) = 2*d + 6. Let i be b(-4). Let w = -1 - i. Is k smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1293, -1346, -1399?\n\"Answer: -53*k - 1240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(425\/10) + 2433\/(-17). Let k = -127 - y. Is k <= 31\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 440 + -3?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -141305 and 0.22.\nAnswer: -141304.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 587 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107580 = -4*i + 5*j, -2361*j + 2356*j = -i + 26880. List the prime factors of i.\nAnswer: 2, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-3 - (-13 + 3 - -3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*i + 6 - 76. Suppose 0 = i*f - 975 - 348. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 375315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 20, 31, 42?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 6:20 PM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 y when two letters picked without replacement from {v: 5, p: 4, y: 2}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10170?\nAnswer: 2, 3, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -q**7\/126 + q**6\/45 + 3*q**5\/5 + 43*q**4\/18 + 77*q**3\/18 + 4*q**2 + 12*q. Determine g so that h(g) = 0.\nAnswer: -3, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3444\/36162)\/(2\/693)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 233090 + -351471. Let s = -118380.599965 - o. Let f = s - 0.4. What is f rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 78073 - 3025 - 3608 = 0. Calculate the lowest common multiple of t and 16.\nAnswer: 14288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 13422?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 410\/(-328)*18\/(-15)*(-44)\/2?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, e: 2, f: 2, s: 1}. Give prob of sequence jfe.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 28 = 4*t, -4*t + 1075*i = 1072*i - 44. Put -5, t, -49 in descending order.\nAnswer: t, -5, -49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3431817, 6863909, 10296001, 13728093?\n\"Answer: 3432092*u - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 346*d - 234. Let t(l) = -2*l + 1. Let h(j) = 6*t(j) + y(j). Differentiate h(s) with respect to s.\nAnswer: 334","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 17 = 3*w - 2, -u - 2*w + 1 = 0. Let m(r) = r**3 + 8*r**2 + 9*r + 7. What is m(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.36 to 2 decimal places.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -38343857, -76687716, -115031575, -153375434, -191719293, -230063152?\n\"Answer: -38343859*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1825763627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-27))\/1 + (1 - 0).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - (-13 - -19)) + 9?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*v + 289 + 6767 = 0 for v.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.4, -620, 0.2, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -302 at most as big as -99599\/330?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6325, -6321, -6315, -6307, -6297?\n\"Answer: r**2 + r - 6327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) 4\/9 (c) 85\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -200.3453 rounded to the nearest integer?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265549 is divided by 429?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27.94 - -18.53. Let l = r - -1.31. Round l to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 + 138. Let k be (-2)\/(-10) - 231\/u. Which is greater: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -943*z**3\/6 + 98*z**2 + 560*z. Differentiate t(p) wrt p.\nAnswer: -943","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 93 + -99 + (1 - -27).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 20 = -2*q, -5*q + c = 2*c - 23 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -1\/3*s**3 + 0 - s**2 + 1\/120*s**6 + 1\/30*s**5 - 1\/24*s**4 + 0*s. Factor m(f).\nAnswer: (f - 1)*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6138)\/(-44))\/31*(-3)\/9?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 4*w**2 - 1577040*w + 155440947600 = 0.\nAnswer: 197130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1377)*-2*6.\nAnswer: -108*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qhqhdhq. What is prob of sequence qq?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19126466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -115*g + 0*g**3 + 0 + 0*g**4 + 0*g**5 + 139\/2*g**2 - 4\/5*g**6. Find the first derivative of m(s) wrt s.\nAnswer: -96*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 122208434078.06?\nAnswer: -122208434080.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7338 and 8788478.\nAnswer: 2446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13321 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 372210104 a multiple of 712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = a - 7, x - a + 4 = -0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2 + u - 1. Let h(b) = -9*b**2 - 7. Let z(x) = -h(x) + 4*v(x). Suppose 0*a + 3*a - 4*s = -10, 0 = -3*s + 3. Calculate z(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 4*g + 80, g = -2*g - 12. Let x be 1\/3 + m\/(-6). Find the second derivative of 5*c**x - 5*c**3 - c**4 + c wrt c.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 334 - 331. What is the greatest common divisor of j and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386046 is divided by 358?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4643547 minutes in milliseconds?\nAnswer: 27861.282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 - 56. Let n(g) = -4*g**2 + 6*g. Let m be n(10). Is 17 a factor of (m\/z)\/(4\/10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**0*w)\/w)\/w*(w\/(w**(1\/7)*w)*w)\/w*(w*w**(-3))\/w**(-7) assuming w is positive.\nAnswer: w**(34\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2.12897 * 1.7\nAnswer: -3.619249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4221556 is divided by 253.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -281237*t + 5624724. What is v(20)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 10*a + 9. Let o be z(11). Is o\/(-1) + 20 + -3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3588*k - 5814. Let r(c) = 1795*c - 2904. Let g(b) = -7*r(b) + 3*u(b). Differentiate g(y) with respect to y.\nAnswer: -1801","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y + y**2 - 5 - 2*y**2 + 4. Let w = -6 - -9. Let j be b(w). Is -2\/7 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 2\/43 (c) -6452\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 11, x: 1, g: 5}. Give prob of sequence gqxq.\nAnswer: 55\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5651772, 5651773, 5651774?\nAnswer: 5651775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4 = -2*j, j + 3*j = 12. Let g be (-456)\/(-266) + (8\/14)\/n. Suppose -774 = 3*b - 7*b + 2*u, 10 = -g*u. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.695 to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hwwwbwwbwwhxhhwhhhw. Give prob of sequence whw.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -3*g + 198. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 77 - 98. Let i be 0 + (19\/7 - 6\/r). Find the third derivative of 34*o**5 - 3*o - 3*o**2 + i*o + 0*o wrt o.\nAnswer: 2040*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9084 take away -58?\nAnswer: -9026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) 2\/17 (c) 0.07 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3 = 14. Suppose 0 = i + 2 + u. Calculate the lowest common multiple of 2 and (-2 - i)*4\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14.3544+-23.325\nAnswer: -37.6794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 23.82 and 0.4?\nAnswer: 23.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -43*(-7)\/((-7)\/13). Let f = -181 - n. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 2133?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 898 is divided by 156?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + -3)*8\/28. Which is the second biggest value? (a) q (b) 2\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + p - 28 = 0, 3*m + 2*p = m + 20. Suppose b - m = 4*b. Let h = b + 8. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1377366*t + 1377366*t - 537*t**2 - 3*t**3.\nAnswer: -3*t**3 - 537*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2a7478 (base 13) to base 3\nAnswer: 1222001120122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 18\/7 (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -2*f - 2*f + 37, u = 5*f - 20. Let w(v) = -2*v - 8. Let b be w(-5). Let l = b + u. Sort 1, l, 4 in descending order.\nAnswer: 4, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**3*t)\/t**(-4)*t\/(t\/t**(-4)*t*t*t*t)*(t\/t**(-1\/5))\/t assuming t is positive.\nAnswer: t**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**3 + 222*v**2 - 6142*v + 5922 = 0.\nAnswer: 1, 47, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(-31*f**2 - 3*f**3 + 64*f**2 - 30*f**2).\nAnswer: 6*f**3 - 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21002202221 (base 3) to base 11.\nAnswer: -96045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 6:00 AM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 242 divide 84115112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 6:55 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36077?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10046.\nAnswer: 2, 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40123181 and 2996.\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**(-2\/5))**(-5))**(-19\/4))**(-2\/25))**(3\/26) assuming j is positive.\nAnswer: j**(57\/650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 9*z - 4638 + 4405, 3*f + 20*z - 534 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 4*n**2 + 24*n + 19. Let w be s(-7). Let p be (-1)\/w*(-36)\/(-27). Which is smaller: 119\/4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03963537495 rounded to 5 decimal places?\nAnswer: 0.03964","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -74, -17, -1, 1 in decreasing order.\nAnswer: 1, -1, -4, -17, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 19.5. Let t = -3.8 + 0.8. Which is the biggest value? (a) t (b) i (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 3*g - 15, -5*o = 4*g - 3819 + 3799 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 15*m**2 - 9*m + 17. What are the prime factors of o(4)?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48145.99821288 - 48146. Round f to five decimal places.\nAnswer: -0.00179","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 0.3, -8, 10, -12?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114704440 divided by -6956.\nAnswer: 16490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-59)\/((-2478)\/252) + 7*56\/(-65)?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10109292 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + j - 9125, 3051 = -32*w + 33*w - 2*j. List the prime factors of w.\nAnswer: 17, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and -32.\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + h**2 + 4*h + 2. Let v be p(-3). Suppose v + 12 = 3*n + 2*j, -5 = -5*j. Is 6 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r. Let y = 205 + -189. Let w(m) = 0*m - 53*m + y*m. What is a(w(t))?\nAnswer: -37*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o**2 + 4*o. Let a(b) = -b**2 - 2*b + 1. What is -10*a(f) - 4*w(f)?\nAnswer: -2*f**2 + 4*f - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/600882 and 37\/16303.\nAnswer: 4206174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2925*p + 84830. Give l(29).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -470613*-0.89.\nAnswer: 418845.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, x: 7}. Give prob of picking 1 x and 1 t.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + w - 7 = 0, -4*x + 2*w + 2*w = -4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 11*m**2 + 19*m + 12. Let j be f(-9). Suppose -j*s + 422 = -55. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 6365769.822\nAnswer: -6365769.422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 4. Suppose -p*a = -3*a + 16. Let c be 9\/(-36) + (-13)\/a. Solve 5 = -5*i, -t + 3*t - 13 = c*i for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -192 - -17?\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q - 3. Let r be i(-7). Let k = 19 + r. List the prime factors of (82 - 0\/2)\/k.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifty-two thirds of a day?\nAnswer: 24960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p + 10*p - 15*p - 1 + 3*p**2 - 2*p**2 + 4*p. Let j(i) = -4*i**3 + 18*i**2 + 36*i - 38. Let g(m) = j(m) - 6*z(m). Factor g(n).\nAnswer: -4*(n - 4)*(n - 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-2*sqrt(285))\/sqrt(5))\/(sqrt(6)\/sqrt(2)*-4).\nAnswer: -5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.059 months to decades.\nAnswer: 0.183825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3665778*h**3*n - 6*h**3 + 127459*h with respect to n.\nAnswer: -3665778*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/10 + (-10 - -13)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 16 (b) -0.9 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/7 + 1 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.36 + -0.35999997. Round d to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 488 = -21*q + 656. Let j(u) = 3*u + 3. Let f(a) = -10*a - 9. What is q*j(b) + 3*f(b)?\nAnswer: -6*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*z + 696 = 480 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cyccycy. Give prob of picking 3 c and 1 y.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g*v**4 + 2*g*v**3 + g*v**2 - 3027*g*v + 30*v**4 + 47*v**3 - 2*v**2 wrt v.\nAnswer: -48*g*v + 12*g + 720*v + 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16)\/48 - 1\/(-3)*16. Let p be (-20)\/(-15) + 16\/6. Suppose 1 = q - p. Solve 40 = -z*o + a - q*a, 3*o + a = -17 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (47 + -9 - 9 - 93) + -2.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 92438 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -136 - -138. Solve -p + 5*d = -x - 4, -5*p + 2*d = -7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 857 - 555. Let j = 4.57664888 + -306.57649988. Let g = o + j. Round g to 5 dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -682 - -815. Let g = 81 - 47. Calculate the remainder when h is divided by g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004810899 to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1594 divided by -57.\nAnswer: 1594\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -91, -4, -0.06, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**0)\/(v**(-2\/13)*v*v))\/(v\/v**(-4)*v**(-1)) assuming v is positive.\nAnswer: v**(-63\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k + 5. Let i be o(0). Suppose -3*h = -h - i*a + 4, -3*h + 2*a + 5 = 0. Solve 0*s - 9 = -h*v - s, -3*s = v - 11 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4 + 814*i**3 - 2460*i**2 - 7358*i - 4085.\nAnswer: (i - 5)*(i + 1)**2*(i + 817)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 8\/44 - (-3 - (-60)\/(-33)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -808 + 514. Let n = 325 + q. Is n a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 11*v - 12. Let u be i(-9). Let n(k) = 2*k - 9. Let p be n(u). Solve -p*o = -2*m + 4, -3*o + 2*m - 4 = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 3*i + 5 = 0, 0 = -4*i + 7*i. Let g(a) = -22*a + 3. Calculate the remainder when 1568\/24*3\/2 is divided by g(h).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31515, -31510, -31505, -31500?\nAnswer: -31495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -70179*c**2 - c + 2783.\nAnswer: -140358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/14 - (-2014)\/7098. Let f = -1529\/4056 - g. Which is the fourth smallest value? (a) 0.4 (b) 2\/3 (c) 5 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8285 + 4275. Round d to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 4*f**5\/7 + 323760*f**4\/7 - 12*f**3\/7 - 971288*f**2\/7 - 647520*f\/7 = 0.\nAnswer: -80940, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by 59939.\nAnswer: -15\/59939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*y - 6 - 5*y + 2 - 2*y with respect to y.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h - 12. Let t be p(7). Let l(y) = 3*y. Let f be l(1). Suppose 0 = -c, w + f*c = -w. Solve w = z - 5*z + t for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-224))\/(1\/(-4)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -1\/3, -0.02, 0.5, -19?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*l*p**4 - 128700871*l*p**3 - l*p - l - 2*p + 24499329 wrt p.\nAnswer: -60*l*p**2 - 772205226*l*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -359, -1448, -3265, -5810, -9083, -13084, -17813?\nAnswer: -23270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2128.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1257 is divided by 148.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 95 = 10*k, 2*k - 165*i + 163*i - 16 = 0 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 9 = -2*o, 4 - 8 = -4*k. Let c = -12 + 14. Suppose n + c - 7 = 0. Solve -4 = -o*q + n*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -846 + 1044. What is the greatest common divisor of d and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 623 is divided by 356?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(13\/7)*s**27)**(-1\/9) assuming s is positive.\nAnswer: s**(-202\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-18)*1*120\/(-1))\/((-742)\/(-1113))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 + o**2 - 2*o**2)*(3*o - 17 + 5 - 21).\nAnswer: 3*o**3 - 33*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -4*d - 52 - d**2 - 6*d + 60. Let z be f(5). Let a = -150 - -84. Which is greater: a or z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 12 = 38. Suppose -6*h + v = -h. Let u = -1583 - -1588. Solve 0*o = -2*a - u*o - 27, -h*a + 3*o = -13 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 10180, 20419, 30658, 40897, 51136, 61375?\n\"Answer: 10239*h - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -27270703 rounded to the nearest 100000?\nAnswer: -27300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/23? (a) 0.08 (b) -5 (c) 13 (d) 6\/13 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2074 divide 2083388537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of 0*u**2 + 0 + 19*u + 1\/15*u**4 + 1\/25*u**5 - 4\/15*u**3. Factor l(r).\nAnswer: 4*r*(r - 1)*(r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3895?\nAnswer: 5, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29.2221 - -0.05.\nAnswer: 29.2721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 10, -i + 3*v = -4*i + 87. Suppose 16*u - 24*u = -i. Let l(w) = -w**3 + 5*w**2 - 2*w + 4. What is l(u)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33587 is divided by 3694.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 117 - 18. Let q = o + -59. Is q a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2657834232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312*g = -315*g - 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 4 + 1)*(2*j - 2*j + j + (-10 - 4 + 9)*(0 - j + 0)) in the form x*j + s and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - l**4 - 4*l**3 - 3*l**2 + l + 0*l**3 + 3*l**2 to the form b*l**2 + x + a*l + p*l**4 + z*l**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3593 is divided by 62.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2171 + -19. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1735 (b) -0.5 (c) 203\/4 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48434\/8052 - (15 - (-9)\/12*-12)?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-4) + 1\/12. Suppose 0 = -49*j + 39*j - 50. Sort q, -3, -1, j in descending order.\nAnswer: q, -1, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 659*m**3 - m**2 + 2*m. What is the hundreds digit of t(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67078960\/41 at least 1636072?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - (-2 - (2 + -7)))*(-17)\/(-17)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.7 + 1.68. Let w = 2294.6 + -2295. What is the nearest to y in 1, -1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 534?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + (0\/2 - 0). Suppose -h + y = -3*h. Let k = h + 4. Does 2 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 62826 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15652 - -6?\nAnswer: -15644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tnnlnnnnnnllnnxxtln. Give prob of picking 1 l and 1 t.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 5*n**2 - 3*n - 7. Suppose -2*m = -2*k - 4*m - 10, 0 = 3*k - 3*m + 9. Let d = -8 + k. Let w = d + 7. What is o(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0163 + -1.9837. What is the nearest to -2 in k, -0.4, -0.09?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*v + 1. Let t be 2 + v + (-3)\/3. Let a(j) = 9*j**2 + 1. Give a(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -361605 + -4?\nAnswer: -361612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n. Let y(x) be the second derivative of -279*x**3\/2 - 1150*x. Determine d(y(f)).\nAnswer: 1674*f","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Solve 423*c - 854*c - 4*z - 33 = -428*c, -42 = 6*z + 30 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5364.179 milligrams in nanograms?\nAnswer: 5364179000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g - 8. Let k be s(-11). Suppose k*t = 13*t - 4260. Suppose -29*a + 26*a + t = 0. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.63 - -200402863?\nAnswer: 200402854.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b. Let w be s(-1). Let c = -2 - -7. Suppose 0 = 5*q - u - 2*u - 15, -5*q = c*u + 25. Sort w, 3, q in decreasing order.\nAnswer: 3, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*h = -30. Find the third derivative of -4*r**2 + 0*r**2 + 2*r**h + 5*r**2 wrt r.\nAnswer: 240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 66694*i**3 + 59464?\nAnswer: 200082*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, s: 1, j: 3, q: 4, x: 2}. Give prob of sequence axsx.\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v**2 + 77371*v + 6*v**2 - 77371*v.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 13*a**3 + 12*a**2 - 3. Let k(r) = -11254867*r - 2 + 6*r**2 + 7*r**3 + 11254867*r. Give -7*k(q) + 4*n(q).\nAnswer: 3*q**3 + 6*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 69102413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-86928)\/25354)\/((2\/(-2))\/(-7))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k = -5*k - 28. Let b(v) be the second derivative of -v**5\/20 + 5*v**4\/12 - 2*v**3\/3 + 3*v**2\/2 + 3*v. What is the units digit of b(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**2 + 1134*b + 2276 = 0 for b.\nAnswer: -2, 569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -0.026846, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -101*-1.3194\nAnswer: 133.2594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13308113 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = o + 1725. What are the prime factors of o?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -z**5\/5 - 7*z**4\/12 + 5*z. Find the third derivative of j(u) wrt u.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1034 by 2.\nAnswer: -517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 4*s - 2*u, -83*u = -5*s - 86*u - 54 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, 0.938, -0.36?\nAnswer: 0.938","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus -1.39?\nAnswer: -4.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of q**6\/720 + 13*q**5\/120 - 11*q**4\/24 - 4*q**2. Let m(a) be the second derivative of p(a). Does 8 divide m(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 8:48 AM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 484764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 37074 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*b**2)*(-57*b**3 + 155*b**3 - 96*b**3 + (3 - b**2 - 3)*(1 - b - 1)).\nAnswer: 6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -407*j = 5833 - 24148 for j.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 4*q - 28053 = -5954. Does 7 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-2\/5))\/(g**(-7)*g))**44*((g**0\/g)\/g)**(-5\/2)*g*g**(-6\/11)*(((((g**(-4\/9)\/g)\/g)\/g)\/g)\/g*g)\/g assuming g is positive.\nAnswer: g**(143753\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**4 - 3*z**2 - 2*z**4 + z**2 + (-1 + 1 - 1)*(-22*z**4 - 2*z**4 + 0*z**4).\nAnswer: 23*z**4 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, j: 1, x: 3}. What is prob of sequence xfxf?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + y - 3 = -6*t, -12 = 5*t - 4*y. Sort -1, 5, -2, t in decreasing order.\nAnswer: 5, t, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 9\/17 (b) 1\/5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f - 1021 + 209. Suppose 3*x + 5*h = f, 7*x - 5*h = 6*x + 72. What is the remainder when 163 is divided by x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7 - -5)*15\/(-6). Suppose -n + 11 = -2*i, 0*i - 17 = l*i + n. Which is smaller: i or -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*m - f + 2, -4*m = 3*f - 8. Suppose 0 = -m*r - 4*l - 1480, 3*r + 4*l = -403 - 1827. Round r to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**4 + 3*y**4 - 4*y**4)*(-5*y + 0*y + 3*y) + (-4*y**2 + 4*y**4 + 4*y**2)*(-y - 3*y + 3*y).\nAnswer: -10*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2790276378 to the power of 1\/2, to the nearest integer?\nAnswer: 52823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82848?\nAnswer: 2, 3, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 316*y - 17. Calculate the remainder when a(1) is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 528263\/2 or 264133?\nAnswer: 528263\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 275060 or 825184\/3?\nAnswer: 275060","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 29*l**4\/4 - 7*l**2 - 13. What is the second derivative of m(o) wrt o?\nAnswer: 174*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddaadrqrarrrrd. What is prob of picking 1 r and 2 a?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 3*j**2 + 252*j - 783 = 0.\nAnswer: -87, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*l + 5. Suppose 4*m - 2*h = 16, 0 = l*m - m + h - 4. Suppose 6*j - m*j = 63. Solve q - 3*q - 6 = i, -q - j = -4*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 715 - 1521 + v + 777. Let l(i) be the second derivative of i**3\/6 - 5*i. Give z(l(q)).\nAnswer: q - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.264397km to centimeters.\nAnswer: 326439.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-3)*-17 - 350\/(-70). What is the closest to 0 in -2\/13, -5, -0.043, l?\nAnswer: -0.043","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in sixty-one thirds of a week?\nAnswer: 3416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 688032 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/6 - 22\/(-6). Let j(z) = z**2. Let r be j(y). Suppose -2*b + 48 = -l, -2*b = 4*l - r*l - 32. What is the remainder when b is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -0*o - 5*o + 24, 0 = 4*d + 5*o + 48. Let j = 30658\/11 + -2790. Calculate the common denominator of (-13)\/(((-16)\/(-4))\/d) and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 1003*w - 10784. Calculate v(9).\nAnswer: -1757","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - j**2 + 2*j + 2. Suppose 2*n = -f + 7*n + 5, 3*n - 13 = -f. Calculate the smallest common multiple of f and c(-3).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 38992, 77859, 116726, 155593, 194460, 233327?\n\"Answer: 38867*w + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**2\/8 - 25239*i - 1274014242 = 0 for i.\nAnswer: -100956","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-132)\/(-4290))\/((-4)\/10).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0, 195\/8, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1199183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5408 is divided by 146.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000225 to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 20 = o + 5*r, -5*r = -2*o + 26. Let g(i) = -i**3 - 2*i**2 - 10*i - 19. Give g(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 8.6. Let p = 0.1 - 0.1. What is the third biggest value in 1\/2, p, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 5*u**2 - 14*u + 18. Let w be f(-9). Let i = -274 + w. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = -3*z + 9*z. Suppose -4*j = -11*j + z. Calculate the smallest common multiple of j and 69.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 601 + -1153. Let v = -68 - k. Is 36 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 1 - 5)*(2 + 1 - 5) + 1 - 2 + 3)*(-20*w**2 - 24*w**2 + 58*w**2)*(1 + 1 - 1 + (-2 - 1 + 2)*(4 - 4 - 2) + 0 - 1 + 2).\nAnswer: 224*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 8*m + 4. Let t be j(-5). What is the greatest common divisor of t and 323?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*d**4 + 17*d**4 + 15*d**2 - 755*d**3 + 822*d**3 + d as h + f*d**4 + l*d + k*d**2 + u*d**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + -25 + -8 - (20 - -2) - 21?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z**3 + z**3 - 3*z**3.\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -965 divided by -49291.\nAnswer: 965\/49291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3*q - 14. Let a = -3 - q. What is the least common multiple of a and -10*5\/((-50)\/8)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*c + 1056 + 96. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 11:59 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -g**7\/84 + 7*g**6\/60 - 9*g**5\/20 + 5*g**4\/6 - 2*g**3\/3 + 5*g - 1. Factor f(n).\nAnswer: -n*(n - 2)**3*(n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40617951 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1799355, 1799389, 1799421, 1799451, 1799479, 1799505?\nAnswer: 1799529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2171*o. Let g(s) = s**2. Give t(g(b)).\nAnswer: -2171*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5391010?\nAnswer: 2, 5, 539101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1089 and 968?\nAnswer: 8712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 102, -3, 0, -1, 5, -41 in ascending order.\nAnswer: -41, -3, -1, 0, 5, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/((-15)\/2) - (-1484)\/2835. Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 70 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/3845 and 29\/1550.\nAnswer: 1191950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 + 68*z - 64.\nAnswer: -4*(z - 16)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b + 310 = 12*b. Let n = 259 + b. What is the remainder when n is divided by 54?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*l - 69*l = -812. Let x = l + 409. Solve -3*g - 2*b = x*b, b - 8 = g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10263 + 10268. What is the nearest to 3 in -25, 6\/11, 0, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + f + 3487 = 0, 4*f - 3497 = -2*n - n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - o**2 - 1)*((-1 - 2*o + 1)*(o + o - 3*o) + 6*o**2 - o**2 + 0*o**2)*(6*o - 7 + 7).\nAnswer: -42*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3175805, 3175793, 3175765, 3175715, 3175637?\nAnswer: 3175525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1155 and -0.05.\nAnswer: -0.005775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.54027 millennia to years.\nAnswer: 48540.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*k + 575 - 566 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -83, 0, 0.5, -0.08, 7\/25 in decreasing order.\nAnswer: 0.5, 7\/25, 0, -0.08, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 756241.9ml to litres.\nAnswer: 756.2419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -4\/7, 0.04, -3\/2, 0, -341, 114?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of 5*i**3\/6 - 5*i**2\/2 + 13*i. Let a(k) = -k**2. Give j(a(h)).\nAnswer: -5*h**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 7*r + 41 = -2*r + 9*d, 4*d - 20 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-19)\/(-133) - (-83375)\/161. Calculate the greatest common factor of w and 238.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-12*20\/3960*3\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9301.4544 hours in weeks?\nAnswer: 55.3658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5 + 0.53. Let i = -0.07 - n. Let l = -0.7 - -4.7. Which is the third smallest value? (a) l (b) i (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5278183 or 5278184?\nAnswer: 5278183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 410*w**3 + 848*w**3 - 2*w**2 - 8*w + 16*w + 9*w - 361*w**3 to o*w**2 + c + x*w**3 + q*w and give x.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23564675 - -23565831.00493. Let i = a - 1156. Round i to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 90 - 88. Suppose -2*l = -3*l. Let g = l - -1. Solve k*o + g = -5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 0.8 (c) 20 (d) -10 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17709833?\nAnswer: 1447, 12239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 1 + ((11 - 2) + -2 - (-26 - 60)).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -1 + 7 + -2550 + 2580.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 0.044, 14, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3941.9 - 3943. Let z = -18 + 13. What is the biggest value in z, -0.4, -2\/17, w?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t**2 + 78*t**3 - 6*t + 6*t - 580*t**3 + 3*t in the form u + k*t + b*t**2 + y*t**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/2)\/d*d)**(-1\/14)\/(d\/d**(3\/7)*d**0)*(d**(1\/3))**(2\/5)*(d\/(d*d**0))\/(d*d**(2\/3)) assuming d is positive.\nAnswer: d**(-869\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 61357 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218 = 9*v + 92. Calculate the greatest common factor of v and 504.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 92 + -88. Suppose 4*r + 73 = 3*d, -j*r - 96 = -4*d - 0*r. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7 minus 439231139641.1?\nAnswer: -439231139642.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2 + 3*b. Let h(x) = -4*x**2 - 7*x. Let p(s) = -7*a(s) - 3*h(s). Let m(q) = -4*q**2. Give m(p(j)).\nAnswer: -16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 11:26 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 314 and 202576001.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2 + 1 - 7*m + 6. Let y(o) = 20*o - 26. Let f(l) = 11*i(l) + 4*y(l). Calculate f(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -141\/2530 and 91\/6072.\nAnswer: 30360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of b**5\/15 - 2*b**3\/9 + b\/3 + 27. Suppose n(a) = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q - 16 = c + 5*q, -3*c - 4*q - 4 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x**2 - x + 2. Calculate i(2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 8:03 PM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-5)*z)\/z)\/z)\/(z**(1\/11)*z)*(((z*z**(6\/11)\/z)\/z*z)\/z)\/z**5 assuming z is positive.\nAnswer: z**(-138\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -1108020.\nAnswer: 11\/1108020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -26823 not equal to -26823?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 14 = y. Solve 0 = 4*b - y*b - 5*r + 2, -3 = -3*b - 2*r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 730994870?\nAnswer: 2, 5, 2423, 30169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z + 37. Let u(g) = -5*g - 35. Let s(t) = -4*q(t) - 5*u(t). Suppose 19 = -42*i + 61*i. Let l(v) = 1. What is i*s(b) - 27*l(b)?\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 3*d - 316, 0 = -j + 3*d - 61 + 228. Calculate the remainder when j is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 - -0.7. Let y = -0.542 + 0.042. What is the third smallest value in y, 0.3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from yyyyyyyyyyvyyyyyyvy?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 61 + -93. Let k = 31 + s. What is the smallest value in -3\/5, k, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 870 and 8178.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6))**10*x\/x**6*x**(-2\/35) assuming x is positive.\nAnswer: x**(-2277\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 24*g - 48. Let x be h(2). Solve x = -5*n - 5 - 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) - (sqrt(130) - (sqrt(130) - sqrt(130)*4 - sqrt(130)))*1)\/(sqrt(250)*2).\nAnswer: -2*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 589131622 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 0*l - 3. Let z(q) = 54*q**2 - 1. Is z(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-28)*-2*80\/20\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -1. What are the prime factors of 1\/(s\/(-6))*-65?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 5*c - 3*c - 9 + 0*c. Calculate h(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v + 468 + 218 = 0. Let a = -16 + 23. What is the highest common divisor of a and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -1. Let h = 0.7 - 0.7. Which is greater: n or h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3094 and 91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/40 + (-78)\/10 - ((-10332)\/(-441) - 31)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 6*f - 2. Let i = 8 - 13. Let n be k(i). Suppose -2*p + 3*l + 16 + 2 = 0, 0 = p - l - 7. Solve -s - p = 0, n*s = 3*d + 7 - 19 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -4*z - 20 - 8, -5*n - 5 = -3*z. Let u be (-3)\/6*(16*2)\/n. Let x(s) = s**3 - 4*s**2 - 4*s + 1. Give x(u).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1025 and 19065?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33152 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -6189499 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/35473 and 8\/1007.\nAnswer: 1880069","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 121?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 5 + -87 + 86 + -37 + -1 + 2?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*w + 52*w - 55*w in the form q + m*w and give m.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 - 35315050*i + 62357637825125.\nAnswer: 5*(i - 3531505)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 519*q + 385*q - 460*q to r + h*q and give h.\nAnswer: 444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 646*x - 1316. Determine b(2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.210328g in nanograms?\nAnswer: 5210328000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0016992262 to five decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*p**3 + 290842715 - 290842715.\nAnswer: -9*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1053049895 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 3:23 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4851*h + 207451. Determine n(-43).\nAnswer: -1142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 9*x**2 - x - 36. What is the lowest common multiple of 110 and l(8)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1802\/9 + -200. Let k be 20\/(-90)*2\/(-4). Sort 0.4, f, 5, k.\nAnswer: k, f, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 15*k**2 - 2*k + 21. Calculate i(15).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/270 and -181\/10962690.\nAnswer: 98664210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1602.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3903058*a**4 - a**2 - 531347624?\nAnswer: 15612232*a**3 - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 775427.8um?\nAnswer: 0.7754278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*x**3 + 1 - 53*x**2 + 222*x**2 + 6*x**3 in the form z*x + r*x**3 + s + a*x**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 11012 divided by 11012\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 515.15 to the nearest 10.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 321398 + -4?\nAnswer: 321394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -425.4418 take away 2?\nAnswer: -427.4418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1706 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (412\/12)\/((-182)\/(-84)) + 6\/39. Is t >= -1\/183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 19, -2, -1313\/3, 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -80 divided by 2\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, h: 4}. Give prob of sequence cchc.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 238580 divided by 22\nAnswer: 119290\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 2. What is the least common multiple of (5\/(-1))\/((-104)\/208) and v - (-4 + (-2 - -1))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z - 75*z + 74*z = -689 for z.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*u**5 + 18034*u**4 + 53746*u**3 + 54154*u**2 + 18646*u + 316 = 0. What is u?\nAnswer: -158, -1, -1\/56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 5*m**2 + 8*m - 3. Let l be b(3). Let j(u) = 2 - 5 + 23*u - 5*u. What is the tens digit of j(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 + -20. Suppose -v + 5*v = c. Find the common denominator of 59\/3 and (1022\/4)\/7 - v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -807 + 888. Calculate the smallest common multiple of 21 and t.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101063 a multiple of 257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -776 - -774. What is the fourth smallest value in 0.04, 2\/19, b, 0?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -308472634*n**2 - 44653626*n?\nAnswer: -616945268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*n = 13*n + 9163. Is n a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2618756058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 312279, 624556, 936833, 1249110, 1561387, 1873664?\n\"Answer: 312277*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 8:21 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 times -1657?\nAnswer: -19884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.14 + -0.2. Let o = j - -0.16. What is the closest to -0.1 in 2, o, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/5)\/(168\/80). Let m = 20976.4 - 20977. Is m bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 53737170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 1 + (3 - -1). Let n be ((-4)\/b)\/(6\/(-9)). Let z(v) = 4 + 0*v + n*v + v - v. Determine z(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1152 - 1152.000425. What is o rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4\/2 + 73269*z**3 - 3955554*z**2 + 71194140*z - 427147344.\nAnswer: -(z - 146484)*(z - 18)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 166416 - 10?\nAnswer: 166406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -65.53 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffvviiifipfifiiff. Give prob of sequence vif.\nAnswer: 49\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24538?\nAnswer: 2, 12269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*((i\/i**(3\/10)*i)\/i)\/i*i*i)\/i**(-7))\/(i**(6\/7)\/i)**(-24) assuming i is positive.\nAnswer: i**(439\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 107578 and 2086.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-18))\/((-1)\/(-21)). Suppose 7 = -3*r + 22. Find the second derivative of i*n - 10*n + 5*n - 3*n**r wrt n.\nAnswer: -60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 5\/23, 60.3, 0.5 in ascending order.\nAnswer: 5\/23, 2\/9, 0.5, 60.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 117117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4759.863 centuries in millennia?\nAnswer: 475.9863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -17*i + 7 + 3*i + 3*i - 23*i. Let x(b) = b**2 + 9*b + 12. Let s be x(-6). Is d(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2348213 and 105.\nAnswer: 35223195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 11:21 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-69 - (-79 + -20)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 9*h**2 + 2*h - 5. Let s be y(9). Suppose -85 = -9*u - s. Let x(b) = -b**3 + 8*b**2 + 2*b - 10. Let m be x(u). Solve a = m*a + 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2305437?\nAnswer: 3, 768479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16335308 - 10390308. What is b rounded to the nearest 100000?\nAnswer: 5900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*j - 8 - 224 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 52440 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2009 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + -12 - -20) + -7 + 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of a**4\/24 + 11*a**3\/6 - 5*a**2. Let f be l(-6). Suppose 1 + f = v. Solve 3*g + v = -9 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6 - -9 - -506 - -5. Suppose -3*b + 2*o = -a, 0 = b + 3*o + o - 148. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-18\/13)*r**(-4\/5) assuming r is positive.\nAnswer: r**(-142\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**3 - 3*d**2 + 2*d + 4. Suppose 15 = -9*t - 3. Let z be a(t). Find the second derivative of 6 + z + 8*o**2 - 10 + 20*o wrt o.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q + 19*q + 34 = 0. Calculate the remainder when 133 is divided by q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -10*d**2 + 0 - 9*d + 3 + 2 + 2*d**3 - d**3. Let k be g(9). Let c = 1411\/9 + k. Sort 0.4, -4, c in descending order.\nAnswer: 0.4, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1809177, -3618354, -5427531, -7236708, -9045885, -10855062?\n\"Answer: -1809177*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 0.09 (c) -9\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*f - 141 = 387. What is the second biggest value in f, 191, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**5 + f - f - 7*f**5 - 7*f**5 + 0*f**5 + f**5 + 3*f**5 - 3*f**5 + (0*f**3 + 0*f**3 - f**4)*(-5*f + 4*f + 0*f) - 2*f + 2*f + f**5.\nAnswer: -9*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/54 and 133\/144.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1178*h**4 - 1179*h**4 - 5*h**2 + 2*h**2 + (-h**3 - 4*h**2 + 4*h**2)*(4*h - 7*h - 5*h) to the form o*h**3 + t*h**2 + i*h**4 + n*h + g and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 196 - 189. Solve 4*h - g = q, 0 = 3*h + 5*q - 4 - 7 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -c**9\/1008 + c**8\/560 + c**7\/280 - c**6\/120 + c**3\/2 - 4*c. Let f(h) be the second derivative of n(h). Factor f(y).\nAnswer: -3*y**2*(y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 + 1)*(-3 + 2*o + 3 - o + 0*o - o + (-3 + 2 - 1)*(3 - 3 - 2*o) + (0*o + o + 2*o)*(-3 - 1 + 3)) as j + q*o and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 5. Let m be c(0). Suppose -m*d - 1 = -16. Let j be (d\/(-7) + 1)\/(-2). Sort j, 2, 0 in descending order.\nAnswer: 2, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 1001*c + 920. Calculate d(-1).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 2a?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 3*m + 6. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 107595 divided by -135\nAnswer: -797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185*f**3 + 89*f**3 + 45599986*f**2 - 45599986*f**2 + 237*f**3.\nAnswer: 511*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -12 - (2 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -118 at most as big as -120976\/1015?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 4*q**3\/15 + 196*q**2\/5 + 1504*q\/5 - 1819. Determine i, given that y(i) = 0.\nAnswer: -94, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 73*k + 5. Let x be z(4). Let i be 4\/15*x\/18 - 4. Which is the fourth biggest value? (a) 8 (b) -2\/3 (c) -0.4 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -47, -113, -207, -329, -479?\nAnswer: -657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17367 - -27349. What is the hundreds digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5117614 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 plus 40112252984?\nAnswer: 40112252958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3 + -6*((-2 + sqrt(720))*-4 - sqrt(720))**2).\nAnswer: -325143 + 17280*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of b**4\/12 - 15*b**2. Let z(r) be the third derivative of 1\/3*r**4 + 0 + 0*r + 0*r**3 - 6*r**2. Calculate z(p(j)).\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/9 - 36048316*c\/9 + 162435135804482\/9.\nAnswer: 2*(c - 9012079)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 429.6602 millilitres to litres.\nAnswer: 0.4296602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -141 greater than or equal to -139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 + 28*n - 13. Let l be i(-19). Suppose l*f - 181*f = -1548. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 6:56 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 22*y - 84. Let n be o(-15). Find the second derivative of -n - 18 + 3*c + 186*c**2 + 10*c**2 + 0*c - c wrt c.\nAnswer: 392","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -33*y**3 - 5*y**2. Let p be x(-5). What is p rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of d**4\/6 - 5*d**3\/6 - 5*d**2\/2 - d. Let n(y) = -y + 9. Let l be n(4). Let g be a(l). Solve c - g = 5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37773844 is divided by 1562.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 953087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 5 - (0 - 0 - 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 + 320 = 68*p - 31 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 5, -5, -21256.\nAnswer: -21256, -5, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.96499 nanograms in grams?\nAnswer: 0.00000000996499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1267*t + 419 = m + 1271*t, 4*t = 2*m - 886. What is the least common multiple of 351 and m?\nAnswer: 50895","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 731 and 5384417?\nAnswer: 91535089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 10 = -2. Let n(k) = -5*k**2 - 14*k - 7. Let b(c) = 4*c**2 + 13*c + 6. Let m(z) = 6*b(z) + 5*n(z). Is m(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30*22\/264*12\/(-55).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -13*l**3 + 1. Calculate v(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1108*c - 840*c**3 - 2831*c**2 + 1106*c - 14706*c**3 wrt c?\nAnswer: -93276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -756 or -727501\/962?\nAnswer: -727501\/962","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -699, -935, -1167, -1389, -1595, -1779, -1935?\nAnswer: -2057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 + -27. Let t(z) = -z - 1. Let v(a) = -4 - 3*a - 2*a - 3 + 2*a. Determine x*t(k) - v(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, -5, -102, -301, -632?\nAnswer: -1125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7560, 15129, 22680, 30207, 37704, 45165?\nAnswer: 52584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-310)\/53692*4\/(-95). Does 1 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 5*z + 30, -13 = -2*d - 0*d + 3*z for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - 2.1. Let u = i + 1.9. Let d = 8.42 + -21.42. Which is greater: d or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 3*x + 8 = 0, 0 = -2*t + 3*x - 4*x + 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 354*x**2 - 1690*x**2 + 335*x**2 + 333*x**2 + 331*x**2 + 339*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x + 2*x - 3*x)*(0*x**2 - 9*x**2 - x**2) + 4*x**3 - 2*x + 2*x as k*x + m + n*x**3 + p*x**2 and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2225530, -2225545, -2225568, -2225599, -2225638, -2225685, -2225740?\nAnswer: -2225803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 122534507 to the power of 1\/3, to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 5*i - 19, 5*i - 6 - 9 = 0. Suppose 2*y - 3 = -3*s, 4*s - w = 4*y - 10. Let o = -4 - -6. Which is the nearest to 1? (a) 4 (b) y (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -5*l**2 + 2*l + 16. Calculate x(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (1 + 6) - -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 8*r**2 + 68*r - 122. What is p(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -16, -2\/3, 1\/9, 49, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 861, 750, 559, 282, -87, -554?\n\"Answer: -c**3 - 34*c**2 - 2*c + 898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4*g + 5. Is s(4) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 28 = -i. Suppose 3*n + 3*y - 24 = 0, 2*n - i*y + 4 = -y. Solve 4 = n*s + v, 3*s + 5*v - 20 = 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/9? (a) 1 (b) -7 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-70)*(1425\/(-190))\/((-3)\/12)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -110, -340, -786, -1520?\nAnswer: -2614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 4*t**2 - 3*t - 6. Calculate the lowest common multiple of p(-4) and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 604*p + 56283. Give u(-93).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -51?\nAnswer: -25.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 10*d + 1. Let h be g(2). Suppose 5*v - 34 - h = 0. What is the second derivative of z**3 - v*z + 0*z**3 + 10*z wrt z?\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 10*v**2 + 15*v - 8. Let h be x(-8). Suppose h*k + 28 = 3*k - 4*j, -2*k + 47 = 3*j. What is the remainder when 45 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3*((0 + sqrt(1377))**2*-6 + 2*sqrt(68) + sqrt(68) + -2)*-3.\nAnswer: -54*sqrt(17) + 74381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2063 = -2435*n - 41767 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3*h**3)*(h + 5*h - 4*h - h + h - 2*h - h + 3*h - 4*h + (-5 + 2 + 1)*(0*h + h - 3*h) - 4*h + 2*h + h).\nAnswer: -3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 - 4*d.\nAnswer: -4*d*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 2 + (-18 - (10 + -4 - 55))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**3*r**2 + 1425749*j**3*r + 2*j*r**2 - 6866*r**2 wrt r?\nAnswer: 4*j**3 + 4*j - 13732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (17027\/(-8))\/((-15)\/(-12)). Let z = -1701 - i. Let x = -1118101\/98296 + -2\/12287. What is the common denominator of z and x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t + 1. Let c be 5 - (2 - 3\/3). Suppose 2 = 4*g - 2*w, -1 + 18 = -g + c*w. Suppose -3*x - j = 2*j + 15, -g*j - 5 = -2*x. Determine q(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 7*n**2 - 7*n - 3. What is l(6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*t = -63. Suppose -8*u = -j - t*u - 1, -4*j = -u - 21. Solve -4*f = j*l + 20, 3*l - 7 = f - 2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llicnilnilniilnln. Give prob of picking 2 l.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, a: 3, x: 4}. Give prob of picking 1 k and 1 a.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106\/10 + (-16)\/(-40).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17230193?\nAnswer: 751, 22943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - -3)\/(3 + (-11)\/4). Let x be ((-18)\/q)\/(9\/(-6)). What are the prime factors of (0 - -12)*2\/x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*d = -3*d + 60, -l - 4*d + 85 = 0. Suppose -11*y - 2*y = -l. Sort -3, y, -5 in decreasing order.\nAnswer: y, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/3*2964\/152 + (2 - 3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 1\/398, -0.2, -37, 0.5?\nAnswer: 1\/398","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -6, -2\/17, -0.05, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2 = 2*x, 4*x - 11 = 2*i + 3. Let l be 1\/41*i\/(-33). Let h = 911\/4059 - l. Which is bigger: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o - 2. Let p = 22 + -10. Let b be (-606)\/(-24) + 9\/p. Suppose -25*d + 2 = -b*d. What is t(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2905 - -2911 - (8 - (-2 - -1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a**2 + a + 1. Let r be j(-1). Let y be 3*((-8)\/r - 2). What is the derivative of -6 - 4*p**2 + 7 + 0 + y wrt p?\nAnswer: -8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11)\/((-77)\/42) - -20. Let j = -32 + q. Let y(c) = -5*c + 3. Let f(g) = -4*g + 3. Give j*y(d) + 7*f(d).\nAnswer: 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 1 - 1)*((-d**2 - 5*d**2 + 5*d**2)*(-24*d**2 + 100*d**2 - 30*d**2) - 2*d + 2*d + 3*d**4 + (-d + 2*d + 0*d)*(d**3 + 2*d**3 - 2*d**3)).\nAnswer: -84*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 260 + 54?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 293, 291, 289, 287, 285, 283?\nAnswer: 281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -177 + 607. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -13*r**2 - 4*r - 2. Let l(n) = -17 - 18 - 16 + 2*n + 52 + 6*n**2. Determine -9*l(d) - 4*u(d).\nAnswer: -2*d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2078.77130008 + -2077.7713. Let l = w - 1. What is l rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 116\/12 - (-3)\/9. What is the highest common divisor of 40 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -22, -2, 14, 56 in increasing order.\nAnswer: -22, -4, -2, 2, 14, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 2286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*((-20)\/15)\/4. Suppose 0 = -c + 3*u + 12, -c + 3*u - 18 = -5*c. Let q be c\/(-12)*4\/26. Is g smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -750 by 2.\nAnswer: -375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (136*y**3 + 72*y**2 - 75*y**2 - 32*y**3)*(-y - 1 + 1).\nAnswer: -104*y**4 + 3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(140\/195) - -5. Which is smaller: 5\/3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/25)\/((-36)\/120). What is the nearest to -0.1 in -3\/5, t, -2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {s: 1, f: 7, o: 1}?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 3*x**2 + 3*x + 2. Let f be d(-2). Let o = 2.97 - 3. Let p = 0.13 + o. Is f greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 0*g**6 + 0*g**4 + 0*g**2 + 10\/3*g**3 - 27 + 0*g + 0*g**5 + 22\/7*g**7. Find the third derivative of o(r) wrt r.\nAnswer: 2640*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -4*u**2. Let w(p) be the third derivative of -77*p**4\/2 - 9*p**3\/2 + 95*p**2. Let a(y) = 71*y + 2. Let o(l) = -27*a(l) - 2*w(l). Give k(o(m)).\nAnswer: -19044*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9715325 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2. Let m(c) be the first derivative of 5\/3*c**3 + 0*c**2 + 5 + 0*c. Calculate -3*m(i) + 8*r(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from szzltzszl. Give prob of picking 1 t, 2 l, and 1 s.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-207)\/(-6) - -3 - 3 and (-1)\/16*(0 + -66).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 100 + -98. Suppose 1 = 2*r + o*t - 3, 2*r - 4*t - 22 = 0. Suppose 0*a = 4*v - r*a - 136, 5*v = -3*a + 207. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2773, -2527, -2281, -2035, -1789, -1543?\n\"Answer: 246*n - 3019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/5 - 3005932*n + 11294533985780.\nAnswer: (n - 7514830)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 260569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h**(-2)\/h)*h)\/(h*h**(-28)*h))**5)**43 assuming h is positive.\nAnswer: h**6665","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 80\/249 + 1\/83. Factor 0 + 0*p + 1\/3*p**3 - a*p**2.\nAnswer: p**2*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(-15) - 29\/(-3). What is the highest common factor of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**5\/5 + 144*q**4\/5 - 774*q**3\/5 - 1216*q**2\/5 + 1848*q\/5 = 0. Calculate q.\nAnswer: -2, 0, 1, 7, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 71663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10121000012102 (base 3) to base 12\nAnswer: -780b85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 4 = -2*h, 3401*h - 3392*h - 13 = -4*z for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 11:47 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 8070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -2*u**2 + 1\/3*u**3 + 10 + 2*u. Does 9 divide p(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n. Let u(x) = -10*x**2 + 60*x. Suppose -2*q = 175 - 169, -5*q - 11 = 4*i. Calculate i*u(m) - 60*r(m).\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 981\nAnswer: -392.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(1700))*-4 + 0)*1)**2.\nAnswer: 320*sqrt(17) + 27216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -279 divided by 9.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 224 + -168 - (10 + -2)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.976069m in nanometers?\nAnswer: 976069000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*c - 31*c + 28 = 0. Let o(h) = h**2 - 12*h - 14. List the prime factors of o(c).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 73 = -4*h + 75, -5*m - 166 = -4*h. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + -11. Let d be (-1)\/2 - ((-69)\/(-2) - -6). Let v = o - d. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -936.97\nAnswer: -374.788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -25*z**4 + 15*z**3 + 14*z**2 - 6*z - 2. Let r(i) = 127*i**4 - 76*i**3 - 71*i**2 + 31*i + 11. Let d(t) = 11*b(t) + 2*r(t). Solve d(a) = 0.\nAnswer: -2\/3, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 8*i + 123. What is the remainder when m(-8) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*j**2 + 22*j**2 + 11*j**2 + 10*j**2 - 36*j**2.\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14555 (base 11) to base 6.\nAnswer: 235302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from {s: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyk when three letters picked without replacement from wkxkkgewwyykeey?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1329*t - 4620 = -1206*t + 2395*t for t.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-20)*(-20)\/(-8)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58371507.\nAnswer: 3, 523, 12401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-6) - 77\/(-3). Suppose 146 - x = -4*s. What are the prime factors of 4\/s*3*-15?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**5 + 19*w**4 + 18*w**3 = 0. What is w?\nAnswer: -18, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -8*q + 7*q. Let y = -67 - -102. Calculate the highest common factor of q and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.99 - 0.21. Let v = -23.8 + p. Let k = 34 + v. Which is the nearest to 3\/4? (a) -2 (b) 2\/7 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573))**2 + -1 + (sqrt(130)*-3 - sqrt(130))\/sqrt(10) - (-1*(-1 + sqrt(832)) + (sqrt(832)*2*-2)**2))*-1.\nAnswer: -4*sqrt(13) + 11741","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54394632 to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7812 + 8229 = o. List the prime factors of o.\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 937.2456ml?\nAnswer: 0.9372456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3600)*1)\/(sqrt(96)\/sqrt(200)).\nAnswer: 50*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -m**6\/120 - m**5\/4 - 5*m**4\/8 - 3*m**3\/2 + m**2. Let y be k(-14). List the prime factors of 1032\/20 + 2\/y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1759*n + 3487*n + n**3 - 1728*n.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s + 22. Let w be m(14). Let j(t) = -9*t - 42. Let u be j(-5). Suppose -w*p + i = -u*p - 5, -3*i + 1 = p. Is p at least as big as -1.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 473 - 271. Suppose 27*x + 489 = 1515. Suppose -x = 4*h - z. What are the prime factors of h?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gu when two letters picked without replacement from egxuw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5*y + 2. Let d be (3\/2 - (-24)\/16) + -3. Let l be n(d). Factor 1\/2*w**3 + 0 + 0*w**l - 1\/2*w.\nAnswer: w*(w - 1)*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27294, -54112, -80926, -107736, -134542?\nAnswer: -161344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 13*o**2 - 7*o - 3. Let r(g) = -g + 1. Let m(x) = p(x) - 6*r(x). Suppose -26*v - 582 = -218. Is m(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -0.5, -2\/11, 0.6023 in decreasing order.\nAnswer: 0.6023, -2\/11, -0.5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -427, -429, -433, -439, -447?\nAnswer: -457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 232441 by 21131.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 at most -574326\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 31243 = 31248?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -119 + 5852500?\nAnswer: 5852381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 604\/755*6\/48\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 344.\nAnswer: 3\/172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46 - 16 - 2*i**3 + 11*i**2 - 8 + 47*i**2 - 57*i**2 + 6*i**4 to r*i + n + b*i**2 + t*i**4 + h*i**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*x + x - 88. Let k(v) = v**2 + 9*v + 5. Let i be k(x). Which is smaller: i or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 716 = 639. Suppose w = 3*q + 166, 0 = w + 5*q + 41 - 191. Suppose 5*a = w + 5. Calculate the highest common factor of v and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4080*g**4 + 352*g - 189 - g**3 - 678 - 4082*g**4 wrt g?\nAnswer: -8*g**3 - 3*g**2 + 352","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 315 and 441.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n - 16*n - 3 = 0. Factor -6*i - n*i**2 - 6*i + i**2 - 12 - i**2.\nAnswer: -3*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35014 and 410?\nAnswer: 175070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 582, 573, 564?\n\"Answer: -9*c + 591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 174806557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 93872926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h = -6*h + 21. Let l be h\/28 - 391\/4. Is (-5)\/2*(l - -16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15.8 + -16. Let h = -197 - -192. What is the closest to -1 in t, 1\/7, h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8.883 and -0.14072.\nAnswer: -1.25001576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*a + 40. Calculate the remainder when 33 is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 4.94.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2*x = 5*x - 189, 0 = -g - x + 37. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10946.425*0.04.\nAnswer: -437.857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 3.673, 1, 4, 0.3 in descending order.\nAnswer: 5, 4, 3.673, 3, 1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 2 l, and 1 y when four letters picked without replacement from ltylykykykylyy.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-582.\nAnswer: -2328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -f**5\/20 - f**4\/3 + f**3\/3 + f**2 + 6*f. What is the tens digit of n(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, q: 1, t: 5, z: 1, x: 1}. Give prob of picking 1 z and 1 x.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 4*i + 5, 10 = 5*c - 0*i + 5*i. Is (68\/8)\/(c\/2) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 6) to base 12\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, 0, -1.8 in decreasing order.\nAnswer: 4\/9, 0, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -0.98, -85\/6, 1\/5, -2\/15 in increasing order.\nAnswer: -85\/6, -0.98, -2\/15, 1\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 2:20 AM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10121734 (base 9) to base 8\nAnswer: -22415223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -j**9\/168 - j**5\/30 - j**2 - 3. Let v(r) be the second derivative of b(r). What is the third derivative of v(o) wrt o?\nAnswer: -360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/15, -112, 2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**4\/5 - 147*w**3 - 12519*w**2\/5 - 59577*w\/5 - 14982 = 0.\nAnswer: -227, -11, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -1376174?\nAnswer: 1376174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 99602*i + 1882. Let z be b(-41). Round z to the nearest one hundred thousand.\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + 3. Let u = -20 - -52. Suppose -u = -k + 5*b - 9, 0 = 4*k - 2*b - 20. Solve 0 = -3*m - 3*v - 18, 2*m - m + k*v + d = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(7\/9)\/r)\/r*r*r)\/(r**(3\/25)*r)*(r**(1\/16)*r)**(-46))**8 assuming r is positive.\nAnswer: r**(-88591\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.16, -0.1, -65, 4, -0.3 in increasing order.\nAnswer: -65, -0.3, -0.1, 4, 5.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 7*r = -316. Let c = -41 - r. Suppose 3*d - c = -4*s, -2*d + 4*s = -d + 14. Calculate the greatest common divisor of 12 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 179, 180, 181, 182, 183?\n\"Answer: y + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 + -0.4999994. Round f to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((0 + sqrt(448))**2 - (sqrt(448) + (1*sqrt(448))**2)) + ((sqrt(77) + 2*(sqrt(77) - (sqrt(77) - -2*sqrt(77))) + sqrt(77))\/(sqrt(33)\/sqrt(3)*4))**2.\nAnswer: 7\/4 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -2. Let h = c - -2. Let x = 493\/5 - 99. Is x <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -338 (b) -2.4 (c) 1645\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 407.\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24330416 (base 7) to base 15.\nAnswer: -2ce8e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/3, 1, 1\/4, -1\/30, -20190, 0.1?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 2. Suppose 4*q + 69 = p, 5*q + n*p + 39 + 31 = 0. Let h = q + 21. Solve -3*s = h*k - 5, 3 + 3 = 2*s + 2*k for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/665 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -825470793, -825470796, -825470799, -825470802, -825470805, -825470808?\n\"Answer: -3*u - 825470790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -21*t**3 - t**2 + t. Determine o(1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8) + sqrt(128) + sqrt(8) + sqrt(8)\/((sqrt(4) - sqrt(4)*-1) + sqrt(4) + sqrt(4)) + sqrt(198)\/sqrt(11) + 2*(sqrt(2) + sqrt(6)\/sqrt(3))**2 + 0.\nAnswer: 16 + 61*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2c3 - -3?\nAnswer: 2c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7484, -7318, -7200, -7154, -7204, -7374, -7688?\nAnswer: -8170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2611, 5219, 7839, 10477, 13139, 15831?\nAnswer: 18559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0697? (a) 3 (b) -0.05 (c) 0 (d) -22\/7 (e) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 3*b**2 - 4*b. Let s be (12\/(-15))\/((-2)\/(-10)). Let l be m(s). Suppose 5*r + l*r = 50. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + -1. Let t = x + 22. Let n = t - 9. Is 1\/2 != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 846\/2961*(-28)\/(-48)*8\/84.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 480664595.7\nAnswer: -480664594.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -4*o + s + 9, -5*o - 2*s + 15 = 0. Let y(j) be the second derivative of 0 - 2*j + 1\/12*j**4 - 1\/12*j**o + 0*j**2. Let y(i) = 0. What is i?\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1391, 6745, 15673, 28181, 44275, 63961?\n\"Answer: x**3 + 1781*x**2 + 4*x - 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 36 = -210. Let c = o - -37. Calculate the remainder when 0 - (1 - 15) - -1 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 3. Let v = 6.2 + -6.3. Which is the second smallest value? (a) v (b) o (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - o**2 - 5*o - 71. Give z(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/10 + 5 + 48\/(-40). Suppose 18 = -p + b*p. What is the third derivative of -43*x**2 - 4*x**5 - 72*x**p + 56*x**6 + 4*x**5 wrt x?\nAnswer: -1920*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/((sqrt(168)\/sqrt(3))\/sqrt(7)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -1, 1, -235.\nAnswer: -235, -5, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 9:12 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 43 = -k, -78 = 4*k - l - 244. Suppose 7*n = 43 + k. What is the smallest common multiple of n\/114 + -101*12\/(-38) and 8?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2704 - -19389. What are the prime factors of g?\nAnswer: 5, 47, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**3 + 6*c**3 - 4*c**3)*(4 - 21 + 3 + (-1 - 2 + 4)*(4 - 1 - 4)).\nAnswer: -15*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -262 - 416 = -226*r. Sort r, -7, -415, 1.\nAnswer: -415, -7, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 15\/4 of a century?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -21409, -21956, -22503?\n\"Answer: -547*s - 20862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k + 9. Let s be d(-4). Solve 4*j + 15 = -5, s*z + 4*j = -10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - 84\/30)\/((-3)\/(-10)). Let r = -22 + b. Which is greater: r or -19?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15808 and 608.\nAnswer: 15808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/100 and 7\/300?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/8 (b) 11 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -3*j - 23. Suppose 4*m + j - 3 = 0, -10 = -2*o - 2*m. Let w be ((-4)\/(-3))\/(o\/15). Calculate the greatest common factor of w and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a factor of 47918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 2*u**2 + 0*u)*(-2 + 0 + 4) + 4*u**2 + u**2 - 3*u**2 + 2*u**2 + u**2 - 2*u**2 + 0 - u**2 + 0 + (-5 + 3 + 0)*(0*u**2 - 3*u**2 + u**2).\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2*358\/(-8) - 2\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -371.9 * 1483.4.\nAnswer: -551676.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from lilgjligccclcxi?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**2\/3 - 539*f - 3230\/3 = 0. What is f?\nAnswer: -1615, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q + 471. Is o(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14573 (base 9) in base 13?\nAnswer: 46b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (-43 + 41 - (-3 + (-2 - -7)))) + -2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/121 and -25\/260073?\nAnswer: 2860803","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3806300 rounded to the nearest ten thousand?\nAnswer: 3810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 278 - 1943\/7. Which is the third biggest value? (a) p (b) -0.5 (c) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 75 + 2*i**2 - 48 + 100 - 4. Let k(l) = 13*l. Give f(k(w)).\nAnswer: 52*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t - 17. Let a be u(8). What is the greatest common divisor of 1 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -k + 2*x + 121, -x + 5 = 0. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) -4 (c) -17 (d) -10\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-4*(-4*sqrt(88))\/((sqrt(88)*-3)\/sqrt(8) - sqrt(11)).\nAnswer: 32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from pppj.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 1258931*a - 2. Let h be k(-2). Let x = h + 7487864. What is x rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6128 - 1831. Is 5 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**3 - 2*v**3 + 0*v**3)*(4*v - 3*v + 0*v) + (1644 + 1692 - 3597)*(8*v**4 - 2*v**4 - v**4).\nAnswer: -1307*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17\/4 of a millimeter?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/(24960\/15)*(-48)\/(-8).\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 542 (b) -5 (c) -0.08723 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2702936110 to the nearest integer?\nAnswer: 1393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 2*f + 2332 - 2321, 3*b - 51 = 8*f for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -10. Suppose -s*v = -3*v - 10. What is the highest common factor of v and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 28 + -2 + -13.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -101 - -111. Calculate the remainder when 26 is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4753500 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 10a?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - z + 56837 = 4*v, -3*z = 4*v - 113667. What are the prime factors of v?\nAnswer: 2, 3, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/260 and -109\/360.\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 3 + 4 - 3 + 1. Let m be y(2). Suppose 5*f - 115 = 5*n, -97 = -4*f + 2*n + m*n. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10229613 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -5. Let y(u) = 3*u + 1 + 3*u**2 - 2*u**3 - u**2 - 3*u**2 + s*u**2. Determine y(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4485*i**3*n + i**3 - 5*i**2*n + 308*i**2 - 29459212*i*n + 4*i wrt i.\nAnswer: 26910*i*n + 6*i - 10*n + 616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - v. Let i(p) = -5*p**2 - 6*p - 16. Let x(s) = -i(s) - 4*q(s). Let l be x(-8). Factor 1\/3*h**3 + 0 - 1\/3*h + l*h**2.\nAnswer: h*(h - 1)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -934 - -935. What is the nearest to u in 3, 38, -0.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/588*-7*-2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3684 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lldr when four letters picked without replacement from ddldlddrrrddddddd?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -6.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251*s + 120 + 226947 = 2655*s - 141995 for s.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*i**6 - 725*i**3 + 27*i**2 - 61*i?\nAnswer: -2880*i**3 - 4350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6857*p - 24036*p - 4126*p.\nAnswer: -21305*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -705.519547 rounded to zero dps?\nAnswer: -706","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*p + 1768 = 919 - 1038. What is the third smallest value in 0.3, -20\/7, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-10))\/(43707\/(-17140))\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 1:10 AM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 82\/105 and 47\/8995.\nAnswer: 26985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*y**2*z**3 + 2*y**2*z**2 + 2*y**2 - 159*y*z**3 - 4*y - 2 wrt z.\nAnswer: 12*y**2 - 954*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1558 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 58*q**4*x + 539*q**3 - 3*q**2*x + 2*q**2 - 30662*q*x - 2*q + 2 wrt q?\nAnswer: 696*q**2*x + 3234*q - 6*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-286)\/33)\/(((34\/(-340))\/(-1))\/(3\/(-2)))\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/5, -0.7, -4, 71?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23294 divided by 19?\nAnswer: 1226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56552*g + 56552*g + 4*g**3.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 d, and 1 h when three letters picked without replacement from ihddnhknndhiqk.\nAnswer: 27\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u**2 - 185*u + 2012. Determine x(20).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 11. Let m = n - 8. Let i be (3\/m - 1)\/2. Solve i = -6*v + 3*v + 5*l + 14, 0 = 5*v + 5*l - 10 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 406, 3285, 11106, 26341, 51462, 88941?\n\"Answer: 412*y**3 - y**2 - 2*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -4, 3 in increasing order.\nAnswer: -13, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 406 + -191. Let z be (-2 + 5)\/(w\/35 - 6). Suppose 5*x - 57 = 678. Calculate the highest common divisor of z and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(2450) - (sqrt(2450) - (3*sqrt(2450)*1 + sqrt(2450) - sqrt(2450)))))\/(1*sqrt(160)*6 - sqrt(160)*-2*2).\nAnswer: -21*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 2*v - 7*v)*((2*v - 3 + 3)*(-v**2 + 11*v**2 + 4*v**2) + 0*v**3 - 2*v**3 + v**3).\nAnswer: -189*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus 207?\nAnswer: -207.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -9\/7, -0.1, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48241 - 17120. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1879 (base 11) to base 12.\nAnswer: 1469","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 1\/4, -3, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4373 (b) -1\/5 (c) -3 (d) -11 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nd when two letters picked without replacement from ddnnzdtd.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 + -26. Let y(r) = -10*r + r**2 - b*r + 3 + 33*r. Let w be y(-5). Which is smaller: w or -15?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2105008 is divided by 300715?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -1. Let v(q) = -2*q**3 - 3*q**2 + 2*q - 6. Let o(r) = -v(r) + 5*y(r). Determine o(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 0*g - 30. Let n = 1326996 + -1326995.6. Which is the closest to -1? (a) -5 (b) g (c) -0.1 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/13 - 50*x\/13 - 343308\/13.\nAnswer: 2*(x - 427)*(x + 402)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 64887*c**3*s**2 + 2*c**2*s + 31270*s**2 wrt c.\nAnswer: 389322*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -2, 30, -3, -2\/9, -12, 8?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3572 + 31*u + 3574 - 7146 + 22*u.\nAnswer: 53*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45 + -34. Calculate the remainder when (0 - (-270)\/14) + (-2)\/7 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29470 is divided by 292?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 8 = 3*d, 3 = -3*q + q - 5*d. Let y be 1\/q*(2 + -1). Suppose -5*g = u - y - 0, -u + 1 = 0. Solve g*f = -f - 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/3 + 32*u\/3 - 50875.\nAnswer: (u - 375)*(u + 407)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 6*k + 81. Let a be s(-12). Suppose y - 2*j = 18 - 7, -21 = -3*y + 3*j. Calculate the highest common factor of y and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 211*q - 3788. Let k be j(18). Let z = 1 + 1. Let o = 4 + -2. Solve -4*f + k = s + o*s, -2*f = -z*s - 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1267 + 1272 - 2539 - w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 11\/8 of a microsecond?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**2\/3 - 182*f\/3 - 8281\/3 = 0 for f.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 46, 42, 38, 34, 30, 26?\n\"Answer: -4*t + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 72?\nAnswer: -6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 387 - 109. Let m = 123 + l. Which is the third smallest value? (a) 1\/6 (b) -2\/35 (c) 0.3 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, -2\/23, 12, 27\/26, 7, 3?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -46*i - 4. Solve 5*h - a - 32 = -4*a, i = h - a for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/384)\/(1\/36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 286*p - 3543. Give m(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -2\/9, 22, 12, 1\/7, 2\/79 in descending order.\nAnswer: 22, 12, 1\/2, 1\/7, 2\/79, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r\/(r\/(r*(r*r\/r**(-1\/2)*r)\/r*r*r)))*r*r**(8\/9)*r assuming r is positive.\nAnswer: r**(-29\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -11\/3, -6, -2\/19, -567\/5, -3\/2, 0.32?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 217, 459, 767, 1135, 1557, 2027, 2539?\nAnswer: 3087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -10*m - 664. Determine q(-67).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2538271?\nAnswer: 61, 41611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/6)\/(-9 - (-614)\/66). Which is the biggest value? (a) -2 (b) 2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -185 and 543136?\nAnswer: -100480160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 59*n - 5. Let i(o) = -30*o + 3. Let t = 100 + -95. Let q(m) = t*i(m) + 3*h(m). Let p(s) = s. Determine q(p(c)).\nAnswer: 27*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 717707, 50 in ascending order.\nAnswer: 1, 50, 717707","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 0) + 30908\/18. Let h = -4190 + 2467. Let f = h + i. What is the common denominator of f and -59\/35?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of u**7\/2520 + 7*u**6\/720 + u**5\/60 - 33*u**4\/8 - 21*u**2 - u. Let q(j) be the second derivative of g(j). What is q(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -750*s = -251*s + 39421 for s.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.56 - 0.04. Let h = f - -1. What is the nearest to -1 in 1, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) -6 (c) 1\/4 (d) -3\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 3*z**2 + 4*z + 5. Let q be o(-4). Suppose -q = d - 2*d. Let v(x) = -x**3 + 6*x**2 - 6*x + 7. What are the prime factors of v(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - r - 4*r)*(-2*r + 1288*r**3 - 1467*r**3 + 3*r).\nAnswer: 716*r**4 - 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**2 - 1. Let p be q(-1). Let n(g) = -8*g**2 + 6*g - 6. Let y be n(p). Let w be y\/(-4) + (5 - 5). Which is smaller: 8 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 31*j - 4. Let i(r) = 56*r - 8. Let w(m) = 9*b(m) - 5*i(m). Calculate w(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 5)*(5*b**2 + 4*b - 4*b)*(89 - 97 - 3*b - 2*b) as z*b**2 + l*b**3 + t + v*b and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z**2 + 671*z + 6484. Determine o(-10).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87300.36 milliseconds to minutes.\nAnswer: 1.455006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53852092*z**3 + 28*z**2 - 6*z + 50535 wrt z.\nAnswer: 323112552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 1\/2*p**2 - 50 + 3*p. Calculate y(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence itit when four letters picked without replacement from ttittiiiit?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*h + 5488 = h, 20 = -5*h. Suppose o = -0*o - q. Round o to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14.66 - 0.34. Let i = 20 + p. Let o = -0.2 - -2.2. Which is the second smallest value? (a) i (b) o (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2*n + 86*n**2 - 3*n + 5*n + n**3 - 3*n**4 - 91*n**2 to the form v*n + y + b*n**3 + m*n**2 + f*n**4 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 658 (base 9) to base 6.\nAnswer: 2255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xpxwxrxxxxplp. What is prob of picking 2 x and 2 p?\nAnswer: 63\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/3 - -1) + 92 + -86.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -277*j + 277*j - 186*j - 304*j + 12*j.\nAnswer: -478*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - 5)*2 - (16 + -12). Sort -18, z, 0 in ascending order.\nAnswer: -18, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1804 to 2 decimal places.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1078 - 1094. Is (14 + 232\/x)\/((-1)\/2062) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 7\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 - 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (82\/(-12))\/(2 + -4). Let v = 343\/12 - l. Calculate the common denominator of 65\/6 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(30)\/sqrt(6))**2 + sqrt(125)*3 - (4 + (((-2*sqrt(5) + sqrt(5))*-6 - sqrt(5))**2 - sqrt(15)\/sqrt(3)*2)).\nAnswer: -139 + 17*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92616581?\nAnswer: 41, 1427, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 64470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -7825 to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + (-18)\/12)*4. Determine h so that 10*h**a + 2*h**3 + h + 15 - 1 - 27*h = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5.76 in 0.1, -7\/6, -3\/52, -1, -0.1?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*p = -17, -2*p - 25 = -5*i + 3*p. Suppose b - 15 = -2*g, 0 = -3*g + 2*b + 1 + 11. Let a be g - 1 - (1 - 1). Solve 3 = -i*s + a*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 111*u**3 - 196*u - 54195 wrt u?\nAnswer: 333*u**2 - 196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 + 7*y**2 + 7*y + 2.\nAnswer: (y + 1)*(y + 2)*(2*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 26 and -0.4.\nAnswer: -10.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*v**3 - 13*v**3 - v - v - 7*v - 2*v**2 + 0*v as g*v**2 + b + w*v**3 + c*v and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 557593?\nAnswer: 19, 29347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f**2 - 10*f + 12. Let w be k(6). What is the greatest common factor of w and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jv when two letters picked without replacement from ipqvijiqi.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/2 + 2037750\/65 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 6.7647\nAnswer: 13.5294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 q when three letters picked without replacement from tttqvqtqvtqtvqtqqtvv.\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 108*k**2 + 86*k + 1364. What is the thousands digit of z(-106)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -10 (b) -2\/21 (c) -0.5 (d) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 112, 210, 296, 364, 408?\n\"Answer: -z**3 + 105*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**2 - 12*j + 2. Let x(n) = 2*n - 1 - 3*n**2 + 9*n + 4*n**2 + n**2. Let o(h) = -5*m(h) - 6*x(h). What is w in o(w) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/11? (a) 0 (b) 0.1 (c) -0.2606 (d) 3\/55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + p - 42 = 0, -5*g + 51 + 19 = 3*p. Suppose 0 = -b - 4 + g. Calculate the lowest common multiple of 18 and b.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -z**10\/168 - z**6\/15 + z**3\/6 - 49*z. Let d(s) be the second derivative of h(s). Find the third derivative of d(w) wrt w.\nAnswer: -3600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of 0*q - 196*q**2 + 1\/12*q**4 + 1\/30*q**5 - 1\/3*q**3 - 1\/60*q**6 + 0. Determine s, given that i(s) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 2030300422?\nAnswer: 2030300430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -55424 + -13155?\nAnswer: -113023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1383 + 2974. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -147*a. Let d(s) = 6*s. Let m(x) = 2*x. Let p(j) = -2*d(j) + 7*m(j). Give p(n(o)).\nAnswer: -294*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.95969 + -16.23801. Let q = 0.0777 + u. Let b = q - 0.38. Round b to the nearest integer.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.6 - -3. Let n be ((-182)\/208)\/(133\/38). What is the third biggest value in n, 18\/13, t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -14. Let v be (4\/24)\/(l\/4). What is the closest to 0.1 in v, 5, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 20176*y - 7. Let k be d(-5). Let u = 164814 + k. Let m = 16073 + u. Round m to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9192841cm in millimeters?\nAnswer: 9.192841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + 0. Let t = w - 6. Suppose -4*a = 5*v - t*a - 67, 0 = 4*a + 8. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9679110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.273 - -0.273. Let t = 7.7 - 8.2. What is the second smallest value in t, -1\/30, h, 1\/9?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007204 rounded to six decimal places?\nAnswer: 0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 82149 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34*((-24)\/(-32))\/(7 + 33\/(-6)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.33 - -2.93. Let p = -3 + q. Let u = 0.11 + -0.11. Which is the third biggest value? (a) u (b) p (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + ((-1)\/(-1) - 1). Suppose -2*v - 6 = i, -v - 2*v = -4*i - z. Let a = 3 - i. Solve -5*m = 3*y - 40, -4*y + a*m - m = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.06 - 0.04. Let c = 0.22 - 4.22. What is the nearest to -0.3 in s, 2\/9, c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -4, 1\/5, 1\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 14*g - 39. Let f be d(-6). Suppose f*r + 15672 = 3*r. Let c = -1171 - r. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5176, -5421, -5668, -5917?\nAnswer: -6168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5*j - 32. Let h be z(-5). Let p be 8833\/2*(-3 - h). Suppose 4*y - p = -2*q, -2*y + 2*q + 17670 = 2*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -9 + 15*y - 16*y + 8. Let r(w) = w + 3. Let n be r(-5). Let u be 1 - 6 - (-4)\/n. Let g(d) = d + 1. Determine u*g(c) - 6*s(c).\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 d when two letters picked without replacement from {d: 1, e: 1, j: 1, w: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11647*d - 11640*d + 7. Sort d, -1\/6, -46, -6 in ascending order.\nAnswer: -46, -6, d, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 1. Suppose 4*z + u*y - 12 = 0, -z + 5*y - 1 + 4 = 0. Let m be z*(-3 - (-12)\/2). Solve -5*x = -m*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/558330 and 3\/2.\nAnswer: 558330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, w: 7, y: 7}. What is prob of picking 2 x?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c49 (base 15) to base 8.\nAnswer: -5321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 75 - 73. Let y(k) = -k**3 - 7*k**2 - 6*k + 1. Let m be y(-7). Which is bigger: j or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-2 - -5)) + -1 + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -55462*q - 1497453. Determine f(-27).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**2. Let q(n) = 2. Let l(g) = 16*g - 9. Let f(w) = 2*l(w) + 10*q(w). Determine f(y(i)).\nAnswer: 96*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132807 is divided by 12073.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -41094*(14 + 340\/(-24))?\nAnswer: 3, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = -13*p + 15. Solve -p*i = -5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from brroblbpgglb. Give prob of picking 2 b and 1 g.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1076861741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 15, -4549, 0 in descending order.\nAnswer: 15, 0, -1, -4549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -3*k**2 + 0*k**3 + 1\/4*k**4 + 0 + 0*k. Let b(o) = -2*o**2. Calculate g(b(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -62*x + 2167. Let y(s) = 52*s - 2167. Give -6*y(m) - 5*z(m).\nAnswer: -2*m + 2167","meta":{"dup_signals":{},"source":"polynomials__add_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: Let q(k) = k**2 - 9*k - 2. Calculate q(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f + 1. Let k(v) = -1. Let b(s) = -4*s - 14. Let p(q) = -b(q) + 12*k(q). Give -7*j(u) + 2*p(u).\nAnswer: u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 19*m**2 - 1 + 1 - 2*m + 3*m. Let x be f(-1). Solve 4*q = a - x, -3*q + 30 = -7*q - 5*a for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -1 - (13 + -13).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k. Let v(t) = t**2 + t - 3. Let w be v(-3). Let q be 1 - (-1 + w - 3). Let f(c) = 5*c**2 - 4*c**q + 4*c**2. What is r(f(l))?\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-410)\/25 + 9.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 3*l - l)*(0*l**2 + 4*l**2 - 11*l**2) + 14 - 10 - 2656*l**3 - 11*l**2 + 2651*l**3.\nAnswer: -19*l**3 - 11*l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 32376 divided by -4047?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z**2 + 349*z - 1114. Determine l(113).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of 0 + 1\/24*p**4 - 5*p**2 + 12*p - 1\/6*p**3. Let m(q) be the first derivative of r(q). Determine m(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -301222 + -331333223?\nAnswer: -332301111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ofbffffnbbboofmmnnf. Give prob of picking 1 n and 1 m.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**2 + 9457*d + 66248 = 0.\nAnswer: -7, 9464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2654587, 5309175, 7963761, 10618345, 13272927, 15927507, 18582085?\nAnswer: 21236661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357440.\nAnswer: 2, 5, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*c**4 - 2*c**3*p*r**2 + 8*c**3*r**3 - 3*c**2 + 2*c*p*r**3 - c*p*r - 5*p wrt c.\nAnswer: 480*c - 12*p*r**2 + 48*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 91 - 41. Let m = 7632.9802953 - 7582.9803. Let g = n - m. Round g to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 154 and 1?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - n + 18. Let a(d) = -4 + 0*d - 4 - d. Let r be a(n). Let m(y) = -2*y**3 - 4*y**2 - y + 2. Give m(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29396.\nAnswer: 2, 7349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3271 divided by 1?\nAnswer: 3271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20775 - 20745. Is h at most as big as -115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.641119 litres to millilitres.\nAnswer: 9641.119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 0*r**2 + r**2 - 2*r**2 + 0*r**2 in the form i + n*r + h*r**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*i - 5. Solve -2*t - i*v + 2 - 7 = 0, 4*t - 5*v = 35 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 18 = -5*o + q, 0 = -5*o + 2*q - 9. Let m(v) = -v**3 + 5*v + 2. Is m(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1376 = -20*g - 1316 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 152 and 20140.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/72 and -65\/1143513?\nAnswer: 9148104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 u when two letters picked without replacement from {j: 5, l: 2, u: 2, d: 2, c: 3, y: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + i = 29, 0 = -6*a + 11*a + 2*i - 33 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -140 - -243. Let o = 37 + c. What is the highest common factor of 56 and o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8028, -22, 1, -17 in decreasing order.\nAnswer: 1, -17, -22, -8028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -54 + 57. Let h = v - 3.2. What is the third biggest value in 4, -2\/7, h?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -103*o**3 - 4*o**5 + 224*o**3 - 101*o**3 + (-2424*o - 65*o**2 + 2424*o)*(-2*o**3 + 3*o**2 - 3*o**2).\nAnswer: 126*o**5 + 20*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence giii when four letters picked without replacement from {i: 3, g: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -610.279.\nAnswer: -122.0558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {m: 2, j: 4, a: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.4 (b) 5 (c) -2 (d) 2\/199803\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2148128?\nAnswer: 2, 67129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.5321 years to millennia.\nAnswer: 0.0845321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (573*o**2 + 484*o**2 + 118*o**2 + 1112*o**2)*(o**2 + 0*o**2 - 4*o**2).\nAnswer: -6861*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26.8 - 27. What is the closest to -2 in 0.4, q, 4\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of m**5\/10 - 7*m**4\/6 + 331*m**3\/3 - 268*m**2. Find the first derivative of s(r) wrt r.\nAnswer: 12*r - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/3)\/p**(-1))\/((p**(1\/7)*p)\/(p\/(p\/((p\/p**6)\/p)*p)))*(p\/(p\/(p**1*p*p)))\/((((((p*p**6\/p)\/p)\/p)\/p)\/p)\/p)*p**3*p**(3\/2) assuming p is positive.\nAnswer: p**(-13\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (360\/78)\/((8\/(-312))\/((-3)\/18))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t**2 + 4*t + 6. Let m(l) = -164*l - 4268. Let b be m(-26). Let i(a) = -5*a**2 + 8*a + 11. Determine b*i(f) + 7*c(f).\nAnswer: -f**2 - 4*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a\/(a**0\/a))\/a))\/a**11)\/(a\/(a\/a**(1\/2)))**(-40) assuming a is positive.\nAnswer: a**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r**3 - 28*r**2 + 8*r = 0. What is r?\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-1*1\/25)\/((-247)\/130)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 - -38. Let r = k + -9. Let t(m) = -40*m**3 + 5*m**2 - 6*m + 5. Let z be t(r). What is z rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2*w + (3 - 10 - w + 0*w)*(7 - 2 + 10))*(w**3 - 2*w**3 + 2*w**3) as r*w + f*w**2 + p + j*w**3 + u*w**4 and give j.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8490 = 175*c - 4115 for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*q - 223 = 27 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26736 and 1776.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -371*m = 48*m - 189*m + 11730 for m.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 12 = 6*f, 3*f = 2*a + 3. Let t = -173 + 177. Let z be 60\/(-2)*t\/a. What is the greatest common factor of 10 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13272*z - 149*z**2 + 13272*z + 148*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/19)\/(t\/(t*t**(-4\/3))) assuming t is positive.\nAnswer: t**(-73\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.1, -2\/13, -18 in descending order.\nAnswer: 0.1, -2\/13, -0.2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 879137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**3 - 3*x**2 + 1. Suppose 0 = -4*b + 2*b + 4. Let i be u(b). Suppose -2 - i = -r. Calculate the remainder when 20 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 6 - 8 + 15. Let u(w) = 4*w + 1. Let o(n) = 3*d(n) + u(n). What is s in o(s) = 0?\nAnswer: -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 9*d - 52. Let b be (0\/d)\/(1 + -6). Solve t**3 + 7\/2*t**4 - 7\/2*t**2 - t + b = 0 for t.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -2*m - 6. What is the smallest common multiple of m and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -730*a + 190*a + 2160 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + 13. Let c(n) = 2750 + 2*n - 1378 - 1365. Give c(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 7*v**2 - v - 7. Let p be c(-7). Let h(k) = 2*k + 57. What is the units digit of h(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -52, 4 in decreasing order.\nAnswer: 17, 4, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/18 < 5\/61498?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 904.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -249 or 253?\nAnswer: 253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**3 + 31*z**2 - 17*z + 4. Let c be q(-16). Let u = -0.3849 + 0.0849. Is c <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 164 - 143. Suppose -51 = -18*k + j. Solve 2*n = n - k*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 593 divided by -429.\nAnswer: -593\/429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 8:23 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-2 - -1) - 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11336 divided by -3?\nAnswer: -11336\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -0.274 (c) -336 (d) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5*m = 59, 81*f = 78*f + 5*m + 43. Suppose -5*k + 285 = -0*x + 5*x, 15 = -3*k. What is the remainder when x is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(11)*-2*6).\nAnswer: -sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/1368 - -305\/1368. Let s = -3 - 0. Let a be (0 + s\/4)*2. What is the second biggest value in -4\/11, a, j?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 11*x**2 + 3*x - 3. Let j(y) = -104118*y**3 + 104119*y**3 - 4 + 7*y + 23*y**2 - 2 - 1. Calculate 7*c(z) - 3*j(z).\nAnswer: -3*z**3 + 8*z**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 742*v**4 + 10*v**3 + 26*v**2 + 306317*v wrt v?\nAnswer: 8904*v**2 + 60*v + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 30*d + 89. Give q(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, d: 3, m: 3, n: 6, c: 1}. What is prob of picking 1 t and 1 d?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (33070\/15 - -7) + 6\/(-9)?\nAnswer: 3, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j\/j**(-7)))*(j\/j**(1\/7))\/j)\/(j\/(j*j\/j**(-9\/7))*j*j*j*j**(2\/21)) assuming j is positive.\nAnswer: j**(148\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-693)\/(-22))\/(-21)*7\/(315\/(-20))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1655378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -2*t + 6, 2*f - 6 = -2*t + 4*f. Suppose t*p - 62 - 10 = 0. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 687114234317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/2625 and 97\/140.\nAnswer: 10500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h + 1. Suppose 0 = -8*u + 2*u + 36. Let f(b) = b**2 - 6*b + 8. Let q be f(u). Suppose 4*w - 2*w + q = 0. What is n(w)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(175))**2 + 5 + 2 + sqrt(175)*-2.\nAnswer: -10*sqrt(7) + 707","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.2 - -296296547675.\nAnswer: 296296547670.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3227\/23190 - 9\/1546. Which is the third biggest value? (a) -3 (b) h (c) 99\/7 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 4. Let r = 173 - 1905\/11. Is r smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21126011 + -5?\nAnswer: 21126003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 24 + 1 - 1 + 0 + 3 + (-3 + 1 - 1)*(-1 + 2 - 2))*((-4*n + 5*n + n)*(3*n - 3*n + n) - n**2 - 4 + 4).\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j + 35. Let d = 40 + -47. Let w be s(d). Calculate the highest common divisor of 4 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -854 (b) 0 (c) 2 (d) 5 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*d + 2 - 3 + 2*d)*(112*d - 941 + 1467 - d**3 - 538) to m + w*d**3 + u*d**2 + k*d**4 + l*d and give l.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14993 - -15011. Calculate the least common multiple of c and 200.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5 + 3 = 0. Let u = -2 - -1. What is the smallest value in y, u, -3\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*t + 5*t + 3*t)*(t**2 + 2*t**2 - 7*t**2) - 10 + 8 + 82*t**3 - 97*t**2 + t + 95*t**2 to x + m*t**3 + g*t**2 + s*t and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + l + 10. Let p be s(0). Let w = 15 - p. Let c(b) = -21601*b + 5. Let x be c(w). Round x to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 14, 0, -2704.38?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4\/11 + 372*b**3\/11 + 3072*b**2\/11 + 6208*b\/11.\nAnswer: -2*b*(b - 194)*(b + 4)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 i when two letters picked without replacement from {u: 1, r: 11, i: 2}?\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73 - 73. Solve w = 2*f + 3*f + 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 1101010000010100101?\nAnswer: 1101010000010100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 390 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-5) - (-214)\/10. Let c(q) = -q**2 - 12*q - 4. Let r be c(-11). Let d = u - r. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 5*a - 66, 0 = 3*a - 4*q - 15 - 18. What is the remainder when 4*1*14\/4 is divided by (-1)\/(a\/(-12) - 2\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -68834 - -68833.9. Let q = 218 - 311. Which is greater: t or q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 153 in -6, -2, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 51068\nAnswer: 10213.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**5 - a**5 - a**5 + (-2*a**4 + 0*a**4 + 3*a**4)*(-1 - 2*a + 1) + (-2*a - 2 + 2)*(-27*a**4 + 59*a**4 - 23*a**4).\nAnswer: -19*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1748 - 132*x - 1748.\nAnswer: -132*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1154187 is divided by 39789.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 29 - 5?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41*w**6 + 2*w**4 - 2*w**2 + 49*w.\nAnswer: -4920*w**3 + 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/23 - 11\/92. Let m = 26 - 13. Let v = m + -18. Which is the nearest to g? (a) v (b) 2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3889 - -42681\/11. Is -1 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*q - 60 = 18*q. Suppose -q = -3*a - 0*a. Suppose g - 72 = -4*j, -3*j - a = g - 63. Solve -22 = -5*l - n - 2*n, n - j = -4*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*q + 61, 4*o = 2*q + 2 - 60. Suppose 4*c + 3*z = 2*c + q, 5*z = 5*c - 140. What is the remainder when 43 is divided by c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03842581 to three decimal places.\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4612 (base 7) to base 9\nAnswer: -2261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 78947 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 2. Let o(y) = -6*y**2 - 15. Let b(m) = 2*m - 2. Let j(k) = -6*k + 6. Let h(u) = 16*b(u) + 5*j(u). Let l be h(2). What is l*o(w) - 15*n(w)?\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 - -47\/2. Let h = -1.4999 + 1.5999. Which is the nearest to -1\/4? (a) 15 (b) i (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.86 - -0.14. Let f = -4.93 + w. Let r = f + 0.93. What is the closest to 1 in 2\/9, 3\/5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -16*l. Let n(t) be the first derivative of 32 + 0*t - 1\/2*t**2. Determine m(n(q)).\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**2 + 302001*k + 27809484 = 0. Calculate k.\nAnswer: -92, 100759","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 3) to base 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l + 40. Determine m(18).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185 = 2*j + 3*j. Let v = 64 + j. What is the highest common factor of 54 and v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -486, -777, -1094, -1437, -1806, -2201, -2622?\nAnswer: -3069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3203 (base 4) to base 2.\nAnswer: -11100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b**3 + 10*b**3 + 18*b**3.\nAnswer: 34*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.779289528 to 4 decimal places.\nAnswer: 0.7793","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3008.487 - 8.96.\nAnswer: -3017.447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 14*o - 67. Let h be v(-18). Let j be -7 + (h - 0\/4). Which is the third smallest value? (a) -0.1 (b) -5 (c) j (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (3 - 4\/4))*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*a - 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0)*(13*q + 24*q - 14*q).\nAnswer: -23*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r - 453805*r**2 + 6*r - 3*r + 454895*r**2.\nAnswer: 1090*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -513*r - 109. Let l be n(-1). Suppose -382*a + l*a = 88. Factor 30\/7*u**2 - 2\/7*u - 96\/7*u**3 - 128\/7*u**a + 0.\nAnswer: -2*u*(u + 1)*(8*u - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 a factor of 284853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 381406.58 + 0.3.\nAnswer: 381406.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-53779)\/(-16) + 1\/(-2). Let y = 3365 - s. Calculate the common denominator of y and -5\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13\/5, 5, 2\/15 in increasing order.\nAnswer: 2\/15, 13\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39 - -39.366. Let q = k - 0.066. Are q and -0.9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 4:28 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170)\/(sqrt(10) + (sqrt(30) + (sqrt(30) + sqrt(750) - sqrt(30)))\/sqrt(3)))**2 - (1*-4*sqrt(1377) - sqrt(1377))**2)*1.\nAnswer: -1686808\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -5 + 5 - 4*s - 5 + 4. Let k be (1\/(-2))\/(2\/4). Let q be c(k). Solve 5*y + 27 = u, -q*u + 4*u + y + 3 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a week in minutes?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8497 is divided by 501?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14200768 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 92.1 - 83. Let h = -9 + f. What is the nearest to h in 1, 2\/11, -0.2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9942, -9972, -10022, -10092, -10182, -10292, -10422?\n\"Answer: -10*g**2 - 9932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -512*i**2 - 657*i**2 + 1171*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 15 = x, 5*g - 30 = -6*x + 7*x. Let h(d) be the first derivative of 3*d + d**2 - 1\/3*d**3 + g. Factor h(n).\nAnswer: -(n - 3)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-4)*(-7)\/(-42)*-4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1984 + 1981. Let x = -0.2 + 0.7. Sort x, n, -0.4, -5 in increasing order.\nAnswer: -5, n, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 - 18 = 4*b + 2*a, 5*a = -5*b - 45 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(1088)*1 + sqrt(17)*1 + 0 + (-3 + sqrt(51)\/sqrt(3))**2.\nAnswer: 26 + 27*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5*a + 2877065 = 0, -15*a + 2301636 = 4*r - 11*a. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-13\/2))\/o**(-13))\/((o\/(o*o*o*o*(o*o**(1\/3)\/o)\/o))\/o*o**(-2\/9)*o) assuming o is positive.\nAnswer: o**(181\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 266 = 338. Suppose 3*u + 62 = 4*y, -5*y = 4*u - 2*u - 66. Calculate the lowest common multiple of f and y.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**4 + 3*h**4 + 7*h**4 + (-2*h + h - 3*h)*(3*h**3 - h**3 - h**3).\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/3)\/y*y)**(-2\/17))**24 assuming y is positive.\nAnswer: y**(32\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 48*((-3)\/(-9))\/((-2)\/(-10)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27 * 286.\nAnswer: 7722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = 2*h. Suppose -h*w - 3*f + 92572 = -8*f, 46260 = w + 4*f. Let o = -79976 + w. What is o rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -51 - (-18 + 3 + 4)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-96)\/(-88))\/(18\/99)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 28 = -3*h, h + 124 = 8*d + 100 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3 = -3*g, 28*o - 24 = 23*o + 3*g. Solve 5 = -o*v + 8*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.04 + 12.74. Let o = 11 - d. Let h = 158\/27 + -736\/135. Which is the closest to h? (a) o (b) -2 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -39. Let i = q - 12. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2 = 4*i + 16, 3*i = -k - 11. Let t(m) = -6*m + 2. Let w be t(k). What is the highest common divisor of 2 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/1840 and 91\/6175040.\nAnswer: 6175040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 840.29215*0.1.\nAnswer: 84.029215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b - 10. Let x be d(-7). What is the second smallest value in -2\/11, x, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 1:30 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from afxfmkmmfxammmkaffxf. Give prob of picking 1 f, 1 a, 1 k, and 1 m.\nAnswer: 72\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*m + 8*m + 12. Suppose -m*k = -112 - 68. Calculate the highest common factor of 12 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/3 of a hour?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4*u**2 - u - 2151. Let s(q) = -3*q**2. What is l(s(n))?\nAnswer: -36*n**4 + 3*n**2 - 2151","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**4 - u + 5*u - 8*u + 3*u**2 + 0*u**2 + 2 to the form k*u + t*u**3 + l*u**4 + f*u**2 + z and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -110003451 - 233?\nAnswer: -110004124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007364 to 6 decimal places.\nAnswer: 0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6733, -6730, -6725, -6718, -6709, -6698?\n\"Answer: p**2 - 6734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 78.183 - 0.183. Let j = f - 81. Which is bigger: j or -60?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k - 12*k = 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000110 (base 2) to base 6.\nAnswer: -342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/4 (b) 2\/17 (c) 2071\/7 (d) 0.025 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -0*i - 0*i. Suppose -3*o - 8*h = -7*h - 1171, 2*o - h - 779 = i. What are the prime factors of o?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 29, 85, 183, 329, 529?\nAnswer: 789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00032427777 to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.03261662 + 116.96520338. Let u = -190 - -73. Let t = u + l. Round t to four decimal places.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -o + 3*b + 37, 0 = 3*o - 3*b - 102. Suppose -3*s - o = 8*s. Which is greater: s or -10\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*h + 19. Suppose h*w = 2*w + 6. Suppose 4 = -w*m + 14. Solve -5*l - n - 8 = 0, -m*l + 3*l + 10 = -4*n for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 49903.4377 to the nearest 1000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 - 32*s + 7. Let i be x(16). Let q(c) be the first derivative of 1\/2*c**2 - i + 0*c + 1\/6*c**3. Factor q(d).\nAnswer: d*(d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -94 + 102. Suppose -17 = w*p - 1. Which is the closest to 2\/33? (a) 0.3 (b) p (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**3 + 2*f**2 + 2*f + 2. Let m be y(-2). Suppose -7 = 3*o + 5*a - 32, 0 = 2*o + 2*a - m. What is the greatest common factor of o and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (77\/(-14))\/((-66)\/132)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 90 in -4, 117, -0.03, -0.4?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 - 3*v**2 + v**2)*(-1 - 2*v**3 + 1) + 9*v**5 + 71*v**3 - 71*v**3 + (-v**2 + 2*v**2 - 3*v**2)*(-v + v - v**3) + 2*v**5 - 3*v**5 + 0*v**5.\nAnswer: 12*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 1790*d**3 + 8*d**2 - 4*d - 180. Let u be t(-7). Let y = -604381 - -1028111. Let a = y + u. Round a to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kka when three letters picked without replacement from kaaacaakck?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 437612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -738 + 738. What is the second derivative of 5 + 6 - 257*z**5 + 9*z**2 - 9*z**2 - z + p*z wrt z?\nAnswer: -5140*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 2:16 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*q = 9. Let b = 1 + q. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(57) + sqrt(456)\/sqrt(32) - sqrt(57))\/(sqrt(9)\/(1*sqrt(3) + sqrt(3))))**2 + 5 + (2 + sqrt(76)\/sqrt(4))**2*6).\nAnswer: 144*sqrt(19) + 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -5*n + 12 + 2, 16 = 2*n - 4*i. Let z(x) = x**2 - x - 5. Let t be z(n). Let p be 1\/(-2)*(t + 7). Let c(d) = d + 1. Calculate c(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5055 and -1.\nAnswer: -1.5055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 j, and 1 v when four letters picked without replacement from {y: 9, j: 3, v: 1, w: 1, b: 1, z: 3}.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 424*i**2 - 212*i**2 - 209*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, u: 1, c: 3}. What is prob of picking 1 c and 1 u?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, z: 4, t: 8, d: 1}. What is prob of picking 1 z, 1 f, and 1 d?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 191 (base 11) to base 3.\nAnswer: 22012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 12*v**2 - 16*v + 18. Is 11 a factor of c(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25339.\nAnswer: 25339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away 609677635?\nAnswer: -609677634.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Is 23559863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of 0*n - 1\/30*n**6 - 1\/2*n**3 + 0 + 0*n**4 + 0*n**5 - 5*n**2. What is the first derivative of g(f) wrt f?\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -279880 (base 14) to base 16\nAnswer: -14eb38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 24931, 49886, 74841, 99796?\n\"Answer: 24955*b - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.9 and -0.516.\nAnswer: 0.384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -228 (b) -4 (c) 437 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -6*c - 5. Let i(b) = -148*b**2 - 4*b - 6. Let v be i(-1). Let s = 148 + v. Calculate z(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seventy-six fifths of a kilogram?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20313632627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/10 of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(176) + sqrt(176) + -5 + -3*sqrt(176) + (sqrt(176) - ((sqrt(176) - (1 + sqrt(176) + -2 - sqrt(176))) + sqrt(176)))))**2.\nAnswer: 864*sqrt(11) + 6660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -450*m - 17268 + 2868 for m.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2607 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 85\/38 - 3533\/76. Let y = -44 - l. Which is the closest to y? (a) -2\/7 (b) 0 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + 2 - 1 - -3) + 1. Suppose 5*n = 2*a - 47, 2*a = -c*n + 2*n + 57. Is a equal to 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*35\/28 + 18. Solve -2*j = -5*g + f, 6 = 2*g - 3*j - 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + (-1)\/1*-3. Let l(v) = 23*v**2 + 2*v - 1. Let q be l(1). Let x be q\/14 + -5 + 3. Which is the nearest to x? (a) 4\/3 (b) -0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 10*z**2. Let v(k) be the first derivative of -19*k**3\/6 + 118*k + 83. Let y(d) be the first derivative of v(d). Calculate y(n(f)).\nAnswer: -190*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 11 = -4*h, 5*f + 6 = -9. Let n(z) = 3*z**2 + 0 - 4*z**2 + 4*z - 4. Let k be n(4). Put h, k, -5 in descending order.\nAnswer: h, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2052 divided by -1?\nAnswer: -2052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 716137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3182401521?\nAnswer: 3, 13, 83, 313, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4753 is divided by 420.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - l + 1 = -0, -4*k + l = 1. Suppose 3*w + 4*d - 130 = k, 0 = -w - 2*d + 6*d + 22. Calculate the remainder when (0 + 1)\/(2\/w) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**0*f**5*(f**0)**(-48)*(f\/(f\/(f*f\/(f\/(f*f\/((f\/(f*f*f*f*f\/f**(2\/11)*f))\/f*f)))))*f**(-1\/4)*f)\/(f\/f**(1\/10)*f**(-4)) assuming f is positive.\nAnswer: f**(3667\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 - 3*v**2 - v**2 + 5*v**2 - 7 + 7 + (-5 - 1 + 4)*(6*v**2 - 3*v**2 - 4*v**2) + 67*v**2 - 79*v**2 + 42*v**2)*(0 + 0 + v) + v**3 + 0*v**2 + 0*v**2.\nAnswer: 37*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2680 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - -46. Let w = s - 13. Let o = 418 + -418. Solve -4*l + a + w = o, -2*a - 19 = -0*l - 5*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k + 4*k + 0*k. Let i(a) be the second derivative of a**4\/24 - 10*a**2 - 23*a. Let o(y) be the first derivative of i(y). What is z(o(c))?\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 1. Let s(g) = -4*g. Calculate -3*m(v) + s(v).\nAnswer: -4*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) 33157\/3 (b) 3\/2 (c) 3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5114 + 2582 = 148*f. Solve 5*j - f = -21*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6938559491.\nAnswer: 1601, 4333891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 4*b + 9. Let d(w) be the first derivative of -14\/5*w**5 + 13*w**2 + 23\/2*w**4 - 18*w**b - 1 - 4*w. Solve d(h) = 0 for h.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -10, 6, -2\/7, -4\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - l - 11 = 0, 4*q = l - 6*l - 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11110656059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 369\/(-9348)*(-208)\/(-39)?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -90 - (-13 + 18 + -52)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -3*b + 100. Let q be 4\/10 + (-8)\/b. Suppose -3 + q = -t. Solve 5*d = t*o - 4, -d = -3*d + 5*o + 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) 1\/3 (b) 5 (c) 0.1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, r: 15}. What is prob of picking 2 r and 2 d?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 204 divided by -17\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -5*v + 30, 7*v + 2 = 6*v - r. Let d(n) = 4*n**2 + 2*n - 1. Let h be d(2). Let z = h + -14. Solve z*u = 20, 0 = 2*c - 0*c + v*u - 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jbl when three letters picked without replacement from {e: 1, x: 1, b: 1, j: 2, l: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 9*f**2 - 9*f + 13. Let g be v(8). Suppose 0 = g*p + 3*p - 64. Suppose 2*z - 26 = 4*w - p*w, 2*w - 4*z + 2 = 0. Is w even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16048700677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -283.999999454 - -284. Round k to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -517, -1027, -1535, -2041?\n\"Answer: r**2 - 513*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/50*515\/618. What is the biggest value in -2\/5, 3, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 187462 to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 22 - -140?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -583.4258011 to 1 dp.\nAnswer: -583.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/(((-114)\/1124)\/19).\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -41318839*j + 9213583 wrt j.\nAnswer: -41318839","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6384 + -114809\/18. What is the common denominator of s and (2\/99)\/((-20)\/2325)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.5795 millennia to years.\nAnswer: 8579.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -4*w - 200. Let y be 2\/(-5) - 8671\/w. Let s = y + -50. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10281, 1, -4 in increasing order.\nAnswer: -10281, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -28.94184 from 0.04.\nAnswer: 28.98184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/36*78\/1. Suppose -3*q = 4 - 13. Let a be -3*((-2)\/q + 0). Put h, a, 4 in descending order.\nAnswer: h, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3362 + -3362. Factor 0 + w*m + 1\/7*m**2.\nAnswer: m**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -7*t + 11. Let p(c) = -15*c. Give p(s(b)).\nAnswer: 105*b - 165","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 11:31 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1ab7d (base 14) to base 15\nAnswer: 152b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3398, 12637, 33360, 71309, 132226, 221853, 345932, 510205?\n\"Answer: 957*a**3 + 2540*a - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uoc when three letters picked without replacement from {u: 1, c: 1, f: 5, o: 7, w: 1}?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-158)\/(-14) - (-8)\/(-28). Suppose 2*s - 2*a - 79 = -5*a, 0 = -s - 4*a + 32. Calculate the highest common factor of s and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 276568 divided by -69142\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1834 = 2*o + 5*a, 4*a + 3830 = 4*o + 106. Suppose -4*j = -2*l + 4116, -4*l = 5*j - 6950 - 1347. Let r = l - o. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3*((3 + 2 + sqrt(425) - -4*sqrt(425)*-1)*-5 + -3) + 3).\nAnswer: -486 + 1350*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7485, -7537, -7599, -7677, -7777, -7905, -8067?\n\"Answer: -l**3 + l**2 - 48*l - 7437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 5 = -u, -5*u + 3*a = 8 - 26 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 4177590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xoxoxxbdjxxdjjo. Give prob of sequence xj.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 1)*-2 + (-3)\/1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 14*b + 23. Let m be a(11). Let d be (18\/m)\/1 - -2. What is the nearest to 1 in -1\/3, d, -2\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -19 - (-3 - (18 + -8)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19361320 is divided by 201.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -76 + 79. Let a be (3 - (-6 + 50)) + (l - 1). Let m = a + 78. Does 13 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -5*z**2 + 4*z + 3*z**2 + z**2 + 1 + 5*z**2. Let a = -1 + -3. Is t(a) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2484, -2494, -2510, -2532, -2560, -2594, -2634?\nAnswer: -2680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*(z*z*(z*z**(-10))\/z*z)\/z)**(-23) assuming z is positive.\nAnswer: z**138","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of 0 - 2*x - 1\/3*x**4 - 1\/20*x**5 - x**2 - 1\/2*x**3. List the prime factors of a(-4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 533 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 9:41 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + l)*(2 + 0 + 0) + (8 - 16*l - 8)*(-2 + 2 - 2).\nAnswer: 34*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of 5*r**4\/12 + 4*r**3\/3 - 2*r**2 - 2*r. Factor l(n).\nAnswer: (n + 2)*(5*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 4*z - 4*d, 489*z + 32 = 487*z + 3*d. Suppose -3*x + 3 = -0. What is the remainder when z is divided by 1*2*(2 - x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -969 and 0.1?\nAnswer: -96.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1756*i - 1652*i + 812*i.\nAnswer: -2596*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -3*a**5\/5 - 34*a**4\/5 - 87*a**3\/5 - 52*a**2\/5 + 36*a\/5 + 32\/5 = 0.\nAnswer: -8, -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = 133*v - 125*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 6. Let t be (-27)\/b*4\/(-6). Is (2 + 0)\/(t\/(-48)) + 3 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1090 divide 17248517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4672932360 to the nearest integer?\nAnswer: 1672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32234 = -49*a - 31352 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -3*a**4\/16 + 218*a**3 - 2613*a**2\/8 + 3767. Factor s(g).\nAnswer: -3*g*(g - 871)*(g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 463299679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/5))**(-6\/23))**(-3\/38) assuming x is positive.\nAnswer: x**(-18\/2185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -68 + 440?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -921428, -1842588, -2763748, -3684908, -4606068, -5527228?\nAnswer: -6448388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 557*k + 3915. Determine x(-7).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 7, 358, -2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-4) - (-301)\/28. Suppose 3*q = 5*i + 6, 0*i = 5*q + 2*i - l. What is the third derivative of 3*d**2 - 6*d**2 + 2*d**2 + 3*d**5 + 0*d**q wrt d?\nAnswer: 180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 4*g - 16, -5*g + y = -7 - 2. Suppose -2*n + 4 = 3*v + v, -v - 5 = -n. Is g smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -3, 0, 15 in decreasing order.\nAnswer: 15, 1, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 823.1672 litres to millilitres.\nAnswer: 823167.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22544848 = -3*r + 5206051. Let u = -8931134 - r. Let o = u + 71535. What is o rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + t = 232, 152 = 2*h + t - 3*t. Suppose -3*p + h = -118. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -141, -159, -185, -219, -261, -311, -369?\nAnswer: -435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 373*y**3 + 6. Let o(p) = 2. Give 3*o(t) - q(t).\nAnswer: -373*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 1. Let y(u) = 25*u**2 - 175. Let k(h) = 525*q(h) + 3*y(h). Let a(r) = r. What is k(a(d))?\nAnswer: 75*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, c: 11, p: 4, m: 1, w: 1, u: 2}. Give prob of picking 1 m and 2 u.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o**3 - 2*o**2 + o. Let u be r(1). Let c(n) be the third derivative of -n**4\/24 + n**3\/3 + 5*n**2 - 421*n + 2. Give c(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -485658000 to the nearest one million.\nAnswer: -486000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 4:51 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1011)\/3370*(10 + 28).\nAnswer: -57\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 209152, 209180, 209258, 209410, 209660, 210032, 210550, 211238?\n\"Answer: 4*l**3 + l**2 - 3*l + 209150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24349.9 - -24350. Which is the nearest to g? (a) 1\/48 (b) -0.7 (c) 4 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-64)\/180)\/8*-5. Let y be (-4)\/(-14)*3\/(-6). Which is the third biggest value? (a) y (b) r (c) -0.02 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -275*s**2 - 106*s**2 - 416*s**2 + 18*s**2.\nAnswer: -779*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-28 + 25 - 13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 807113 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*d, -4*d + 12 = 3*u + 148. Let s be (-2)\/(-3) + u\/(-6). Does 8 divide 118\/8 + 2\/s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r**3 - 9*r**2 + 15*r + 25 = 0. What is r?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-66)\/6 - -16)*31477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.456152 - -1.31627. Let c = 0.14 + r. What is c rounded to five decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*m**3*n**2 - 2531*m**3*n*o**2 - m**3*n*o + 44*m**2*n*o + n**2*o**2 + n**2*o wrt o.\nAnswer: -5062*m**3*n + 2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40139941?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 354?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -7*c**2. Let j(k) be the first derivative of k**3 - 6. Calculate j(l(q)).\nAnswer: 147*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 5*v + 6. Let n be k(-6). Suppose 4*u - 24 + 0 = n. Suppose 0 = 3*c - 3, 10 = m + 5*c - u. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.1? (a) -4\/13 (b) 19391 (c) 1\/2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*v**2 + 50*v + 2*v**2 + v**2 + 55 + 5*v**2 - 6*v**2 = 0. What is v?\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27153*v**3 - 25246.\nAnswer: 81459*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -108.766973293 - 2.\nAnswer: -110.766973293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of q**4\/12 - 383*q**2. Let y(v) = -516*v. Give y(p(u)).\nAnswer: -1032*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1710)\/684*4\/215?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -85, -102, -135, -190, -273, -390, -547?\n\"Answer: -r**3 - 2*r**2 - 4*r - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -7*c - 107. Let l(o) = -8*o - 127. Let z(y) = 6*l(y) - 7*r(y). Suppose 6*f - 5*f = 9. Determine z(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**5 - 59438*s**4 - 178320*s**3 - 178322*s**2 - 59441*s.\nAnswer: s*(s - 59441)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -448, -519, -590, -661, -732?\nAnswer: -803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, h: 1, o: 2, s: 3, e: 4}. What is prob of picking 1 d and 1 o?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -42*k**2 - 77*k. Let x(n) = n. Let s(f) = -2*v(f) - 154*x(f). Let j be s(-1). Let q = j - 68. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + u + 0*u)*(33*u - 182 + 95 + 89).\nAnswer: 33*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.43 in -0.3, 5, 2\/49?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5 = 5*t + r, 3 = -3*t - 5*r. Let v(l) = -6*l. Let q be v(t). Suppose -3*s + q = -2*s. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of g**6\/240 + 113*g**5\/160 - 229*g**4\/96 + 115*g**3\/48 + 36*g - 2. Factor t(w).\nAnswer: w*(w - 1)**2*(w + 115)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73380390.\nAnswer: 2, 3, 5, 2446013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -22, -28, -30, -28, -22?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x + 5*x + x + 5*x - 9*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-three quarters of a gram?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -38\/29 smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 17 = -12, 2*b = 5*z + 61. Let t be ((-6)\/4)\/(24\/32). Sort t, 0, b in decreasing order.\nAnswer: b, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 158 = 44. Calculate the remainder when v is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**2 + 2*n**2 - 2*n**2 + (-2*n - 4*n + 5*n)*(0*n - 2*n + 11*n) + 4*n**2 - n**2 - 2*n**2 + (-2*n**2 - 2 + 2)*(2 + 1 - 2).\nAnswer: -11*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 2711 divide 156885570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 0 - 2)*1. Let w(s) = -s**3 + 6*s**2 + 9*s - 5. Let g be w(7). Let k = j + g. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 63*s**3 + 6*s**2 - 14*s + 39. Let a(i) = -i**3 + i**2 - 2*i + 6. Determine -6*a(p) + y(p).\nAnswer: 69*p**3 - 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.11 (b) 0.3 (c) 1\/4 (d) 325\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-3)*(-3)\/2. Suppose -f*y + 4 = -0*y. What is the third derivative of 4*c**2 + 4*c**y + 0*c**5 - c**5 - 6*c**2 wrt c?\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 2489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -962*z + 495*z + 467*z - 189*z**2.\nAnswer: -189*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -288, 8, -1 in ascending order.\nAnswer: -288, -1, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 12 + 68. Suppose -v = a + 3*v + i, -2*v = 4. Let g be 3 + a\/(-6)*-3. What is the nearest to 1 in g, -2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3*l - 6*j - 1, -5*l + 3*j + 21 = 0. Suppose l*q - 211 = -4. What are the prime factors of q?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 4*w**2 + 4*w - 4. Calculate o(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) -4\/2123 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 0 - (-11 - 2 - -9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68*t - 102 + 102)*(-19 + 49 - 17).\nAnswer: -884*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w + 3*w + 2*q - 14769 + 14701, 4*w - 96 = 5*q for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 - 37.9. Let d = -4.1 + h. Let r = -9\/2 - -25\/6. Which is smaller: r or d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 72135211 and -0.06?\nAnswer: -4328112.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230\/17 - 1378\/17*l - 12\/17*l**2 = 0.\nAnswer: -115, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*b**3 + 146*b**2 + 686 wrt b?\nAnswer: -9*b**2 + 292*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -0.2. Let t = -13 + 9. Let b be (-7)\/(-2) - 3 - -1. What is the nearest to -1\/3 in t, v, b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n + n - 2*g, -4*n = n + n - 4*g for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -2*b - 27 + 144, -5*b = -4*l - 303. Let f = 59 - b. List the prime factors of f\/(-3)*(83\/2 + 5).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3875 - -8808. Let f = q + -2754. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 3*z**5\/2 + 513*z**4 + 46794*z**3 + 495495*z**2 + 898425*z\/2 = 0.\nAnswer: -165, -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/((((n\/((n**(-1\/4)\/n*n)\/n))\/n)\/n)\/n)*n)\/(n**(-1)*n)*(n*n*(n**(-2\/3)\/n)\/n*n)**(2\/57) assuming n is positive.\nAnswer: n**(2573\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 328 + -229a?\nAnswer: -1b72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 81\/(-18)*(-220)\/99. Sort 3, 1, l in descending order.\nAnswer: l, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -21113?\nAnswer: 21120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 555193636?\nAnswer: 2, 487, 285007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 265943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 52, 61, 92, 157, 268, 437?\n\"Answer: 2*g**3 - g**2 - 2*g + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - c - 1. Let i(k) = 3*k**2 + 4*k + 4. Let r(u) = -3*i(u) - 12*t(u). Let v(q) = -1 + 1 + 4*q. Give r(v(j)).\nAnswer: 48*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 6*n - 46. Sort n, 0, -2, 5 in ascending order.\nAnswer: -2, 0, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1426 and 276?\nAnswer: 8556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 71 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(sqrt(32)*-4)*5 + (-6*1*sqrt(133) + sqrt(133))\/(sqrt(63) - sqrt(1575)).\nAnswer: 5*sqrt(19)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -0*d + 96. Is d a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1638*b - 164*b + 1758*b.\nAnswer: -44*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 332820 and 215.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2083 - -0.14598. Round j to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13407219 to the power of 1\/4, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, k: 1, c: 2, h: 2}. Give prob of sequence chk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = w + 13, 2*z - 10 = 4*z + 4*w for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 6*a + 0*a + 17*a**2 + 25*a**2 + 1 + 0*a**3 + a**3 - 34*a**2. Determine i(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 82 = -83. Let u = o - -49. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*b + 2*b = -11, -3*c - b = 0. What is the tens digit of c + 206 - 2 - (-13 - -13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5795128 and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8 and -0.1075.\nAnswer: 7.8925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 1431*w**2 + 3*w + 1. Is t(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/18 and -77\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.99? (a) 2\/57 (b) -9\/7 (c) -0.3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 10, -2*p + 3*p = -5*j + 378. Calculate the remainder when 376 is divided by j.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 50 = -5*a, 3*a + 5*p - 8 = -44. Let q = -12700\/9 + 254657\/180. What is the common denominator of q and 59\/6*3\/a?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 9*k - 20*k + 16*k. Let q(c) = 2*c. What is g(q(a))?\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246188 is divided by 61533?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-526)\/(-10) - (-72)\/(-120)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001110 (base 2) in base 9?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27209 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 {j: 9, h: 2}. What is prob of sequence jjh?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12151, -48620, -109411, -194530, -303983, -437776, -595915?\nAnswer: -778406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*h - 2, 3*h = t - 139. Suppose -97*w = -67*w - 48*w + 810. What is the remainder when t is divided by w?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11656\/282)\/(220\/(-33))?\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5522*s**5 + 3*s + 1808 wrt s?\nAnswer: 110440*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 7*d + 21. Calculate the remainder when 170 is divided by z(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 22\/3. Let q = -2\/7 + -3\/14. Which is the second biggest value? (a) t (b) -1\/10 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 40367570 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0139 + -1919.0139. Let n = m - -1918.99231. What is n rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 178 and 75027?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -3, -2, 5.\nAnswer: -20, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m. Let h(p) = -42*p**2 - 1. Calculate v(h(t)).\nAnswer: -42*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -32*m**3\/7 + 368*m**2\/7 - 498*m\/7 + 180\/7 = 0.\nAnswer: 3\/4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, t: 3}. Give prob of picking 2 t.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 c, and 1 s when three letters picked without replacement from chbhxxs.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fslfls. Give prob of sequence lfss.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/(a**(-7)\/a))\/a)\/a*a\/a**(-1\/4))\/((a*a**(4\/7)\/a*a*a)\/a*a**(-1)))**(-21\/8) assuming a is positive.\nAnswer: a**(-645\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 0.5, 1, -12\/11, 2\/5.\nAnswer: -12\/11, 2\/7, 2\/5, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -719 (base 10) in base 8?\nAnswer: -1317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7013 minus 4?\nAnswer: 7009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.495901 take away -4?\nAnswer: 4.495901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 156140 and 148?\nAnswer: 156140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 240697?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2.3, 43, 0.5 in increasing order.\nAnswer: -2.3, 0.5, 4, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31732172 + -3.\nAnswer: -31732175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.037, -0.2, 2\/3 in decreasing order.\nAnswer: 2\/3, -0.037, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 50 = 2*f - 2*t, 4*t = f - 40. Let h(z) = -24*z + 17 + 11*z - 4*z**2 + 5*z**2. Let q be h(12). Solve -d - f = -q*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.246 - -1.085.\nAnswer: 1.331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8409 - 269067\/32. Let w = -5237 + 73281\/14. What is the common denominator of i and w?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 600206902?\nAnswer: 2, 1493, 201007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*w**3 - 116*w**3 + 597*w**3.\nAnswer: 457*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 11*z + 20. Let v be o(-14). Let f = v + -61. Let h(s) = 4*s. Let m be h(f). Solve u + 12 = m*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**2 + 3*p. Let q be o(3). Let t(u) be the first derivative of -u**4\/4 - 10*u**3\/3 - 9*u**2\/2 - 11. Determine t(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -623*q - 4366. What is m(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 134*a**2 + 2*a - 14. Let v = -73 + 70. What are the prime factors of m(v)?\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7542511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/8 + p - 15\/8.\nAnswer: -(p - 5)*(p - 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g**3 + 5*g**2 + 40*g + 1. Give j(4).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jq when two letters picked without replacement from qujqhuquuqjnuuuuuq?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i - 5. Let w be y(7). Suppose -w*n = 6*k - 3*k - 17, -25 = -4*n - 3*k. Suppose u + n = 3*u. Solve 3*l = u*l - 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/7 + -5\/7. Let a = 30.2 + -30. Sort a, -0.5, n in decreasing order.\nAnswer: a, n, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-21))\/(3*6\/(-216))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 9304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -126 - -130. Let z = 1 - 1. Which is the nearest to z? (a) w (b) 0.1 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -488*t**2 - 532*t**2 + 1022*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 5*t**2 - 5*t + 8. Let p be q(-6). Let b = p + 1. Solve -5*s - 2 = b for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -37*g**5\/20 - 4*g**3\/3 + 75*g**2 + 1039*g. Find the first derivative of c(l) wrt l.\nAnswer: -111*l**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -327\/1876987 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1562573?\nAnswer: 89, 97, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13*156\/(-4732)*(-7)\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-8))\/((-1)\/8). Let m = 7 - 7. Suppose -2*p + 6*p - 20 = m. Put i, p, -1 in decreasing order.\nAnswer: p, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 554217055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1998 - 1958. What is the highest common divisor of 250 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -1835a78?\nAnswer: 1835a77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -45 - (-69 - -98) - -100?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**3 - 29 - 7 - 30.\nAnswer: 2*l**3 - 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45 - 43) + -2 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 - -0.2. Let p = -0.0252 + 1.0252. Which is the smallest value? (a) -2\/9 (b) p (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4232*w - 4243*w + 66 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -166800\nAnswer: 66720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*g**2 + 14*g**2 + 44*g**2 + 2*g**2 as s*g**2 + c*g + a and give s.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2853424 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(-465)\/6 + -2. Let w = -101 + c. Suppose 2*v - w = -8. Is v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 352946 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 1:41 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r - 4*r - 19 = -5*k, -2*k - r + 7 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -3*n - 12, 0*n + 5*p = -4*n - 34. Let m(d) = -7*d + 19. Is 17 a factor of m(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42477?\nAnswer: 3, 14159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000583938 to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 109419 - 6214. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 104?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*m - m. Suppose 2 = -i + m. Solve 0 = -2*f - 3*p - 16, -4*p = -i*f + 4 + 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (37 + (-61 - -36)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -b + 4. Suppose 3*m + 6*r = 102, 1225 = 5*m - 5*r + 1280. Determine u, given that u - 31\/4*u**4 - 7\/4*u**3 + 0 - 3*u**5 + m*u**b = 0.\nAnswer: -2, -1, -1\/4, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -6*c + 3*n, 0 = -5*c + 2*n + 5 - 15 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**5 + 26*l**4 + 70*l**3 - 98*l**2.\nAnswer: 2*l**2*(l - 1)*(l + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 12*j**2 + 27*j + 7. What is q(10)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13584 + 2709 = -25*m. What is the remainder when m is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 2. Let v = -193.1 + 193.3. Put v, 2\/19, 4, f in decreasing order.\nAnswer: 4, f, v, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -591 = -3*n + 2469. Suppose 3*j = 4*j + 3*c - 326, 3*j - 5*c = n. List the prime factors of j.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 0 - r**2 - 6*r + 5 + 1 + 1. Let i be w(-7). Suppose i*u + 90 = 2*u. Calculate the greatest common divisor of 18 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3 - 1677*y**2 - 13587*y - 11907.\nAnswer: 3*(y - 567)*(y + 1)*(y + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 0, -5, -1 in descending order.\nAnswer: 0, -1, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2054403 + 15?\nAnswer: 2054422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*d - 4. What are the prime factors of 59\/d - 1\/(-4)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 22624921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -6387313?\nAnswer: 6387316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 - -1 - ((-2 - -36) + -156 + (68 - -49))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -195, -293, -391, -489?\nAnswer: -587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-11)\/(-2) + (-92*13\/104 - -11). Solve l = 45*f - 44*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1040*s - 1062*s = -126962. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 + -49. Let m(c) = -c**2 - 5*c + 8. Let k be m(v). Let l = 129 - k. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 460 and 10235?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 0*r**2 + 0*r - 2 + 1\/3*r**3. Let t(q) = -5*q + 4. Let g(u) = u - 1. Let i(f) = -4*g(f) - t(f). What is p(i(s))?\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 8:52 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-2))\/(81\/540*20).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/3180 and 2\/45.\nAnswer: 9540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z**2 + 2*z**3 - 3 + 0*z**3 + 4 - 7*z**2 + z**4 in the form v*z + p*z**4 + g*z**3 + l*z**2 + a and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o - 13924 = -4432. Let p = -580 - o. Let l(m) = -m**3 + 6*m**2 + 2*m + 2. Let i be l(6). What is the highest common divisor of p and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1205 is divided by 47?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*j + 5. Suppose 5*i + 5*a - 447 = 3*i, -a = -j. Suppose -4*d + 807 + i = 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 8 = -4*d, 8*r = 5*d + 6*r + 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 130840 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 2*s - 4. What is p(-4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1783, -432 in descending order.\nAnswer: 5, -432, -1783","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 14*s**2 - 38*s + 71. What is the lowest common multiple of y(7) and 1156?\nAnswer: 42772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -23948.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 622*g - 233. Let a be b(-8). Is -5211 less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - -605?\nAnswer: 605.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 1 + 3*i - 2*i - 2. Let m(y) = -y + 9. Let q be m(4). Let k(b) = 6*b - 6. Suppose -2*j = -p, 0*j - 2*p = 4*j + 8. Give j*k(x) + q*r(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20\/3*s**2 + 104\/3 - 83\/3*s - 1\/3*s**3 = 0.\nAnswer: -13, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 604 = 3*c + 4*i - 75, -2*i - 448 = -2*c. Let p = c + -221. Solve 2*v + 4*j = -p + 2, v - 3 = -4*j for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of p**3\/3 + 7*p**2\/2 - 9*p - 62. Suppose 0 = 3*g - 2*t + 28, 5*t = -4*g - 23 + 1. What is z(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/6)\/(-3)*(-404)\/(-1). Let c = u - 75. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 times 5.8\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + s + 46, 3*v - 82 = -2*v + 3*s. Suppose 0 = 3*k + 5*z - v, -z + 2*z = -4*k - 4. Round k to 1 dp.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/5 (b) 18 (c) 7706 (d) -3\/7 (e) 2\/9 (f) 23 (g) 0\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 24345360900*a**3 + 12173928690*a**2 + 624136*a + 8 = 0?\nAnswer: -1\/2, -2\/78015","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*h**2 - 1 + (-12*h + 7*h + 10*h)*(-h - 9*h + h) to n + s*h**2 + d*h and give s.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -0.1, -305, 2\/5, 1\/4, -0.08?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 74, 56, -2, 8, -749, 1\/4?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -38*d + 38. Let j be t(-3). Suppose -155*w = -j*w - 183. What is the remainder when 224 is divided by w?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-15)\/30)\/(2\/18))\/3\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s**3 - 2 + 2)*(64 + 33 - 33)*(-4 + 3 + 2)*(4 - 3 + 1) to z*s**2 + y*s**3 + b*s + i and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*(-29358)\/17941?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -211\/46992 + 17\/1584. Calculate the common denominator of n and -32\/21.\nAnswer: 5607","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/2 and -133\/126306.\nAnswer: 126306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -640768.037 rounded to the nearest 10000?\nAnswer: -640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 6, -5*a - 9*x + 22 = -8*x. What is the lowest common multiple of 40 and a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 458\/(-17) + 5*11\/(-935).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12579395?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = 5*d + 2*b + 178, 3*b = 3*d + 174. Let y = -32 - d. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7591395 days to weeks.\nAnswer: 0.1084485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of 20*q**4 + 0 - 243\/2*q**2 - 110*q + 1\/10*q**6 - 27\/10*q**5 + 9*q**3. Solve h(w) = 0.\nAnswer: -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 10:02 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 141468, 1 in increasing order.\nAnswer: 1, 31, 141468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -588*i + 3531. Let b be f(6). Solve 9*g = 4*g + b*t - 40, 0 = 5*g + 4*t + 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17626649 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 21400234?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h + 11*h + 26 = 5*x, -20 = -7*x - 4*h for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 + 33.86. Let n = 19.478024 - 19.618. Let r = n - u. What is r rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-5)*((-27755)\/(-3087) - 9)*(-18)\/12?\nAnswer: 2\/245","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-36)\/1248)\/(36\/(-804)). Which is smaller: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21756 and 12396?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 - -40. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 387 = 383 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -49 * 21045\nAnswer: -1031205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18425 = -616*b + 3981*b - 218851 - 21664 for b.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/7, 5, 38, 2.8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47221 is divided by 1254.\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-2))\/(723\/240 - 3). Let m = q - 35. Suppose p + 141 = 3*n + 16, 0 = -2*n + m*p + 105. Is 28 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: -3746746 (base 8) to base 16\nAnswer: -fcde6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33665.\nAnswer: 5, 6733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(308)\/sqrt(112).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 140\/17? (a) -4 (b) -1 (c) -50343\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tptppttppsstttt. Give prob of picking 2 t.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 - w**3 - 8*w**3)*(-472 + 250 + 240 + (-2 + 3 + 0)*(0 - 3 + 1)).\nAnswer: -128*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2505 + 2817.9. What is l rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(4860\/(-225))*1\/5.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -128121 less than -422259?\nAnswer: -294138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3268939426?\nAnswer: 2, 7757, 210709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139345, 138047, 136749, 135451, 134153, 132855?\nAnswer: 131557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 58449*l + 175328. Give b(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -4*s + p - 36, -24 = 2*s + 3*p. Let x = s - -4. What is the common denominator of -85\/2 and x\/20*41*3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 4 = -2*i. Let m = 5 + i. What is the least common multiple of m and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 6*k**2 - 6*k. Suppose 2*i - 5*i + 171 = 0. Let u = 38 - i. Let x = -15 - u. Calculate y(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - x + 3*g + 49, 5*x - 105 = -5*g. Suppose x + 4 = 5*s. Solve 3*c = -s*h + 14, c + c + 14 = 2*h for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of 0*q**2 - q**3 - 4 + 7\/4*q**4 + 0*q. What is the third derivative of x(l) wrt l?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207586133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -33*z**5 + 7*z**4 - 10*z**2. Let q(v) = 16*v**5 - 3*v**4 + 5*v**2. Let t(y) = 3*j(y) + 7*q(y). What is the third derivative of t(w) wrt w?\nAnswer: 780*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 9:07 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 30013644239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -15*d**2 + 1\/3*d**6 - 3\/4*d**4 - 14 + 2*d + 0*d**5 + 0*d**3. Find the second derivative of y(x) wrt x.\nAnswer: 40*x**3 - 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 416 and 182.\nAnswer: 2912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 413674.5 weeks?\nAnswer: 69497316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2103*d + 2471*d - 1 + 1739*d as y*d + v and give y.\nAnswer: 2107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3597c (base 15) to base 14.\nAnswer: 463c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-40)\/(-84) + (-46)\/322)\/((-2)\/(-1134)) is divided by 157?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + o + 164, 3*v - o + 2*o = 166. What is the remainder when 273 is divided by v?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j**2 + 7*j - 13. Let l(s) = 4*s**2 - 9*s + 18. Give -4*l(p) - 3*m(p).\nAnswer: -4*p**2 + 15*p - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**5 - 2*h + 2*h + (13*h**4 + 21*h**4 - 6*h**4)*(-h + h + h) + 5*h**5 - 3*h**5 + 0*h**5.\nAnswer: 29*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 25c08 + -7?\nAnswer: 25c01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.98 - 0.02. Sort 0.1, n, 5 in ascending order.\nAnswer: n, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -54, -131, -314, -651, -1190, -1979, -3066?\n\"Answer: -8*x**3 - 5*x**2 - 6*x - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -1\/5, 673?\nAnswer: 673","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2 + sqrt(11) + sqrt(99))**2 + (-4 + 2 + sqrt(11))**2.\nAnswer: -20*sqrt(11) + 195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o**3 - 45*o**2 + 167*o + 26. Give r(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86549, -173078, -259609, -346142, -432677?\nAnswer: -519214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.1380653 (b) -0.5 (c) -0.4 (d) -0.3 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-2\/5)\/z*z)\/((z\/(z**(2\/5)\/z))\/z*z))\/(z**(-11)*z**(-1\/11)))**46 assuming z is positive.\nAnswer: z**(4600\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (62 + -4 + -58)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -321233 (base 4) in base 2?\nAnswer: -111001101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108, 1157, 4080, 9807, 19268?\nAnswer: 33393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-630980)\/6440 - -98)*(-4)\/(-6).\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**4 - 3*r + 3*r**2 - 2*r**3 + 5*r**3 - 8*r**4.\nAnswer: -3*r*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-60)*(-312)\/16?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 1425*r - 4926. Calculate i(4).\nAnswer: 774","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8345202.\nAnswer: 2, 3, 37, 37591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (84*n + 33*n + 111*n)*(-5*n - 20 + 11 + 8 + n**2) as f*n**2 + t + a*n**3 + w*n and give w.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 883.0775 decades to centuries.\nAnswer: 88.30775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 27 = -0*q + 2*q, 4*q = -16. Suppose 0 = 3*o - 6*o + 36. Calculate the remainder when k is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*j + 3*q, j + 5*q - 2*q = -1. Let m be j + (4 + -3)*-1. Let g be ((-2)\/(-3))\/(13\/(-39)). Is g at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 6:10 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 + 1)*(-o**2 - o**2 + 0*o**2 + (3*o**2 - 4*o**2 - o**2)*(2 - 2 + 2)).\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -1 - 3*h + 3*h - h**2. Let x be k(-1). List the prime factors of 1*(1 + x) - -12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 784 and 121520?\nAnswer: 121520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(2\/3))**(-21)*l**(2\/7)*l*l**(-2))**(1\/3) assuming l is positive.\nAnswer: l**(-250\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of 7*o**4\/12 - 7975*o. Let i(q) = -5*q - 215. What is g(i(t))?\nAnswer: 175*t**2 + 15050*t + 323575","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 13 = 12. Suppose -142 = -o*m - 2*g, 4*m - 2*g = m + 98. Let b be (m\/(-8))\/((-15)\/40). Solve b = -0*s - 5*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.3 (b) -0.042812 (c) -2\/29 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -s**4 - 37*s - 1657 wrt s?\nAnswer: -4*s**3 - 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5983259?\nAnswer: 5983259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 5:22 PM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2038a9 (base 11) to base 10\nAnswer: -327182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34.9 + -34.900000415. Round r to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -133 + 135. Let h = 9 - 13. Which is the closest to v? (a) -0.1 (b) 1\/2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -331486*u + 1694*u**3 + 332883*u + 0 + 0 wrt u?\nAnswer: 10164*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -db - -30?\nAnswer: -ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(-16)*c))\/c*(c**(13\/8)\/c)\/c*c)\/(c\/(c\/(c*c**(-7\/4))))**(-15) assuming c is positive.\nAnswer: c**(35\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cbcc when four letters picked without replacement from {c: 4, b: 9, u: 1}.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.985 + 3. Let p = n + -0.215. Which is the nearest to 2? (a) 0.5 (b) 1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.13 - -3.434. Let w = 63.796 + m. What is w rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + -3)\/(2\/(-17)). Let o(a) = a**2 + 2*a + 1. Let v be o(-1). Let y be v - (3 - 2)*-5. Solve 4*w = y*n - 31, n + 6*w = w - h for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 33*f**3 - 5*f**2 + 172*f - 168. Calculate m(1).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/7 + 7150*r**2\/7 + r\/7 - 7150\/7.\nAnswer: -(r - 7150)*(r - 1)*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, n: 3, o: 1, j: 2, q: 2}. Give prob of picking 2 j and 2 q.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149, -158, -181, -224, -293, -394?\nAnswer: -533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y**2 + 61*y + 5*y**2 + 2*y**4 - 4*y**4 - y**2 - 16*y in the form k + c*y**3 + v*y**4 + z*y + f*y**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 648355 to the nearest integer?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -i**7\/840 + i**6\/72 + i**5\/20 - 3*i**4\/8 + 59*i**3 - 179. Let c(x) be the third derivative of f(x). Give c(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (18 - 21) + (-2)\/(-56) and 31\/18?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**2 - 1. Suppose -2*c - p = p + 8, 16 = c - 3*p. What is a(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of o**4\/3 - o**3\/6 + 3*o**2 - 13*o. Is 6 a factor of i(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 904, 889, 874, 859, 844?\nAnswer: 829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 12:59 AM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 7:57 AM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 180569811838+0.3\nAnswer: 180569811838.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 2 - 32. Let u(q) = 4*q**2 + 6*q - 2. Let a(v) = 3*v**2 + 7*v - 2. Let s(n) = -3*a(n) + 2*u(n). Does 20 divide s(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1371243?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 526, -3, -2000, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, k: 4, a: 10}. Give prob of picking 1 z and 3 a.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 - 49 + 63*l**4 - 61*l**4 + (l - 4*l + 4*l)*(1 - 2*l**3 - 1) + 4*l**4 - 4*l**4 - 3*l**4 as s*l**3 + f*l**2 + r*l**4 + i + k*l and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -257*a - 503*a + 4*a as f + x*a and give x.\nAnswer: -756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 13 - 26*a - 1 + 6*a**2 + 13 - 6. Is v(12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 21. Suppose -14 = -5*u + o, -2*u - u = 2*o + 2. Let v(n) = -3*n - 42. Let z(a) = u*v(a) + 5*j(a). Let f be z(8). Solve -4*g - f = -1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -6*p + 80. Let f be 4\/(-6) - p\/(-24). Suppose q + q = f. Solve 0 = 4*n - q*n - 4*o + 8, -n = 4*o - 23 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11389\/(-84)*-3 - (2 + (-9)\/4). Calculate the highest common factor of p and 176.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 31426 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 a factor of 1663150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of j**5\/6 - j**4\/24 - 4*j**2. Let g be u(-1). Suppose -l + 0*l = -g. What is the remainder when 21 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*o - 235*o - 247*o + o**2.\nAnswer: o**2 - 631*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -70430, -140837, -211226, -281597, -351950, -422285?\n\"Answer: 9*z**2 - 70434*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -425 = -17*t - 357 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 3)*(-t + 2*t - 4*t)*(1 + 2*t - 1)*(1 + 0 + 1).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of t**6\/120 + t**5\/60 - t**4\/8 + t**3\/6 - 2*t**2. Let j be l(2). What is the highest common factor of 7 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 91 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**2*k**2 - 201*c**2 - 5414*k**2 wrt c.\nAnswer: -4*c*k**2 - 402*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(((t\/(((t*t\/(t*t**(-1)))\/t)\/t))\/t)\/t)*t*t*t)**(4\/17))**(-49)\/((t**6*t**(-4))\/(t**1*t*(t*t**(-6)\/t)\/t*t)) assuming t is positive.\nAnswer: t**(-1278\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/79566 and -95\/1602.\nAnswer: 238698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 131*n - 430. Let t be z(14). What is the highest common factor of t and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.974 + 12. Let v = t - -19.974. Let n = v - 25. Sort 0, 3, n.\nAnswer: n, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57616 and 784?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c**2 - 8*c**2 + 24*c**2.\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 5:25 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 152 = -4*w, -3*w - 22 - 36 = 2*l. Calculate the remainder when 45 is divided by (-30)\/4*l\/10.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35163612?\nAnswer: 2, 3, 11, 29599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**4 + 235*w**3 + 2710*w**2 + 7860*w + 6840.\nAnswer: -5*(w - 57)*(w + 2)**2*(w + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5 + (-1*(sqrt(77) + (sqrt(77) - (sqrt(77) + 1*sqrt(77)))) - sqrt(77))\/(sqrt(1331)*1) + 3)**2.\nAnswer: -1964\/121 - 16*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l\/(l\/l**(-1)))\/l*l)**(-14\/11))**2*(l\/(l*l**(-1)))**(-25)*l**(-3\/4)\/(l*l**5) assuming l is positive.\nAnswer: l**(-1509\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 26484099 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 15, y: 5}.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/11 + 3994*f**2\/11 + 437920*f\/11 + 12173952\/11.\nAnswer: (f + 56)**2*(f + 3882)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 5*s - 35 = 0, n = 4*s - 9 - 2. Solve 4*v + 1 = -n*h + 4, -v + 4*h + 6 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.1 - 1.1. What is the third biggest value in -0.3, n, -1\/8, -3\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 5*f - 5. Let y(c) = -1. Let z(g) = 4*g - 2. Let l(s) = 2*y(s) + z(s). Determine -5*d(k) + 6*l(k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 15*b**2 + 127*b + 2. Let o be j(6). Calculate the greatest common divisor of o and 168.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 7*z. Let w(a) = 4*a**2 + 4*a. Determine r(w(y)).\nAnswer: 28*y**2 + 28*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/((3\/(-5))\/(-1)). Suppose 0 = 2*l - h*m - 17, 3*l - 2*l - 16 = 4*m. Let n be (l\/(-14))\/(4\/(-4)). Which is the biggest value? (a) n (b) -0.1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/15 + ((-22)\/44)\/((-1)\/(-2)). What is the third biggest value in 4, 11, d, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + 72. Calculate the highest common divisor of 32 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 21 = 5*h - 0*d, -2*h + 2*d + 10 = 0. Suppose f + 2*f = 6. What is the third derivative of -5*y**f + 10*y**2 - 3*y**2 + h*y**4 wrt y?\nAnswer: 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a**2\/3 + 3577*a\/3 - 1188 = 0. Calculate a.\nAnswer: 1, 3564\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -1\/10*d**5 + 2\/3*d**4 - 10 + 2*d**2 - 5\/3*d**3 - 10*d. Let i(o) be the first derivative of l(o). Factor i(b).\nAnswer: -2*(b - 2)*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3 + 1233465*g**2 + 2466942*g.\nAnswer: -3*g*(g - 411157)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 12*m + 4. Let r(y) = y + 1. Let l(a) = 5*r(a) - x(a). Let h(i) = 6*i + 1. Let s be h(0). What is l(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010010200111 + -221220?\nAnswer: -1010011122101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47603 + -12445. Let m = f - 3686. Is (m\/(-70))\/((-2)\/10) + 3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m + 1 + 12*m + 0*m + 0 + 0 + 5*m + (-2 - 1 + 1)*(0*m + 2*m + 0*m) + 2*m + m - 4*m + (18 + 10 - 9)*(1 - 1 - 2*m) + 5*m - 7 + 7.\nAnswer: -25*m + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/((-337)\/(14491\/258))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of r**5\/20 + 7*r**4\/12 + r**3\/3 - 3*r**2\/2 - 2*r + 4. Determine a(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3 = 3. Suppose -w + 20 = t*w. Suppose -2*d - 66 = -4*d - 3*h, -w*d = 3*h - 165. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111110001111100 (base 2) in base 10?\nAnswer: 31868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*j**2 + 22340*j + 42000 = 0.\nAnswer: -300, -70\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 894823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*w + 2068 + 287 = -2582 + 427 for w.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 + 1396.07.\nAnswer: 1389.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -2*u**4\/13 + 1140*u**3\/13 + 585986*u**2\/13 + 44988*u = 0.\nAnswer: -326, -1, 0, 897","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 11 = 5*s. Suppose -59*x - s = -61*x. Let j be 2\/7 - (x - (-80)\/(-14)). Solve 0 = -7*b + j*b + 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-3)*-3 - -1. Let u(c) = -c - 7. Let l be u(-7). Suppose i*z - 4 = -l*z. Solve f = -z*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -22. Let b = f - -3. Let g(s) = -s + 2. Let k(a) = -6*a + 13. Give b*k(n) + 39*g(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**3 + 0*f + 0*f + (5*f - 2*f - f)*(-2*f**2 + f**2 + 3*f**2) + 2 + 4*f + f**3 - 7*f - 10.\nAnswer: 3*f**3 - 3*f - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8 and 171923?\nAnswer: 171931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 495 = -0*n + 20*n + 25*n for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1117.4447369 to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**5 + 21*z**4 + 135*z**3 + 239*z**2 - 72*z - 324.\nAnswer: (z - 1)*(z + 2)**2*(z + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/8)\/((4\/(-3))\/2)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22514 is divided by 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 8*z - 17. Let a(x) = -9*x. Let b be a(-1). Let k be q(b). Is (k + 1)\/(2\/(0 - 766)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 57 = 3*k - 4*d, -5*k - 4*d + 140 = 0. Calculate the least common multiple of k and 495.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -6, -12, 2 in increasing order.\nAnswer: -12, -6, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 272138*b - 4082039. Give r(15).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 37390000 to the nearest 1000000.\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 5\/4, -3, 4, -4, -2?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 20 - 9*n + 29*n)*(6 - 28 - 10).\nAnswer: -640*n - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3351 (base 11) to base 12\nAnswer: 2678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 + -51 + 7 - (-2 + 8 - 1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f**2 - 30*f + 20. Determine h(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 13 = h, -4*o = 9*h - 6*h + 29. What is the units digit of (-4 - o - -1)*146?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 16*r + 2. Let l(n) = -n**2 - 186*n - 1084. Let s be l(-6). Let w(v) = -47*v - 5. Determine s*w(c) - 11*t(c).\nAnswer: 12*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6*2150748.\nAnswer: 1290448.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, z: 1, s: 3, e: 8}. Give prob of sequence cse.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of s**10\/60480 - s**8\/13440 - 2*s**4\/3 + 8*s. Let y(x) be the third derivative of r(x). Find i, given that y(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40 - 39. Suppose 2*v - 157 = 4*u + 55, -2*v - 94 = 2*u. Calculate the common denominator of u*(d + (-35)\/33) and 59\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128 - 697 = 86*g + 121 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/((-55)\/(-8754)) + 206\/1133 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -605 divided by 11?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2393952?\nAnswer: 2, 3, 11, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-2 - -7) + 0 + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35487595.\nAnswer: 5, 11, 13, 49633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 436 and 432 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of p**6\/20 + p**5\/15 - 7*p**4\/12 + 2*p**3\/3 - 14*p**2. Solve x(t) = 0 for t.\nAnswer: -2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 8:55 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 20 + 5 - (4 + 17 + -13) - -5\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 1:13 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 59 or 15?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159362 is divided by 65.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 7*w**3 + 148*w**2 + 32*w + 491. Give d(-22).\nAnswer: -3117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t*t**(18\/11)\/t*t)\/t))\/(t*t**(-1\/12)*t)*(t\/(t*t*t*(t*t**(-4\/3)*t)\/t*t))**1)**(-23) assuming t is positive.\nAnswer: t**(15847\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 13115415 (base 6) to base 11\nAnswer: 274251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 32 (c) 0.1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -3\/4 and -3830311 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q - 8. Let i be n(-10). Suppose 7*x - 25 = i*x. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -j**5\/5 - 14*j**4\/3 + 62*j**3\/3 - 32*j**2 + 78*j + 15. Factor b(c).\nAnswer: -4*(c - 1)**2*(c + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2981315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**6 + 5*z**4 - 5*z**3 + 4*z**2 + 5. Let c(n) = -n**4 + n**3 - n**2 - 1. Let u(f) = -5*c(f) - x(f). What is the third derivative of u(l) wrt l?\nAnswer: 120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 533155.\nAnswer: 5, 7, 15233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of c**4\/4 + 10*c**3\/3 - 23*c**2. Let g be b(4). Let y = g + -26. What is the least common multiple of y and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -8*b - 18. Let t be a(4). Let u(k) = 117*k. Let p be u(1). Let r = p + t. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63975 and 110775?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 5*r - 15. Suppose 2*b = -0*b - 6. Let w = r + b. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 937811 to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.5 + -4.1. Let l = -0.11 + 0.11. Sort -0.4, l, m in descending order.\nAnswer: m, l, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c**2 + 8*c + 18. Let w be r(9). Let q = -288 + w. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 13 = 9081*f - 9086*f, -4*f + y = 22 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-1)*(9\/(-2) + 4). Let j be q + 4 - (15 + -16). Suppose 0 = 4*k - 12, k = j*o + 3*k - 574. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 8:00 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*(-1)\/2*2. Let k = 83.1 + -83. Which is smaller: b or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6251261497 rounded to the nearest one hundred thousand?\nAnswer: 6251300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + -1. Let n be (-1 - -33) + 4\/d. Suppose 0 = -5*t + 4 + 6, 3*t - n = -4*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2994 rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1391 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/2075 and -14\/13269791.\nAnswer: 331744775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -6 (b) 0.3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**4 + 3 - 2*u**2 + 115*u**3 - 117*u**3 - 2 to d*u**3 + m*u**4 + y*u + t*u**2 + p and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 + 25. Let a(s) = -2*s + 5 + 0*s + 3*s. Let v be a(l). Solve -2*c + 5 = -o, -5*o = -c - v*o + 15 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 202 = 2*t, -5*t = 2*o - 284 - 120. Suppose -130 = -4*i + o. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 3*s - 6 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -42.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3355294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1763 and 129.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 9955730.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 130 and 115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189 + 7 + 48 + 3 - z - 13 + 52.\nAnswer: -z - 92","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) -4\/7 (c) 110\/7 (d) 52\/3 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 10 = -3*s, -2698*p + 2699*p = 5*s - 5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and -1637176402.2?\nAnswer: 1637176406.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.55681022 + -5.50681. Let p = v - 0.05. What is p rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -7, 0 in descending order.\nAnswer: 19, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((4\/3)\/4)\/(2\/60) and (-1 - -1*6) + -1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -1. Let c(j) = -2*j - 2. Let z be 20\/6 - (-14)\/21. Suppose 35*x = 39*x - z. Let i(a) = -2*a**2 + 10*a + 8. Let h be i(6). Calculate h*p(f) + x*c(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u - 66 + 16 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/6)\/((-17)\/(-153)). What is the units digit of 86\/o + 24\/36?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 117 times -0.07\nAnswer: -8.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6\/23 + -81\/46. What is the second smallest value in m, -3\/5, -0.21, -1\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + t**2 - 3*t + 3. Let r be k(3). Does 4 divide 432\/r - (-4)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -409*s + 1 = -408*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**2 - 5*z + 3. Calculate the smallest common multiple of w(0) and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by 13.\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 140 - 136. Suppose 6 - 3 = -m. Sort f, -2, m.\nAnswer: m, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10111110 (base 2) in base 15?\nAnswer: ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 588*(-3 - (-14)\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*h - 4*u + 6 = -38*h, 0 = -4*h - 4*u + 12 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 9) in base 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -5*p + 29, -a + 2*p = -0*p + 9. Solve r = -a - 3 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 4*q**3 + 4*q**4 + 0*q**3 - 5*q**4 + 0 in the form n*q**4 + f*q**3 + m*q**2 + x + b*q and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -45*l**2 - 54 + 72 + 177*l**2 - 15 - 7*l. Let i(v) = -88*v**2 + 5*v - 2. What is -5*d(u) - 7*i(u)?\nAnswer: -44*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 965 + 640. Let b = n + 343. Calculate the remainder when 107 is divided by b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 462*f - 59602. Calculate h(129).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/15)\/((-2)\/10). Let t = -2 - n. Factor -q - 3*q**3 - q**4 + q**t + 2*q**3 + 2*q**3.\nAnswer: -q*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 13*f**3 - 5*f**2 + 61*f - 6. Is q(6) a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9255*a - 7392 = 9247*a. What are the prime factors of a?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1383 + 8828. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -8 - 3*(1 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6*(-3 + (-40)\/(-12)). Solve p*u = -4 - 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -11*k - 52. Let h(v) = -6*v**2 - 13*v + 9. Let q be h(k). Which is the smallest value? (a) 4 (b) 0 (c) q (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 563, 5, -1, 0.4.\nAnswer: -3, -1, 0.4, 5, 563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5086089 and 7?\nAnswer: 5086082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -15 - 1. Let k(l) = 4*l**2 + j*l + 2*l**2 - 4*l. Let f(s) = 2*s**2. What is f(k(x))?\nAnswer: 72*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 19*p**3 - p + 1. Let d(o) = -o**3 - 24*o**2 - 24*o - 22. Let s be d(-23). Calculate w(s).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -2.9. Let s = 0 - 5. Let r = -5\/22 + -14\/11. Which is the closest to 0? (a) r (b) s (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/((-7)\/(-6)*(-12)\/(-21)). Suppose 3*y - i*h - 84 = h, -4*h + 12 = 0. What is the highest common factor of 224 and y?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -650*z**2 + 7*z - 28. Let g(o) = 649*o**2 - 6*o + 24. What is -7*g(m) - 6*i(m)?\nAnswer: -643*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 824*b + 227 = 820*b, 31*b + 1638 = m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**4 + 4*z**4 - 6*z**2 + 0*z**4)*(z - z - 6*z + (0 + 2 + 0)*(0*z - 4*z + 2*z) + 3*z + z - 6*z).\nAnswer: -12*z**5 + 72*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + -2 + (3 - -2). Suppose -25 = -2*g - 8*w + 5*w, -p*g + 3*w = 0. Let f be 2\/g - 26\/(-10). Solve 2*q = -5*y - 6, 4*y + 0*q + f*q = -2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 4*j - 3*j)*(-4*j**2 + 0*j**2 + 3*j**2)*(-3 + 3 - 2*j).\nAnswer: 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 333374999 to the nearest integer?\nAnswer: 693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 (base 6) in base 12?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + 28. Is f\/2 - (-4)\/(-8) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/15 and (-7)\/(56\/(-3)) - 427\/(-120).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2 + 2 - 2*y + 0*y - 3. Let n be b(-1). Let a(k) = -k**2. Let f(w) = -3*w**2 + 4*w - 1. Let q(o) = n*f(o) - a(o). Factor q(s).\nAnswer: (2*s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -h**4\/3 - 40*h**3\/3 - 358*h**2\/3 + 280*h - 147 = 0.\nAnswer: -21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j**2 - 17*j + 117. Let h(u) = u**2 + 8*u - 58. Let w(y) = -5*h(y) - 2*k(y). Let z be w(4). Solve -5*x = -z + 43 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27858 = f - z, 0 = 5*f + z - 201706 + 62380. What is the ten thousands digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -99.23 - -100. Let o = l + -0.37. Let i = 0.27 - o. What is the second smallest value in -5, 1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 9) in base 3?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.89498 years in months?\nAnswer: 22.73976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of 0*s**3 + 7\/12*s**4 - 1\/20*s**5 - 7*s + 0 - 3\/2*s**2. Let y be w(7). Put -2, y, 5 in descending order.\nAnswer: 5, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c - 6. Let a be u(4). Let i = 6 - 4. Solve -z = a*z - 9, 4*b - 2 = i*z for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -231*w**3 - 2*w**2 + 407*w?\nAnswer: -1386*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 5*k - 9 = 0, 4*o = 10*k - 12*k - 6 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1262, 1275, 1298, 1331, 1374, 1427, 1490?\nAnswer: 1563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 595651?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/20)\/l**(-26))\/(l**(2\/13))**(-1\/27) assuming l is positive.\nAnswer: l**(182911\/7020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 8*p**2 - 3*p - 2. Let t(k) be the second derivative of k**4\/4 - k**3\/6 - k**2\/2 - 43*k. Calculate 4*n(r) - 11*t(r).\nAnswer: -r**2 - r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1)\/((-360)\/(-267)))\/((-189)\/252) and -40\/27.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**2*d**3 + 2*b**2 - b*d**3*o**3 - 15*b*d**2*o - b*d*o**3 - 22*d**4*o wrt d.\nAnswer: -6*b**2 - 6*b*o**3 - 528*d*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 1746.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53\/2 + 27. Is s at least as big as 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1609985 is divided by 72.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/6, 2\/3, -0.05?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*j**3 + 3\/4*j**5 - 9\/2*j**4 + 24 - 36*j + 12*j**2.\nAnswer: 3*(j - 2)**4*(j + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -49, -33, 9, 89, 219, 411, 677, 1029?\n\"Answer: 2*m**3 + m**2 - m - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -146 + 148. Solve -5*q = d - 8 - f, q = 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -5*i + 3*a - 26, 4*i + 2*a = -18 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2288272*h**3 + 703961*h**3 - 945088*h**3.\nAnswer: -2529399*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -23*g**2\/2 + g - 18. Give w(-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 12*x - 13. Let q(k) = 2*k. Determine p(q(t)).\nAnswer: 24*t - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 389765966?\nAnswer: 2, 61, 3194803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**5 + 10*m**4 - 247455*m**3 - 1143*m**2 + 1465*m - 7 wrt m?\nAnswer: 60*m**2 + 240*m - 1484730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**28*c*c*c)**(-1\/6))**(-16))**(-31))**(-1\/52) assuming c is positive.\nAnswer: c**(1922\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2205 and 1029.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1457427*f**2 - 11508864*f - 22720512 = 0.\nAnswer: -2752\/697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2*(sqrt(475) + sqrt(475) + sqrt(475)*-2 + sqrt(475)) - 2*sqrt(475)*-1)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 5*c**2 - 6*c + 1. Let o(h) = h**2 + 8*h + 6. Let z be o(-8). Let i be y(z). Suppose 0 = -2*x - i - 3. Is 0.2 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/15 + 4\/(-10). Suppose y - 3 = -5. Let u = y - -7. Solve 8*b - u*b = m for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 2*r**2 + 2\/3*r**3 - 2 + 2*r. What is the remainder when y(-5) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((0 + sqrt(144)\/sqrt(3) + sqrt(48))*-3)**2.\nAnswer: 1725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2 = -0*s. Let v = s + 13. Calculate the greatest common factor of 132 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 315 = v. Let w be 9\/(-36) - 98\/(-8). Suppose -h + 12 = k, -k = 2*k + w. Calculate the remainder when v is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -137.961 to 0 decimal places.\nAnswer: -138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 - 35.9999998. What is r rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -18 + 2*y + 4 - 3*y - 3. Let k = -16 - -16. Calculate x(k).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/3)\/((-50)\/(-300)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(3\/5)\/(m*m**(2\/11)*m)*m*m**(1\/12)*m*m**(-1\/3)*m*(m**(1\/4))**18\/(m**(-2\/29)\/(m\/((m*m\/m**(-2)*m)\/m))) assuming m is positive.\nAnswer: m**(17463\/6380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*j**3*q*u + 55*j**3*q + 44635*j**3 - j**2*q**2 - j**2*q + 5*q**2*u - 4*q**2 - 5814635*u + 1 wrt u?\nAnswer: 3*j**3*q + 5*q**2 - 5814635","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2502*n + 2501*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 3313558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -8321*h - 58268. Give j(-7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5443 divide 4809805248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -2 + 5 + (-22 - -28)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 55, 6, -5, 1 in decreasing order.\nAnswer: 55, 6, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 4\/3*j**6 + 0*j + 0*j**4 - 25\/3*j**3 - 8 + 0*j**2 + 0*j**5. What is the third derivative of s(v) wrt v?\nAnswer: 480*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318 a factor of 264347610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4113*w - 6150 wrt w.\nAnswer: 4113","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9581783963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 12:40 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -f**7\/735 - f**6\/420 + 3*f**5\/70 + 3*f**4\/28 - 88*f**2. Factor g(b).\nAnswer: -2*b*(b - 3)*(b + 1)*(b + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/4 (b) -2\/3 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*-4*(-8)\/((-672)\/6). Sort 0.158, -2, g in ascending order.\nAnswer: -2, g, 0.158","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -2, -203, 4 in descending order.\nAnswer: 4, -2, -46, -203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjkjttkj. Give prob of picking 2 k.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 8*j**2. Let r be u(8). Suppose -2*q + v - 19 = r, -3*q = -v - 13 + 39. Let l(k) = k**3 + 8*k**2 + 5*k + 1. Is l(q) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 1674*l + 46605. What is m(-28)?\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 12 = c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2590 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -129 + 279. Suppose 0*r - 5*r = s. Let y be (-20)\/r - 16\/(-3). Let d(u) = -u**2 + 8*u - 5. Give d(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-5)*10\/(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 50761855 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 433268 and 2282214?\nAnswer: 5038","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1825 - -1985. Is 8 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.012807926 to 5 decimal places.\nAnswer: 0.01281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tuug when four letters picked without replacement from uguuuttt.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 24*j + 204. What is the remainder when n(28) is divided by 83?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 8:09 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(80) + (0 + sqrt(80))**2)*5 + 4 + 6*-1*sqrt(245))*4.\nAnswer: -3184 - 328*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -40139 at most -40138?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 533*l + 2626*l + 106712 + 32284 = 0 for l.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 13*c**2 + 11*c + 16. Let v be i(12). Let p be (-8)\/(-14)*14\/v. Factor -2\/5*u**3 + 2\/5*u**p - 2\/5 + 2\/5*u.\nAnswer: -2*(u - 1)**2*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13225 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 242754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 23*w**2 + 20*w - 87. What is o(-24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 3*b = 15, -9*w + 3 = -6*w - 3*b for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*m + 5*f + 26, -4*m - 5*f = 7. Suppose -4*k - n = -7 - 6, 3*k - 16 = -2*n. Solve -8 = -m*x - k for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**4\/6 + 71476*w**3\/3 - 1429643*w**2\/6 - 548023*w - 285924 = 0.\nAnswer: -142962, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6 times 966507\nAnswer: 5799042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -0.3 (c) 1\/4 (d) -115\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 179, 156, 133, 110, 87?\n\"Answer: -23*i + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/9))**(1\/14)\/(((g\/(g*g**(-15)\/g))\/g)\/(g*g**1*g*g)) assuming g is positive.\nAnswer: g**(-1387\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + f + 54 = 0, 33*w - 36*w - 35 = -2*f for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.08, -0.4, 92?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 221967397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -443555860\/7 > -63365123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-2))\/(7\/84). Let c be s\/(-24) + 49\/4. Solve -4*k + 24 = p, c + 1 = 2*p + k for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/645 and 9\/96520.\nAnswer: 12451080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of l**6\/180 + l**5\/120 + 5*l**4\/3 - l**3\/6 - 3*l + 9. Let r(u) be the third derivative of n(u). What is r(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -4*r**5 + 248*r**4 + 276*r**3 - 1496*r**2 - 1040*r + 2016 = 0.\nAnswer: -2, 1, 2, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3 = -0*x. Suppose -5*j + 2 = -x*n, -2*j + 5 = 2*n + n. Let l be j + (-2018 - (5 + -2)). Round l to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215.1612 rounded to 1 decimal place?\nAnswer: 215.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + i + 12. Let o be q(4). Let z(n) = -n**3 - 8*n**2 - 8*n - 6. Let b be z(-7). Let g be b\/(-13) + 1 + -1. Are g and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -132*j - 661. What is c(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000041907526 to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22509 = -72*u + 114219. What is the remainder when u is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in -3, -2.55, 123.1?\nAnswer: -2.55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 b when four letters picked without replacement from {b: 3, l: 2, d: 13}.\nAnswer: 143\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-5) - 3\/(-10))*-8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + t - 1)*(-6 - 10 + 21).\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -378*c = -a - 376*c - 9, -40 = -a - 5*c for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -82 + 84.3. Let q = -3.3 + c. Which is bigger: q or -2.8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l + 8. Let v(w) be the third derivative of -w**4\/12 + 4*w**3\/3 + 4*w**2 + 5*w - 143. Give 3*g(d) - 4*v(d).\nAnswer: 5*d - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, e: 3, w: 2, q: 7, y: 1}. What is prob of picking 1 y, 2 q, and 1 w?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, s: 1, j: 1, b: 6, v: 3}. Give prob of picking 1 v and 3 b.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i - 13*i = 4*g, g - 4*i = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, a: 9}. What is prob of picking 4 a?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213 = -38*t + 395. What is the lowest common multiple of t and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ammr when four letters picked without replacement from rmmapqmpapm.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000011111 - -1101010111011?\nAnswer: 1110011011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 391695621 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.32 - -0.12. Let v = -0.19 + 12.19. Let u = 7 - v. Which is the biggest value? (a) 2 (b) u (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19670?\nAnswer: 2, 5, 7, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -50*j**3*q - 27907076*j**3 + 5*j*q + 27301*q wrt q.\nAnswer: -50*j**3 + 5*j + 27301","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 5*a - 17, 5 = 5*c - 0*c + 3*a. Suppose -p + 3 = -c*p. Which is greater: 21 or p?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 3 - (1 + -4 + 4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(1 - 3 + 3)*(0 + 0 + 16*p)*(-1 + 1 - 4*p).\nAnswer: -128*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 427*a**5*m - 4*a**2*m - 13*a**2 - 4*m wrt a.\nAnswer: 25620*a**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2242 or 0?\nAnswer: -0.2242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((1*2*sqrt(114))\/sqrt(6)*-4)**2.\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1199174443.\nAnswer: 3851, 311393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/4310 and 95\/134.\nAnswer: 288770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**14*z*z)\/(z\/((z\/(((z\/(z\/(z**(-12\/5)\/z)))\/z)\/z*z))\/z))*(z**(-2\/9)*z)\/z*z\/((z\/(z\/(z*(z**(2\/5)*z)\/z)))\/z) assuming z is positive.\nAnswer: z**(187\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*b**5 + 2588*b**4 - 15616*b**3 + 2880*b**2 = 0. What is b?\nAnswer: -36, 0, 4\/21, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -129*o**2 + 155*o + 1. Determine z(1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 5*t**4\/24 - 7*t**3\/6 - t**2 + 1. Let i(x) be the second derivative of j(x). Let q(l) = 2*l - 3. What is -6*i(w) + 14*q(w)?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4420090, 8840180, 13260270?\nAnswer: 17680360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 94821.33 rounded to the nearest one thousand?\nAnswer: 95000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (382 - 25*t**2 - 382)*(-20 + 45*t - 15 + 47 - 12).\nAnswer: -1125*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + ((-2 + sqrt(252))**2*4 - sqrt(252)) + sqrt(252) + 4 + (2*(-1*(sqrt(252) + sqrt(252)*-1) + sqrt(252)))**2)*-1*-5.\nAnswer: -450*sqrt(7) + 10180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2596 + -2597. Let q = -2.7 + 3. What is the smallest value in 1\/4, 2\/9, o, q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -927 - -941. Solve -10*b = -36 - x for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 8*t**2 + 8*t + 20. Let h be (-29)\/(-3) + 10\/(-15). What is the least common multiple of j(h) and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-8) + 42\/8. Suppose -328 = -0*t - 4*t. Let k = t - 47. What is the greatest common divisor of q and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -21*o - 1089. Let t be r(-52). Solve 0 = u + 5*h - 22, 2*h = t*u + 29 - 10 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: 1847.74 times -0.2\nAnswer: -369.548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hlhqxkxqxxqllxkxhwh. What is prob of picking 1 l and 1 x?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -13*t**2 + t - 1. Let z(h) = h**2 - h + 2. Let p(b) = -j(b) - z(b). Let u be p(-1). Solve -o - 10 = -2*k, 5*o + 33 = 3*k + u for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 1682*k - 878003. Calculate s(522).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1294252 is divided by 730.\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 155791375*g**4 - 118588679*g wrt g.\nAnswer: 1869496500*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 6:47 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-6) + (-1)\/(-1)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) 3\/2 (c) 86 (d) -91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3330, -26591, -89718, -212643, -415298, -717615, -1139526?\n\"Answer: -3322*o**3 - o**2 - 4*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 43? (a) 5 (b) 0.04 (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h + 14 - 14. Let r(d) = 3*d**2. What is s(r(a))?\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 3*x**2 + 4*x - 51. Calculate c(-4).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a**6*a)\/a)\/a)\/(a*a**(-1\/2)\/a*a)*a**(-2\/13)*a**(1\/6)\/a assuming a is positive.\nAnswer: a**(215\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7691363 - 200\nAnswer: -7691563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 4*b - 9*b + 21, -2 = -2*o - 2*b. Let d be ((-4)\/(-5))\/(o\/10). Is -3 at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 13) to base 16\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -982 divided by 7479\nAnswer: -982\/7479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8917 = -4*c + 10639. Is c a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1328 + 1328.3. Which is the closest to 10? (a) -1\/24 (b) -0.5 (c) f (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x\/(x**(-1)*x)))*x**(2\/17))**(-2\/25) assuming x is positive.\nAnswer: x**(-38\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 4*y = 14, i = 75*y - 76*y - 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -3 + (-11 - -18) - -9?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.204 (b) 0 (c) -1\/5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.03993, -4, 0, -1 in ascending order.\nAnswer: -4, -1, -0.03993, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -705, -702, -699?\nAnswer: -696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a micrometer in nanometers?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3782998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h + 3. Let x(v) = 4*v - 5. Let y(o) = -o**2 - 6*o + 55. Let z be y(5). Suppose 7*b - 5*b = -l + 17, -4*l + b + 41 = z. Determine l*d(m) + 6*x(m).\nAnswer: 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 z when four letters picked without replacement from {d: 3, z: 3, f: 1, m: 5, b: 1, g: 2}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 18, 57, -1\/7?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.77 - 11. Let b = x + 6.83. Suppose 2*a = -3*v + 18, 0*v - 3*v - 3 = -5*a. Sort b, 0.4, a in ascending order.\nAnswer: 0.4, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 170 and 48.\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1030?\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1057324, -1057317, -1057306, -1057291, -1057272?\nAnswer: -1057249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 75057 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (11 - 0) + -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*w - 4 = -25, h + 11 = -2*w. Let p = -4 - h. Solve -2*z = -3*z + p for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5726427, 22905718, 51537871, 91622886?\n\"Answer: 5726431*d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 7 - 1. Suppose 0 = -5*r - 1 + 26, -h*k + r = -67. Suppose 0 = c - 3*c + k. What is the greatest common divisor of 60 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 166 and 4482.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 20 - 36. Let a = 31 + j. What is the third derivative of -9*b**2 + 6*b**a + 13*b**3 - 13*b**2 - b**3 wrt b?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = h + 32, -14 = -4*t - h + 62. Let b = t - 37\/2. Are -12 and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**3*q**(-7\/4))\/((q*(q*q\/q**(-3\/13))\/q)\/(q*q*q**(-4\/19)\/q*q)))**(-3\/25) assuming q is positive.\nAnswer: q**(-2397\/24700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/((-884)\/1248 + 2\/6). Let k = 5.34 + -0.34. Which is the third biggest value? (a) 3 (b) k (c) -1\/2 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 35 = -7*v. Suppose 3*a + 1 = -5*x - 2, 35 = 5*a - v*x. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -23. What is the third derivative of 34*h**4 - 5*h**5 - 34*h**4 - j*h**2 wrt h?\nAnswer: -300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.23839 to 1 decimal place.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6062 in -3\/4, 0.1, 0.51?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 808203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -0.08, 72, -5\/7, -5?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 8, v: 3, x: 6}. Give prob of picking 2 a.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 0*o - 3*o)*((-2*o + 6*o - o)*(-1 + 0 + 2) + (-5*o + o + 2*o)*(25 - 56 + 9) - 12*o + 5*o - 8*o).\nAnswer: -96*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -39 - -3?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 3:47 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 8. What is the derivative of -11*t - 2 + 11*t + n*t**3 wrt t?\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.16 and -9.\nAnswer: -1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**4 - 308*j**3 - 1120*j**2 + 12800*j = 0 for j.\nAnswer: -8, 0, 5, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2\/7 - 8706*p - 60939\/7.\nAnswer: -3*(p + 1)*(p + 20313)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + -3 + sqrt(1900) + sqrt(1900)) + 2.\nAnswer: -19 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 12820 divided by -5\nAnswer: -2564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 - 28*t + 131 + 3*t**2 + 28*t - 2*t**2 to y + f*t**2 + r*t and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 25 times -160.679\nAnswer: -4016.975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2*sqrt(5616) + sqrt(5616))\/(sqrt(6)\/(sqrt(6)\/sqrt(3))).\nAnswer: 5 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-3 - (-4 + 3)) + (23 - 20).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -47, -50, -51, -50, -47, -42?\n\"Answer: v**2 - 6*v - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333 is divided by 67?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -84*p. Let b(n) = -4*n - 2*n + 0*n + 3*n. Determine o(b(s)).\nAnswer: 252*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*w = 15*w + 176. Calculate the remainder when 111 is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**2 - 6450*v + 58293 = 0.\nAnswer: -2159, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 576361.\nAnswer: 47, 12263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express l**3 - 3 + l + 48*l**2 + 0*l - 46*l**2 as q + m*l + b*l**3 + w*l**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-4)*(-4)\/2. Let m(a) = a**2. Let f(d) = -9*d**2 + 21. Let p(j) = -j**2 + 3. Let g(h) = f(h) - 6*p(h). What is x*g(v) + 6*m(v)?\nAnswer: 3*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 27*h + 7 = -26*h, v - 5*h + 14 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8160 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: What is prob of sequence gnpe when four letters picked without replacement from {g: 6, e: 2, p: 1, n: 2, t: 1}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -2*w - 3*o + 3, 5*o = -3*w - 6. Find the third derivative of -36*t**2 - 86*t**w - 107*t**3 + 163*t**3 wrt t.\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4053\/2 - 2066. Let v(d) = -d**3 + 7*d**2 - 3*d + 1. Let i be v(5). What is the common denominator of r and (3\/(-2))\/(i\/21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -473\/27 and -17 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 24 + 18. Let o(f) = -10 - 20*f + p + 0*f. Let q(g) = -11*g + 8. Let i(c) = 23*c - 17. Let x(m) = -4*i(m) - 9*q(m). What is -6*o(l) - 17*x(l)?\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-27) + (-75)\/(-27). Let f(c) = -6 + 2 + 2*c + 3. Let g be f(3). Solve -w = s*m - 3*w + 8, -g*m - 5*w = -20 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(2\/7))\/(m**(-3\/19)*m))**33 assuming m is positive.\nAnswer: m**(-561\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 4*c - 5*v, 2*c + 32 = -3*v. Let b be (6\/(-15))\/(1\/c). Suppose 0 = d - 5 - b. Is 9 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124636080 a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13615209 is divided by 800894?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -670 divided by 10482?\nAnswer: -335\/5241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*s - 0*t + t, 23 = -4*s + 5*t. Let j(z) = -3*z - 2. Give j(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of -2 - (1 + 343\/(-5))\/(5\/850)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 8*d**2 + d + 15. Let l be f(-8). Find the second derivative of -9*i**5 - 9*i**5 - 3*i - l*i + 3*i**5 wrt i.\nAnswer: -300*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/4 - (-7)\/14. Let r be (-1)\/(f*1\/96). Let a = r - -37. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*f + 12 = -5286*b + 5281*b, -3*b - 3*f + 15 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13.32 + -3.33. Let h = a - -74.21. Let n = h + -92. Round n to zero dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/9)\/(4\/9*(-333)\/(-592))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20 - -10)\/(1\/37). Let n = -138 - z. Is 9 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.77 - -6.73. Let g = -9.1 + p. What is the biggest value in 0.05, -0.2, g, 2\/11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -9*t**2 - 1306*t - 1437. Determine x(-144).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u + 16*u - 4160 = 0. Suppose 126*l - u = 116*l. Does 16 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5117 and 57749?\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 100111100100101110001100 (base 2) in base 7?\nAnswer: 154114660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2836 (base 9) to base 3.\nAnswer: 2221020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30991.\nAnswer: 17, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-22)\/55 + 12604\/10. Suppose -5*l - 3*z + z + q = 0, -4*l = -z - 1021. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7604822 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: Expand (12 - 3*m - 12)*(2*m + 0*m + 0*m)*(-2 - 3 + 7) + (0 - 2 - 1)*(10*m**2 - 4 + 4).\nAnswer: -42*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1560 + -764. Suppose 0 = 2*i + 4*l - 20, l + 49 = 4*i + 6*l. Suppose b - 141 = -2*q + i, -5*b + q + r = 0. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kp when two letters picked without replacement from ekmmpaeax.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23470 is divided by 1380.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000230177473 rounded to six dps?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of p**6\/24 + 52. Factor a(b).\nAnswer: b**5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 57*q - q**3 + 35*q - 95 - 92 + 187 to h*q + d*q**3 + a + k*q**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/9? (a) 5 (b) -6 (c) 13 (d) -4 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4341*v + 173. Let u(b) = 4340*b - 130. Give 4*u(w) + 3*x(w).\nAnswer: 4337*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39766392 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2886353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 668949873 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: Let p be 65\/(-15) + 5\/(-3) + 1. Which is the closest to -2? (a) -2\/3 (b) p (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1680 and 3432540?\nAnswer: 96111120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15*u + 14*u + 17*u)*(4*u**3 + 1 - u**2 - 2*u + 4*u**2 - 4*u**2) to q*u**3 + y*u**4 + j*u + l*u**2 + w and give l.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) 2\/9 (b) 3\/4 (c) -1009\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2743 + 2773. Suppose -1195 = -5*m - 0. Calculate the remainder when m is divided by h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a micrometer in nanometers?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 4*x = 1204. Let h = 174 + x. Let k(o) = o + 4. Let q be k(-3). Solve 0 = -h*p + 7 + q, 4*j - 5*p = -24 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27\/26 - 6\/13. Let s = 4.94501 + 0.05499. What is the closest to 1 in s, -4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 15 = o - 3, -5*w - 3*o + 26 = 0. Let a(l) = 6*l + 12. Let m be a(w). What is the highest common factor of m and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in -0.2, 28.3, -13, -17, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*d + 18. Let y(t) be the second derivative of -1\/10*t**5 - 8*t + 0 + 0*t**4 + 5\/3*t**3 + 0*t**d. What is the second derivative of y(g) wrt g?\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/35*8 - (-2 + (-48)\/(-21)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 40, 31, 18, 1, -20?\n\"Answer: -2*k**2 - 3*k + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g**2 + 17329980*g - 34659976 = 0. Calculate g.\nAnswer: -4332497, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -14*m**2 + 635*m - 781. Calculate n(44).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4429019 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -980, -7796, -26300, -62336, -121748?\n\"Answer: -974*w**3 + 2*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y + 4*w = 264, -5*y + y + 3*w = 139 + 140 - 110 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (-11 - -52) + -13.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**1)**12)**(18\/5)*(n**0)**(-44)\/((n**(-3)*n*n)\/n**4) assuming n is positive.\nAnswer: n**(673\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.08 < -227390\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*j*m**3 + 8950*j*m**2 - m**5 + 53199*m**3 - 3*m**2 - 4 wrt m?\nAnswer: 96*j - 60*m**2 + 319194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 - 6*x. Suppose 4*u - 7 = -4*y + 1, -3*y + 16 = 5*u. What is the least common multiple of 2 and z(u)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 6016527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-3\/4)\/l*((l*l**(-3\/11)*l*l)\/l)\/l*(l**0)**(-12))\/(((l*l**(2\/13)\/l*l)\/(l**(-2\/9)*l*l))\/(l\/l**(-3\/11)*l**(-7))) assuming l is positive.\nAnswer: l**(-2399\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5733 and 1029?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, b: 7}. What is prob of picking 1 r and 3 b?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2050631?\nAnswer: 11, 277, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w - 1. Let o be z(-3). Let i be (o\/(-6) + -1)*-6. Find the first derivative of 0 - 1 + 6 - i*s**2 - 2 wrt s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3c3b4 - 5?\nAnswer: -3c3b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 679.1432 millilitres?\nAnswer: 0.6791432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6911 is divided by 450?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - b**2 - b - 1086. Let x be d(0). Let q = -407 - x. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0541936kg to micrograms.\nAnswer: 54193600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37*v*y*z**3 + 4*v*y*z**2 + 32*v - z**3 wrt y.\nAnswer: -37*v*z**3 + 4*v*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q - 74. Let d(o) = -423*o - 417*o - 426*o + 1260*o. Calculate s(d(j)).\nAnswer: 6*j - 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6, 35, 64, 93?\n\"Answer: 29*r - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-61)\/2 + 2)*76\/6. Let n = 589 + l. Is 31 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**1*v)**(8\/3)\/(v**5)**44 assuming v is positive.\nAnswer: v**(-212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, e: 1, c: 4, f: 3}. Give prob of sequence fcff.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**3\/(u*u**(-3\/16)) assuming u is positive.\nAnswer: u**(35\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 4:31 PM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) 14 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 62.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 80 + 44*m + 56 + 8*m**2 - 44. Let y(s) = 3*s**2 + 14*s + 31. Let x(g) = -5*i(g) + 16*y(g). Is x(-5) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i - 4. Let s be x(3). Let t = s - -48. Suppose -3*p = 6, -2*l = -3*p - 2*p - 50. Calculate the highest common divisor of t and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 36*a - 283. Let j be r(8). Solve -j*b = -2*y - 15, -y - 2*b = -0*y - 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-344)\/(-88) + -13 + -11 + 20)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/21)*d*d**13*(d\/d**(-2\/9))\/d**18)**28 assuming d is positive.\nAnswer: d**(-724\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000634873 to seven dps.\nAnswer: 0.0006349","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -108*d**2 + 54*d. What is i(-2)?\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 21*a**3 - a**2 + 5*a - 2. Let l be z(-5). Let o = -836 - l. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 9*s**2 - 12*s + 32. Let m be x(8). Suppose -2*d - 4 = -8. Suppose -d*a = 3*c, -4*c + 0 + 1 = 3*a. Solve -a*q + 12 = -m for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6, 3, -3, -16 in increasing order.\nAnswer: -16, -3, 1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 963130, 1926263, 2889396?\nAnswer: 3852529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11847472 a multiple of 1264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 1:29 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mdk when three letters picked without replacement from {d: 1, m: 1, g: 5, k: 3}?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 34*p**2 + 7*p - 7. Let n(o) = -11*o**2 - 2*o + 2. Determine -2*g(b) - 7*n(b).\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -484, -975, -1466?\nAnswer: -1957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4067095097 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4073353809 to the power of 1\/3, to the nearest integer?\nAnswer: 1597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5790, 1, -31 in descending order.\nAnswer: 1, -1, -31, -5790","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 18b (base 14) to base 6\nAnswer: 1251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 - 1)\/(-7*(-12)\/7420). What is the greatest common divisor of a and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 448 by 112.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 490, 492, 492, 490, 486?\nAnswer: 480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**4 + 4 - 8*z**2 - z**4 - 4*z**4 + 4*z**4.\nAnswer: 4*(z - 1)**2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7)\/(-3) + (-2)\/(-3) + 34?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 6:58 PM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 10413 (base 5) to base 15\nAnswer: 33d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -75981 + 0.4.\nAnswer: -75980.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of b**3\/6 - 11*b**2\/2 - 4*b. Let z be u(-9). Let x be (z - 5)*6\/(-10). Solve 0 = 4*n - n + x for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**3 + 67*d**2 - 40*d + 205. What is r(33)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 4*a**2 + 8*a - 5. Let w be p(5). Let s = 65 - w. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 s when two letters picked without replacement from qjrqsjrjsspsjr?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -369 - -214. What are the prime factors of m\/(-5) - (-1)\/(3\/(-6))?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58.84694196374827 + 1010852001.15307383625173. Let t = j + -1010851970. Let l = -90 + t. Round l to six dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/3*((-416)\/(-13))\/32\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*n - 9*n + 4240. Let l = n - -536. Solve 10*b = l*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5378921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 2*c - 5*a + 351 = 0, -414 = 5*c + 2*a. Let i be (c\/(-147))\/((-4)\/(-14)). Solve 7 + i = -3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 937341.2 nanometers?\nAnswer: 937.3412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmms when four letters picked without replacement from {m: 5, s: 14}?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 2*r**2 + 2*r + 38. Calculate the remainder when g(0) is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.973 * -2.\nAnswer: 3.946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6085?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 30, -16, 1 in increasing order.\nAnswer: -16, -1, 1, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 969 is divided by 71.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 15) to base 4.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3809 - -121.5.\nAnswer: -3687.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/6 + ((-80)\/30)\/8?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(36)\/((1*sqrt(108))\/sqrt(9)).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1824, 0, -83, -5 in ascending order.\nAnswer: -83, -5, -4, 0, 1824","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 11*x**2 + 3. Let b(r) be the third derivative of r**7\/2520 - 52*r**5\/15 + 261*r**2. Let c(d) be the third derivative of b(d). What is y(c(n))?\nAnswer: 44*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*l = s - 26*l - 4826, 3*s = 4*l + 14472. Is s a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.4 and -2504.2?\nAnswer: 6010.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15.281878 + 4.\nAnswer: 19.281878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/24 + (-1)\/(-4))\/(-2)*5366478\/(-756811)?\nAnswer: 26\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mn when two letters picked without replacement from nmmnnmmm?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 311311000 + -3?\nAnswer: 311310442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pmasaaaxajaaja. Give prob of picking 2 j and 1 p.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 + 8*h**2 + 2*h**2 - 5*h**2.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/11 + 1979794*f**2\/11 - 31677088*f\/11 + 126708864\/11.\nAnswer: 2*(f - 8)**2*(f + 989913)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 596 = -4*o. Suppose 4*h = -17 + o. Suppose -4*l + 55 + h = 0. What is the smallest common multiple of 20 and l?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 644187912 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -52 in -1.8, -50, 3, 1, 1\/6?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -379419780 divided by 1\nAnswer: -379419780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 33*o**3 + 8 - 68*o**3 - 5*o**3 + 35*o**3 + 2*o. Let m(i) = 6*i**3 - 2*i - 9. Give -5*a(n) - 4*m(n).\nAnswer: n**3 - 2*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sgsb when four letters picked without replacement from {b: 2, s: 3, g: 1, n: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b, 1 y, and 1 e when four letters picked without replacement from {e: 3, b: 8, s: 3, y: 2}?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - i - 3*i + 196 = 0, 0 = 2*i - 8. What is the remainder when q is divided by ((-12)\/(-5))\/((-1)\/(-5))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -104211 and 1672?\nAnswer: 105883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4115994.3 rounded to the nearest one hundred thousand?\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of c**7\/945 - c**6\/540 - c**5\/270 + c**4\/108 - 27*c**2. Suppose h(u) = 0. What is u?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/35 - 46\/(-10). Solve 4*n + 3*m - 8 = 0, -3*n - r*m + 2 = -15 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 u when two letters picked without replacement from dzqobzub.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 2*z - 100 = -5*l, 0 = -4*z + 2*l + 110. Let k be (20\/z)\/((-2)\/(-5)). Calculate the highest common factor of k and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 6*p + 3. Let v be g(-4). Suppose -1085*d = -1081*d - 12. Sort -1, d, -4, v in decreasing order.\nAnswer: d, -1, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 60933*y**5 + 228471*y**2.\nAnswer: 3655980*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllaallaaaaaaaaa. Give prob of picking 4 l.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q + 8. Let n be l(6). Let y(m) = -17*m**3 - 19*m**2 - 62*m - 10. Let g(o) = 12*o**3 + 13*o**2 + 44*o + 7. Let x(s) = 7*g(s) + 5*y(s). Give x(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.3 (b) 1\/3 (c) -0.4 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101000011 + 101010101110?\nAnswer: 10101101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 410835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1837889, 1837891, 1837893, 1837895, 1837897, 1837899?\n\"Answer: 2*i + 1837887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, w: 4, d: 1, e: 2}. Give prob of picking 2 e.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**2 + 6*r**2 - 28*r + 27*r in the form g + p*r**2 + n*r and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -y**3\/3 - 7*y**2\/2 + 8*y - 1. Let t be -1*(0 - 1)*-6. Is 7 a factor of h(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1895 and 872079.\nAnswer: 4360395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3205*s - 28835. Calculate r(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0406 and 127?\nAnswer: -5.1562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 8068157\nAnswer: -2\/8068157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 12. Let o = b + -1. Suppose -42 = -o*s - 0*s. Does 10 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 10*r**2 + 8*r + 13. Let g be a(9). Suppose -10 = 5*v + 3*b, 5*b = -2*v - 2*v + 5. Sort 5, v, g in ascending order.\nAnswer: v, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 346 - 1429 = 0. Let t = -354 + f. Solve t - 32 = 2*k - 3*j, 5*j = -2*k + 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 7. Let n(h) = 6*h + 4. What is q(n(k))?\nAnswer: 36*k**2 + 48*k + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -695*i = -700*i. Factor -2\/7*j**5 + i - 18\/7*j + 4\/7*j**3 - 24\/7*j**2 + 8\/7*j**4.\nAnswer: -2*j*(j - 3)**2*(j + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, k: 9}. What is prob of picking 3 k?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -104, -166, -234, -308?\nAnswer: -388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(21)\/sqrt(3)*3.\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in grams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2))**(-1\/23))**(-6) assuming j is positive.\nAnswer: j**(-12\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 984 - 958 = 0. Suppose 5 + 10 = 5*p. Sort 5, q, 0, p.\nAnswer: 0, q, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2188 or -163?\nAnswer: -163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (70*f + 2*f + 69 + 63 + 7*f)*(2 + 1 - 4) to the form b + c*f and give c.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4*h**3 - 15*h**2 + 22*h + 12. Let y(x) = -4 - 2*x**2 - 7*x + x**3 + 7*x**2 + 0*x**2. Let b(t) = -2*n(t) - 7*y(t). Give b(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -17*r. Let p(x) = 17*x. Give v(p(m)).\nAnswer: -289*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/5 - (-24)\/10. Calculate the highest common divisor of t and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vxkk when four letters picked without replacement from {v: 3, m: 2, o: 2, x: 2, k: 2, d: 1}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -102\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a = -16696 - 1619. What is the remainder when a is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.21 + -0.5. Let s = o - 0.01. Suppose -4*v - 4 = 2*u, 3*v = -6 - 3. Put s, u, -4\/7 in decreasing order.\nAnswer: u, s, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5 (b) -0.2 (c) 630 (d) 2\/3 (e) 219 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222*d = -948051 - 5865351. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -1\/3, -0.13.\nAnswer: -3\/5, -1\/3, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3843627?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*i**4 + i**2*l**3 - 419*i*y + l**3 + 1902*l**2*y + 2*l - 55 wrt i.\nAnswer: -16*i**3 + 2*i*l**3 - 419*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 6*u**2 - 3*u. Suppose 0 = -5*n - 6*g + 4*g + 22, 5*n - 10 = -5*g. What is b(n)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3797460339 to 6 decimal places.\nAnswer: -0.379746","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-60)\/2*(7 + 175\/(-21)). Let z(p) = -p**2 - 2*p + 7. Let v be 16\/(-6) + 3\/(-9). Let t be z(v). What is the greatest common divisor of t and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 2:27 AM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 21 = 5*y - 6*f, 3*y + 5 = -2*f. Suppose -o - 23 = 5*t, -2*t - 3*o + 1 = -6*o. What is the second biggest value in y, t, 4\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1489 - 1489 + 258*w**3.\nAnswer: 258*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2691502*g**2 + 5383045*g**2 - 2691517*g**2.\nAnswer: 26*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.2 - 2.5. Let d = 185.4 - 185. What is the second biggest value in 20, d, a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.92 - -2.82. What is the nearest to 3.1 in 2, h, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/6*60\/2. Calculate the least common multiple of 21 and ((-25)\/w*3)\/(1\/12).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**2 + 8155*r + 8156 = 0.\nAnswer: -1, 8156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 5*h)*(2 - 3 - 2 + (0 - 2 + 4)*(-3 + 0 + 0)).\nAnswer: 45*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in thirteen sevenths of a week?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gse when three letters picked without replacement from {s: 1, e: 2, g: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w + 3*w - 4*w)*(-36 + 292 + 154) as q*w + d and give q.\nAnswer: -1230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 1470.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3389251875.\nAnswer: 3, 5, 227, 7963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9306565 millennia to months.\nAnswer: 11167.878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 325650 + -2500?\nAnswer: 323150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1242 and 354321.\nAnswer: 16298766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/10, 0.4, 22.4, 2\/97, -1, -59?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 5:49 AM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 17*w = 46, o + 25 - 23 = 3*w for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.033443 - 0?\nAnswer: 0.033443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3298 - -4727. What are the prime factors of o?\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22639539 and 0.5.\nAnswer: -11319769.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 936 and 3591848?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 6\/4 + (-36)\/24. Let m be 1*(o\/7 - (-4)\/14). Solve -2*v + 1 - 7 = m for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36039144 to the nearest integer?\nAnswer: 6003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61 + 18 + (76 - 72).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47 + 55. Put -2, a, 4 in increasing order.\nAnswer: -2, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 + 46997562*t + 184064236161987.\nAnswer: 3*(t + 7832927)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 - 48. Let k be (-204)\/(-10) - (3 + y\/(-5)). Suppose -4*r = k, -d - 24 = 4*r - 4. Solve d = 5*v + 2 - 12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -15\/115871?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.019 + -0.0229. What is u rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**2*f**2*q*t**2 - 5*d**2*f*t**3 + d**2*f*t**2 - 16*d**2*f + 2*d*f**2*q*t**2 + 458*f**2*q*t**3 + 5*f**2*q wrt t.\nAnswer: -30*d**2*f + 2748*f**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39786, -39784, -39782, -39780, -39778, -39776?\nAnswer: -39774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(468)\/(sqrt(9) + (sqrt(18)\/sqrt(2) - sqrt(9))))\/sqrt(2))\/(((1*sqrt(198))\/sqrt(11))\/(1*sqrt(900))).\nAnswer: -50*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 5*j + 5. Let i(w) = 4*w + 6. Let k(f) = 5*i(f) - 6*x(f). Let p(t) be the first derivative of -1\/3*t**3 + 0*t + 0*t**2 - 30. Calculate k(p(c)).\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z\/z**(1\/3))\/z)\/z)**(-3\/5)*(z\/z**(6\/29))\/z**14 assuming z is positive.\nAnswer: z**(-1886\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5*p - 175 = 0, 4*l + 3*p = 5*p - 110. Let y = -26 - l. Solve -1 = y*t + 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*s**4 - 2*s**3 + 2\/5*s**5 + 0*s + 0 - 6\/5*s**2.\nAnswer: 2*s**2*(s - 3)*(s + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 v, 1 a, and 1 h when four letters picked without replacement from {v: 3, a: 1, h: 5, d: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-1 - (0 - -3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence racu when four letters picked without replacement from uruumcrvaumm?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 412 = d + s, 3*d - 310 = s. Find the common denominator of -69\/70 and 4\/(d\/126 - 2) + 3.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6779765557 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 3*c - 0*c + 122, c = -3*a + 76. Let u(o) = o**3 - 6*o**2 + 5*o + 6. Let v be u(5). Solve -v*z - a = -z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 264 divide 256608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 22472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54809203?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/5, 0.9, 194, -0.1, 5, -1\/110?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/1)\/(-1))\/5*-1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 30*17\/(-357)*3*(-3)\/1395\nAnswer: 2\/217","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/33)\/((-1)\/186). Let q = y - -45. What is the third smallest value in -5, q, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 18854 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, u: 10, r: 4, q: 1, i: 1}. Give prob of sequence hq.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -195112, -195111, -195110, -195109?\n\"Answer: o - 195113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*x = 7*x. Let b(l) = 3*l + 39. Let w be b(-12). Solve w*a - 4*a = x for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/77? (a) 5 (b) -1.7 (c) -1 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*t - 8*t = 145 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -91 + (-2 + 0)\/(6\/(-9)). Let x = l - -85. Let h be (-2)\/(-8)*x + 129\/12. Calculate the greatest common divisor of h and 60.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**3 - 6*w**2 + 6*w**2)*(-676 - 107 + 299 - 642 - 612).\nAnswer: 6952*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 27552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -7*w - 9*w - 14*w - 6 + 8*w. Let d be f(4). Round d to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 16 = 3*r. Let h be 26*r\/(4 - -4). Suppose -h*i + 68 = -11*i. Is 17 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 7 + 6*d)*(2795 + 592*d + 107*d - 2795 + 882*d) to the form z*d + n + f*d**2 and give f.\nAnswer: 9486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 4*k = -5, -4*s + 11453*k - 11449*k = -8 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -199*o - 98*o - 240*o - 416*o to w + z*o and give z.\nAnswer: -953","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-6))\/(91\/(-14) + 6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1368144 and 0.4.\nAnswer: -547257.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50324343 (base 7) to base 3.\nAnswer: -21212002022200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4035 - 4004 - (-1 - (1 - 19))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/1736847 and 19\/99.\nAnswer: 19105317","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1)**(1\/7)\/(n**1*n**6\/n) assuming n is positive.\nAnswer: n**(-41\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61.1 - 59. Let o = d + 25.9. Let n = 28.42 - o. What is n rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yl when two letters picked without replacement from {y: 1, l: 2, t: 10, i: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.37411? (a) 14 (b) 7\/5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - s + (1 - 1 + 3*s)*(6 - 7 + 5) + (-3 + 6 - 2 - 1 + 0 - 1 + (-4 - 1 + 0)*(-7 + 5 - 3))*(0 - s + 0).\nAnswer: -13*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-two fifths of a century?\nAnswer: 7680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 409.7 and -111842.9?\nAnswer: 112252.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjvki. What is prob of picking 1 j and 1 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 718*b + 12836702 + 19373138 = 798*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 24 = 2*j, -4*r + 0*r - 12 = 0. Let w(p) = 427779*p**2 - 8*p + 4. Let q be w(j). Round q to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + (-3 - -4))*-27. Let c = y - -59. Does 20 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4775 + 9554 + 4648*q - 4779)*(9 + 7*q - 9).\nAnswer: 32536*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b6 + 2a?\nAnswer: -8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/(-44))\/(1*(-18)\/16).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6688 and 209?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - 9)*36\/(-10). Let m(i) = -24*i - 22*i - s*i - 4*i. Let u(d) be the second derivative of -d**3\/6 - 7*d + 825. Determine u(m(j)).\nAnswer: 68*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365 is divided by 47?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -514910 - 1216*l**2 + 514910. Let d(m) = -5*m. What is k(d(w))?\nAnswer: -30400*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 734 - 727.54. What is a rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -186 + 2*l + 186. Let p(u) be the third derivative of u**4\/12 - 5*u**2. Determine n(p(b)).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of 0 + 5\/24*o**4 - 234*o**2 - 1\/60*o**5 + 5\/6*o**3 + 0*o. Let b = 1 - -6. What is r(b)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.151 and 0.31681?\nAnswer: -0.04783831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 7*g**2 - 9*g + 18. What is the tens digit of d(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -28*l**4 + 9009580*l**3 + 11583784*l**2 + 2574176*l = 0?\nAnswer: -1, -2\/7, 0, 321772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 5*v - 3, 0 = 98*g - 104*g + 5*v - 39. Let q(x) = -x**2 + 5*x + 2. Let n(y) = 4*y + 1. Determine g*q(r) + 5*n(r).\nAnswer: 4*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x = -11*x + 39*l - 121, 187*l = 2*x + 183*l + 2 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from rrrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u - 1. Let o(g) = 19*g + 30. Calculate -6*c(f) - o(f).\nAnswer: -7*f - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(3\/7))*m**(-4\/11)*m)\/(m**(-1\/4)\/m)**(-1\/19) assuming m is positive.\nAnswer: m**(831\/5852)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 3*r - p + 175, -r = 5*p - 35. Suppose -n + 3*n = r. Let m = n + -10. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 161447485 to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1019 - -1127. What is the least common multiple of 180 and j?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + m + 3*m + (-1 + 0 - 1)*(-4*m + 5*m - 2*m) + (1 - 1 + m)*(-9 + 3 - 40))*(-7 - 20*m + 7).\nAnswer: 840*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -18996, -38078, -57160?\n\"Answer: -19082*w + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 10*g + 0 + (-6 + 5 - 6)*(0*g + 3*g + 2*g)*(3 - 4 + 3).\nAnswer: -80*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -0.01, 277 in decreasing order.\nAnswer: 277, -0.01, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 9:54 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2888453 is divided by 545?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 399\/88, -5, 2\/7, -0.5?\nAnswer: 399\/88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3\/649, -1, -6, -2?\nAnswer: 3\/649","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2019 + 0.21411. What is x rounded to three dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a hour in minutes?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51 + 151\/3. What is the closest to -1 in -0.5, z, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74712 is divided by 36829?\nAnswer: 1054","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-3)*(-18)\/3. Suppose -13 = -3*q + 2*v + 3, -2*q = -d*v - 16. Let b(z) = z**2 - 5*z + 4. Determine b(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*m + 14 = -101*m. Is 2 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, x: 1, y: 1, q: 1, d: 1}. What is prob of picking 1 d and 1 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 28*y**3 - 2*y**2 + 5*y + 2. Let c be i(-3). Let z = -442 - c. List the prime factors of z.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-30)*-30)\/(-15*9*(-11)\/44253).\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**6 + 17*b**5 + 1184*b**4 - 3326*b**2 + 5 wrt b?\nAnswer: 240*b**3 + 1020*b**2 + 28416*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1090552961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 22388 (base 11) to base 5\nAnswer: 2014103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjsj when four letters picked without replacement from {w: 5, s: 1, j: 3, m: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -35924?\nAnswer: -3\/35924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3 + sqrt(176) + sqrt(176)*-2)*-1 + -5 - -1*2*sqrt(176)*2*5) + 1)**2.\nAnswer: -1176*sqrt(11) + 77665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1109, 1543, 2259, 3251, 4513, 6039?\nAnswer: 7823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12430 + -4410?\nAnswer: -22340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 0, -2*m + 2 = z + 2*m. Calculate the common denominator of 370*((-49)\/(-48) - 1) - z and -4\/21.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1224404*y**4 - 8*y**3 - 93*y**2 + 4*y + 30 wrt y.\nAnswer: 29385696*y - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 93 + -97. Let y(f) = -10*f - 39. Let t be y(v). What is the nearest to -1 in -5, -0.4, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/4128)\/(3 - (-297)\/(-100)). Let h = o + -1\/12. Suppose -3 + 0 = 3*y. Which is greater: h or y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -156 - -14002616?\nAnswer: 14002430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, h: 4, z: 1, s: 4, c: 3, m: 6}. Give prob of picking 1 z, 1 c, and 2 h.\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17354732 or 17354731?\nAnswer: 17354731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 11:09 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/8 - 64349685*x + 2760587973066150.\nAnswer: 3*(x - 85799580)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, z: 2}. What is prob of sequence iizi?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - (9 - 22) - 2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.33 - 0.22. Let t = -0.01 + f. Let y = 314\/3 - 106. What is the biggest value in t, y, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 - 61 - (4 + (6 - 23))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -15 + 454 - (-24)\/4.\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13902309 and 27813.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.24043, -0.4, 2\/9, 0.1 in increasing order.\nAnswer: -0.4, 0.1, 2\/9, 0.24043","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 2*m. Let v = m - -9. Solve 4*h - 5*s - 27 = 0, -4*h = 2*s - s - v for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -2*o - 38, 4*o + 5 = 1. Let d be -3*(-2 + 18582\/l). Suppose -d = -0*z - 5*z. What is z rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b90 + 4976?\nAnswer: 5836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-196))\/(((-2)\/(-124))\/((-161)\/(-46)))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*t + 276 = -186 - 63. Solve 0 = -12*b + 11*b + t for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2949 = -3*r, 2*r - 2046 = 4*h - 80. Let n = -979 + r. Let s be (6\/(-9))\/(2\/(-6)). Sort n, 3, s.\nAnswer: s, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -468581246, -468581243, -468581240, -468581237?\n\"Answer: 3*s - 468581249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + (-7 + 3)\/1. Let l = -5 - r. Suppose -3*y + 3 = -2*a - l, -5*y + 30 = 5*a. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 110 and 4455.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1339 divided by 5?\nAnswer: -1339\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 12*u - 7*u. Let g = -0.2 + 1.2. Which is the third smallest value? (a) g (b) u (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-65)\/26)\/(25\/(-10)). Sort 13, p, -62 in decreasing order.\nAnswer: 13, p, -62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1730195 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -85 - 81 + 17*f + 237 - 76 in the form i*f + k and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 12*u + 7*u - 114 = 0. Let n = -2 + 1. Which is the smallest value? (a) u (b) -0.2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*z + 47, -3*z = -2*f - 102 + 12. What is the remainder when 305 is divided by z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 4*i - 168. Suppose -2*o - 16 = -6*o + 4*w, 4*w - 4 = -o. Calculate the greatest common factor of i and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/330 and 107\/132.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4*(-3*-2*sqrt(1377) + -5))**2.\nAnswer: -8640*sqrt(17) + 793552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 78 - 216 = 0. Suppose 126 = 13*s - 108. What is the remainder when v is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3\/(9\/3034))\/(418\/1881)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 50 - 39 + 35*t - 36 + 67.\nAnswer: 35*t - 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6157 times 6607\nAnswer: 40679299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2202120022020 (base 3) to base 5\nAnswer: 333431244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.492213 kilometers in centimeters?\nAnswer: 649221.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 15 = -0, -2*q + 1 = y for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**2 - 3*f**2 - f**3 + (-f + 6*f + f)*(f**2 + 0*f**2 + f**2) + 6*f**3 - 2*f**3 + 3*f**3.\nAnswer: 18*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -1\/4, -194\/29, -644?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1401673 (base 9) to base 2\nAnswer: 10111011101110010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 13 = -q, 0*q + 11 = -3*q + a for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40348 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (-52 + 7)\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 take away -3?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 22 (b) 0.2 (c) 0.15 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-128)\/(-28) - 18\/(-42). What is the second derivative of r*a**5 - 12*a**5 + 10*a + 6*a**5 wrt a?\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(171) + -2)**2 - (sqrt(38) - (sqrt(38) - sqrt(152)\/sqrt(4)))\/sqrt(2)) - (-2*sqrt(133)*-1)\/((sqrt(7) - 2*sqrt(847)) + sqrt(7)).\nAnswer: -129*sqrt(19)\/10 + 174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -777428 (base 9) to base 13.\nAnswer: -1336ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15\/3*(-4)\/(-10). Suppose -b*i + 8 + 8 = 0. List the prime factors of (-12)\/i*(-124)\/6.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 2*r**2 - 2*r + 2. Suppose 3*m - 4*z + 22 = 53, -2*m + 5*z = -30. Suppose m*u = 3*p + 6, 8 = -4*p - u - 2*u. Determine c(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05*1.6\nAnswer: 0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -144088, -288179, -432270?\n\"Answer: -144091*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**11\/q**(-14\/9))**(-40\/7) assuming q is positive.\nAnswer: q**(-4520\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2. Let b be -2*3\/6*-2. Suppose b + 1 = -k. Give v(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 - 24. Suppose 5*y - s - 3 + 19 = 0, 4*s = 2*y + q. Put -5, 5, y in ascending order.\nAnswer: -5, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 5*l**2 - 2*l - 7. Let i be -3 - (0 + 0 - 1) - -5. Let n be v(i). Solve -r - 17 = -2*r - 4*k, n*r = -4*k + 21 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 317 - 314. Let t(k) = 6*k - 4. Let a(w) = -7*w + 3. Let m(o) = -3*a(o) - 2*t(o). What are the prime factors of m(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 1311268?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 141*x**3 + 120*x.\nAnswer: 846*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 3*m + 296 = 0. Let n = m + -26. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 + 161553*t - 161452*t - 10 to o + j*t and give o.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198) + 1*sqrt(198))*-4 + sqrt(198))\/(sqrt(11)*-2*6) + -1 + (-1*sqrt(288) + 2)**2.\nAnswer: -185*sqrt(2)\/4 + 291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + w - 357, 21*i - 22*i - 130 = -4*w. Let c = -2466 + 27166\/11. Calculate the common denominator of c and (105\/48 + -2)\/((-3)\/i).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 3 + 1525*u - 1513*u)*(-2 + 2 - u**2) in the form r*u + z*u**3 + s*u**2 + q and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1219, -2441, -3661, -4879, -6095, -7309?\n\"Answer: k**2 - 1225*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1230 - -2396. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**4 + 4*q**4 + 0*q**4)*(-2*q - 4*q - 16*q - 9*q).\nAnswer: -93*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 4*m - 20, -3*m - 7 = -4*n - 0*n for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2810, -5620, -8430, -11240, -14050, -16860?\nAnswer: -19670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/185670 and 109\/80.\nAnswer: 1485360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 8 = -5*h. Let s be (1 - 4\/(-6)) + (-32)\/48. Sort h, s, 0 in ascending order.\nAnswer: 0, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q**3 + 26*q**2 + 20*q + 12. Let v(h) = h**3 + 9*h**2 + 7*h + 4. Let t(i) = i - 4. Let o be t(-7). Let s(l) = o*v(l) + 4*g(l). Give s(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17 and 0.1156?\nAnswer: -1.9652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4798 + 4796. Which is the closest to 0? (a) v (b) -21 (c) 3\/8 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.419 - -0.581. Which is the closest to -1\/3? (a) -5 (b) 21 (c) 1\/2 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3\/3 + 25794040*h**2\/3 - 41583126455428*h\/3 - 166333743937936.\nAnswer: -4*(h - 3224261)**2*(h + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4483532 - 0.2?\nAnswer: -4483532.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9 - 1)*8\/16. Suppose -c*j + 2*j = 0. Suppose j = 22*a - 18*a - 232. What are the prime factors of a?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -71 - 79 + 362 - 135 - 77 + 21*t. Let k(b) = 5. Let n(u) = u + 35. Let w(q) = 35*k(q) - 5*n(q). What is p(w(d))?\nAnswer: -105*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -a3 (base 13) to base 14\nAnswer: -97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -55.1 in -2, -1, -4, -3\/469, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*d - 3. What is the third derivative of 36*t**d - 87*t**4 - 91*t**4 + 21*t**6 + 178*t**4 wrt t?\nAnswer: 2520*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 10*j = -26. Let o = -16 + j. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10207170 and 18?\nAnswer: 10207170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -154?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, z: 2, m: 1, s: 3, p: 2}. What is prob of sequence rs?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-210)*-5)\/(18\/(-21)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/7))**(-11\/4)\/(((p\/((p\/(p**(-3\/5)*p))\/p))\/p)\/p**(-35)) assuming p is positive.\nAnswer: p**(-2423\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -10*p + 5 + 5. Let 0*q - 4*q**p + 4\/3*q**3 + 0 = 0. What is q?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 11:32 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + -21)*9\/(-12). Suppose n*g + 180 = 20*g. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86323941653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -q**7\/5040 + q**5\/15 + q**2. Let h(b) be the third derivative of s(b). Let k(a) = -8*a + 235 - 235. What is h(k(w))?\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29993 - -11376. Let t = -18617.12809 - f. Let c = -0.13 - t. What is c rounded to four decimal places?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 5*y + 20, -2*q + 6*y - 3*y + 11 = 0. Let x be 2\/(-5) - (7436\/(-65))\/26. Solve 4*t + 5*j - 5 + q = 0, x*j = -3*t + 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 23*u**2 - 4*u - 3. Let v be ((-1)\/(-2))\/(1\/(-2)). What are the prime factors of f(v)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 1. Let j(p) = -14*p - 2. Let a(q) = j(q) - 5*r(q). Suppose -20 = 2*m - 0*m + 2*g, -m = -g + 2. Is a(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 6. What is the second derivative of 2*f**4 - 2*f**4 - 2*f - i*f**4 wrt f?\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3 = -3*j - 1, 3*j + 10 = 5*n. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -12 (b) 0 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 20 = 3*w. Let i(f) = f**2 - 8*f + 1. Let y be i(8). Suppose y = 3*m - 2*s, m + 4*s - 28 = -3*m. Which is the closest to 0.1? (a) 1 (b) w (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9740\/(-25))\/(((-160)\/(-50))\/(-4)). Solve -m*f + 477*f - 40 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**2\/6 - 62013773*o\/3 - 3845708041695529\/6 = 0. What is o?\nAnswer: -62013773","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 66130, 4.\nAnswer: -21, 4, 66130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(-1)\/12*-3. Suppose -3*d - 3*g = 15, -8 + 4 = 5*d - 2*g. Which is the nearest to 1? (a) d (b) -9 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3854)\/462 + -7 + -15*(-8 + 7) and -111\/88?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -45452504 - 4?\nAnswer: -45452512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -l - 72, w + 0 = 5*l - 18. Is -0.5 not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.075195 rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 462, 886, 1310, 1734?\n\"Answer: 424*g + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5112000 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2545224 is divided by 41051.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 255937?\nAnswer: 255937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-1)\/(((-72)\/30)\/(-4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 324 and 243.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -17, -5 in decreasing order.\nAnswer: 3, -1, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16 - -27?\nAnswer: 3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.011 times 3.4\nAnswer: -0.0374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15104225 - 1?\nAnswer: 15104224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2926 divided by 38\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 56 + 24 = -2*h, h = -3*r + 19 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -8*j + 10. Let n be (2 - (-4)\/j)*1. Suppose -r = -0*r - 2*y - 16, n*r - y - 64 = 0. Is 8 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7195*f + 7988*f - 91988 = 0 for f.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 6*c**2 - 10*c - 5. Let s be t(-5). Let i = -1 + 13. Let d be i\/20 - 6\/10. Solve -s = -d*n - 5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -196966, -197009, -197126, -197353, -197726, -198281?\n\"Answer: -6*w**3 - w**2 + 2*w - 196961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10876016 minus -2?\nAnswer: 10876018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 4 = -p. Let u be (-1 - (-35)\/45) + (-104)\/18. Let f be (-1 - 15\/u)*2. Solve 4*i + j = 26 - 1, -5 = f*i - p*j for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 9:48 AM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2747703682 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -31206655?\nAnswer: 31206652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -66 + 86. Let k(f) = f**2 - 4*f + 40. Let c be k(d). Suppose c = -34*z + 42*z. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203417 - 12*y + 0*y - 12*y + 3*y.\nAnswer: -21*y + 203417","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-12))\/((-3)\/(-4)). Let h = -0.02 + -0.38. Which is the nearest to -2\/7? (a) h (b) -1\/2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 645*a = 644*a + 18229. Suppose -34*c = -a - 13051. List the prime factors of c.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -8*g**2. Let i be 3 - 1*2\/(-2). Let w be 12\/7 - i\/(-14). Let t(y) = y - 5*y + y**w + 4*y. Give t(c(l)).\nAnswer: 64*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1042849 weeks in nanoseconds?\nAnswer: 63071507520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - -61 - -3*1\/1. Let t = k - 66. Let a(f) = t*f**2 + f**2 + 4*f**2 - 8*f**2. Let b(h) = 13*h**2. Calculate a(b(o)).\nAnswer: -507*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 8 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1 - 34 + 6 + 27 - 2490*j**2 + 2 + 2656*j**3 wrt j.\nAnswer: 15936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.38 and 619.\nAnswer: 235.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -191 + 191.00022. Round g to five dps.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1119 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 295 and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13392000 rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26131.\nAnswer: 7, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15777 to the power of 1\/2, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06*-123.\nAnswer: -7.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-45)\/(-36))\/(-5))\/(9\/96).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -2.147\nAnswer: 4.294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4390510 rounded to the nearest one hundred thousand?\nAnswer: -4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6272.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2394*n + 8 = -2390*n, 0 = 4*u - 3*n + 26 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 22 = 2*y. Let u(f) = -7*f**2 - 6*f + 3. Let q be u(-1). Sort y, -1, q in descending order.\nAnswer: q, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 18083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 155 + -70. Let y = 85.4 - f. Let j = -3 - -3.2. Which is the closest to j? (a) y (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + -5 - 7) + -2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 500 and 31375.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4*-7)\/((-2)\/4). Let j = t + -115\/2. Which is smaller: -2 or j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2092, -2228, -2466, -2830, -3344, -4032, -4918?\nAnswer: -6026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 7*z. Let u(x) = 11*x. Let h(c) = 8*s(c) - 5*u(c). Let g(o) be the first derivative of -22*o**3 + 563. Determine g(h(k)).\nAnswer: -66*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/((-9)\/6 - -2). Suppose -2*a + r = 3*j, -3*a + 3 = 5*j - 16. Suppose -p = j*p - 45. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 80.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(99) - sqrt(99)*1 - sqrt(99)) + 4 + ((sqrt(11)*-2*1 + -5)*4)**2.\nAnswer: 317*sqrt(11) + 1105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -474 - -874. Let x = 399.998656 - h. What is x rounded to four dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) 0.08 (c) 0.06 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30611 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46395 is divided by 2577?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t. Let z(m) = -3*m**2 - 4*m. Let u(f) = -4*g(f) + z(f). Let d(i) = i + 4*i - 4*i. What is u(d(a))?\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 11 + 13 + -20 + 12?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 148165, 148725, 149651, 150937, 152577, 154565, 156895, 159561?\n\"Answer: -h**3 + 189*h**2 + 147977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36214 by -2.\nAnswer: -18107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*-2*2\/(-510)*(-8)\/160*-30?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 1582?\nAnswer: -157c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2907)\/(-34))\/(-19))\/(-21)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 32.12 and 8258.119.\nAnswer: 8290.239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-8)\/k*k**(-5))\/(k**2)**(-7) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/424 and 46\/583?\nAnswer: 4664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 8 = 3*g - 7, -4*g + 20 = -2*s. Suppose -2*y + 141 = g*f, -2*f = -f - 1. Does 17 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -759, -752, -741, -726, -707?\n\"Answer: 2*h**2 + h - 762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/6)\/(5\/3). Let q = 5.7 - 5.61. Is q != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*c**3 - 13*c**3 + 5*c**3 + 451.\nAnswer: c**3 + 451","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 39855 + a6?\nAnswer: 398fb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11319624, 22639250, 33958876, 45278502, 56598128, 67917754?\n\"Answer: 11319626*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/3 (b) -1809 (c) 2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 640243 is divided by 3783.\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -8. Round v to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.12 (b) -1 (c) 0 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/35 + 523\/7. Let h = d - 62. What is the remainder when 35 is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 d when two letters picked without replacement from {d: 1, a: 2, x: 1, t: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-2)\/15*9*60\/54)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - ((-7 - -8) + 2)) + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-22 + 2)*(-18)\/45. Solve u = -5*q - 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a + 5. Let f be m(8). Let d = -16 + f. Suppose -80 = -d*o + 40. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 2.616\nAnswer: 0.5232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -501 (b) 0 (c) 132 (d) 2\/215\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1769*v - 1921*v - 1793*v + 5270*v.\nAnswer: -213*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 times -270?\nAnswer: -56970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 13*j**4 + 2*j**3 + 2*j**2 + 2*j + 220. Let b(q) = -q**3 - q**2 - q + 2. Let l(s) = -2*b(s) - w(s). Differentiate l(t) wrt t.\nAnswer: -52*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 6610*i**2 + 12648*i + 12143. What is the first derivative of x(v) wrt v?\nAnswer: 13220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 7*t - 1. Let r = 446 + -444. Let o(c) = -5*c + 11. Let j be o(r). Calculate f(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, k: 1, j: 1, p: 1, v: 1, y: 2}. What is prob of sequence yvp?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 + -11?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -237 divided by 726?\nAnswer: -79\/242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 3.2, -1\/5, 0.5, -3.9?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 9*s - 9 - 2*s**2 - 4*s + 9*s. What is the remainder when b(5) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2))**(-1\/38)*(b*b*b**(-1\/4))\/b**(-12\/11) assuming b is positive.\nAnswer: b**(2419\/836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*c + 24*c + 2*w + 336 - 148 = 2*c, -3*c - 2*w - 28 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*8\/150 + (-7)\/(175\/2). What is the nearest to -1\/2 in h, -1, -9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + 5 + (-1*sqrt(572))\/sqrt(11)).\nAnswer: -6 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -590 divided by 59?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -13 - (53 - 30 - (-2 + -1))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 132502400?\nAnswer: -132502405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*n - 1. Solve 4 = -d - d, 4*a + n = -2*d for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b**2. Let x(t) = -5467 + 364*t - 75*t + 5467. What is x(y(r))?\nAnswer: -1156*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/3)*c\/(c*c**(-1\/6)*c))\/(c**(-1\/2)*((c\/((c**0\/c)\/c))\/c)\/c))\/(c\/((c\/c**(-6))\/c)*c*c**(1\/9))**(-3\/2) assuming c is positive.\nAnswer: c**(-41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33434 - 33430. Suppose 1\/2*x**5 - x**3 + 2*x**2 - 1 - x**v + 1\/2*x = 0. What is x?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-90608)\/(-10) + 2\/10. Suppose -2*t + 10939 + g = 0. What is t rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 200 and 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*11\/(1386\/72).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36574 is divided by 275.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 17*g**2 - 62*g - 976. Let l be k(-17). Solve 0 = -68*i + 55*i - l for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 521939?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (58 + -40 + 20 - 8) + 2?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 2*j - 2 - 34*j**2 + 29*j**2 - 13. What is the units digit of s(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(-4*sqrt(11)))**2*-1.\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 8*m - 3. Let u(o) = 8*o - 4. Let j(b) = -2*t(b) + 3*u(b). Let h be j(3). Let g be (10\/3)\/(3\/81). Calculate the highest common divisor of g and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1303064 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y - 33. Let m(a) = -a**3 - 8*a**2 + 12*a + 3. Let x be m(-9). Let s be j(x). Let v = -34 + s. Solve v = -2*w + w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3 - 3 = 0. Differentiate -u - 4 + 4*f**3 + 0 wrt f.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/237741 and -70\/40382007.\nAnswer: 282674049","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 130 + 38. Suppose 0 = -2*h + 2*y - 6 + 44, h - 19 = -8*y. Calculate the remainder when n is divided by h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 5*p + 31 = 6*l, 0 = 4*l + 5*p - 1. Suppose -42 = -7*z + l*z. What is the remainder when 55 is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -6 + 2*m**2 + m**2 - 2*m**2 + 5*m. List the prime factors of b(-8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 14644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 983425 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*k**5 + 42412*k**3 - 47*k**2 + 4276*k.\nAnswer: 120*k**2 + 254472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.384 - 0.184. Suppose 0 = -5*d - 2*h + 1, 5*h + 9 = -2*d + 1. Which is the closest to -0.1? (a) 2\/3 (b) x (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5794344 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 73105 and 135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - -7) + (1 - 493). Suppose 263*w = 258*w + 4335. Let o = w + h. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4 - 463766*g**3 - 927538*g**2 - 463770*g.\nAnswer: 2*g*(g - 231885)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.194 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 151644151 to the power of 1\/4, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (72\/(-6))\/(12\/(-992))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19884 by -3.\nAnswer: -6628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32603, 32602, 32601, 32600, 32599, 32598?\nAnswer: 32597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = -4*i + 11. Is ((-54)\/i)\/((-3)\/(-8)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2*((sqrt(343) + -1 + sqrt(343) + 2 - sqrt(343)) + (-3 + sqrt(175) - (2 + sqrt(343)))))**2.\nAnswer: -120*sqrt(7) + 736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 54*p - 173. Let r(j) = -100*j + 348. Let h(a) = -11*f(a) - 6*r(a). What is h(29)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - m**2 - 115. Let h be n(0). Suppose -5*u + 564 = -356. Let i = h + u. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*y + 377 = -1641 - 862 for y.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 675021 divided by 3027.\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 97*x - 103*x + 3186. Calculate the greatest common factor of 9 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 2. Let x = -3.9928 - -0.1028. Let u = x - -4.03. Sort p, 5, u, 0.\nAnswer: p, 0, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/13 in 3, 2, 0.11, -4?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 355*n - 360*n + 55, 3 = n for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 - 1205432593234858*v + 1205432593234858*v.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -5, -52, -3, 1, 2 in descending order.\nAnswer: 5, 2, 1, -3, -4, -5, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/28 - (-4)\/14. Suppose -2*j = -4*g - 5 - 27, 5*g = 0. Suppose b - 20 = -0*n - 5*n, 3*b - 22 = 4*n. Solve -l + 2*w = b, x*l + 2*l = -5*w + j for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.09 (b) -0.0438 (c) -81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 7*d. Suppose 42*x = 33*x + 126. Let t be x\/91 + (-89)\/(-13). What is c(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1423 + 1423. Let j be (-90)\/(-20)*(-4)\/(-3). Sort j, -1, c.\nAnswer: -1, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1707 divide 132881431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 125 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 719*y - 49518 = -341*y + 143*y for y.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7787 or -7785?\nAnswer: -7787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1))**(-1\/51)\/(a\/a**1)**(-27))\/((a**(-1))**19\/((a*a**(-1))\/a)**(-3\/4)) assuming a is positive.\nAnswer: a**(4033\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1181, -2380, -3859, -5612, -7633?\nAnswer: -9916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -96640 divided by -19328\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -727405*h**4 - h**3 + 41*h**2 + 13*h.\nAnswer: -17457720*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 9*i + 5*a + 705, 0 = -3*i - 3*a + 549. Solve 2*x - 182*b + i*b - 8 = 0, -5*x - b + 20 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*c + 2. Let g = 4 + c. Determine y, given that -y**g - 11*y + 14*y - 5*y**2 + 6*y**4 - 3*y**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**4 + 82635*w**3 - 1240410*w**2 + 3970400*w + 5293440 = 0. What is w?\nAnswer: -16542, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4562211 to the power of 1\/2, to the nearest integer?\nAnswer: 2136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -178*l - 14. Let d(y) = -38*y - 3. Let b(i) = -14*d(i) + 3*h(i). Let f(n) = 1011*n - 1. What is f(b(u))?\nAnswer: -2022*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6\/11 (b) -0.5 (c) 0 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3436974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-4) + 26\/8. Let l be (-3 - -3) + (-4)\/(-2). Solve -1 = l*d - g for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-168))\/((-32)\/(-7872)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/3*(-108)\/(-24). Suppose 4*y + a - 72 = j*a, -2*y + 32 = -2*a. What is the lowest common multiple of y and (1 - -4) + 1 + -2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 15*q**3 + 2*q**2 + 31*q - 32. What is m(1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-six fifths of a tonne?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -98\/317 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -60151\/4 - -15124. Let r = c - 86. Factor 0 + r*f**2 - 1\/2*f.\nAnswer: f*(f - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -7 - d**2 + 13 - 5 + d. Let c(j) = 12*j**2 - 8*j - 8. Calculate -c(v) - 8*m(v).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-one halves of a gram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.524 and -25.8313?\nAnswer: -13.5356012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7192 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1654*v + 1655*v + 39 = 5*d, -3*v = -3 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**15\/((c**31\/c)\/c)*c**(6\/17)\/(c**(-1\/9)\/c) assuming c is positive.\nAnswer: c**(-1918\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*m**3 + 2*m + 123 - 2*m - 121 as w*m**2 + o*m**3 + u + f*m and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 - 96 - (-9 + 41)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -7 + j + 16 + 3*j**2 - j**3 - 12. Let u be m(3). Let z be (-16)\/18*(-6)\/(-8). What is the second biggest value in z, u, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1185*d**3 - 2348*d**3 + 1165*d**3 - 107*d.\nAnswer: 2*d**3 - 107*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/51*(-57)\/38*-32.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -27 and 21661517790.\nAnswer: 21661517763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 80557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7516*j*v**4 - 6*j*v**3 - 3439*j*v - 7*v wrt v.\nAnswer: 90192*j*v**2 - 36*j*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 9:50 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 3:11 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 568975?\nAnswer: 5, 11, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -35051342?\nAnswer: 35051344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*g + 37*g = 4*l - 10, -18*g = 3*l + 12 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -8997260 to the nearest 10000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 12:45 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 179*f**5 - 28384*f**4 - 3782409*f**2 - 4*f.\nAnswer: 10740*f**2 - 681216*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, h: 7}. Give prob of sequence hiii.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -58 - w + 57 + 7*w**4 - 4*w**3 + 0*w**3 + w**3 + w**3 in the form s + b*w**2 + z*w**4 + r*w + i*w**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26689930 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-34000)\/30*(-1 + -2). Round v to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -37, -103, -217, -391, -637, -967?\nAnswer: -1393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2265034 divided by 1.\nAnswer: 2265034","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10121 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 73 - 47 + 272*y - 27 to s*y + f and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116 - 1518*p + 45 + 28 + 40.\nAnswer: -1518*p - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -9*z - 8. Let m(k) = -k - 1. Let x(q) = -4*q - 3. Let w(j) = -4*m(j) - x(j). Let g(d) = -4*i(d) - 5*w(d). Let u = 3 + -5. Calculate g(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 3795009080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/4 - (-11)\/(-2). Let c = 66.482 + -66.782. Sort -2\/169, q, c in descending order.\nAnswer: -2\/169, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 + 3113?\nAnswer: 3034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144636*i - 6*l + 78 = 144642*i, -12 = 4*i - 4*l for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((2*sqrt(104)*-3 - sqrt(104)) + sqrt(104)*1*-5)\/(1*3*sqrt(72)).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -4*c**3 + 4*c**2 + 2*c - 6. Let f(y) = -y**3 + y**2 + y - 1. Let a(d) = 5*f(d) - v(d). Is a(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -6*k + 93. Calculate the remainder when z(10) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*y**3 + 195*y**2 + 4221 wrt y.\nAnswer: 12*y**2 + 390*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2148809083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 6*j**2 + 53*j + 240. Let t be s(-5). Solve 4*l + 4*r + 20 = t, 2*l + 3*r = -4 - 8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114036 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 457632473 to the power of 1\/2, to the nearest integer?\nAnswer: 21392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 4, -3, -8, 90 in decreasing order.\nAnswer: 90, 4, 2, -1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 115 in -165, -2\/3, 3, -0.01?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/4 + r**2\/4 - 81*r\/4 - 81\/4.\nAnswer: (r - 9)*(r + 1)*(r + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 take away -5212?\nAnswer: 5297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -183491333*u**3 + 4917770*u - 2 wrt u?\nAnswer: -1100947998*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5565, 22414, 50495, 89808, 140353, 202130, 275139?\n\"Answer: 5616*u**2 + u - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 133 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**4\/9 - 716*a**3\/9 - 2912*a**2\/9 - 976*a\/3.\nAnswer: 4*a*(a - 183)*(a + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4b - -5894?\nAnswer: 5912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 56664594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 9*w + 2. Determine r(6).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/3792 and 21\/200.\nAnswer: 94800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -101 - -71. Let s = -79 + f. Let q = -8 - s. List the prime factors of q.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.17? (a) 4 (b) -39 (c) -37\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 230 divided by 164186\nAnswer: 115\/82093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(1\/1 + 0). Which is the second smallest value? (a) -4 (b) -2 (c) s (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, o: 3}. What is prob of picking 1 o and 1 c?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*l - 157*l - 441 = -1391 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 5.923255\nAnswer: 2.9616275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -742 - -3?\nAnswer: -738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/k**(-3)*k**(-2\/33))**(2\/65))**(-3\/7) assuming k is positive.\nAnswer: k**(-326\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 313402044 (base 5) in base 7?\nAnswer: 14063135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1062137 from 14.0079.\nAnswer: 13.9016863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(40)\/sqrt(2)*1)\/(sqrt(10) - (sqrt(1210)*1 - sqrt(1210))).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352*f + 59 + 397 = 333*f for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - -13 - (-27)\/((-2025)\/(-510))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o**3 + 0*o**3 - 7*o**3 - o wrt o?\nAnswer: -30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 1)*(600 - 1199 + 660)*(2*z + 3*z - 3*z).\nAnswer: 488*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddda when four letters picked without replacement from {y: 2, i: 1, r: 1, d: 8, a: 1, j: 3}?\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fourty-nine quarters of a kilometer?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.01, -0.4, -2\/23 in descending order.\nAnswer: 0.3, -0.01, -2\/23, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12260, -12253, -12246, -12239, -12232, -12225?\nAnswer: -12218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - k + 1401 = 1431, 0 = 4*k + 88 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 464\nAnswer: -462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92\/736*1*14.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2*-128\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28.6*9.\nAnswer: -257.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103137.\nAnswer: 3, 31, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - 25. Let a be ((-553)\/(-7))\/(((-20)\/(-8))\/(-5)). Find the common denominator of -33\/26 and 3 + w + a\/(-4).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 30 = 3*d. Suppose -47*h = -46*h - d. Suppose -h*q = -17*q + 186. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -131, -275, -419, -557, -683, -791, -875, -929?\n\"Answer: s**3 - 6*s**2 - 133*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 + u - u)*(4*u + 5*u - 5*u)*(2 - 2 + 2*u).\nAnswer: -16*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 79485, 0 in decreasing order.\nAnswer: 79485, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/(-4))\/(-7 - 8580447\/(-1225782)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89, -83, -75, -65?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -2. Let v be m + 1\/((-3)\/(-6)). Let o = -146 + 153. Solve 2*c = 4*j + 10, -3*j + o - 19 = v for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -102 - 20b83?\nAnswer: -20c85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u - 1. Let h be y(1). Suppose 24*i - 101 = -29. Find f, given that h*f**3 - 5*f**3 - 2*f**i - 2*f**2 + 4*f**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 158564 and 2253804?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 5*o**2 + 3*o - 7. Let w be v(-4). Which is smaller: w or -8\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4 - 128*j**3 - 3060*j**2 - 32400*j - 128250.\nAnswer: -2*(j + 15)**3*(j + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9822 + 6348. Let x = d + 7373. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of 2*a**3\/3 + 19*a**2. Let o(q) = q + 5. Give -4*o(r) + 5*t(r).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 5:14 AM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 150*y - 293. Give g(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 357?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -8. Suppose -50 = -5*q + 85. Suppose -k*u - z = -30, 0*z = -u + 4*z + q. What is the least common multiple of u and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 635 and 13401040.\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50304)\/(-1200) - 46 - (1 + -5).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 20 = -2*u. Solve 2*t - 12 = 2*m, 5*t + u = -8*m + 3*m for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllllrlrrrrrl. What is prob of picking 4 r?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - 6) + -39 + 7 + 40.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 6, -4*s + 19 - 1 = -u. Suppose -5*n + 0 = s, 5*z + 409 = -4*n. Let w = z + 127. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46366*k**5 + 18*k**2 + 3*k + 396 wrt k?\nAnswer: -2781960*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -143 + 318. Suppose 4*b = 85 + i. Let v = b + -2. List the prime factors of v.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 13, 22, 43, 82, 145, 238, 367?\nAnswer: 538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 4 = -2*x. Suppose 1 - 5 = x*m. Let d(a) = -2 - 10*a**2 - 1 - 69*a + 8*a**2 + 66*a + a**2. Calculate d(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*r**4 + 140?\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 17 = 3*d, 5*d + 2*c - 14 = 4. Suppose d*w + 50 = 6*w. Suppose -5*r + f = 25, 6*f = -5*r + f - w. Put -1, -3, r in ascending order.\nAnswer: r, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.6341 + 1.\nAnswer: -0.6341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {s: 7, c: 9}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 178 - -390. Is -11 at least as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*2 - (6 - 4). Let l = -2 + 0. Sort l, -3, b in decreasing order.\nAnswer: b, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17.9 + -18. Which is the nearest to k? (a) -1\/4 (b) -0.3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2 + 15*c - 21. Let w be p(6). Let f be (-3 - (-34 - w))\/(-2). Is f < -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 7:06 PM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 6 = -4*k. Let c = -3 + 5. Let b = k + c. Calculate the greatest common divisor of 12 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) 0.1 (b) -4 (c) -1\/2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (-2 - ((7 - 7) + 6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 5*f - 3. What is g(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 1540 = 1680. Suppose -5*m = 5*a - d, 0 = 2*a + 2*a. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1595 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 62.83? (a) -0.4 (b) 0.2 (c) 123 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from opccccppccppopccpp. What is prob of sequence co?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 2*l**2 - 2*l + 1. Let x be q(2). Let z be 40\/(-30)*x\/2. Suppose -3*f - z = -38. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 8 = 4*p. Let n(o) = 5 - 5 + 4 - 5 + 12*o. List the prime factors of n(p).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 5:57 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -2. Let g(t) be the third derivative of t**4\/24 - t**3\/2 + 9*t**2. Calculate g(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -512*r**2 + 201*r**2 + 173*r**2 + 157*r**2.\nAnswer: 19*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 6. Let o = -0.03 + -0.57. Let g = -0.4 - o. What is the third biggest value in -2\/3, t, g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 640287 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 12:58 AM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -51300178*s**2 + 829*s + 125953 wrt s.\nAnswer: -102600356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 392 - 391.9. What is the second smallest value in 6, -2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28347770\/37 at least as big as 766155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5614387, 5614384, 5614381?\nAnswer: 5614378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 3*k + 67269, 0*z - 2*z = 2*k - 44838. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -9*r - 12 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38814372, 77628739, 116443106?\nAnswer: 155257473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 17, 40, 4, 18?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26 and 976.\nAnswer: 12688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6354 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 306.5242 - 0.3242. Let h = 307 - w. Put h, -1\/3, 0.2 in decreasing order.\nAnswer: h, 0.2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 e when two letters picked without replacement from {w: 1, l: 1, x: 1, e: 1, j: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/64532 and -45\/6188.\nAnswer: 451724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.41 and -0.41948?\nAnswer: 0.82948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.4 + -3.13. Let n = 4.1 + -3.47. Let j = n + t. Which is the closest to j? (a) -5\/4 (b) 1\/2 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28956962*d**2 + 28838236*d?\nAnswer: 57913924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**4\/7 + 32*i**3\/7 + 240*i**2\/7 = 0.\nAnswer: -20, -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41 - -252?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2 - 81\/2*j**2 - 81\/2*j**3 - 27\/2*j.\nAnswer: -3*(3*j + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/8 of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c**3 - 4*c**2 + c. Let a(i) = i**2 - i. Suppose -5*r + 3*w = -29, 0*r - w = 2*r - 5. Let p(o) = r*a(o) + f(o). Find t, given that p(t) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0 - 4*r**3 + 2 + 5 - 2 wrt r.\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 233*x**3 + 82*x**2.\nAnswer: 1398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -450 and -0.4.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 130842 and 8133.\nAnswer: 354712662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2*sqrt(52))**2.\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/4 + (-687)\/(-117) + -6 + 22\/132?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 x when two letters picked without replacement from ddddddddidddxdxdd.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 182 (b) -44 (c) 3\/2 (d) -5\/6 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 8 - 4. Let g be i\/12*(-6)\/(-10). Suppose 3*d - 2*b = -4, 2*d = b - 5 + 3. Is d > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50527, 101045, 151563, 202081?\nAnswer: 252599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -239, -924, -2057, -3638, -5667, -8144?\nAnswer: -11069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -4*b + 1. Let v = 1 - -1. Let m = -2402 + 2395. Let j(t) = -t. Give m*j(u) + v*f(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1757 = -70*h - 3507 for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -38, 21 in ascending order.\nAnswer: -38, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 49\/(-45) + (-4 + 8)\/20. Let l = -2 + 0. Is l bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -597*n + 86*n - 816*n - 105036 = -6838 for n.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q - 3*q - q)*(-13*q + 173*q + 580*q + 129*q) to the form s*q + b*q**2 + x and give b.\nAnswer: -2607","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/17808 and 51\/14840?\nAnswer: 89040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-7 + 11) - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -128086 and -0.1.\nAnswer: -128086.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 233323331023 + -1?\nAnswer: 233323331022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-9)*t*t**(3\/4))\/(t**1*t)**(1\/40))\/(t\/(t*t**(-1\/17))*t**12)**(-4\/19) assuming t is positive.\nAnswer: t**(-15379\/3230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -151512 or -151518?\nAnswer: -151512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 j when two letters picked without replacement from {j: 1, z: 1, u: 1, s: 1, p: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*w + 0)*(5 - 5 - 3*w)*(-1 + 4 - 4)*(-20 - 9*w**2 + 20).\nAnswer: -54*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 162 and 378513?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -45185, -45197, -45207, -45215?\n\"Answer: g**2 - 15*g - 45171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 y when two letters picked without replacement from {y: 3, j: 1, s: 3, q: 2, m: 1, b: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4318.3 times -0.2\nAnswer: -863.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4600992 = -t, -2*m - 284*t + 1840359 = -279*t. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 125*f + 895. Let w be i(-7). What is the highest common factor of 2780 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4417.87 millilitres to litres.\nAnswer: 4.41787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 + 5*p**3 + 4*p**3)*(p**2 + 55*p - 55*p).\nAnswer: 10*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3598 + 0.35. Let b = 0.0892 + n. What is b rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k - 1. Let y(n) = 12*n - 2. Let t be (1*9\/3)\/(3 - 2). Let h be t*(-2)\/(-5 + 3). Determine h*y(o) - 8*v(o).\nAnswer: 4*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/(-50))\/(-7)*((1 - 14) + 18)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54153?\nAnswer: 3, 11, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -113 (base 12) to base 13\nAnswer: -c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = 4*j. Suppose -4*n = -1 - 19. What is the lowest common multiple of j and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 200 + -25?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 802590840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -35*z**4 - 4295*z**3 + 77705*z**2 - 211585*z + 54210 = 0.\nAnswer: -139, 2\/7, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l + l + 0*l**3 - l**3 + 2*l**3 - 3*l**2 + l**4 to the form j + z*l**4 + a*l**2 + v*l**3 + w*l and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n + 2. Let h be g(1). Suppose 2*x - 4*w = 0, -x + 18 = -2*w + 6*w. Suppose -5*d + x + 4 = 0. Solve d*s = 3*s + h for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1422.4 rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(6*-4*4\/(-48)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3855, 0.5, -2\/3, 1, 0.054 in descending order.\nAnswer: 1, 0.5, 0.054, 2\/3855, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 a, and 1 f when three letters picked without replacement from {f: 2, h: 1, t: 6, d: 5, s: 1, a: 5}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 2)*(90\/(-24))\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1930300 rounded to the nearest 10000?\nAnswer: -1930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -5292*l - 11546*l + 1526*l in the form p*l + f and give p.\nAnswer: -15312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18555979 is divided by 2345.\nAnswer: 2339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 - 20. Let c(o) = -o**3 - 7*o - 1. Let j(w) = w**3 - w**2 + 7*w + 2. Let s(y) = 6*c(y) + 7*j(y). Is s(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 o when four letters picked without replacement from {o: 3, b: 9}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b + 1. Let s be z(5). Let o(a) = -a - 1. Let p be o(s). Solve -p*v + 7*v + 8 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 1, -c - 3*z + 7 = 3*c. Put 13, c, 3, -2 in ascending order.\nAnswer: -2, c, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d*d**30)))**1 assuming d is positive.\nAnswer: d**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1751673 - 1836.0813\nAnswer: -1753509.0813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 42 = -2*f, -3*f + 73 = -5*w - 12. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 103723 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49880 is divided by 8313?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, t: 5, k: 1, i: 1, z: 3, p: 4}. Give prob of sequence nni.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1981135*o**2*x**3 + o**2*x**2 - 33*o**2 - 11042548*o*x**3 - 7*x**3 - x**2 + 1 wrt o.\nAnswer: 3962270*x**3 + 2*x**2 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 4*q + 35 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2 = 16. Let a = 36 + h. What is the second derivative of 0 + 0 - 13*g**4 - 23*g + a*g wrt g?\nAnswer: -156*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -229 (base 11) in base 16?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 2)*(-3*m - m + 2*m)*(2 + 1 - 4)*(2*m + 0*m + m)*(-53 + 53 - 11*m) to o*m**3 + l + b*m + k*m**2 and give o.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76734.\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9cd34 (base 16) to base 3.\nAnswer: 1012122010222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 262.6*-22\nAnswer: -5777.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3 - -1 - (-1178)\/228 and 1350\/28 - (-4)\/14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/(900\/48) - (1 + 1).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36\/180 - (-89)\/10*2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -14. Let x be (-1)\/(-3) + 14\/3. Suppose 4*s = -x*c + 33, 4 = 2*s + 5*c - m. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19729231 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 787 = 11*m - 1149. Suppose -5*j + 14 = -m. Calculate the least common multiple of 1 and j.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*q**4 + 6*q**4 - 5*q**2 - 4*q**4 wrt q?\nAnswer: 120*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63576 and 144?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lara when four letters picked without replacement from aralllaarrlla.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 5*q**2 - 7*q - 6. Calculate the least common multiple of 22 and s(-4).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m + 2. Let d be b(5). Let v(o) = 2 + d + 11*o**2 - 9. Let t(k) = 3*k - 2. Let w(g) = -10*g + 8. Let u(n) = 4*t(n) + w(n). Calculate v(u(z)).\nAnswer: 44*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2712517713 to the nearest integer?\nAnswer: 1395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**5 - 150*b**4 + 1330*b**3 - 3140*b**2 + 2865*b - 910.\nAnswer: 5*(b - 14)*(b - 13)*(b - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1905, 1902, 1899?\n\"Answer: -3*g + 1908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 1298*m - 2809. Calculate the smallest common multiple of 27 and b(5).\nAnswer: 11043","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -21864336?\nAnswer: -8745734.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - 20. Suppose 3*d + 4*o = 9, 0 = -3*d + 5*d + c*o - 6. Let b(q) = q**3 - q**2 - 2*q + 2. Let a be b(2). Solve -k + a = -d*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -93.9 - -90. Let u = 4 + o. Is u greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -1ed3115?\nAnswer: 1ed3114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 647934016190 - 647934016047.2286079091. Let d = -3.2286071791 - l. Let f = d - -146. What is f rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 113\/3 + 1\/6*l**2 + 115\/6*l.\nAnswer: (l + 2)*(l + 113)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 272?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a + a + 4*a + (5 - 5 + 2)*(a + 0*a + a) - 2*a + 3*a - 2*a - 5086 - 430*a + 5086 as j*a + k and give j.\nAnswer: -425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v - 11. Let l be i(-6). Suppose 0*a = -3*a - f + 9, 0 = -2*a - f + l. Find the third derivative of -130*c**6 - 6*c**2 - 2*c**a + 147*c**6 wrt c.\nAnswer: 2040*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/((z*(z**11\/z)\/z)\/z))**(-23)*z**(7\/5)\/(z\/(z\/(z\/((z*z\/((z\/(z*(((z*z\/((z*z**(-1\/14)*z)\/z)*z)\/z)\/z*z)\/z))\/z))\/z)))) assuming z is positive.\nAnswer: z**(11443\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - -2)*(-1)\/(-2). Suppose 0 = 2*p - c*p + 11. Let w = 14 - p. Solve -w*q = -q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 26*i**2 + 920*i - 2. What is s(-46)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 22\/7 (b) -125 (c) -4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16276*d**2 + 32894*d**2 - 14174*d**2 to y*d + v*d**2 + t and give v.\nAnswer: 2444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**6\/120 + 11*j**5\/60 + j**4\/3 + 31*j**3\/2 + 2*j**2 - j + 1583. Give m(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1678085593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20\/113, 343, -5 in decreasing order.\nAnswer: 343, -20\/113, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*t - 1 = 5, -2*d + 2*t - 6 = 0. Solve u + 10 = -2*g - d*g, -4*g - 18 = u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1808, 1500, 978, 242, -708?\nAnswer: -1872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/24*36 + 0. Let -722\/7*j**f + 24\/7 - 464\/7*j + 2318\/7*j**2 = 0. Calculate j.\nAnswer: 2\/19, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 299 divide 99344718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 575\/(-65) - (7 - 16). What is the third biggest value in -2.2, -3, i, 0.3?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - (-6 - -10)) + -8 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5272 and 187464?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, 2\/7, 41, 26, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -319.\nAnswer: 95.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*u - 3*u + 0*u)*(8994*u - 2*u**2 - 8994*u + 4)*(2*u + 43 - 23 - 19) to the form o*u**3 + v*u**2 + q*u + j*u**4 + s and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-16))\/((-18)\/396).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-387)\/3*14\/(-21). Suppose -c + 94 - o = 0. What is the nearest to 0.2 in 0.2, -0.5, c, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 408, 398, 386, 372, 356?\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 540901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 t, and 1 z when three letters picked without replacement from {z: 4, n: 2, a: 3, d: 1, p: 4, t: 1}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -66*(9\/(-3))\/6. Suppose u - 137 = -4*u - g, -3*g = u - z. Solve 2*o - 4*l + 6 = 0, -o - 3*l + u = 2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29904?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6910599*i**2 - 3770336*i wrt i?\nAnswer: -13821198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2050134044?\nAnswer: 2, 7, 73, 1003001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16488, 16487, 16486, 16485, 16484, 16483?\nAnswer: 16482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 184*h**2. Let d(c) = 28*c. Calculate d(v(y)).\nAnswer: 5152*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54089870?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 11*t**2 - 77*t. Let f(x) = 8*x**2 - 55*x. Let r(z) = 7*f(z) - 5*h(z). Let c(a) = 4*a**2. Let b be (-6)\/4*(-16)\/(-12). What is b*c(g) + 7*r(g)?\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(13) - (sqrt(13) + 0 + 5)**2).\nAnswer: -43 - 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1663 - -1425.01.\nAnswer: -237.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -825616 (base 10) to base 12\nAnswer: -339954","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 2 + 9 + 5 - 7.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/3 - 152*s**2\/3 + 149*s\/3 + 302\/3.\nAnswer: (s - 151)*(s - 2)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -88\/3 - -262\/9. Let o = 29 - 28.8. Is o at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -22000*f. Suppose y + 4 = -4*h, 5*y - 2*y + 4*h - 20 = 0. Let v = 3 + y. Let i be m(v). What is i rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 7\/6*p**3 - 5\/16*p**4 + 0*p - 135 - 1\/20*p**5 + 0*p**2. What is n in v(n) = 0?\nAnswer: -7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppii when four letters picked without replacement from {y: 4, i: 3, p: 7}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - -7) + (7 - 21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14226 - 23?\nAnswer: 14203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -5*p + 2*p + 1 + 2*p. Let r be m(-4). Suppose 1 = -3*u + 4*u. Solve -4*c = -r*o + 2*o - 13, 2*o + 5*c = -u for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -453620 divided by -113405\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1959*y + 19030 + 8118 = 3640 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**4 + 472*u**3 + 4004*u**2 + 8720*u.\nAnswer: 4*u*(u + 4)*(u + 5)*(u + 109)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from ebebbbbbebebe?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/2*-2*2\/10*(-339170)\/46962.\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-40) - 5*(-702)\/975.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 85, -998 in ascending order.\nAnswer: -998, 0, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1466 and 10995?\nAnswer: 21990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 761*f**2 + 132*f - 255. Let u be s(2). What is the greatest common factor of 86 and u?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*h + 3*k, 3*h + 5*k - 1 = 31. Find the second derivative of -h*m - 40*m**3 + 5*m - 3*m**4 + 40*m**3 wrt m.\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*w**(-3)\/w)\/w**(-1\/3)*w*w**(4\/3)\/w*w**(-8))**(3\/11))**(11\/7) assuming w is positive.\nAnswer: w**(-25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 20*d**3\/3 + 582*d. Let x(u) = 7*u**2 + 6*u + 6. Let q(n) = 8*n**2 + 7*n + 7. Let a(c) = 6*q(c) - 7*x(c). Determine h(a(r)).\nAnswer: -40*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/((-2)\/(-4)*-3). Let j(g) = 3*g**3 - g**2 - g. Let u be j(-1). Let w be 2\/u*p\/10. Does w = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/7)\/((-5)\/(-35)). What is the lowest common multiple of 3 and ((-10)\/4)\/(o\/(-4))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(-4)*-1*2. Sort -1, p, 3 in ascending order.\nAnswer: p, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5491 divided by -10\nAnswer: -5491\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 15. Let t(o) = -o**2 + 5*o + 4. Let f be t(6). What is the lowest common multiple of (-3 + 4 - f) + 4 and m?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4061283371 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.25 + -0.65. Let f = 7 - c. Let b(l) = -l**2 + 4. Let h be b(3). What is the biggest value in h, f, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 548046 and 1923534?\nAnswer: 98100234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 1:57 PM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l - 315472 = -34*l + 338268. List the prime factors of l.\nAnswer: 32687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -6*m + 816. What is the smallest common multiple of m and 48?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 2*w - 2*w**2)*(104*w**2 - 45 - 254*w**2 + 120*w**2).\nAnswer: 60*w**4 + 90*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 bigger than -0.27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -39 + 2*l + 5*l + 46 + l**2. Let i = -18 + 11. Give z(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -11*v**6\/6 + 43*v**5\/4 - 85*v**4\/4 + 85*v**3\/6 + 5*v**2 - 2840*v. What is u in j(u) = 0?\nAnswer: -1\/11, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 10, 147*b - 302*b + 150*b = z - 1 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*p + 34*p - 22*p)*(2 + 9 - 4) + (1 - 5 + 3)*(2*p + 0*p - 3*p) + p - p + 4*p.\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70410 divided by 2.\nAnswer: -35205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -13770*f**2 + 189*f - 378. Let m(i) = -293*i**2 + 4*i - 8. Calculate -189*m(z) + 4*r(z).\nAnswer: 297*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(33640\/8408 + -4). Suppose 0 = -6*r + s + 287. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 52*p**2 - 2430*p - 8966. What is w(-4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -9*r + 701. Let i be n(76). Let k(h) = -h**3 + 9*h**2 + 2*h - 3. Let p be k(4). What is the highest common divisor of i and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275 is divided by 70?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.82 + 6. Let v = w + 9.82. Put -1, -5, v in ascending order.\nAnswer: -5, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q - 4*p + 3, 4*p = 1 + 7 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w**3 - 7*w**2 - 7*w + 12. Let g be y(4). Suppose -2*k = 0, -2*l - k = k + g. Sort l, -3, -4 in descending order.\nAnswer: -3, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ba8 + 443?\nAnswer: -765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r**2 + 36 - 105*r + 105*r - 23 to c*r**2 + a*r + f and give f.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.40723814067 - 110.\nAnswer: -115.40723814067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q - 4*q + q + (1 + 2 - 7)*(-189669 + 508*q + 189669).\nAnswer: -2035*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d + 0*d - d - 6*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**34*u\/(u\/u**(-5\/6))*u**(4\/15)\/(u\/u**(-37)) assuming u is positive.\nAnswer: u**(-2147\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4.88 times -175.2532\nAnswer: -855.235616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzhzzaah. What is prob of picking 2 z and 2 h?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert b0447 (base 14) to base 2.\nAnswer: 1100111010111111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -17*v - 3. Let s be f(-2). Let h(b) be the first derivative of 9 + 27*b**2 - 57*b**2 + s*b**2 + b**6. What is the second derivative of h(w) wrt w?\nAnswer: 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and ((-6)\/9)\/2 - (-732)\/36.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 1\/1 - 11. Let w = 13 + l. What is the tens digit of (-25)\/(w - (0 - -1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -138494, -276987, -415480, -553973?\nAnswer: -692466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3388675.\nAnswer: 5, 89, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 22 (b) 4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 8*v - 22 - 12 = 134, 5*v + 15 = 2*f - 90 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffwflpfkllpkfvlv. What is prob of sequence wkkf?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d**2 - 8*d - 8. Let j(f) = -f**2 + f + 1. What is 6*j(x) + p(x)?\nAnswer: -3*x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -97 divided by -5\nAnswer: 97\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 27, -45, -153, -297, -477?\n\"Answer: -18*h**2 - 18*h + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -195568*-0.2\nAnswer: 39113.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 249 - 5227\/21. Let z = -0.2 - -0.2. Let y = -328.9 + 329.5. Which is the closest to z? (a) y (b) w (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 2*o**2 + 401*o**3 + 411*o**3 - 911*o**3 + o as q + g*o + d*o**2 + t*o**3 and give t.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -87 + 668.\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 8*w - 3*w. Let o = w - -3. Let i be -3 - -3 - 1\/o. What is the second smallest value in -0.4, -1, i?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (18 - (-7 + 0))) + -5.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -5, -1\/2, -2, 0 in decreasing order.\nAnswer: 0, -1\/2, -2, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0011603 rounded to 4 dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 8*u**2 + 22*u + 34. Let z = 21872 - 21882. Give p(z).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1613 + 2047 = -20*l. Let h = 200 + l. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + -2*sqrt(104) + sqrt(104))\/sqrt(8) + sqrt(13)*-4 + -2 + (sqrt(117)*-2 - (sqrt(832) - (sqrt(832) + sqrt(832)*1))))**2.\nAnswer: 8*sqrt(13) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 0*n**4 + 1\/60*n**6 + 0 + 1\/105*n**7 - 3*n**2 + 0*n**3 + 0*n + 0*n**5. Let j(f) = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in 3, 0.1, 2, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of p**4\/24 + 5*p**3\/6 - 24*p**2. Let u be z(-2). Solve -o - 2*r = -2, 4*o - u - 1 = -4*r for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -0*z + 10. Let h = z + -2. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -1\/3, -1, -48, -0.2?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 2\/11, 876915\/2, -1 in ascending order.\nAnswer: -1, -2\/7, 2\/11, 876915\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -659*f + 313*f + 294*f + 104 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1289.2 - 1288.9. Let z = -44 + 173\/4. Which is the second biggest value? (a) 3 (b) z (c) q (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1051, 4223, 9511, 16915?\n\"Answer: 1058*b**2 - 2*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 + 46 - 70 + 24.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 20*i**2 + 4. Let u(k) = -k + 27. Let b be u(7). Let y be w(b). Let n(g) = 532495*g + 20. Let d be n(y). Round d to the nearest 100000.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 562 + -10?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -75*g - 385. Suppose -12*b + 14*b = -3*i - 53, 0 = -4*i - 2*b - 68. List the prime factors of q(i).\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -93 (b) 1 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*((-39)\/9 - 3). Let b(f) = 13*f + 38. Let g be b(w). Round g to the nearest ten.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 101275 + -52647. What is the ten thousands digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 2*z + 1. Let n be g(-3). Let j = 56 - n. Let c = 33 - j. What is the highest common divisor of 11 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(5) + sqrt(640)\/sqrt(8))**2 + 2 + ((sqrt(15)\/sqrt(3))**2 + 3 - sqrt(15)\/sqrt(3)*3) + -5.\nAnswer: -3*sqrt(5) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -17*f**3\/3 - 17*f**2\/2 - 29*f + 2327. Let j(h) = 4*h**2 + 4*h + 7. Determine 9*j(u) + 2*w(u).\nAnswer: 2*u**2 + 2*u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*c + 6326 - 2*c - 14*c - 2*c + 32*c as f + t*c and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4704 divided by 392?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -299 + 300. Factor -4*w**2 - 1 - 2168*w + 2136*w + h.\nAnswer: -4*w*(w + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -39267.957 to the nearest ten.\nAnswer: -39270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - z - 3*g + 57, 2*z - 50 = 4*g. Suppose -4*r = -r - z. What is the remainder when 16 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1.4556135 months?\nAnswer: 0.00121301125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 21 = -3*c, 167853*g + 23 = c + 167858*g for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1924777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -316909*a - 10485 + 9*a**2 + 316909*a - 9*a**2 - 4466*a**4 wrt a.\nAnswer: -17864*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 + 404 = 7*s. Suppose 0 = -g - 32 + s. Let z be 2 + 0 + -4 + 3. Solve -4*a - z = g for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-3) + 1)*(-6)\/(-18).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -60*b**5 + 238*b**4 - 232*b**3 - 8*b**2.\nAnswer: -2*b**2*(b - 2)**2*(30*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -4\/7 (b) 4\/3 (c) 1\/9 (d) 1\/4 (e) -4031\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 12*w + 46. Let p be o(-4). Let l(m) = m**2 + m. Let a(j) = 3 + 4*j + 6*j**2 - 4*j**2 - 2. Determine p*a(s) + 7*l(s).\nAnswer: 3*s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 121 - 97. What is the highest common divisor of 864 and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2591.19 * 14.\nAnswer: -36276.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**3 - 11*d**2 - 5*d**2 + 16*d**2 + 1297 + 5396.\nAnswer: d**3 + 6693","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2767791?\nAnswer: 3, 13, 70969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 135197*b + 946270. What is f(-7)?\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204877591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -311368*b**3 + 155682*b**3 + 15*b**2 - 3*b + 155687*b**3 + 26. What is o(-15)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 58. List the prime factors of v.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -n. Which is the nearest to n? (a) 5 (b) -0.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2003*x + 6*x**3 + 2003*x.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-4 - 0 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.945 - 1.055. Let k be (-1)\/((-2)\/(-10)*-1). Which is the smallest value? (a) w (b) k (c) 0.4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3100 (base 4) to base 5\nAnswer: 1313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -1 (c) -0.4957 (d) -4 (e) -1.65\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -214 + 71 + 4*t + 68 + 75 - 3*t**3 + 15*t**2 as j*t + d*t**3 + s*t**2 + w and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 545.5288kg?\nAnswer: 0.5455288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7699, -60658, -204131, -483376, -943651, -1630214?\nAnswer: -2588323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 6 - (0 - (-7)\/4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hy when two letters picked without replacement from yuhyhuhyhhhhhhh.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 1 + 1)*(4*x**3 - 17*x + 17*x).\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 270 and 108.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((2 + sqrt(112))*-1 + 5 + 5 - (0 + 4*2*sqrt(112)*-5))**2.\nAnswer: 2496*sqrt(7) + 170417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/19 (b) 4 (c) -0.2 (d) 2 (e) 185\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (2 - -5 - 6 - 3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 4*p - 23, -2*x - 382 + 378 = p. Solve h + 7 = -4*r, -p*h + 0 + 2 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83740.\nAnswer: 2, 5, 53, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 13. Suppose n + 4*o = 2*n + 10, -h = -5*n + 2*o. Find the third derivative of -u**n - u**5 + 5*u**2 - 4*u**5 wrt u.\nAnswer: -300*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10543 + -10541. Solve -15 = 5*q + 5*i, 0 = -2*q + y*i - 4 + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -0.13 (b) 0 (c) -2\/5 (d) -7\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 34\/(-85)*(-10)\/12*6. Let y(w) be the first derivative of -1\/3*w**3 + 4*w + 0*w**u - 12. What is y(4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -0.1, 43, 1, 10, -0.5 in decreasing order.\nAnswer: 43, 10, 9, 1, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 5*f - 75, -10*f + 20 = -5*f. Let a be -1 + 0 - 66\/c. Solve a*q = -19 - 1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/((-18)\/8) + 4. Let f(r) = 2 - 4 - r + n*r**2 - r**2. Give f(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 896 and 7840?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 i when three letters picked without replacement from iiwimntietit.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**2 - 36*v + 159. What is x(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, l: 2, b: 6, y: 3, a: 2}. What is prob of picking 1 y, 1 l, and 1 b?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*l**2 + 130*l**3 + 217*l**3 + 8*l - 346*l**3 - 12*l + 4*l.\nAnswer: l**3 + 25*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 5*w - 4. Let x be y(4). Let f = 1 + 4. Suppose f*b + 21500000 = -x*b. What is b rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -317 + 950\/3. What is the second biggest value in l, -6, 0.27?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, 173, 489, 921, 1463, 2109, 2853, 3689?\nAnswer: 4611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5*r + 1. Let g be v(2). Let s be (-2)\/g + (-164)\/9. Suppose 3*n + 66 + 4 = 5*q, 98 = -5*n - q. Are s and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7191, -7193, -7195, -7197, -7199, -7201?\n\"Answer: -2*s - 7189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*z**3 - 42*z**3 + 86*z**3 + 2*z**2 - 2*z**2.\nAnswer: 91*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 7849 = -4*d, 2*k + 5*d - 39170 = -3*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1769237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2445 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 65*b**2 - 355*b - 59. Let w be t(-59). Put 54, 5, -3, w, -4 in increasing order.\nAnswer: -4, -3, w, 5, 54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 + -8 + (6 - 3))\/(-1). Let c be (-7)\/14 + (-1)\/(-6). Let p = -0.1 + 0.4. Sort c, j, p in ascending order.\nAnswer: c, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 + -0.3. Let y = -517 + 8787\/17. Which is the nearest to 1? (a) m (b) y (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, a: 6, c: 3, f: 1, j: 1, m: 1}. What is prob of picking 1 a and 1 f?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 divided by 48.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1032 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -515.8 - -516. Let h be 10 + -3 + (2 - -4). Sort h, l, 2 in descending order.\nAnswer: h, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/2 - 2187*w\/2.\nAnswer: w*(w - 2187)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11016, 22080, 33224, 44448?\nAnswer: 55752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -636 = -5*z - z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 0*t + 3*t)*(-294 - 157 + 190)*(-3*t + 4*t + t).\nAnswer: -1044*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.6160046 to 3 decimal places.\nAnswer: 14.616","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - ((-4)\/(-4) + 1). Is 628\/((-24)\/(-10) - o\/(-5)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of 29*g**6\/15 - 17*g**3\/2 - g**2 - 108*g. Find the second derivative of p(v) wrt v.\nAnswer: 696*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/28)\/((-65)\/(-25935)*-9)?\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1102, 2302, 3492, 4666, 5818, 6942, 8032, 9082?\nAnswer: 10086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3 = 5. Let c(s) be the first derivative of s**4\/6 + s**3 + 5*s**2\/2 - 10*s - 2. Let r(w) be the first derivative of c(w). Determine r(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1297871?\nAnswer: 19, 83, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 109966093\/10 or 10996610?\nAnswer: 109966093\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 1\/1000?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 0.21, -4\/49 in descending order.\nAnswer: 0.21, -4\/49, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -1. Let s be (-12)\/(-18) + (0 - (-2)\/(-6)). Which is the third smallest value? (a) u (b) s (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3192 divided by 6.\nAnswer: -532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*c - 39*c - 31*c - 431409 = 0. What is the hundreds digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50303129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nzh when three letters picked without replacement from {z: 1, k: 6, n: 1, p: 4, h: 4, f: 3}.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 951 is divided by 219.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 12:31 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(121)\/sqrt(44) + 1 + sqrt(539) + 4)**2 + 4.\nAnswer: 105*sqrt(11) + 2687\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 11*x**3\/3 - x**2 + x + 11. Let w be m(2). What is the third derivative of 7*u**2 + 0*u**2 + 30*u**5 - w*u**5 wrt u?\nAnswer: -660*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2001883, -2001928, -2001999, -2002090, -2002195?\n\"Answer: k**3 - 19*k**2 + 5*k - 2001870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1221*a**2 - 378*a**2 - 364*a**2 - 786*a**2 + 178*a**2.\nAnswer: -2571*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e + -1?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111549044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-1)\/44*6\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -53*s**3 + 5*s + 127. Let t = 499 - 494. Let m(a) = 54*a**3 - 4*a - 127. Let i(u) = t*m(u) + 4*h(u). What is the derivative of i(o) wrt o?\nAnswer: 174*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 515\/4 - 128. Which is the third smallest value? (a) k (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**3\/7 + 15186*m**2\/7 + 28834416*m\/7 + 28819232\/7 = 0.\nAnswer: -3796, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 421 - 421 + x. Let u(o) = o**2 + 0*o**2 - 3*o**2. Determine u(j(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133302 (base 4) to base 15.\nAnswer: 909","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -4\/5, 0.4, 1\/2, 0, 0.33, -53\/6?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 2417.21 + -2417. Which is the fourth smallest value? (a) 0.06 (b) f (c) -4 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29+0.97\nAnswer: 29.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 28608798 divided by -4768133\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (195*40\/7280)\/(((-30)\/(-4))\/5).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + v**2 + 136. Let f be o(0). Let k = f - 141. Let x(d) = -2*d**3 - 11*d**2 - 3*d + 3. What is x(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28\/10 - (-1)\/5. Let n be -3 - 5\/(-3)*i. Suppose -n*o + 150 = 3*o. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, x: 1, v: 1}. Give prob of picking 1 v and 1 e.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18)\/(-27)*(4 - 1). Suppose -p*w = -0*w - 40. Let j = w + 129. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 17292266 = -2*x. Suppose -4*g - 3753867 = -5*g. Suppose x = -w - g. Round w to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 24102?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 8*f - 108. Let r = 32 - f. Solve -r*m = -3 - 7 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, c: 9, y: 2, g: 3}. What is prob of sequence oocy?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (5\/35*14)\/(((-442)\/(-4))\/13)\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-2*(sqrt(22)\/sqrt(2)*1)**2.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 305 and 94595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.02194 - -0.32194. What is the closest to 0 in q, 9, 2, -15?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 93190 and 2255.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/5 (b) -0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -316 = 64*z + 260 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*v**2 + 14*v**2 + 12*v**2 + (3*v - 3*v + 2*v)*(7*v - 7*v - 2*v) as d + l*v**2 + x*v and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of t**4\/6 + 31*t**3\/6 + 11*t**2. Let c be a(-7). Factor -6*n**2 + 5*n**3 + 2*n**3 - 8 - 10*n**2 + 20*n - 3*n**c.\nAnswer: 4*(n - 2)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20057135?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1572650 divided by -314530\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*j - 3*l + 3179 - 3139, 5*j = -3*l - 20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*l + 77 = 0, -x + 74 = x - 2*l. Is x a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3c91c6 - 2?\nAnswer: -3c91c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27008 and 13504?\nAnswer: 27008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 5 + 27)*(-v + 4*v + 0*v)*(-7 + 5 - 1)*(2 + v - 2).\nAnswer: -126*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -6*g + 6. Suppose -5*i + 0*i - 5*m + 145 = 0, i = -g*m + 27. What is the greatest common factor of i and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (10 - -1) + -13.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -5, -2 in descending order.\nAnswer: -0.04, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 287, -0.1, 3, 2\/7, 42, 34, 4.\nAnswer: -0.1, 2\/7, 3, 4, 34, 42, 287","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 12:10 AM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8a (base 11) to base 10.\nAnswer: -98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = n - 5*d, 0 = -3*n - 0*n + 3*d + 9. Suppose n*r - 16 = -2*r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94830 divided by -9483?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5588 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 922?\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -6) + ((-312)\/32 - -4). Which is the closest to -6\/71? (a) 2\/11 (b) -1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/(-15)*9)\/1. Let t be u*3*(-2)\/9. Let f(z) = z. Calculate f(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27112 or -27159?\nAnswer: -27159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 + 3 - (-1 - 0)\/(8\/9752) and 6?\nAnswer: 2454","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 48464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 10:45 PM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-23))\/(u**(-8)*u))\/(u**(7\/5)\/(u\/(u\/u**(-16)))) assuming u is positive.\nAnswer: u**(-162\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1454 less than 634?\nAnswer: -820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or 1\/2825?\nAnswer: 1\/2825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 449016?\nAnswer: 2, 3, 53, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 8 = -4*u, -u + 10 = 4*u + 5*t for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2078 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -380*c + 357*c - 105777 = 0. What is c rounded to the nearest 100?\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 7*j**2 - 7*j - 8. Suppose -g - 6 = -0*g. Let l be z(g). Is (-255)\/(-6) + l\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 3. Calculate the remainder when 122 is divided by p - 30*(-1 + 0).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-7) + (-16)\/(-7). Suppose 4*p = o*z - 32, 0 = -3*z + 3*p - 18 + 57. Let j(d) be the first derivative of -d**2\/2 + 5*d + 65909. Calculate j(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -695*y + 322*y - 238*y + 519 - 5*y**2 + 95*y + 2*y**2 = 0.\nAnswer: -173, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 156068120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*m, 5*w - m + 5 = m. What is the units digit of (-1)\/w + 1040\/12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 10. Let o = 1 + -0.8. Let k = -853 - -851. Which is the nearest to p? (a) o (b) 5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 7*j - 3. What is the remainder when (-11043)\/(-459) + 9\/(-153) is divided by b(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 590 divide 141899130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -826 greater than -824?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(245) + sqrt(245) + 0)**2 - -5*sqrt(245)*5.\nAnswer: 175*sqrt(5) + 979","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**4*q + 1155421*c**3*q**3 + 88*c**2*q**3 - 2*c**2 + 192*c*q**3 wrt c?\nAnswer: 48*c*q + 6932526*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 832 and -0.6.\nAnswer: -499.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 119293570 divided by 2\nAnswer: 59646785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 883 + 264?\nAnswer: 1257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45 + 107. Let w = -58 + b. Solve d - w + 5 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + m - 668 = 0, -400 = a + 2*a - m. Let g = a + 161. Suppose 29 + g = 14*p. What is the least common multiple of p and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/(-4) - ((-12)\/(-16))\/(-3). Determine f, given that -44*f**4 - 19*f**4 + 533*f**d + 27*f**5 - 542*f**2 - 51*f**3 = 0.\nAnswer: -1\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**2 + 2. Let g(s) = 15*s**2 + 232*s - 138. Let a(k) = 2*g(k) - 14*r(k). Factor a(v).\nAnswer: -4*(v - 38)*(3*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*d + 207 + 27. Suppose -3*b - 2*w - 74 = 0, -40 = 2*b - w - 0*w. Let c = d + b. Which is smaller: -14 or c?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 0, -29, -4 in ascending order.\nAnswer: -29, -4, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from djjddjdedjoozz. Give prob of picking 1 z, 1 d, and 1 o.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*u**2 - 14*u**2 + 11*u**2 + (-3 + 2 - 2)*(-6*u**2 + u**2 + 3*u**2) to m*u**2 + y + f*u and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -76885 to the nearest one hundred.\nAnswer: -76900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -358136 divided by 44767\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - 20*v + 47. What are the prime factors of j(23)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 m when three letters picked without replacement from mmmmmmmmuummummmmm.\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q - 9*q - 7 = 0. Sort 11, 3, q.\nAnswer: q, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 184 - 182. Let t(u) = u + 10. Let i be t(-7). What is the nearest to -1\/3 in i, o, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-2)\/(-2)*15. Suppose 5*a - 9 = -2*v + 5, -21 = -3*v + 4*a. What is the least common multiple of ((-15)\/(r\/16))\/((-1)\/(-2)) and v?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45321 (base 7) to base 11\nAnswer: 8698","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.42, 0.1, 6, 0, 3, -1\/11 in decreasing order.\nAnswer: 6, 3, 0.42, 0.1, 0, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3091, -2798, -2501, -2200, -1895, -1586, -1273?\n\"Answer: 2*h**2 + 287*h - 3380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 (base 15) in base 7?\nAnswer: -163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 4*l + 31 + 14, p - 15 = 5*l. Suppose 4*w = p + 5. Solve t + w = 5*z - 3*t, 5*z = 2*t + 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*l - 4*j = -1085, -4*l = -5*j - 827. What is the remainder when l is divided by 67?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 2*x + 24 = 0, -4*u + 5*x + 11883 = 11909 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + -2*sqrt(132)*-1)\/(-2*sqrt(891)))\/((-2*sqrt(800))\/(sqrt(64)\/(sqrt(32)\/sqrt(4)))).\nAnswer: sqrt(3)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 2*g - 1 + 16*g)*(-3 - 4 + 6).\nAnswer: -18*g + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1, 4, 16?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -134 + 129 + 8 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 - -6)\/(2\/(-4)). Let n = -3052 - -3045. Sort n, -5, l in ascending order.\nAnswer: n, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -5. Let m be -12*(x + 2\/(-3)). Solve 0 = 5*u - 3*d + 10, 3*u - d = -u - m for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of 24*o - 15*o**2 + 0 - 1\/2*o**3. Let u be h(-13). Calculate the highest common divisor of u and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 6.2. Let h = -6 - -10. Suppose 0*t + 20 = -h*t. Put t, p, 0.05 in descending order.\nAnswer: 0.05, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/10 of a decade?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 92755621463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 12:32 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 6*b**2 - b + 4. Let n be m(-6). Suppose 24 = 2*q + n. Solve -1 = -3*a - q for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 52866261.\nAnswer: 15859878.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 1. Let v be a(2). Let t = 184 - 181. Suppose 5*u = i + i - 18, -t*u - 10 = -i. Sort i, v, 10.\nAnswer: i, v, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (16\/10)\/(2\/5). Suppose -40 = -g - 4*g. Suppose -1 + 0 = 5*w + 3*t, g = 2*w + 4*t. Sort w, x, -3 in decreasing order.\nAnswer: x, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 12*d**2. Let a(v) = 87*v + 7. Determine l(a(r)).\nAnswer: 90828*r**2 + 14616*r + 588","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/9)\/((-15)\/(-90))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*a**2 + 0*a**2 - 2*a**2)*(3*a - 1 + 1) - 2*a**2 + a**3 + 2*a**2)*(-2*a - 3*a + 6*a)*(a - 1 + 1) - 2*a**5 + 1 - 1.\nAnswer: -7*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 + 0*w**2 + 0*w**2)*(-2*w**3 + 4*w**3 - 3*w**3) - 2*w**5 - 3*w**5 + 4*w**5 + (846 + 104*w**4 - 846 - 2*w)*(-2 + 0 + 1)*(12 + 5*w - 12).\nAnswer: -523*w**5 + 10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006091 to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -267500*2*2\/(6\/(7 + -1)). Round z to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 828, 1658, 2488?\nAnswer: 3318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 8:32 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*s - 35 = -57*s. What is the greatest common divisor of 1 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4187, -4216, -4245, -4274, -4303, -4332?\nAnswer: -4361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2609759 a multiple of 858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + 1*sqrt(13)*6 + sqrt(13) + -1 + (sqrt(26)\/sqrt(2))**2).\nAnswer: 30 + 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-2)\/6*1). Suppose 2*t = 3*p - 3*t - 23, -4*t - 16 = 0. Let l = p - f. What is the smallest common multiple of 5 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8308175 - 58393747\/7. Let u = m + 33890. Let a = u + -101. What is the smallest value in -4, 4, a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -299 divided by -4\nAnswer: 299\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25008, 100017, 225024, 400029, 625032, 900033, 1225032?\nAnswer: 1600029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2129, 2126, 2123, 2120, 2117?\n\"Answer: -3*j + 2132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 5*r**2 - 4*r - 7. Let v be p(-2). Is 22 <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n - 1. Let m = 61 - 72. Let u(f) = 6*f - 5. Let l = 0 + 2. Give l*u(t) + m*b(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (70 - (-15 + 54)) + -6.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -7*q**3 - q**2 - 9*q + 20. Let w be a(8). What is w rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 19*n**2 + 11*n. Let s(d) = -7*d**2 - 4*d. Let w(x) = -11*s(x) - 4*u(x). Let h(m) = 43*m**2. What is w(h(b))?\nAnswer: 1849*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 160495209?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10543273 to the nearest integer?\nAnswer: 3247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77\/42 - (27\/(-2))\/(-9).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by 4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2020 divided by -505?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - (-6)\/(-5)*-5. Suppose c = -j*c + 12. Solve g + 24 = -g + 4*m, c*m - 23 = 4*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 41565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-74)\/(-148))\/(1\/(-5))*(-7)\/10. Solve -3\/2*a + 1\/4*a**2 - i = 0 for a.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 116*s + 37. Let b be k(1). Suppose 146*i = b*i - 49. Solve -i*y - 2 + 16 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(567) + -1)*3 + sqrt(567))**2 + sqrt(567) - (sqrt(567) + -1 + 3 + sqrt(567)))*6.\nAnswer: -1350*sqrt(7) + 54474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5939 - 659 = 0. Let b = h - 517. List the prime factors of b.\nAnswer: 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -6*a**2 - 17*a + 3. Let f(o) = 5*o**2 + 16*o - 4. Let j(q) = 4*d(q) + 5*f(q). Let i = -4055 - -4042. Calculate j(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2, -30, -104, -248, -486, -842?\n\"Answer: -4*s**3 + s**2 - 3*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(((z\/(z*(z*z\/z**(2\/7))\/z))\/z)\/z)))**(-1\/14))**(1\/14)\/((z**0\/z)\/z**10)**(-7) assuming z is positive.\nAnswer: z**(-105625\/1372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 22. Let r = 9 - v. Calculate the least common multiple of 3 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2492*m. Let b(t) = 109*t + 0*t**2 - 55*t - 54*t - t**2. Calculate p(b(x)).\nAnswer: -2492*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*d + 68*d = -72*d - 3298 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 10, 0*r = -5*f + 3*r + 5. Factor -2*z**5 - 2*z**3 + 3*z**5 + 4*z**4 - 4*z**4 - z**f.\nAnswer: z**3*(z - 2)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1050 = -73*j + 1317 - 615 for j.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**3*b)**31*(b**(-5\/4))**(-1\/22))**(-36) assuming b is positive.\nAnswer: b**(-147357\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q + 1. Let b be n(1). Let d(l) = 0 + 2 - 21*l + 39*l. Is d(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -152, -143, -118, -71, 4, 113, 262?\n\"Answer: u**3 + 2*u**2 - 4*u - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*m + 14, 5*l = 5*m + 70. Suppose -3*u - o - 12 = 0, 0 = -2*u - 5*o - l - 12. What is the third biggest value in 1, u, 7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 48*y. Let p be (12\/(-9))\/(-2)*3. Suppose c - p = -c. Is 13 a factor of w(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19.58 - -1\nAnswer: -18.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1168 * -7590.\nAnswer: 8865120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 8*m + 100. Let o = m - -24. Let t(h) be the first derivative of 3*h**4\/2 + h**3\/3 + h**2\/2 - 5. What is t(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 931 is divided by 454.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 p when four letters picked without replacement from lplmpppplpmlp?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 113972 to the power of 1\/2, to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.66 + 3.34. What is the biggest value in r, -0.4, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1317, 1300, 1285, 1284, 1309, 1372?\nAnswer: 1485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 7:45 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1589158*p**4 - 830418*p**2.\nAnswer: 38139792*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2159 + 5050 = 9*l. List the prime factors of l.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10223617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 322\/((27 - 26)*5\/(-8)). Let g = -515 - n. Factor 1\/5*y**4 - 2\/5*y**3 + 1\/5*y + g*y**5 - 2\/5*y**2 + 1\/5.\nAnswer: (y - 1)**2*(y + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(3*2\/18). Let m = -3\/293 + 26083\/586. What is the common denominator of m and ((-33)\/6)\/(f\/(-2))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2, 12, 44, 94?\n\"Answer: 9*l**2 - 13*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b7 + 1b904?\nAnswer: 1b9bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.25 + 0.35. What is the closest to i in -5, 0.1, -4.8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25 - 34 + 20)*(-3 + 1 + 1)*(4*p - 2*p + 0*p) - 5*p + 0 + 0 to the form y*p + k and give y.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-28) + 1\/(-7)*18569. What is s rounded to the nearest one hundred?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + b - 73, -b + 10 + 13 = n. Calculate the remainder when 101 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3806 is divided by 1225.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6579?\nAnswer: 3, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3*(3*(-3 + 1*sqrt(208) + 5) + -3))**2.\nAnswer: 3888*sqrt(13) + 101574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -573 + 574. What is the greatest common factor of 1725 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/(-50)*(-5990)\/33544?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4*1\/(4\/(-10)). Suppose -5*k + 1431 = 3*i, -i - 12 = -14. Suppose 5*v = 3*j - k, c*v = -j + 5*v + 115. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -274.7 - -276. Sort p, -0.68, -4.\nAnswer: -4, -0.68, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -95 + -dbab?\nAnswer: -dc51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -3 + 1 + -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 65*z**2 + 6*z + 23. Let i(v) = -2*v**2 + v + 5. Determine -5*i(w) + t(w).\nAnswer: 75*w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -8*z - 4*z**2 - 2 + z**3 + 5 + 0*z**2. Let o = -223 + 229. Let r be n(o). Solve -2*b - 5 = -5*k, k = -3*b - 3*k + r for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 241692*c**3 + 32710*c - 32710*c - 241690*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -18 (b) -12 (c) -462\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*t - 4, t + 8 = -2*i + 1. Let g = -453 - -453. Which is the closest to g? (a) -0.3 (b) -5 (c) 0.1 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((-612)\/561) + (-3)\/((-36)\/(-44))?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 10*j**2 - 9*j - 19. Let o be z(11). Solve o = v + 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nx when two letters picked without replacement from xnktyxtn?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d**3 + 8*d**3 - 3*d**3 - 5*d**3 - 2*d**3.\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101101011000001101 (base 2) to base 14.\nAnswer: -4ba45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.044910613 + -70.867348613. Let w = -0.023562 + t. Let z = 71 + w. What is z rounded to 2 dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 161\/(-30)*880\/(-1232)?\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3640?\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110011 + 101011010001011?\nAnswer: 101010101011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 343266 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 + -8. Let t = 13 - k. Let j = 49.999958 - t. What is j rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, 10, 36, 42, 22, -30?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -363*z**3 + 251354*z**2 - 502744*z**2 - 2 + 251390*z**2.\nAnswer: -363*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/17, -70, -50, -4, 9 in decreasing order.\nAnswer: 9, -4\/17, -4, -50, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*((n\/n**(-5\/7))\/n)\/n)\/n)\/n*n**(-1\/7)\/n assuming n is positive.\nAnswer: n**(-10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/30 and -43\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 - 6*i**2 + 3*i**2 + 12*i**2 - 11*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 26\/13 - -2*1. Let k be -18*(2\/6 + h\/(-6)). Let o(a) = a**2 - 1. Let j be o(-2). Solve -j*l = -0*l - k for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -101420, -203137, -304854, -406571, -508288?\n\"Answer: -101717*d + 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 u when three letters picked without replacement from {u: 18, c: 2}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/7))**41*v**(-4)*v**5\/v*v assuming v is positive.\nAnswer: v**(89\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 152 = 6*y - 23*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (569*d**3 - d + 124*d**3 + 292*d**3)*(1 - 1 - 2).\nAnswer: -1970*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 8*h - 10. Suppose -3*c + 2*c - 3*t = -509, -c - h*t = -514. Suppose -5*n - a + c = 0, -3*n + 6*a + 319 = 2*a. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -1.3. Let q = -1.3 - y. Let s = 439 - 5705\/13. Which is the nearest to -2\/3? (a) s (b) -0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 + 1 + -3 + 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7295\/414 - 358\/23. Calculate the common denominator of h and 37\/5.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, z: 2, x: 1, d: 1, k: 7, f: 3}. Give prob of picking 1 x and 1 z.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -122?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -13. Let v be (-2 - f)\/(70\/30). Which is the nearest to 1\/4? (a) -1 (b) 0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2038 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -7*y**2 + 5*y - 22. Let v(h) = 3*h**2 - 2*h + 11. Let i be (1*-3)\/((-45)\/30). Let t(u) = i*o(u) + 5*v(u). What is the first derivative of t(l) wrt l?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -64, 0.1, 5?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 850374 by 16674.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 2423003?\nAnswer: 2423001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3821 is divided by 239?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 12:24 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -112 and 0.5.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 481289893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 117*p**2 + 359*p + 123. What is b(120)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d**16\/d)*(d*d**(-1\/15))\/d assuming d is positive.\nAnswer: d**(-211\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*x + c, -c = 5*x - 20 - 15. Suppose l = 4*o - 15, -6 = -l - 5*o + 15. Calculate the least common multiple of l and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 11:47 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 18*t. Suppose -2*s + 19 = -a + 32, -5*a - 15 = 0. What is k(s)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 3:18 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u + 6. Calculate the lowest common multiple of 11 and b(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 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 h = 16 + 6. Let q = -10 + h. Calculate the highest common divisor of 12 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*4 - (-2 + 4). Let f = o + 9. Solve 4 + 11 = -f*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -128*b + 2379?\nAnswer: -128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1776\/80 + -13 - 12\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -179034, -180551, -182066, -183579, -185090, -186599, -188106?\n\"Answer: b**2 - 1520*b - 177515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40 * -20.\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 19*f - 1. Let k be p(1). Solve -5*y = -k - 7 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**2*c**2 - 1744*a*c**2 + 482*c**2 with respect to a.\nAnswer: 4*a*c**2 - 1744*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16486 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8455 is divided by 302?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*b - k + 1501 = 98*b, 110*b - 52*b = 57*b + 2*k + 10 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 2*k + 2. Let c(l) = l**2 + l - 1. Let h(a) = -6*c(a) - 3*w(a). Let r(g) = 5*g**2. Determine h(r(z)).\nAnswer: -75*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*f + 143, 2*r = f + 13 + 17. Let u = 32 + f. Suppose 0 = u*i + 2*i - 30. Calculate the greatest common divisor of i and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q + 45. Let c be u(0). Suppose -9*x + 27 + 0 = 0. Let p be x - (-16)\/9 - (-6)\/27. What is the greatest common factor of c and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1573539121.\nAnswer: 7, 11, 20435573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 148 (b) -3 (c) 2\/13 (d) -8 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1216563 + 3304091?\nAnswer: 2087528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -29. Let w be (-2 - -1)\/(2\/o). Put 4, w, 5 in decreasing order.\nAnswer: 5, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -666, -1332, -1998, -2664, -3330?\n\"Answer: -666*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s + 16. Let g be f(0). Suppose -6*n = -2*n - g. Suppose -n*o - 2*l = -2*o - 14, -3*l = -3. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6495.\nAnswer: 3, 5, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + t**2 + 2*t. Suppose 14 = -5*f - 1. What is the units digit of i(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w + 4. Calculate m(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -x**3 - 168. Let q(l) = 8*l**2 - 6. Calculate q(g(n)).\nAnswer: 72*n**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 1)*(-3 + 1 - 1)*(-4 + 4 - b)*(1 + 1 - 3)*(0*b + 3*b - 2*b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 33 + 14 = -p, 85 = 4*a - 5*p. Solve -a*i + 42 = -11*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13667614 - 21877614. Round c to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 83 (b) -0.2 (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 + 92. Is t a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -211 + 211.0000111. What is u rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 5*y + 38, 3*d = -3*y - 39 + 9. Let u(m) = m**2 + 9*m + 9. Determine u(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331) + -1)*1)**2 - (sqrt(1331) + (sqrt(1331)*1)**2 + 0) - (sqrt(1331) + ((-6*-1*sqrt(1331) - sqrt(1331)) + sqrt(1331))**2 + -2*sqrt(1331) + 5).\nAnswer: -47920 - 22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14060 and 445702?\nAnswer: 1406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72 by -5.\nAnswer: -72\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3305, -11 in ascending order.\nAnswer: -11, -1, 3305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**4\/9 + 76*j**3\/9 - 82*j**2 + 252*j - 255 = 0. Calculate j.\nAnswer: -85, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*n = 15 + 14, 0 = r - n + 7. Let m(h) = h**2 + 4*h + 5. Let z be m(r). Let f = z + -2. Do f and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3772177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 2:12 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 6 - 11 + 5 + 23*a**2. Let i(o) = o**2 + 2 + 0 - 3 - 2. Let t(y) = -2*y**2 + 8. Let g(s) = 8*i(s) + 3*t(s). Give g(v(u)).\nAnswer: 1058*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 537 is divided by 422.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 160 + -4660702?\nAnswer: -4660522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 124.39*-0.01\nAnswer: -1.2439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.537243 rounded to 0 dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27441480893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.8853 + 2.0853. Put -3\/20, -0.07, 7, p in descending order.\nAnswer: 7, p, -0.07, -3\/20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000015353584 rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/4 - 1)*(8 - (-45)\/((-1440)\/128))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((-14)\/105 + (-3)\/(-9)). Solve -2*s + 0*h - 3 = -3*h, 5*s - o*h = -10 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181700 rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -73 - 0*(-2)\/8. Let n = 179 + x. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8067719489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4*f**2 - 2*f + 1. Let u be y(1). Suppose 8*g - u*g - 240 = 0. Let m = 32 - 15. What is the remainder when g is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 310570, 5, 12\/7?\nAnswer: 310570","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 475\/(-570)*(-18)\/10*(-4)\/1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -1, -6, -0.362?\nAnswer: -0.362","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 187 and 8228.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 16. Let a(z) = z**2 + 29*z + 18. Let y(h) = -4 - 10 - 13 - 18*h + h**2 - 25*h - 3*h**2. Let v(m) = b*a(m) + 5*y(m). Let v(g) = 0. What is g?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 11. Let a be (-4 + -1)*(2 - l). Let q be 2\/a - (-2)\/(-5). Solve -u + 1 + 4 = q for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -15*x + 12. Is 9 a factor of v(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -21. Suppose f*a + 1 = 7. Determine b, given that 1\/2*b + 1\/2*b**2 - a = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0*f - 5*l = -28, -3*f = 5*l - 42. Let x = f - 9. Let j be (-2)\/1 - (-11)\/x. Which is the closest to 1? (a) 0.5 (b) -0.1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 1:44 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.08 (b) -1 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*u + 8, -46 = -4*z - 5*u + 3*u. Let q(l) be the second derivative of 11*l**3\/6 - 21*l**2\/2 - 2*l. List the prime factors of q(z).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 - 22. Suppose v = 11*r - 12*r + 2038. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-28)\/3 - 1\/(-3). Suppose 5*g = 19 + 6. Calculate the least common multiple of g and (1 - -1)\/2 - p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-12)*(-117)\/(-13)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, j: 1, v: 1, h: 2, d: 1, t: 1}. Give prob of picking 1 d and 1 j.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000450783 rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13081029.3754047 - 0.2.\nAnswer: 13081029.1754047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -1167398*p. Let q(g) = -4*g. What is l(q(m))?\nAnswer: 4669592*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wttnnddccdddyy. What is prob of picking 1 y and 1 n?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2*(32\/20)\/((-10)\/(-25))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4303584, 8607171, 12910760, 17214351, 21517944, 25821539?\n\"Answer: w**2 + 4303584*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5310027 to the nearest integer?\nAnswer: 2304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {o: 4, i: 10}?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 41*x**2 + 43*x - 171. Give p(40).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 22*g + 1. Let s be o(2). Let f be 86\/(-18) + (-10)\/s. Let k(z) = -z**2 + 1 - 4*z - 1. Calculate k(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 10 = -5*u. Suppose d - u = -1. Let k(w) = -3*w - 15. Let f be k(-9). Solve 7*b - d*b = f for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7103, -12832, -15823, -14708, -8119, 5312, 26953, 58172?\nAnswer: 100337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10325987 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -982 - -2029. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 8*a - 8. Let q be f(-7). Suppose d = -2*p - 2 - 1, 5*p + 5*d = -5. Let x = p - q. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1703892 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5*x**2 - 3*x + 9. Let r be l(3). Let t = 48 + r. Suppose -t*w + 11 = 2, 0 = -4*q + 2*w + 6. Solve -2 - 7 = q*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3681 (base 13) in base 15?\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*m**2*n**2 + 28*m**2 + 35*m*n**2 + m*n + 3*m wrt m?\nAnswer: -4*n**2 + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00135794363 rounded to 6 dps?\nAnswer: 0.001358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**2 + x**2 + 2*x**2 + (-2 + 2 + 2*x**2)*(4 - 1 - 5) - 3*x**2 + 5*x**2 + 2*x**2 - 2*x**2 + 0*x**2 - 3*x**2 in the form a*x + b*x**2 + i and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18013 - -18015. Let o(k) = 38*k + 1. Let q(l) = -37*l. Calculate r*o(y) + 3*q(y).\nAnswer: -35*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1694 + -1693.9. What is the nearest to a in 3\/4, -1, -3, 0.029?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -15*c - 79. Let x(w) = -11*w - 77. Let a(s) = 5*m(s) - 4*x(s). What is a(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 7*p + 1. Let w be l(7). Let h be 4\/(w + 5\/15). Suppose 2*b = -h*b + 40. What is the greatest common factor of b and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4449057 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/7*k**2 + 0 - 32\/7*k = 0. Calculate k.\nAnswer: 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -14, 378 in decreasing order.\nAnswer: 378, 4, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*q = 31, 6*s + 53 = s + 2*q. Let g(c) = c**3 + 11*c**2 - c - 8. Let b be g(s). What is the units digit of 12\/(b\/3)*114\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 - 4)*(2*i - 20*i**2 - 6*i**2 - 3*i) to the form g + d*i**2 + b*i and give d.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -4*m + 19 - 15, -5*m = 2*k - 11 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -94\/392895 and -58\/8163485?\nAnswer: 73471365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*y + 38*y - 88*y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11153889*n**4 + 413*n**2 - 45*n + 95?\nAnswer: -267693336*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -41482.638 to the nearest one thousand.\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4191 divided by 2.\nAnswer: 4191\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 12:00 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*o - 2321 = 142*o + 1618 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -17. Let z be 2644\/10 + 6\/d. Is (z\/10)\/((-1)\/(-6)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 775379 is divided by 91.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -325211*h**2\/4 - 325213*h\/4 - 1\/2.\nAnswer: -(h + 1)*(325211*h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65 + -60. Suppose 147 = b*k + 2*k. Calculate the remainder when 40 is divided by k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3062*b - 33674. What is p(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 243*g**3 + 477938*g**2 - 353309176*g - 1.\nAnswer: 1458*g + 955876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) + 3)*-1 + (sqrt(612) + -2 + 0)**2 - -2*((sqrt(612) - (-1 + sqrt(612))*6 - sqrt(612))**2 + (sqrt(612) + sqrt(612) + 1)**2 + 2).\nAnswer: -846*sqrt(17) + 49651","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - 17. Suppose -2*s + 3*o = -o + 1250, d*o - 3097 = 5*s. Let m = -132 - s. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 15 + 3*t)*(4 - 1 - 5)*(t + 2*t - 4*t).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((24\/15)\/((-438)\/365))\/((-52)\/6)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 763\/15 - 2\/(-15). Let c = k + -31. What is the least common multiple of 4 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 220668653?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = j - 3*v, -2*j - 3*v + 10 = 0. Solve 0 = -0*f - j*f + 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 2, -161 in decreasing order.\nAnswer: 3, 2, -5, -161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40 + -24240?\nAnswer: -24320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.019 and -99.645598?\nAnswer: 99.626598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1093106629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-3)\/(-36)*6 - 1)\/((-6)\/13056) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32 - 1141131322?\nAnswer: -1141131404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i + 9. Let x(m) = m**2 - 14*m + 18. Let g be x(12). Determine p(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 643\nAnswer: -1929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22074 is divided by 5517?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 20*a**3 + 20*a**2 - 9*a - 7. Let u(h) = h**3 - 3*h - 3. Calculate -3*u(i) + x(i).\nAnswer: 17*i**3 + 20*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/1482 and -25\/4186?\nAnswer: 238602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11)\/1 + 5 + 21. Calculate the highest common divisor of 5 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261*l**2\/4 + 132*l + 3 = 0. Calculate l.\nAnswer: -2, -2\/87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67444073 is divided by 881.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/2*466\/40775.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4511, 9027, 13543, 18059?\n\"Answer: 4516*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -604*j = -339*j + 170*j + 439*j - 56810 for j.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (219\/6)\/(1\/2) is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.31 and -6377.\nAnswer: -8353.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 5, -6*n + 5*n = c - 2. Let s be (n\/5)\/((-1)\/5). Factor 0 - 2\/13*x**2 - 8\/13*x**s + 0*x.\nAnswer: -2*x**2*(4*x + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, 56, 49, 44, 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 642 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.21 * 14.27.\nAnswer: 2.9967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10\/(-25))\/((-2)\/10). Suppose -7*x + 10 = -h*x. Solve -x*j = -5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-20)\/(-6))\/(5\/10 - 4). Let k = t - -1538\/1659. Is k at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 775258\/2054715 + -97\/257. Let k = a - -84749\/15990. Calculate the common denominator of k and -143\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 52237536 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -152087.20089 + 152069. Let a = 18.2 + o. What is a rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n + 16. Let t be 2\/(-7) - (15\/21 + 5). Let l be g(t). Which is the closest to -3? (a) 1\/5 (b) l (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2588038 is divided by 1842?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1811131087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 47 - 37 = -3*v, 4*v - 81 = -5*u. What is the remainder when v is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001623 rounded to 6 decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2638677 to the power of 1\/3, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 62099640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/494 - 6919\/1482. Let r be 61\/(-18) + 2\/9. Let p = j - r. What is the third smallest value in -3\/4, -1, p?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 55\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - 18. Suppose 0 = 5*i - 5, -3*i + 2 = -4*v - 17. Let f be (-3350)\/((-2 + y)*2\/v). What is f rounded to the nearest one hundred?\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21520 less than -2.378062?\nAnswer: 21517.621938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.77 take away 9.061?\nAnswer: -36.831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.37356 + -0.02644. What is the closest to 0.02 in -5, x, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**4 + 2*u**4 - 3*u**4)*(3*u - 5*u + u) + u**5 + 6*u**5 + 0*u**5.\nAnswer: 6*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o - 7. Let y(u) = -2*u + 15. Let n(s) = 5*l(s) + 3*y(s). Let x(i) = -3*i**2 - 44*i + 15. Let p be x(-15). Determine n(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1746 a factor of 746858484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -326, -688, -1056, -1418, -1762, -2076, -2348?\nAnswer: -2566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -43, 10 in decreasing order.\nAnswer: 10, 1, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n**(-10)\/n*n)))**(1\/19)*(n\/n**(-1\/60))\/(n\/(n\/(n\/n**29*n))) assuming n is positive.\nAnswer: n**(31339\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97056 is divided by 708.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 2*l - 5. Let j be t(4). Suppose -j*v + 76 = v. What is the remainder when 74 is divided by v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 11, 17, 23, 29?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 71*w**2 + 450*w - 25270. Give f(-54).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -32781, -65562, -98349, -131142, -163941?\n\"Answer: -3*a**2 - 32772*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.01 greater than 276?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -108*m**2 + 5*m - 8. Let t(o) = -54*o**2 + 3*o - 4. Calculate -3*f(b) + 5*t(b).\nAnswer: 54*b**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2602\/9 - 282. Calculate the common denominator of v and 59\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225\/(-120) + 2 + (-1238094)\/(-16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -11\/12*a**4 - 17\/60*a**5 + 0*a - 34*a**2 + 0*a**3 + 0. What is the second derivative of v(x) wrt x?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14286\/97 or -148?\nAnswer: -14286\/97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 189002240 - 0.06.\nAnswer: 189002239.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 441 = 3634*v - 3631*v. What is the remainder when v is divided by 103?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -29*g + 151. Let k be b(28). Let t = -6611\/10 - k. Sort t, -4, -3, -4\/23 in increasing order.\nAnswer: -4, -3, -4\/23, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 38\/133 - 24\/(-14). Solve o - 2*n = -c*o - 4, 0 = -n - 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -17*v + 1653. Let f be n(97). What is the highest common factor of 6788 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*x**3 + 4*x**3 - 11*x**3)*(-31*x + 17*x**2 + 53*x - 24*x).\nAnswer: 68*x**5 - 8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17287, 34570, 51853?\nAnswer: 69136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -686.3 - 132.7. Let i = x - -688.9. Let w = i + 124. Round w to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 1111112?\nAnswer: -1111201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29645?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 552*j - 200318. What is d(363)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15992 or -15990?\nAnswer: -15990","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 4:31 PM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 16*k**3 + 29*k**2 + 2*k - 19. Is s(14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -1901*q**2 + 2*q - 4. Let p(n) = -5322817*n**2 + 5601*n - 11202. Calculate -5601*c(k) + 2*p(k).\nAnswer: 1867*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 175 and 527525?\nAnswer: 3692675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - -834776?\nAnswer: 834770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from crrcrr. Give prob of sequence crrc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -202112 (base 3) in base 10?\nAnswer: -554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 429162.\nAnswer: -2\/214581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiii when four letters picked without replacement from ikiiiiki?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -150 - -152. Let t(v) be the first derivative of 2*v**3\/3 + 9*v**2\/2 - 13*v + 3. What are the prime factors of t(k)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -570*t + 278*t + 283*t.\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 7\/4 + 0. Let d be ((-88)\/154)\/(2\/(-7)). Let h = 28 + -33. Sort h, b, d in increasing order.\nAnswer: h, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.9658135 rounded to 2 decimal places?\nAnswer: -3.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(1152) - (1 + sqrt(1152) + sqrt(1152)))*-3 - (sqrt(1152) + 2)*-5))*-5.\nAnswer: -960*sqrt(2) - 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-14 - -15) + 152 + 0\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293*d - 114 = 312*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 27*3163\nAnswer: 85401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 279 (base 14) to base 16\nAnswer: 1f3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.197 and 1034.\nAnswer: 1033.803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(6*(sqrt(77)*1 + sqrt(77)) - (sqrt(77) - (sqrt(77) + -2*sqrt(77)*-2))))\/(sqrt(891)*-4 - sqrt(176)*-3).\nAnswer: 8*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -11. Let a(j) = -j**3 - 4*j**2 - 4*j - 4. Let h be a(-4). Solve 3*q = -u*r + r - 21, 2*r = -q - h for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 + 192*j - 25. Let s(u) = 5*u**2 + 575*u - 71. Calculate -17*h(c) + 6*s(c).\nAnswer: -4*c**2 + 186*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2 = -t - 0, 5*t + 25 = 2*c. Suppose 41 = 3*k + c. Suppose 0 = 4*u - 32 - k. Calculate the remainder when 43 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2, 8, 2\/5 in ascending order.\nAnswer: -6, -2, 2\/5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1281 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 337607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**3 + 79121803632 - 79121803632 - 4*m.\nAnswer: -4*m**3 - 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(sqrt(75)*-3))\/(4*(sqrt(270)\/sqrt(10))\/sqrt(9)).\nAnswer: -sqrt(5)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3046*k**4 - 6*k**2*x - 456*x + 12 wrt k.\nAnswer: -12184*k**3 - 12*k*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/9)\/((-8)\/12). Is -4\/27 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/3 or -14?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13239 - -7524. Is (4\/(-6))\/(6\/z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21169985 is divided by 18017.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 973?\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -340, 1, -23, -14 in increasing order.\nAnswer: -340, -23, -14, -5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10.4 - -10.9. Let j = c + -0.43. What is the second smallest value in -1\/2, j, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 373 - 194. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -n - p - 12, 4*n = 5*p - 13. Suppose 0 = i - 0*i - n*o - 1096, -5*i = -4*o - 5447. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express d - 3 + 4*d**3 + 6075443*d**2 + 3 - 6075447*d**2 + 4*d**4 as o*d**2 + f*d + m*d**3 + w + v*d**4 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 6 = -2*s - 0*d, 5*s + 5*d = 35. Let f = -1 + s. Let l(u) = -4*u. Let o be l(-1). Solve -z = -o*k + 5*k, z = f for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -6. Suppose -f*z = 3*z - 10. Let b(o) = -z*o + 0*o + o. Let l(r) = -r. Calculate b(l(u)).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 817318 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*m**3*r*v - 2*m**3*r + m**3*v - 8*m**3 + 4*r wrt v?\nAnswer: 15*m**3*r + m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -36441433 divided by -36441433?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**2)**31\/(h**19\/(h\/(h*h**(-15))*h)))**(-44) assuming h is positive.\nAnswer: h**(-2596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 11, v: 9}. What is prob of sequence pvvp?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 1690421?\nAnswer: -2\/1690421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -q**4\/24 + q**3\/6 - q**2 + 3*q. Let r(m) be the first derivative of c(m). Find the first derivative of r(p) wrt p.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 613081891?\nAnswer: 359, 599, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1575123 (base 8) in base 7?\nAnswer: 3613143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 7*c - 290 = 0. Let j = -143 + c. Solve 2*h = 2*a, 0 = -a - j*h - 2*h for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*f - 0*f. Suppose f*y - 3*a = 65, 2*y - 11 + 1 = -2*a. Let z(u) = 22 + y*u**2 - 22. Let m(w) = 2*w**2. Determine z(m(h)).\nAnswer: 40*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 384*q - 216. Let u(t) = -t + 1. Calculate -4*d(s) - 864*u(s).\nAnswer: -672*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 24889, 49762, 74635, 99508?\n\"Answer: 24873*r + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 3764?\nAnswer: 3764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 + 395*g**3 + g**2 - 201*g**3 - 193*g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 6578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5157 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + z + 7. Let n be j(0). Let d(h) = 2*h**2 - 3*h. Let v(p) = 6*p**2 - 10*p - 1. What is n*d(l) - 2*v(l)?\nAnswer: 2*l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - n + 1. Let k(h) = h**2. Let i be k(0). Let r be m(i). Let p(z) = 0*z**2 + z**2 + 2*z + 9 - 3*z - 8. Calculate p(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*n**3 + 3*n**3 - 4*n**3.\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -705*k - 76. Let w be o(-4). Suppose w = 5*j - 51021. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**3 - 1354*z**2 + 2677*z**2 - 1343*z**2.\nAnswer: 4*z**3 - 20*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00085736 rounded to 6 dps?\nAnswer: -0.000857","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-50*2\/(-14) - 36\/252)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 30 = 10*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 1.894.\nAnswer: 5.682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/7, -3, 0, 2\/17 in ascending order.\nAnswer: -3, 0, 2\/17, 1\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2513, 9880, 22175, 39410, 61597, 88748?\n\"Answer: 2*j**3 + 2452*j**2 - 3*j + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1848657228?\nAnswer: 2, 3, 11, 14004979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -24 (b) -9\/4 (c) 1\/5 (d) 0.4 (e) -406\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h - 67147 + 188854 = 0. Let y = -7136 + h. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1\/(((p\/(p\/p**1))\/p)\/p*p))**(2\/57) assuming p is positive.\nAnswer: p**(2\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 148300399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -8 - 4. Let p = 10 - g. Suppose 3*l - p*b = -0*b - 2, 2*l - 5*b = -6. Solve 0 = -l*h + 4 + 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684)*2*-2)**2 + (2*sqrt(76)*-2)\/sqrt(4))*5*2.\nAnswer: -40*sqrt(19) + 109440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -0.04677304?\nAnswer: 0.14031912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a - 59. Let k be b(19). What is the third smallest value in -5, -1, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 5*p**3\/3 - 7*p**2\/2 + 7*p + 71. Suppose 0*c + 35 = 5*c. Let n(k) = -2*k**2 + 3*k - 3. Determine c*n(a) + 3*d(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8187247 to the power of 1\/3, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y - 36. Let r be i(-13). Let u be r\/(-148)*(-16)\/24. Sort -3, u, -0.3.\nAnswer: -3, -0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 645922 = 14*j - 399344 - 1252792. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.039922 - -0.039922. Let u = -0.2 - -0.1. What is the closest to f in -0.06, 5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2618351*t**3 - 2097758*t**2?\nAnswer: 15710106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 125 = 14*o - 13*o, 4*c - 518 = -2*o. Let u = -52 + c. Calculate the highest common divisor of u and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.277205 (b) 0.077 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 34*v**2 + 2182419*v - 112793546?\nAnswer: 68*v + 2182419","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4\/5 (b) 4 (c) -14 (d) 2\/357\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 58, -72, -422, -1100, -2214, -3872, -6182?\n\"Answer: -18*s**3 - 2*s**2 + 2*s + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 11773.\nAnswer: 47092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209)\/(sqrt(33)\/sqrt(3)) - sqrt(19)*1*5)*-2)**2.\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 2*p - 4*p - 4*h, 2*h = -2*p + 20. Let r(f) = 4*f**3 + 3*f**2. Let x(y) be the first derivative of y**4 + 4*y**3\/3 - 627. What is p*x(w) - 6*r(w)?\nAnswer: -4*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**2\/6 + 1913833*w\/6 + 3189705 = 0 for w.\nAnswer: -1913823, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 131 and 430466.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from uurur?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 34*i + 37*i = 5, 0 = 2*j - 4*i + 2 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 15042\/20 + -1. Let l = c + -748. Let q = -199\/342 - -10\/19. Calculate the common denominator of q and l.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 49683, 49456, 49227, 48996, 48763, 48528?\n\"Answer: -h**2 - 224*h + 49908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*f + 3*p = -177, -2810*f + 2814*f = 3*p + 21 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 220 - 406. Is (31\/w)\/((-2)\/126708) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1027096 - 87504. What is a rounded to the nearest ten thousand?\nAnswer: -1110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4*p. Let h(b) be the third derivative of -b**4\/6 + b**2 - b. Determine a(h(l)).\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 378365 - 1202*x - 378366 - 1687*x.\nAnswer: -2889*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q**2. Let s(x) = 11*x**2 - 7*x - 110. Let j(a) = -3*a**2 + 2*a + 36. Let y(t) = -7*j(t) - 2*s(t). What is y(k(i))?\nAnswer: -9*i**4 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 512 + 12*c - 512 + 6*c**2 wrt c?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence da when two letters picked without replacement from addddddda.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1664*k**3 - k - k - 802*k**3 + 37*k**3 - 168*k**2 wrt k?\nAnswer: -14574","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p. Let i(c) be the second derivative of 1113*c**3\/2 + 7821*c. Determine h(i(d)).\nAnswer: 6678*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 268811 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.35 to 1 dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*d + 4*t = 21*d + 4, 22 = -3*d + 5*t for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 3*i**2 + 4*i + 4. Let b be q(-3). Let y = b - -12. Suppose 0 = -4*l - y + 108. What is the remainder when l is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 - (-81 + 54 + -20).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -c**3\/3 + 11*c**2\/2 + 5*c + 324. Give k(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, 1, -2\/5, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j**0\/j)\/j**(5\/8))**34)**(-2\/11) assuming j is positive.\nAnswer: j**(-51\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4192 + 4195. Solve 2*w = 3*y - f, 0 = w + y + 3*y - 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**4 - k**2 + k + 1. Let l(t) = 21*t**4 + 5*t**2 - 5*t - 4. Let g(c) = 5*h(c) + l(c). What is the derivative of g(n) wrt n?\nAnswer: 104*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 12*s + 9. Give n(7).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -8, 50, -4, 2 in decreasing order.\nAnswer: 50, 2, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 + 40.1. Let w = -21.1 + p. Which is the closest to 0.1? (a) 0.4 (b) w (c) -3 (d) 0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -24. Let r(h) = -3*h. Let x be r(-4). Suppose -5*m + m - x = 0. Is m != d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7579*d**6*y**3 + 16374*d**2*y**3 - 2*d*y**3 wrt d.\nAnswer: 909480*d**3*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48309 and 186?\nAnswer: 2995158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -318 by -2.\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 250*j - 7811. What is o(-28)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 477*v - 279*v + 13.\nAnswer: 198*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/4 - 0)\/(2\/6326) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-6))\/(k\/(k\/k**(-2\/15))))**(8\/7) assuming k is positive.\nAnswer: k**(856\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by -12.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*a + 165 - 25 = -164 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13071*d + 13072*d - 4*b = 16, -3*d + 6 = 2*b for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -2\/3 (c) -2\/7 (d) -3 (e) -0.069 (f) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1749 - 5246\/3. Factor 2\/3*s**2 + 0 + 0*s - u*s**4 + 1\/3*s**3.\nAnswer: -s**2*(s - 2)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10790 divided by -19\nAnswer: -10790\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**(-5)*j*j*j*j\/((j\/j**(-22))\/j*j)*j*j*j assuming j is positive.\nAnswer: j**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -222 (base 3) to base 13\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 217*x - 213*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 420 and 54?\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2617025*-5.\nAnswer: -13085125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 + 9\/15 + 6\/(-10). Suppose -6*v = u*v - 2040. What are the prime factors of v?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 89 = -87. Suppose -52*j + n = -48*j. Let y be ((-3)\/(-2))\/(j\/(-110)) + -3. Does y = -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ny when two letters picked without replacement from lnly?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-2 + 4) - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**2 + 19099*n\/3 + 12734\/3 = 0.\nAnswer: -2\/3, 6367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (0 + sqrt(32))*5 + 5 + sqrt(98) + 4)*-6.\nAnswer: -162*sqrt(2) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/3 in 5, 4, -5, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -8*(-1)\/6*3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -85*s + 49*s - 2 + 51*s to z + d*s and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -19*h**5 - 287*h**3\/3 + 38. What is the third derivative of s(t) wrt t?\nAnswer: -2280*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 891, 1783, 2663, 3525, 4363?\nAnswer: 5171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 l when three letters picked without replacement from lllggaglaaggg?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0.2, 5, -0.21, -291, 6\/7, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 40*x + 1 - x**2 + 48*x - 87*x. Let i(n) = 3*n**2 - 2*n - 3. Determine 4*i(v) + 11*o(v).\nAnswer: v**2 + 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1914152, 1914147, 1914142, 1914137?\nAnswer: 1914132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: Let h(k) = -2*k + 4. Let a(n) be the first derivative of -n**2 + 5*n - 8. Give -5*a(x) + 6*h(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - 1) + 10 + 9 + 1 - -7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and -33667570.\nAnswer: -33667569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 11 = -5*d + 14, -u = d + 2. Suppose 0 = 3*k + 2*w - 2, 1 = -3*k + 5*w - 4. Let x = k + d. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*h + 2130 - 30077 - 22495 = 1376*h for h.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7280 + 7282. Let w = 444 + -193. Suppose 102 = u + 3*d, -n*d = 2*u - 5*u + w. What are the prime factors of u?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6\/107 (b) 16 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 627190 or 627162?\nAnswer: 627190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7144478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 3*j**2 - 3*j + 1. Let h be 44\/8 + 3\/6. Let x = 9 - h. Give t(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/14)\/(-20*(-25)\/(-3500))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k - 7 + 8 + 8 + 5. Let b(a) = a - 5. Determine 8*b(v) + 3*t(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136701 divided by -1647.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**2. Suppose 3*k + 3*k = 36. Suppose -2*y + 6 = -0. Let c(t) = -y*t**2 - k*t**2 + 7*t**2. Determine r(c(i)).\nAnswer: 12*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 162*g**3 + 1 + 184*g**3.\nAnswer: 22*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (235*y**2 - 164*y**2 + 640*y**2)*(-12*y + 14*y - 8*y) as r*y + j + a*y**2 + k*y**3 and give k.\nAnswer: -4266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19 - 1b?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*4*((1*sqrt(2299) + -3)*5 + ((sqrt(209)*-1 - sqrt(209) - sqrt(209))*1)\/sqrt(11)*1))**2.\nAnswer: -898560*sqrt(19) + 29722176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 5:54 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -415 - 2*w - 427 + w**2 + 797. What is the remainder when 47 is divided by d(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238157555 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -36806 (base 13) to base 4\nAnswer: -120131333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 bigger than 10\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + -4*-1*sqrt(156))*3)\/(((sqrt(132) - -4*-2*sqrt(132)) + sqrt(132))\/sqrt(11)).\nAnswer: -5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -3. Let l be 2*-2*(0 + q). Suppose 0 = 5*h - 91 + 11. Calculate the greatest common factor of l and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d*d\/d**(-17)*d))\/(((d*d**28\/d)\/d)\/d)*(d*d**(-26))\/d*d\/((d\/(d**21\/d*d)*d)\/d) assuming d is positive.\nAnswer: d**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/(-27) - ((14 - 13) + 6725\/(-4662)). What is the nearest to i in 1, 0.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 722247145 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1747644 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44315, -7, 2, -1.\nAnswer: -44315, -7, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -758 - 2485. Let f = g - -4742. List the prime factors of f.\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*x - 3*x. What is the second derivative of -2*f - x*f + 3*f + 2*f + 5*f**5 wrt f?\nAnswer: 100*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36943, 36953, 36977, 37021, 37091, 37193?\nAnswer: 37333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y - 9*y - 5 = 5*a, y - 2*a + 1 = 0. Suppose -3 = -5*o + 17. Find the second derivative of -3459*d**3 + 3459*d**y + 23*d**o - 13*d wrt d.\nAnswer: 276*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 36. Let n = -18 + l. Is n a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/3)*o)\/o*o*o\/(o\/(o*o**(-6))*o)*o**(-2\/7)\/(o\/(o\/o**6*o)))**(5\/6) assuming o is positive.\nAnswer: o**(-1115\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 7*x. Let f(o) = -o**2 + 5*o + 9. Let g be f(5). Let p(c) = -19 + 10 - c + g. Give p(q(r)).\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -314*s + 533*s = 1730*s + 157144 for s.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 - 2*b**2 + 10*b**2)*(-22 - 13 - 3).\nAnswer: -304*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 230*d**2 - d. Let q be h(-1). Let m = 442 + -232. Suppose -3*x = 7*x - m. Calculate the greatest common factor of q and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/3 + (-2)\/42*-7. Let h(w) be the third derivative of o + 3*w**2 + 0*w - 1\/12*w**4 + 1\/6*w**3. What is the derivative of h(j) wrt j?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3a + 4?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20914 or 942?\nAnswer: 942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000430471 rounded to seven decimal places?\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51.91984l?\nAnswer: 51919.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -3*n - f, 4*f = 3*n - 867 + 838 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 72269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(13\/288) + 2 + 10\/65.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.097, 5, -2.9, 15, -3\/5, 0?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 8) in base 14?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 84369 - 8436753\/100. Let i = q + -18\/25. Suppose 0 = -2*z - 2*z + 16. Which is the biggest value? (a) -1 (b) z (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.07 + -0.07. Let h = -226 - -903\/4. Which is the closest to h? (a) 0.3 (b) g (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*6.21\nAnswer: -24.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 403366 - -304?\nAnswer: 404003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 5*s. Let l(a) = -502*a - 552*a + 4*a**2 + 1058*a. Suppose 4*k - k + 27 = 0. Let f(u) = -7*u**2 - 9*u. Let m(i) = k*l(i) - 4*f(i). What is m(t(j))?\nAnswer: -200*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 927613.9 millimeters in kilometers?\nAnswer: 0.9276139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 403058 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 h when two letters picked without replacement from {e: 2, s: 1, d: 1, h: 2, k: 2, o: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = q - 23, 4*q + 6*h = 3*h. Solve -k + 2*t - 4*t = 4, -5*k + 32 = -q*t for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of i**7\/42 + i**6\/4 + 2*i**5\/3 - 5*i**4\/4 - 15*i**3\/2 + 6*i**2 + 3*i. Suppose s(h) = 0. Calculate h.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204*y + 203*y = -26. What is the highest common factor of 10 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -96*g + g**2 - 5 - 94*g + 289*g - 95*g. Suppose 0 = 3*x + x + 3*f + 11, 0 = 5*f - 15. Calculate w(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 3*z + 34. Find the common denominator of ((-35)\/18)\/(-1) + 2 and (3 - z)*195\/(-81).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 96904081?\nAnswer: 96904081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -434b9 (base 14) to base 6.\nAnswer: -3253523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 920 - ((-6)\/(-6) + -4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 10:19 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 45*k + 65 - 181 - 109 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 1 = 71. Suppose -2*a - n = -5*a. Let c = 24 + -16. Calculate the least common multiple of c and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219740.0172 - -132118?\nAnswer: 351858.0172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16707 + -16703. Let f = 0.3 - -0.2. Let r = f + 0.5. Which is the closest to -1? (a) 0.5 (b) z (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 355, 498, 245, -602, -2241?\n\"Answer: -33*b**3 + 374*b + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-3)*45\/60?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -0*c - 22800. Suppose 3*u = 5*u - 5*f - c, -5*f = 4*u - 22800. What is u rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 752 and 376?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/3, 8, 2, -27?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11297982\/(-6) + 3 + -5 + -1. What is i rounded to the nearest ten thousand?\nAnswer: -1880000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.32 - -6.32. Put -34, i, 4 in decreasing order.\nAnswer: 4, i, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (810\/80)\/(-9)*(-9)\/(18\/(-8)).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -f**4\/24 + 11*f**3\/3 - 11*f**2. What is h(0)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14524 = -219*l + 221*l. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 3*q = 138, 397*q - 605 = 14*t + 396*q for t.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 345 + -545. Let o = -33 - k. Is o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5943, 23746, 53421, 94986, 148459, 213858?\nAnswer: 291201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -180 divided by -2?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*n = 3*s + 278, -2*s = -n + 566. Let h = s + 286. Sort h, 9, -7.\nAnswer: -7, h, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.11 - 0.09. Let i = -2100\/11 - -1159189\/6072. Let m = i + 125\/1288. Which is the nearest to j? (a) -5 (b) -0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x - 2. Let o be (-102)\/(-9) - (-2)\/(-6). Let y(h) = h**2 - 4 + 6*h + o + 4. Let s(a) = -11*w(a) - 2*y(a). Find the second derivative of s(d) wrt d.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 745966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22767 - -10634. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -19*p + 6. Let m(s) = -6*s + 2. Let j = -32364 + 32360. What is j*n(h) + 11*m(h)?\nAnswer: 10*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 + -19. Let m = -1794 - -1803. Calculate the smallest common multiple of b and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 5*h**2 + 3*h - 5. Suppose j = -4*j. Let v = j + 5. Calculate the remainder when 28 is divided by q(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -15*a**4\/2 + 98*a**3\/3 - 28*a**2 - 40*a - 2841. Determine s so that n(s) = 0.\nAnswer: -2\/5, 5\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Let v(q) be the second derivative of -q**3\/6 + 3*q. Let y(b) = -b - 11. Let f(h) = 4. Let c(o) = -11*f(o) - 4*y(o). What is c(v(u))?\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.6 + -1.59982. What is a rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**4\/12 + 4*a**3\/3 + 8*a**2 - 12*a. Let n be w(-6). Solve -g - 3*d = 10, -2*g - n*d - 26 = -7*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1222*h**2 + 2424*h**2 + 28 - 1226*h**2 to l + g*h + y*h**2 and give l.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u + 5. Let z = -12 + 22. Let w be 1\/22*70 - z\/55. Let x be (-18)\/w*(-4)\/(-6). Give q(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/81070 and -139\/1689160.\nAnswer: 113173720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 534 is divided by 55?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 95553\/98 - 975. Find the common denominator of h and -41\/70.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-18)\/15)\/((-12)\/40). Find the second derivative of 0*f + f**c + f - 3*f**4 + 3*f**4 wrt f.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1916801 - -0.145.\nAnswer: 1916801.145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 8*n - 2. Let j(b) = -7*b + 2. Let v(x) = x - 1. Let d(t) = -j(t) - 4*v(t). Let f be d(-2). Give r(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61530882?\nAnswer: 2, 3, 7, 1465021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -4941*n**4\/4 + 737*n + 4571. Differentiate o(f) with respect to f.\nAnswer: -14823*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 106 (base 7) to base 10.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(-6)\/(-12)*-1. Suppose 9*b - 35829 - 29412 = s. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 6 = -4*g. Let m be 518*g\/8 + 3. Let r = -41 + m. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 199 + -163. Calculate the greatest common divisor of 48 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**5 - 13836*t**4 - 45867510*t**3 + 13779283856*t**2 - 963112926633*t - 4075852227876 = 0. Calculate t.\nAnswer: -7059, -4, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 3*p**2 + 6*p - 3. Let i be y(4). Let w = 232 - i. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50 + 52. What is the third derivative of 5*q**5 - 11*q**x + 5*q**5 - 5*q**2 wrt q?\nAnswer: 600*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38768477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.391 or -3?\nAnswer: 1.391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2414042333.\nAnswer: 2414042333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2335 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -247768 by -123884.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3050 - -3116. What is the closest to -1\/4 in 1, -0.01, j?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1606.3 to the nearest ten.\nAnswer: -1610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((12\/(-10))\/((-9)\/10))\/((-538)\/(-9376533)). Round d to the nearest one hundred.\nAnswer: 23200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(153)*-5 + 0 + (sqrt(17) + 0)**2 + (-2*sqrt(2057) + sqrt(17) + sqrt(34)\/(sqrt(6)\/sqrt(3)) + sqrt(17))**2.\nAnswer: -15*sqrt(17) + 6155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297 is divided by 80.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 = 5457*h - 5472*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m**2*v**2 - 2*m**2*v*w - 6416*m*v**2*w - m*v**2 - 9614*m*v - 1 wrt w.\nAnswer: -2*m**2*v - 6416*m*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 3)*-8*(-4)\/8. Solve 4*x = 5*k + x + 22, m*x = 3*k + 22 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k**2 - 17*k + 16. Give f(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30805?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + (-1 - -4 - -104) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2*sqrt(152) + sqrt(152))*3)\/(-5*(sqrt(24) - 3*sqrt(24))\/sqrt(3))*5.\nAnswer: -3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, p: 2}. What is prob of picking 4 x?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 395204?\nAnswer: 5\/395204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64)\/(-1*14*5\/(-14)).\nAnswer: -64\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/((-5)\/(-26)))\/1. Suppose 5*g = 6*g - z. Does 21 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 1434478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.118 + 0.118. Which is the fourth smallest value? (a) -2 (b) o (c) -3 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.11 and -1.2.\nAnswer: -0.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 291*k**3 - 5*k**4 - 37 - 292*k**3 - 122*k**2 + 121*k**2 - 8*k + 7*k in the form r*k**4 + q*k**3 + u*k**2 + f + d*k and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 + 50. Solve 5*d + p - n = 0, -3*d - 5*p = -p - 21 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 + 47 - (11 - (3 - 2))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -19.20536 and -0.2.\nAnswer: -19.40536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -124023421204?\nAnswer: 124023421211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44274.22ng to kilograms.\nAnswer: 0.00000004427422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-91)\/7553 + (-80410)\/1411.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 94414, 94350, 94286, 94222?\n\"Answer: -64*t + 94478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1732577, -1732573, -1732567, -1732559, -1732549?\n\"Answer: s**2 + s - 1732579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 - f**2 + 2*f**3)*(-6*f - 5*f + 4*f) - 6*f**4 + 11*f**2 - 4*f**2 - f**2.\nAnswer: -20*f**4 + 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kq when two letters picked without replacement from glqkt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36201.\nAnswer: 3, 11, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/1512 and 109\/1080.\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1168 - 574 - 593 + 758*a + 762*a to q + t*a and give t.\nAnswer: 1520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -3*d**4\/8 - d**3\/3 - 2*d**2. Let r(m) = 5*m + 1. Let z(b) = -4*g(b) - 9*r(b). Does 4 divide z(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 0*l - 3 = -y, 21 = 4*y + 5*l for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**2\/19 + 306*a\/19 - 620\/19 = 0.\nAnswer: -155, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n - 3*n + 2*n)*(26*n**3 + 944*n - 959*n + 2*n**3) to o + f*n + b*n**2 + g*n**4 + u*n**3 and give g.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 3:20 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -9*f + 2. Let l be n(-2). Find the first derivative of k**2 - 13 + l + 6*k**2 wrt k.\nAnswer: 14*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**4 - 3*b**3 - 2*b**4 - b**4 + 0*b**4 + b**4 - 3*b**4 + (-5*b + 2*b + 2*b)*(0 + 0 + b**3).\nAnswer: -2*b**4 - 3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 5713292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*f + 80*f - 1257000 = 0. What is f rounded to the nearest ten thousand?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/5*2790\/1302. What is the greatest common factor of 1038 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 3*x - 63, -2*s = 3*s. Calculate the remainder when 104 is divided by x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6592 and 2468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -7*q - 419. What is g(-62)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(((-12)\/(-16))\/(2\/8)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 9*y - 216. Let z be i(24). Solve 5*h - s = 6*h, z = -h + 2*s + 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142\/3053 + 9\/(4644\/23712)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 392 and 4904?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = b - 6, 0 = 2*b - 230*o + 220*o - 4 + 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l**2 - 9*l + 9. Let n = 15 + -10. Let u be p(n). Suppose -2*q + 0 + 36 = -4*r, 0 = -4*r - 20. Calculate the greatest common divisor of u and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14074898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.07 + -5. Suppose 0 = 2*i + 379 - 343. Let j be 4\/(-6)*i\/(-24). Which is the second smallest value? (a) j (b) -4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7744 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 0 + 0 + 25*p - 26*p. What is the lowest common multiple of w(-12) and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 165 + -158. Let k = -70 - -98. What is the highest common factor of k and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 9*k - 9. Let w(z) = 2*z - 2. Let p(b) = -6*c(b) + 26*w(b). Suppose q = -o + 2, -5*q + 13 = 3*o + 3. Suppose -2*j = q*j + 8. Determine p(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t**3 - 8*t**2 - 5*t + 13. Let h(w) = 7*w**3 + 16*w**2 + 11*w - 26. Let p(f) = 3*h(f) + 5*s(f). What is the remainder when 20 is divided by p(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 701.4895 litres to millilitres.\nAnswer: 701489.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, f: 2, p: 1}. Give prob of sequence ccp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -1\/30*d**5 - 1\/24*d**4 + 0*d + 0*d**3 + 0 - 3*d**2. Let b(u) = -3*u + 4*u**2 - 3*u**2 - 6*u**2. Determine 4*b(k) - 11*j(k).\nAnswer: 2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 787 and 4.\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.387 + 8.613. Do 0 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 995.\nAnswer: 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.268 - -0.668. Let y = 3 + -3. Let p = 5 + y. Which is the nearest to -2\/3? (a) p (b) v (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14.4 - 62.6. Let t = -69.9 - w. Let b = 7.099934 - t. What is b rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 41240627?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 2*h - 16. Let g be r(0). Let l = g + 18. Suppose -4 - 8 = 3*w, 0 = l*q - 5*w - 24. Solve -q = 2*c - 4*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -123*t - 1632. Determine p(-35).\nAnswer: 2673","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**3 - 46*q**2 - 2271*q + 22706. Determine f(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -1. Let y = 3 + r. Is 584\/6 - 1\/y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2490 and 44021955.\nAnswer: 1245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*k + 4946 = 24966. Let z be (k\/(-21))\/22*(-1 + -2). Solve -3*r + r = -2*l + 4, 5*r - 40 = -z*l for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 0.4 (b) 5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -95*o + 139*o - 86*o to g + n*o and give n.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3084*d - 252 = 3077*d. Calculate the least common multiple of d and 234.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**4 - 6*q**3 + 10*q. Let f(j) = j**3 - j. Let b(m) = 6*f(m) + v(m). Find the second derivative of b(k) wrt k.\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-3 + 10 + -3 + 2) - (488 - 470).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*l - 8*l + 120*l.\nAnswer: 72*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hb when two letters picked without replacement from {b: 7, h: 5}.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25338)\/2472 - (-1 + 8*-1).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.052 + -330.64?\nAnswer: -330.692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -15*q**3 + q - 1. Determine p(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 5*v**2 - v + 5. Let p be r(4). Suppose 0 = -2*b + p - 17. Round b to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -495 - -495. Solve w = -4*o - 4*g + 16, -13 = -o + 2*g - 6 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10990 or -10979?\nAnswer: -10990","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1416 divide 119347708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 33127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 15*h - 157. Calculate l(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -20. Let r = t + 2. Let m be (-22)\/14 - (-1)\/1. Which is the second biggest value? (a) 0.4 (b) m (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 2 = -4*t - 16, 0 = 5*t - 4*o + 30 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12*-1*(-1)\/(4\/4). Suppose 4*k + 2*z = -26, -3*z + 7*z - a = 0. Let s(b) = -2*b + 8. Does 5 divide s(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 219, 442, 689, 972, 1303, 1694, 2157, 2704?\nAnswer: 3347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 76, 329, 750, 1339, 2096, 3021, 4114?\n\"Answer: 84*m**2 + m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 29*m**2 - 30*m - 16. Calculate o(-28).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 232, 227, 228, 241, 272, 327?\nAnswer: 412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - q + 0*q)*((3*q**2 - 3*q**2 - q**3)*(-1 + 3 + 0) - 2*q**3 + 2*q**3 + q**3).\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 510\/65 - (-4)\/26. Let f(h) = 2*h**2 - 1. Let a be f(1). Suppose -y = -5*y + 12. Solve -b = y*u + a for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d - 2 = 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -5. Let b = t + -3. Let q = b - 1. Put q, -5, -4\/3 in decreasing order.\nAnswer: -4\/3, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 35 = -8. Let n = t - 33. Suppose 2*z = -2 + n. Solve -4*b - 2*m = -8, 0*m + 4*m = -z*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 + 3*s)*(0*s - s**3 + 0*s) as f*s**2 + i*s**4 + d*s + j + p*s**3 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273 is divided by 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t**2 + 16*t**2 - 4*t**2 - 2*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**2 + 2*w**2 - w**2 + (10*w - 12 + 12)*(-17*w - 39*w + 19*w).\nAnswer: -371*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2646012.9 months to centuries.\nAnswer: 2205.01075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (69\/12 - 6)*28\/7. Which is the biggest value? (a) o (b) -0.1 (c) -9\/40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 115 + -80. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75679.32*5\nAnswer: -378396.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34.5371 - 34.0371. Suppose 0 = -0*q - q - 3. What is the closest to 0.1 in 0.41, f, q?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 divided by 34\nAnswer: 29\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 112 = -5*b. Suppose -o - b = -77. What is the remainder when o is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -10*s + 19. Let f(l) = 19*l - 42. Let z(d) = 4*f(d) + 9*g(d). What is z(3)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 10 = 4*l. Suppose -a - l*x = -3, a + 0*x - 3*x = 18. What is the remainder when 15 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of o**6\/72 + o**5\/8 + 10*o**3\/3 - 5*o**2. Let g(m) be the first derivative of a(m). Factor g(c).\nAnswer: 5*c*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -40*t - 679. Give c(-20).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 28*u = 23*u - 55, -25*a + 8*u + 12 + 112 = -21*a + 8 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 10688*y**2 - 200*y + 789. Is p(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 10*u - 3*r - 5215 = 0, 2*u = -r + 10416. Calculate the remainder when u is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*z. Suppose 4 = u - z. Suppose -b + 5*b - 8 = 0. Solve m + u = b*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8015 and 3754455.\nAnswer: 1145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 135978.8 rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 228*h**2 + 6*h - 10. Let v(r) = r - 2124. Give v(q(s)).\nAnswer: 228*s**2 + 6*s - 2134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-6)*0\/2. Let g(z) = -z**2 - 6*z + 3. Let k be g(-7). Which is the smallest value? (a) q (b) -0.5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) -2 (b) 0.1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -567*d + 286*d + 259*d. Let y(o) = 30*o. Give l(y(k)).\nAnswer: -660*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (28\/16)\/(-6*77\/(-6864))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from noniuwwuuu. Give prob of picking 1 i and 2 w.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 10 = 6*d. Suppose -2*j = -9 + d. Suppose 3*o - 167 + j = 0. List the prime factors of o.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 14 = 2*r + 28 - 70, -5*j = 2*r + 53 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, u: 1, i: 2, p: 1, w: 1, d: 5}. What is prob of sequence dgd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {x: 2, p: 3, j: 2, a: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1 + (-3 + 1 + 3)*(-5 + 3 + 1) - 1 + 0 + 0)*(-2*k + 0 + 0)*(2*k + 4*k - 4 - 7*k) + k**2 + 5*k - 5*k.\nAnswer: -7*k**2 - 32*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1884309 divided by -3\nAnswer: 628103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 2*z**2 - z + 3. Let f be 96\/112 - (-6)\/(-7). Determine y(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**3 - 2. Let g(f) = -11*f**3 - 18*f**2 + 7*f - 10. Suppose 76*k = 83*k + 21. Let c(t) = k*g(t) + 24*x(t). Let c(z) = 0. What is z?\nAnswer: -2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92420289 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f - 20. Let x be (-49)\/(-7)*(-24)\/14 - 3. Calculate the remainder when 68 is divided by r(x).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -46*z**5\/5 - 131*z**4\/4 - 284*z. Find the third derivative of p(b) wrt b.\nAnswer: -1104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide ((-215)\/(-35) - 1)*70\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 2*v + 10, 2*v - 1 = -q - 3. Let m(y) = 4*y**3 + 2*y - 4. Let t(i) = i**3 + i**2 + i. Let b(x) = m(x) - 3*t(x). What is b(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -70 and 33.80289.\nAnswer: -2366.2023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 80*c**4 + 157844*c**3 - 150028*c**2 - 7896*c = 0?\nAnswer: -1974, -1\/20, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 r when two letters picked without replacement from urlkn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4424 = -6*w + 1713 + 1621. Calculate the remainder when w is divided by 42.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -14\/5*q**2 + 0 + 4\/5*q**3 + 2\/5*q**4 + 8\/5*q = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/15)\/(1\/(-100)). Calculate the lowest common multiple of (-657336)\/(-14274) + (-4)\/78 and (t\/(-12))\/((-1)\/(-3)).\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**5\/7 + 36*i**4\/7 + 52*i**3 - 2244*i**2\/7 + 2808*i\/7 = 0. Calculate i.\nAnswer: -9, 0, 2, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - (-194434)\/8 - (-13)\/(2808\/(-54)) a multiple of 182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3202*4.\nAnswer: -12808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a meter in centimeters?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2192 = 4*a - 2260. Let h be -2 + (-3 - -21) + (-34)\/a. Solve 0 = 10*s - 6 - h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/5 - (-3)\/(180\/44). Suppose 0 = -0*w + 4*w - 4. Put -1\/4, h, w in ascending order.\nAnswer: -1\/4, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**2\/8 - 45*f\/2 + 2025\/2 = 0. What is f?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -f + 4, -h + 0*h - 4 = 3*f for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5935399 to the power of 1\/3, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*s - 2*s**3 - 3*s)*(34*s + 65*s - 6*s + 7*s) to j + u*s**4 + i*s + l*s**2 + n*s**3 and give u.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-1\/2))\/a)**(-1\/4)\/(a**(2\/11)\/(a**(-3)\/a*a))*((((a\/a**0)\/a)\/a)\/a**(2\/41))**(-49) assuming a is positive.\nAnswer: a**(173485\/3608)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w + 1. Suppose 5*x - 15 = 5*y, 2*x = -0*x - y. Let i be 2 + x + -4 + 1. What is b(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w + 2. Let k be x(-2). Suppose 9 = -k*q + 3*q. Let l = 6 - q. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 1064*p - 17 = -1067*p, -4*p = 3*a - 19 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60451.48l to millilitres.\nAnswer: 60451480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 5*k - 220. Give x(23).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160548?\nAnswer: 2, 3, 17, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (13 + -15)*1143\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4543 by -7870.\nAnswer: -4543\/7870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, e: 5, n: 4}. Give prob of sequence nne.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/325, -2\/9, 16.\nAnswer: -2\/9, 6\/325, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1058839316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 p when four letters picked without replacement from {f: 2, j: 1, p: 2, k: 1, u: 4, i: 2}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 55 = -17*g. What is the remainder when 13 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 15 = -5*g, -3*g + 3 = -3*a - 4*g for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 6*q + 1. Let z(h) be the first derivative of 21*h**2\/2 + 3*h + 1054. What is 18*k(n) - 5*z(n)?\nAnswer: 3*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/7))**(2\/15)*x**(-3\/17)*x**24 assuming x is positive.\nAnswer: x**(14141\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 7380035.24 to the nearest one hundred.\nAnswer: 7380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.6*-1732076.\nAnswer: 7967549.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2 - 77*a - 213. What is the hundreds digit of w(-29)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18406 - 18420. Put 2, -3, 13, f in decreasing order.\nAnswer: 13, 2, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5568 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 367?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2995 and 50?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43838, -87596, -131354?\nAnswer: -175112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5129314.\nAnswer: 2, 2564657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11172361, -11172375, -11172389?\n\"Answer: -14*r - 11172347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 3\/4, -21.29, 3, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 73 - 74 = -3*p, -4*r = 3*p - 25. Which is the fourth biggest value? (a) p (b) 1\/2 (c) 0.21 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*-2*sqrt(1764))\/(sqrt(972) - 5*-2*sqrt(972)).\nAnswer: -14*sqrt(3)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*x = 35, 1343*t - 1347*t - 4*x = 0. Sort 20, 4, 5, 2, t.\nAnswer: t, 2, 4, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3261784512 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 53*p - 56*p + 115720, -p - 5*u + 38569 = 0. Is 44 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-26) + 323\/13. Let o be (38 - -1)\/3 - 3. Calculate the highest common factor of o and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54924 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*z - 2*z**3 - 960539 - 14*z**2 + 960539 + 43*z + 41*z**2.\nAnswer: -2*z**3 + 27*z**2 + 63*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 1110*r + 74. Let d(o) = 74*o + 5. What is -74*d(l) + 5*k(l)?\nAnswer: 74*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 40 - 42 - 5*y as b*y + o and give o.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1826433579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**4\/4 - 1059*b**3\/4 + 16713*b**2\/4 - 26033*b\/4 - 21903\/2 = 0.\nAnswer: -1, 3, 14, 1043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 849 = -5*i + 417, 5*i = -a + 1272. What are the prime factors of i?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -33*m**7\/7 - 2*m**6\/3 + m**3\/3 + 7*m**2\/2 + 124. What is the third derivative of f(u) wrt u?\nAnswer: -3960*u**3 - 240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.3 (b) -369 (c) -4.8 (d) 0 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191, -378, -567, -758, -951, -1146, -1343?\nAnswer: -1542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.8 and -0.77.\nAnswer: -0.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)*1*-2)\/sqrt(4) - ((sqrt(3) + sqrt(3) + sqrt(3) + -1)**2*3 - sqrt(3) - (sqrt(24)\/(sqrt(16)\/sqrt(2)))**2).\nAnswer: -81 + 17*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and (8\/(-5))\/(6\/(-30))?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272 = -519*w + 247*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nhh when three letters picked without replacement from {n: 7, j: 5, h: 2}?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 82579\/(-1974) + (-18 - -61)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*k**4 + k + 0*k**2 - 3*k**2 + 3*k + 2*k**2 + 0*k**2 - 2 as j*k**2 + u + r*k**3 + s*k + x*k**4 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*4855.21.\nAnswer: 971.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 142800 to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -41 + 7418745?\nAnswer: 7418704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 n when three letters picked without replacement from {n: 3, w: 6, l: 1, t: 3, i: 1, z: 6}?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*b**2 + 157*b**2 + 148*b**2)*(-70*b - 15*b**2 + 70*b) in the form k*b**3 + f*b**4 + d*b + u + a*b**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -x**4 + 68*x**3\/3 + 36*x**2 + 109. Let m(h) = 0. What is h?\nAnswer: -1, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/13 and 0.37189 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*n + 3815 - 3815.\nAnswer: 26*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131, 165, 257, 437, 735, 1181?\nAnswer: 1805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0*b = 0. Let y = 32820\/2639 + -3\/377. Let v = -12 + y. Which is smaller: v or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003604616 rounded to 6 decimal places?\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1843, -1846, -1849?\n\"Answer: -3*a - 1840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1349?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 + 3 + 0)*(-4*x + 6*x + 7*x) in the form b + d*x and give d.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 2*c - 32, -4*o - 4*c - 3 + 151 = 0. What is the remainder when 83 is divided by o?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1557853 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -228.3? (a) 0.4 (b) -0.4 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000000010101011 + 100?\nAnswer: 1000000010101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a + 80*a + 135*a = 60*a - 6670 for a.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-2)*((-46)\/(-12) + (-2)\/4). Sort d, -1, 1, -9 in descending order.\nAnswer: d, 1, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 + 0 - 9) + -9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -5 (b) -4 (c) 7\/3 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1019 + (-6)\/(2 - -1). Let i(j) = -j**3 + 5*j**2 - 2*j - 5. Let u be i(4). Is (-2)\/u*g\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*r - 13, 4*m - 23 = 5*r - 4*r. What is the remainder when (42\/(-4))\/((-6)\/16) is divided by 17 + (m + -1)\/(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3135 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 5*p + 7. Let r = -923 - -925. What is the least common multiple of r and m(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 3*u**2 + 4*u - 223. Calculate r(0).\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -24895*t - 3983384. Determine i(-160).\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -36?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94795 = -5*n - 380205. Round n to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 361527?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000230592 rounded to six decimal places?\nAnswer: 0.000231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -7*t**2. Let y(n) be the second derivative of -n**4\/6 + 30*n - 1. Give v(y(l)).\nAnswer: -28*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c**3 + 2127*c**2 - 152606*c + 1266. Calculate h(628).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 + 47. Solve 3*d - 4*d + 6 = o, -d - q = -4*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2939386 months in centuries?\nAnswer: 0.0019116155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -14*t. Suppose t = 2*l - 6 - 2. Solve -l*q = -16, b + 3*b + 16 = 5*q for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v + 1. Suppose 6 = 2*i - 8. Suppose -3*k - 3 = -5*k + x, 5*x = -k + i. Let m(l) = -4*l + 1 + 3*l - 2. Calculate k*y(n) + m(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -5, -2, 1 in decreasing order.\nAnswer: 17, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-5))\/(28\/10). Which is the nearest to -1? (a) v (b) 0.3 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 18 + 72. Is l a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -2*w**4 - 1\/3*w**3 + 0*w**2 + w + 166. Give v(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 1 = b, -7*b = 4*k + 3*b - 9*b - 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -934 - -6540\/7. Let s = -0.03 - 1.97. Is s != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 16*z**3\/3 - z**2 - z + 1. What is the remainder when q(-1) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3403 is divided by 106?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 48 + 92 = 0. What is the remainder when 239 is divided by c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**2 - 2*m**3 + 7*m**4 - 8*m**4 + m - 2*m**3 in the form w + a*m**3 + j*m + g*m**2 + i*m**4 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 10 = -0*t. Suppose -q + 22 = h, t*q + 4*h + 32 = 4*q. Let p be (-5)\/q*2*0. Solve 0 = -b - 2*b + 9, 5*a + 3*b + 6 = p for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 12, 4*q = -8*s + 3*s + 16. Let u(w) = -15*w + s*w**2 + 9*w + w**2. What is u(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.41 - -1.51. Suppose 10 = -9*v + 4*v. What is the third smallest value in v, -12, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -124.2 - -124.1. What is the second smallest value in 111, 0.3, u, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*p**2 + 41*p**2 + 28*p**2.\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 28, -5, -32, 5 in descending order.\nAnswer: 28, 5, 4, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*z - 50*z + 38*z + 51680 = 0. Which is smaller: 764 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -284322 (base 11) in base 4?\nAnswer: -1230220031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*p**4 - 2*p**3*r**2 + 74*p**2 + 67*p*r**2 wrt p.\nAnswer: 24*p**2 - 12*p*r**2 + 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, 969, -4.1, -5 in descending order.\nAnswer: 969, 6, 1, -4.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + 0*s**2 + 2*s**3 + (-s**2 - 4 + 4)*(-1 - 2*s + 1) - 4*s**3 + 4*s**3 + s**3 - 2 + 2 + 2*s**3)*(0*s - s + 0*s).\nAnswer: -7*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -99?\nAnswer: -9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2896*306\/16320 + 54.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 903087 and 54.\nAnswer: 5418522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 8*y + 6. Let f(a) = 4*a**2 + 2*a + 1. Suppose -i + 3 = 3*v + i, -2*v - 14 = -4*i. Let n be f(v). What is the third biggest value in -3\/2, n, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/(12\/(-1)) - (-1348)\/12?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -393 + 371 - (-2 - 3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -589*w - 1106 - 5962 = 0 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 9. Let v be 558 - 3\/((-12)\/i). What is v rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6 + -4 - -2) + -7. Suppose -c - 3 = -14. What is the remainder when (0 + -2 - a)*c is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 5*d**2\/2 + 5*d - 2. Let h(g) = -g**2 + g + 9. Let o be h(0). Is 9 a factor of c(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 201 + -210?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 3. Suppose -270 = -v*h - 5*h. Is 15 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/1190)\/((-40)\/32 - 129\/(-180))?\nAnswer: -3\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -950.661 to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10132 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10199, -40796, -91791, -163178, -254951, -367104, -499631?\nAnswer: -652526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -2. Let m(d) = d - 10. Let h be m(11). Put -0.05, h, o in descending order.\nAnswer: o, h, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -255)*((7399 - -1) + 0). What is g rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2808, -5613, -8418?\n\"Answer: -2805*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 263956862?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from pdtidpdppppdedepdd.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40.77 + 0.77. Let b = -39 - g. Let m = 0.3 - 0.2. Which is bigger: m or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (-2)\/(6\/9). Let y be 3*2*i\/6. Let f be (y\/(-8))\/((-2)\/(-16)). Solve -3*w + 3 = -3*v, 0*w - 3*w = f*v - 24 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 4 = -0*t + 4. Put 2, -5, t, 50, -1 in ascending order.\nAnswer: -5, -1, t, 2, 50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 294428, 588858, 883286, 1177712, 1472136, 1766558, 2060978?\n\"Answer: -g**2 + 294433*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three tenths of a second?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 626, 0.07, -1.2, 1005.\nAnswer: -1.2, 0.07, 3\/4, 626, 1005","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 487 and -5746811.\nAnswer: -5746324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -678703 (base 9) in base 15?\nAnswer: -80733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.6, 2\/3, -1\/377, 81 in descending order.\nAnswer: 81, 2\/3, -1\/377, -2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*i = 32. Let g = i - 10. Let j be (5\/4)\/(g\/(-8)). Solve 2 = l - 4*s, 4*l - s + j*s + 12 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -67*p**5 + 49892*p**3 + 5824128*p**2 wrt p?\nAnswer: -4020*p**2 + 299352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8 + 3950\/(-30))\/(0 - 1). Let z = 4087\/33 - q. Solve z*c**3 + 2\/11*c**2 - 8\/11*c - 8\/11 = 0 for c.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) 0.14 (b) 1\/3 (c) 0.02 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 273*m**2*r**3 - 4*m**2 - 6563*m + 293*r**3 - 2 wrt r.\nAnswer: 819*m**2*r**2 + 879*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 0*a = -3*y - 524, 0 = -3*a - y + 393. Let t = 134 - a. Solve -2*c - t*c + 25 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a23bd3 - -21?\nAnswer: a23c04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -o**5\/20 + 7*o**4\/12 + 16*o**2. What is the second derivative of p(l) wrt l?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4593*i - 118666 = -435583 for i.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2354750*y**3 - 13*y + 13*y - 12628252*y**3.\nAnswer: -14983002*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 457*u + 1361*u - 10 - 455*u - 450*u.\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4280.5081 + -4299.41. Let s = -11.103 + g. Let w = -30 - s. Round w to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 1 = -3*z, -z + 3*v + 5 = -13. Suppose -z = 3*j - 6*j. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 1 = 4*r. Let d(g) = 6*g + 3. Let w be d(r). Let c = w - 12. Solve 5*b = -c*s - 40, 3*b = 5*b + 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*j + 30*j = -32*j + 7 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/35)\/(212\/742).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/6*180\/(-40)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 0*t**2 + 6 + 0. Let d = 1 - -7. Suppose 13*b = d*b. Calculate k(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2 - 61747914*w.\nAnswer: -3*w*(w + 20582638)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/20)\/((-6)\/8). Let d = -34629 - -34630. Which is the nearest to 0? (a) 0.1 (b) d (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1885872?\nAnswer: 2, 3, 101, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*w - 65 + 140 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.8 (b) 92 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/10 + (-80)\/(-50). What is the greatest common divisor of 22 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 8.5. Suppose -l + 10*l - 18 = 0. Sort d, 0.1, l in increasing order.\nAnswer: d, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 125050?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20210*a**3*n + 5*a**3 - 13376*a*n - 4*a + n + 2 wrt a.\nAnswer: 121260*a*n + 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of 0*v**2 - 19\/4*v**4 - 11*v + 13 + 0*v**3. Find the first derivative of x(f) wrt f.\nAnswer: -57*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 5*o - 30, -33*o + 34*o = c. Let j(v) = -v**2 - 5*v + 8. Let a be j(-6). Let m be (-91)\/(-2) - a\/4. Calculate the highest common factor of o and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*g*z**6 - 398*g*z**3 + g*z**2 - g*z + 74*z wrt z?\nAnswer: -480*g*z**3 - 2388*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21020\/1471400)\/((-2)\/140)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 95\nAnswer: -28.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 11) to base 14.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 53 = -3*j + 71, 0 = -2*j + 12. Let d(g) = -11*g - 5. Let w be d(-6). Let n = w + v. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/17 (b) -4\/7 (c) 5 (d) 20.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -257 - 22c3?\nAnswer: -254a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -77 - 1306. Let j = l - -483. Round j to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3871*q**2 + 8*q + 3162. Let g(u) = -23226*u**2 - 50*u - 18973. Let y(t) = 25*a(t) + 4*g(t). Differentiate y(z) wrt z.\nAnswer: 7742*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 + -5)\/(1*-2). Solve 0 = -z*f - 2*f + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -154430, -154424, -154418, -154412?\n\"Answer: 6*c - 154436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 393 and 18864.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 23 - 22 - (0 + 0 + -4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 5*z**2 - 6*z - 6. Suppose 2*d - 4*j = 8, -3*d + 8 = j - 6*j. Let g be v(d). Suppose g*n = 8 + 4. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + 9 - 0) + -103 + 76?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63021 and 11382793?\nAnswer: 3001","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/84*(-3)\/9*4\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10296 and 85800.\nAnswer: 257400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156738682 divided by 359.\nAnswer: 436598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5d746 - 0?\nAnswer: -5d746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*41.557.\nAnswer: -83.114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*s + 12*s - 3*f + 3, -5*s = -4*f + 23 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w - 34. Let p(y) = 11*y - 6. Let x(t) = -31*t + 17. Let i(h) = 17*p(h) + 6*x(h). What is g(i(a))?\nAnswer: -3*a - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 13, -2, -37, -98, -191?\nAnswer: -322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25671 (base 15) in base 12?\nAnswer: 59251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 2. Let w = -1561\/9 + 173. What is the nearest to 1\/2 in -5, z, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**2 - 3*g + 5. Let j be m(6). Let r be (20\/((-480)\/126))\/(2\/(-40)). Let w = r - j. Calculate the remainder when 66 is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 + 2*t**2 + 0*t**3 - t**2 - 2*t**3.\nAnswer: -2*t**2*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74103 (base 11) to base 12\nAnswer: 52567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 12*i + 46. Determine y(-7).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 354 + 330 = 0. Solve -v*s = 5*k + 12 + 24, -5*s + 2*k - 12 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1294\/165 + -119\/15. What is the second smallest value in -1\/4, i, 2\/9, 1\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1957*k + 658*k - 22176 = 549*k for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 45, 74, 125, 204, 317?\nAnswer: 470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (388\/(-130))\/(5898\/300). Let i = -2\/983 + x. Which is the third biggest value? (a) i (b) 2\/5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205 is divided by 64?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 487167.\nAnswer: 3, 162389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 0.4, 9, -2.9?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 4 = l. Suppose 11 = -3*f - 4*d, -5 = -5*f - 2*d + 7*d. Let g = 7 + f. Put g, l, 0 in descending order.\nAnswer: g, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8941670 divided by 894167\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uz when two letters picked without replacement from {z: 3, l: 1, a: 11, u: 4}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -20184 divided by 232?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -1\/2 (c) -0.088 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 63805 * 0.35.\nAnswer: 22331.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 7:27 AM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 10, 5, 8, 4, -7, -99.\nAnswer: -99, -22, -7, 4, 5, 8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/2*59352\/7419?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -4*c**2 - 4*c + 11. Let p(x) be the third derivative of -x**5\/30 - x**4\/12 + x**3 + 2*x**2. Determine -11*p(f) + 6*z(f).\nAnswer: -2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4983 - -2084. Let o = 478 - w. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - j - 2 + 4 = -6 + 5, -v - 9 = -0*j + 5*j for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7818*i**2 + 218*i + 1611926 wrt i?\nAnswer: 15636*i + 218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 163615532 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(432) + 0)*-3 - -1*(sqrt(432)*2 - sqrt(432))*-6)**2.\nAnswer: 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {b: 2, g: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 13*x**2 + 2*x + 23. Let s(p) = -p**2 - p. Let z(o) = -g(o) - 2*s(o). What is the first derivative of z(y) wrt y?\nAnswer: -22*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1264994140 to the power of 1\/2, to the nearest integer?\nAnswer: 35567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 740*a - 4489. Give r(6).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*y + 1359 + 1980 - 1083 = 0 for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + (-32)\/6)*-3. Suppose 0 = -6*o + 3*o + 45. Suppose -11*p + o*p - 440 = 0. What is the highest common divisor of p and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -38*g - 4. Let s(p) = 493*p + 51. Determine -4*s(t) - 51*w(t).\nAnswer: -34*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 7*k**2 - 23*k - 18. Suppose -4*w - 5*d + 453 = 0, -2*d + 562 = 5*w - 0*w. What is the remainder when w is divided by c(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 16*g**2 - 12*g - 27. Determine z(15).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10028719315 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 72.0065, -2, 3 in descending order.\nAnswer: 72.0065, 3, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13482347 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + p + 173 = 2*b, 3*b + 87 = 3*p. Suppose 8*w = 5*w + p. Is 4 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = 7*z - 280. Let k(t) = -t**3 + 8*t**2 - 13*t - 4. What is the remainder when z is divided by k(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/3 - -11\/15. Suppose -6*y = 4*m - 46, -63*m - 4*y = -59*m - 36. What is z in 0 + 4\/5*z**3 - z**2 + 3\/5*z**m - x*z = 0?\nAnswer: -2, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2872690 = -264*w + 231*w - 457618. What are the prime factors of w?\nAnswer: 2, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 230, -158, 5, -4.\nAnswer: -158, -4, 5, 230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 5*c + 2, -d = c - 0*c - 5. Suppose 2*t + d = 11. Sort -5, 2, t, 0 in decreasing order.\nAnswer: t, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4 + 30 = 0. Suppose 5*q + 8 = -x, l = 2*x - q - 2. Solve -2*d - 9 = -5*o, o = -0*o + 5*d - x for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 + 0. Calculate the remainder when f is divided by (-568)\/(-48) - (-1)\/6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 6*h + 6*h - 6*h)*(-3*h + 3 - 3).\nAnswer: -18*h**2 - 9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 8.232891 nanometers?\nAnswer: 0.000000008232891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14578 - 10333. What are the prime factors of v?\nAnswer: 3, 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-328)\/55 + 208\/(-5720)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 22\/12 + 2\/(-6). Let p = 6.952796 - -0.047204. Put 0.3, d, 3, p in increasing order.\nAnswer: 0.3, d, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 15 + 7. Suppose -u + 97 = 4*u - r, 0 = h*u + 4*r - 30. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 985 or -787?\nAnswer: 985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 7*f - 27. Let q be m(10). Suppose 6*p = -q*p + 54. Let b be 4\/18 + (-480)\/(-27). What is the highest common divisor of p and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r**2 + 47*r - 102. Let i be t(2). Solve -6*a + 4 = i*y - 11*a, 4*y = 4*a for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4334 + 4370. Calculate the highest common factor of a and 2544.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6638 + -6636.346. What is x rounded to 1 dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/5*(8 - (-8)\/(-36)). Which is greater: 9 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vhv when three letters picked without replacement from vhhvhhhvhhvhvvvvvvhv?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of i**7\/11340 - i**6\/810 + i**5\/180 + 101*i**4\/12 - 16*i + 4. Let q(c) be the third derivative of k(c). Factor q(a).\nAnswer: 2*(a - 3)*(a - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10, 3, -14, -47, -102?\n\"Answer: -d**3 + d**2 - 3*d + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 5\/8*n**2 + 30 + n + 1\/12*n**3. Find v, given that m(v) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -77.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -9*s + 28. Let k(q) = 9*q**2 + q + 17. Is k(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 49 - 550180?\nAnswer: -550133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/(-81) + (-44)\/(-72). Suppose -3\/2*b**2 + 3\/2*b - g + 1\/2*b**3 = 0. What is b?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iq when two letters picked without replacement from mmkmdqim.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6031545854?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*sqrt(1216).\nAnswer: 4 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 253*g + 31*g + 5396 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55543125 and 12375?\nAnswer: 4125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -2) + 61 + (0 - 0) + 174 + -171.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**4 - 177*h**3 - 741*h**2 - 939*h - 378.\nAnswer: 3*(h - 63)*(h + 1)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3640059113 to the power of 1\/3, to the nearest integer?\nAnswer: 1538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 5:18 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -68 + 3?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(22)*3)\/sqrt(2) - (sqrt(704) + -1)*-6.\nAnswer: -6 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 11211202110010 (base 3) to base 11\nAnswer: 14a8725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3342 and 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (640\/35)\/((-2586)\/9051)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28276945237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/220 and 91\/80.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*p + 0 = 858. Suppose -22*y + 35*y = p. Factor -24\/5*o - 144\/5 - 1\/5*o**y.\nAnswer: -(o + 12)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49 divided by 1823335\nAnswer: 49\/1823335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 71, -0.2, -2\/79, -10.8?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p + 5. Let y be i(6). Let x = -1 + y. Let o(n) be the third derivative of -n**4\/8 - 4*n**3\/3 - n**2 - 345. Determine o(x).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000022749315 to 7 dps.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*a + 18*a + 1266 = -98*a - 21*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2334 - -1132?\nAnswer: -1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68721.\nAnswer: 3, 22907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3441633 or -3441636?\nAnswer: -3441636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.101, -13\/10, -7\/3?\nAnswer: -0.101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4350322 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -4 (b) 3 (c) -1 (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*(0 + (5 + sqrt(171) + sqrt(171) + 1*sqrt(171) - (sqrt(171) + 0 + 0)) + -2) + -1)**2.\nAnswer: 72*sqrt(19) + 2745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 11*x**2 - 4*x**2 - 3*x + 2 - 6*x**2 - 2*x. Determine c(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2, 23, 58, 107?\n\"Answer: 7*j**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (27 - 10 - 11)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-5\/4)\/((b\/(b*b**1))\/b))\/((b**(-1)*b)\/b)**(-38) assuming b is positive.\nAnswer: b**(-149\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 2*t + 5, -5*t - 2 + 4 = -2*z. Let h = -2 + 6. Which is the nearest to -7? (a) z (b) -0.1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10*3\/(-30)*-4. Let f(w) be the third derivative of w**4\/24 - w**3 + 2*w**2. Let v be f(6). Solve v = -s*u + 7*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = r + 2*h, 0 = -r - h + 4*h. Suppose -2*o = -r*o - 2344. Is (3 + -1)*o\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100\/40 + 1\/(-14)*29?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153180\/36 + (-5)\/(-2)*-2?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -299*f - 651. Let w be z(-4). What is the highest common factor of w and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1035405, -2070821, -3106247, -4141683?\n\"Answer: -5*v**2 - 1035401*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/3 - -5) + -6. Solve 0 = y, -5*y = -3*o - g*y for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 415025175.49 - 415025243.889999766. Let q = -68.4 - b. What is q rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t + m + 4*m + 26, 0 = t + 4*m + 14 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2399\/14 + -168. What is the common denominator of -46\/3 and a?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 9:51 AM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1815) + (-1*sqrt(1815) - sqrt(1815)) + sqrt(1815) + -3*(sqrt(240) + sqrt(15)))\/((sqrt(300) - 3*sqrt(300)*1 - sqrt(300)) + sqrt(300)).\nAnswer: 3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.3, 4\/91, -1.5, -0.4, -1\/8?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - (-32 + (10 - 15))) + -14\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 56? (a) -1588 (b) 0.3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -1\/6*y**3 + 0*y + 5\/24*y**4 - 17*y**2 + 1\/12*y**5 - 1\/120*y**6 + 0. What are the prime factors of h(4)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/5886769 and 37\/8409670.\nAnswer: 58867690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 1. Let k = -0.04 - -0.54. Let d = -0.45 - -0.25. Which is the nearest to s? (a) k (b) d (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q*q**(5\/6)\/q)\/q)**(-3\/4) assuming q is positive.\nAnswer: q**(-5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 3 + 44*j - 45*j to l + y*j and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -2*t - 93, 4*a + 2*t - 54 = 4*t. Solve 2 = -5*p - a for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -174*z + 177*z - 5*t + 265, -3*t = 2*z + 145. Which is the closest to z? (a) 3\/5 (b) 5\/4 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 7, -5, -0.2, -4\/9?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8638, -8635, -8628, -8617?\n\"Answer: 2*u**2 - 3*u - 8637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 522, -13, -2\/11?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*g - 12*g = 91992. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w\/w**41)*w*w**(1\/46))\/(w\/w**(-33))**(-1\/46) assuming w is positive.\nAnswer: w**(2013\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -2*x - 214, x = 5*k + 5*x + 275. Let d = -47 - k. Suppose 2*u - 2*o - 1109 - 1963 = 0, -d*u + 6143 = -3*o. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8701 - -0.106.\nAnswer: 8701.106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2442 or 2446?\nAnswer: 2446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 4*u + 8*u = 22, -3*y = 5*u - 21. Solve 0 = y*h - 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + h**2 + 3*h + 1. Let a be z(-1). Let x be (-9)\/(9\/(-42) - a). Suppose -3*i - x = -3*p, -8*i + 3*i - 42 = -3*p. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.55? (a) -0.03 (b) -1\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 57.8 + 13.6.\nAnswer: 71.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 244, 617, 1078, 1633, 2288, 3049, 3922, 4913?\n\"Answer: t**3 + 38*t**2 + 252*t - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**6\/6 + n**5\/20 - 1397*n**4\/24 - 1018*n**2. What is the second derivative of f(z) wrt z?\nAnswer: 120*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 70196\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-2) + (-3)\/(-6) + 1. Suppose r - 124 - 99 = z. What are the prime factors of r?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1091 - 1067. Calculate the remainder when 741 is divided by m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 105631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/295? (a) -0.05 (b) 0.3 (c) 5 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 17*q**2 + 7*q + 23. Calculate h(-17).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 6:29 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 + 26. Which is bigger: 3\/4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*o*p**2 - 49*o*p + 651248*o - 62*p**2 - p wrt p?\nAnswer: 4*o*p - 49*o - 124*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 42. Let y = 22 - z. Suppose -g - 3*k = -4*g + 72, -y*k - 77 = -3*g. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 15, 78, 191, 360, 591?\n\"Answer: f**3 + 19*f**2 - f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -92, 4, -49, -2094.\nAnswer: -2094, -92, -49, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19034 + 658245. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186145 is divided by 975?\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-136)\/(-12))\/(-17))\/(16\/(-6))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -87 + 189. Suppose -w + 5*w + 3*f - 83 = 0, -5*w + u = 2*f. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1070867 is divided by 356953?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**4 + 0 + 0 - 213*v**3 - 14*v**4 + 213*v**3 + (v + 1 - 1)*(3*v**3 + 0*v**3 - 2*v**3) - 3*v**4 + 2*v**4 + 3*v**4 + 0*v**4 - 3*v**4 - v**4.\nAnswer: -13*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -2*b - 1652. Suppose -l + 2*v = -b, -4*l + 5*l = v + 828. Suppose -5*x + 1126 = s - 242, -3*x + 4*s = -l. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -289*-280742\nAnswer: 81134438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.12 and 80.82?\nAnswer: 79.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 5 - 3)*(442 - 879 + 436 + 30*n) to the form t + h*n and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 79889 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 6*i. Let u be (-6)\/(69 - -3)*(-2 + 1). Let s(w) be the second derivative of 0 - u*w**4 + w + 0*w**3 + 0*w**2. Give m(s(a)).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-five halves of a micrometer in nanometers?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71651, -71849, -72047?\nAnswer: -72245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-29)\/6*-2*5. Let y = f - 48. Factor 0 - y*j**2 - 1\/3*j**4 - 2\/3*j**3 + 0*j.\nAnswer: -j**2*(j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76547953 is divided by 1028.\nAnswer: 1017","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**2 + 158*f - 160 = 0. What is f?\nAnswer: -80, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2163\/(-18)*31\/651 and 71\/273.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 363*y**2 - 18*y**3 + 8*y**3 + 7*y**3 - 112*y**2.\nAnswer: -3*y**3 + 251*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/10711379 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - h**2 + h + 1. Let d(l) = -2*l**5 - 5*l**4 + 5*l**3 - 10*l**2 + 9*l + 9. Let y(v) = 4*d(v) - 36*r(v). Factor y(a).\nAnswer: -4*a**2*(a + 1)**2*(2*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 5*p + 175 = 0, 0 = 2*p + 26 - 42. What is the remainder when 29877 is divided by g?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66477168 a multiple of 508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9440*h**5*k + 110*h**4 - 3390*h**2*k - 68*h**2 - k wrt h?\nAnswer: -566400*h**2*k + 2640*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 450, 497, 576, 687, 830?\nAnswer: 1005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6602333, 6602330, 6602327, 6602324, 6602321?\n\"Answer: -3*u + 6602336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26123\/4 + 6532. Sort q, -47\/7, 1\/4 in descending order.\nAnswer: q, 1\/4, -47\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 102 = -2*r - 2*r, -2*a = -4*r + 104. Let p(z) = -2*z**2 - z - 4. Let j be p(3). Let s = r + j. Solve 3*l - s*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f + 19 = -233. Sort -3, f, -1\/2 in increasing order.\nAnswer: f, -3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175\/35*3*3\/45?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a - 2*i - 14 - 10, -5*i - 10 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(11\/5)\/l**(-17)*(l**(-6\/5)\/l)**16 assuming l is positive.\nAnswer: l**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b + -376?\nAnswer: -368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7984 is divided by 95?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 + -32.96. What is the closest to 0.1 in 1, 0.5, h, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 6*z. Let a = -9 - -8. Suppose 36*y - 35*y + 5 = 0. Sort 3, z, y, a in decreasing order.\nAnswer: 3, z, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 17*c. Let o(k) = 93062*k. Give o(h(i)).\nAnswer: 1582054*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i. Let o(k) be the first derivative of 4\/3*k**3 + 12 + 0*k + 9*k**2. What is o(t(f))?\nAnswer: 16*f**2 + 36*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (22 - 0)*((-90)\/12)\/(-15). List the prime factors of (-22)\/g*654\/(-4).\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1474, -1677, -1880?\nAnswer: -2083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.66889ug in grams?\nAnswer: 0.00007466889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = k + 15. Let c = -11 + k. Suppose -28 + 276 = c*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 + 15. Let o = y - -15. Calculate the least common multiple of 2 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 + 10 + 26 + (0 - (-3 + 73)) + -5.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x**2 + 2*x + 1. Let o be t(-1). Which is the smallest value? (a) -3\/7 (b) o (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000002652 rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8897202043 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - -7. Let j = x + -29. Let s = 12 + j. Which is the closest to -2\/3? (a) s (b) 0.2 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 9*c + 300. Let h be l(-31). Solve -3*u - 8 = 2*k - 6*k, 5*u = -k - h for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2213 is divided by 139.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 13*v = 0. Let y be -283*1 + (-1 - v). Let k = y + 435. What is the remainder when k is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6633421 - -7?\nAnswer: -6633413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 28526*f. Let b(c) = -37*c + 1. Let x(y) = 149*y - 4. Let q(g) = 4*b(g) + x(g). Give p(q(h)).\nAnswer: 28526*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -2407995.6 to the nearest 100000.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 3971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -310 smaller than 0.0419237?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -692*j**3 + 349*j**3 + 349*j**3.\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*n = -280 - 800 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-577 - -597) + (-59)\/2.\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x. Let p(y) = -6*y. Let z = -65 - -61. What is z*p(v) + 7*l(v)?\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.50147333 rounded to three dps?\nAnswer: -0.501","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 19296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 44*i**2 - 314*i - 30. Let l be r(35). Sort -1, l, -52.\nAnswer: -52, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29884 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2758*q = -2783*q + 550 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 14. Let p be u(0). Let k = p + -11. What is the third smallest value in 0, 2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 4*w**2 + 3*w + 8. Let s be r(5). Let n(p) = -2*p - 7. Let l(g) = -1. Let d(f) = s*n(f) + 14*l(f). Let b(z) = z**2. Determine b(d(a)).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 268 in -1, -3\/7, -1\/439, -1\/3, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - k**2 - k - 1. Let u(a) = -3*a**3 + 12*a**2 + 9*a + 12. What is 12*m(t) + u(t)?\nAnswer: 9*t**3 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2.5, -1.2, 5, 0, -8193.\nAnswer: -8193, -1.2, -1, 0, 2.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6856 (b) -0.4 (c) -1.2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**4\/10 + 140269*i**3\/10 + 491807653*i**2 - 5411441280*i + 4919619600 = 0.\nAnswer: -70140, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**4\/9 + 9539756*x**3\/9 + 11375858527682*x**2\/9 - 7583915224880*x\/3 + 1263986400800 = 0. What is x?\nAnswer: -2384940, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.35 + -6.35297. What is r rounded to 4 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 252581924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-4\/7)*f*f\/f**13 assuming f is positive.\nAnswer: f**(-74\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15542 and 35174?\nAnswer: 818","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29 - -3)*41\/82 + 145\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2549 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 6*x**3 + 14*x**2 - 3*x + 17. Let n(h) = 2*h**3 + 5*h**2 - h + 6. Calculate -6*m(g) + 17*n(g).\nAnswer: -2*g**3 + g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -352*v**2 - 758*v**2 - 2546*v**2 - 2 + 226*v**2 as b + q*v + w*v**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 797961?\nAnswer: 3, 265987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1182)\/(-30) + -3 + (-2)\/5. Calculate the greatest common divisor of 9 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32461 divided by 5\nAnswer: 32461\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5*x - 1063 = 0, -2*x = -3*q + 1005 + 43. What are the prime factors of q?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, z: 2, c: 2, f: 3, e: 4}. What is prob of picking 1 c and 1 e?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372 is divided by 339.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 83759.82 kilometers in millimeters?\nAnswer: 83759820000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1297812 and 750342.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of 595*y**4\/24 - 34*y**3 - 15*y**2 - 10*y. What is the first derivative of g(o) wrt o?\nAnswer: 595","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10066651 (base 7) to base 10\nAnswer: -840337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -647*h - 151*h + 4883 = -150*h - 2245 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i. Let h(u) = 2*u**2 - 2*u. Let w(b) be the third derivative of b**5\/30 - b**4\/8 - 2*b**2. Let g(s) = -3*h(s) + 2*w(s). What is l(g(t))?\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*w + 16*w + 17*w as j + y*w and give y.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -86 + -4?\nAnswer: -8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -484*t + 1000 = -464*t. Solve t*u + 43 = 393 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - (-1 - 0)) + 2 - -6. Solve 0 = -2*x + 4*p - h, -3*x + p + 2*p - 6 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -46*r - 16. Does 33 divide k(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c*c**(-5\/2)*c)*c*c*c*c**9*c*c)**(3\/22)*c\/c**(-8)*(c*c**(-2)\/c)\/c*c**(2\/7)*c*c**(2\/19) assuming c is positive.\nAnswer: c**(54823\/5852)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**2. Let k(s) = 5*s - 1652. Calculate b(k(c)).\nAnswer: -50*c**2 + 33040*c - 5458208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/1)\/(92\/9430*-41).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2 = 5*q, 0*q = -4*l - 2*q + 20. Let k = -6 - -11. Suppose -g + 1 = -2*w, 4*g - 3*w = 9 + k. Solve -g = -l*n + 7 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 109706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.23, 0.2, 2.5.\nAnswer: -0.23, 0.2, 2.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -124.8 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 184 = -q, 2*m + 5*q = -3*m - 900. Let y = m - -331. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15138798?\nAnswer: 2, 3, 2523133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*q**3*t**3*y - 4*q**3*y**3 + 3*q**3*y**2 - 3*q*t*y**3 - t**3*y**3 + 4*t**3*y wrt y.\nAnswer: -24*q**3 - 18*q*t - 6*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-2) - (3 - 10\/(-4 - -14))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*j**2 - 179*j**3 - 157*j**3 + 497*j**3 - 162*j**3.\nAnswer: -j**3 + 28*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 5622 = -7*s - 5688, 0*s + 5*s = -15 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(2 + 1\/2). Suppose 0 = 3*l + g - 11, -g - 10 = -2*l + g. Put o, -2, l in ascending order.\nAnswer: o, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29982 and 285?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24050?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 38, -5, 6, 20 in decreasing order.\nAnswer: 38, 20, 6, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 40, 54, 68, 82, 96?\n\"Answer: 14*q + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180697629?\nAnswer: 3, 7, 8604649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 66962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -212 + 215. What is the nearest to 0.1 in t, 0.2, -18?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 - 29 + 11 + s + 0*s.\nAnswer: s - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 56b (base 12) in base 2?\nAnswer: 1100100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 2, -2, 0.24, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.217 to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -5*m**2. Suppose -2*y - 32 = -2*j - 4, -4*j = -2*y - 52. Let u(v) = -12 + j + v. Calculate l(u(a)).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 5*h**2 - 3*h - 5. Let j(k) = 4*k**2 + 10*k + 12. Let r(z) = z**2 + z + 1. Let b(y) = -j(y) + 8*r(y). What is 6*b(x) - 5*u(x)?\nAnswer: -x**2 + 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 1. Let f = -2 - s. Let v = -0.9999992 - f. Round v to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 371.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -31721\nAnswer: 3\/31721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1335086325 a multiple of 299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 46 (b) -2 (c) -6383 (d) -1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1684091 to the nearest integer?\nAnswer: 1298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 12, t - 29 + 8 = -3*j. Suppose 0 = a + j - 32. Calculate the smallest common multiple of 4 and 412\/a + 14\/91.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*3\/(-12)*-2. Let g be 4\/8 - 5\/o. Suppose g*l = 2*l. Solve 2*a + 2 = -l for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.361794 nanoseconds in minutes?\nAnswer: 0.0000000002560299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*t + 48 - 8. Let q be 36\/5 + 4\/(-20). Let b = q + t. Is 12 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -44*i + 7 - 232*i**2 + 1 - 225*i**2 + 440*i**2. Let l(a) = 4*a**2 + 11*a - 2. Determine -2*d(n) - 9*l(n).\nAnswer: -2*n**2 - 11*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 2*u. Give n(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -89 + 11.3. Let x = j + 78. Let h be 3\/(2\/((-8)\/(-54))). What is the closest to -1 in h, x, -3.6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 6*c**2 + 7*c + 9. Calculate d(-6).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*v - 4*h, -4*v + 5*h = 3*h - 30. Let r(i) = 2*i**2 + 3*i**2 - v*i**2. Let p(k) = -k. Calculate r(p(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10734*h**2*l**3 + h**2*l**2 - l**3 - 9426*l wrt l.\nAnswer: 64404*h**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-188126)\/(-12) - 44\/264 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3878911 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 101*h**2 + 307*h + 30*h**2 - 154*h**2 wrt h.\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - a - 1. Let x(v) = -4*v**3 + 5*v + 2. Let r = -5 - -4. Let i(k) = r*x(k) - 5*o(k). Differentiate i(y) wrt y.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 968472 (b) 2\/9 (c) 1\/4 (d) 4\/3 (e) 0 (f) -4 (g) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -546, 1\/3, -1.6, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3818229*q**4 - q**2 - 12308088*q wrt q.\nAnswer: -45818748*q**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-966) + 3980\/5520.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/2)\/(4\/(-16)). Suppose 14 - k = 5*j. Let w be (-4 - -6)*3\/2. Solve f + 4 = -j*r - w*f, 12 = -4*f for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 414067944 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -26.837\nAnswer: -80.511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, j: 1, v: 3, x: 10, a: 2}. Give prob of sequence xj.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65162?\nAnswer: 2, 31, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2. Let o be -3 + 1 + (2 - -3). Let p(l) = -1 + 2 + o*l**2 - 1. Determine p(z(d)).\nAnswer: 12*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12057652 + 79968.\nAnswer: 12137620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 60 (base 7) to base 4\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 s when three letters picked without replacement from {a: 13, s: 3}.\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3316586, -6633171, -9949756, -13266341, -16582926, -19899511?\nAnswer: -23216096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.837 (b) 0.2 (c) -1\/4 (d) -45 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 342480925 is divided by 668.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -281*g + 2317. Calculate the remainder when 407 is divided by q(7).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**2*y**2 + 38*d**2*y - 1002534*d*y**2 - 152*d*y + 16*y**2 - 378 wrt y?\nAnswer: -4*d**2 - 2005068*d + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -446 - -446.2. Let r = 0.26 - 0.46. Which is the closest to 2\/9? (a) l (b) 3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**2 + r. Calculate m(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3452.34 rounded to the nearest 100?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-2)*(25 + -23) + -2. Find the third derivative of 85*u**2 - 14*u**2 - 2*u**5 + 40*u**n - 25*u**4 wrt u.\nAnswer: -120*u**2 - 600*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237251 plus -216.6221?\nAnswer: 237034.3779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -33481862, -66963719, -100445572, -133927421, -167409266?\n\"Answer: 2*c**2 - 33481863*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -394, 8, 3, 0, 5, -6 in descending order.\nAnswer: 8, 5, 3, 0, -6, -394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-162)\/(-48) + -3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 4) to base 11.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*v = -2*r + 46, r = -4*v + 47. Suppose d + 4*w + 40 = 3*d, 5*d - w = 136. Let p = d - v. Calculate the greatest common divisor of 16 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**2 + 7*h + 4. Let x(p) = p + 1. Let a(i) = -i**3 - 5*i**2 - 6*i - 5. Let y be a(-3). Calculate y*x(u) + v(u).\nAnswer: -2*u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 0)*(-7*s**5 - 10*s**5 + 7*s**5)*(-38 + 58 + 72).\nAnswer: 3680*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -526595.01 to the nearest 10000.\nAnswer: -530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*11\/(-33))\/(2\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 20*c + 149. Let v be j(-6). Suppose b - v = -3*y, -4*b = y - 3*y - 102. Calculate the remainder when 92 is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*b**2 + b**2 - 4*b**2 + (b**2 + 2*b - 2*b)*(1 - 3 + 0) - 396*b**2 - 438*b**2 + 25*b**2 in the form z + x*b**2 + p*b and give x.\nAnswer: -810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a + 39. Give p(-21).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) 9 (c) -6 (d) -8 (e) -77\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 8*d + 4. Let l be i(-8). Suppose -f + 15 = l*f. Determine u so that -4*u**3 + 18*u**3 + 5*u**4 + 39*u**2 + 6*u**f + 10*u - 14*u**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 624*q + 5. Let b(u) = 499*u + 4. Let s(h) = 5*b(h) - 4*r(h). Let v(g) = -484*g**2 - 22*g. What is v(s(y))?\nAnswer: -484*y**2 + 22*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 118*a - 7*a + 15*a as b + g*a and give g.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 37 (base 13) to base 11\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q + 5 - 5)*(-9 + 9 + 10*q)*(0*q - 2*q - q)*(1 + 4 - 3) to s*q + c*q**3 + v*q**2 + z and give c.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-67*b - 147*b + 299*b)*((0 + 16 - 1)*(0 + 0 + b) + 2*b + 0*b - 4*b) to a*b**2 + x + q*b and give a.\nAnswer: 1105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 3. Let k = 3 + -1. Let b(t) = 6*t - 2*t - 2*t**k - 4*t - 7. Let u be 42\/(-4)*14\/(-21). Determine u*o(n) - 3*b(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, 0.1, -41, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*y - 55 - 89. Solve 0 = 2*r + 2*r + y for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/4 of a millennium?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*s**2 + 2*s - 10*s**3 + 7*s**3 + 7 - 9*s**2 - 19*s**2 to c*s**3 + u*s**2 + o*s + l and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 10 = 3*i - i, 0 = 3*i - g - 3. Let p(x) = x**2 + x + 2. Let n(f) = -3*f**2 - 4*f - 6. Let k(u) = -2*n(u) - 7*p(u). What is k(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -3*o + 9, 2*o = -3*k + 3*o - 3. Suppose 3*c - 4 = 5*c - 2*w, -3*w + 12 = k. Let i = -1 - -3. Solve -3*m - 3*z + i*z = 3, 3*m - 6 = c*z for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 - -40. What is the second smallest value in 4, -1, c, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1216, 1132, 1000, 826, 616, 376?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10005 (base 7) in base 6?\nAnswer: 15050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1912047 divided by 4.\nAnswer: 1912047\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-7247)\/(-9) + (-52)\/234?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195 = 3*j - 3*b, j - 45 = 3*b + 18. Suppose 11968 = -j*f + 67*f. Suppose -5*x = p - 680 - 1698, 5*p - f = x. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t = 3*d - 1197, -783 = -72*d + 70*d - 3*t. What is the greatest common divisor of 320 and d?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-21))\/4 - 6009093\/20454*2\/(-9).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -72855.032993 - -72855. What is n rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 133129, 0, -8, 2, -3 in decreasing order.\nAnswer: 133129, 2, 0, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -35, 2?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38180595 to the nearest integer?\nAnswer: 6179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 39\/4686460?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50286924?\nAnswer: 2, 3, 23, 60733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + p - 4*p + 3*p - p - 3*p + (-4 - 3 + 5)*(2*p - 3*p + 0*p))*(5*p + 12*p + 0*p).\nAnswer: -17*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -16. Suppose r = m + 3*m. Suppose 0*b - 6 = 2*b, -4*j - b - 3 = 0. Sort 1, m, j in ascending order.\nAnswer: j, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of 7\/2*i**3 + 0*i + 2*i**2 + 0 + 1\/8*i**4. Let a be v(-5). Calculate the greatest common factor of 6 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-7)\/2*(-174)\/609.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 1\/30290?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -20, 275, 1\/9?\nAnswer: 275","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -42*a**3 + 4*a**2 + 292*a - 584. Calculate d(2).\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 1:42 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -159 - -309. What is the remainder when u is divided by 54?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -163 + 1?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 298 in -5, 2, -2\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of m**5\/60 - 7*m**2. Let p be -1 - ((-4)\/(-10) - 17\/5). Let a(z) = 6*z - p*z + 0*z. What is j(a(f))?\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 58*k**3 + 7*k**2 + 4*k + 2. Let x(m) = 57*m**3 + 7*m**2 + 6*m + 3. Calculate -3*w(f) + 2*x(f).\nAnswer: -60*f**3 - 7*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 4*g - 4*g)*(-4*g - 5*g + g) + 59 - 32225*g - 3*g**2 + 32225*g.\nAnswer: -19*g**2 + 59","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnununyynynnyyy. What is prob of picking 1 n, 1 y, and 1 u?\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 45900571307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22660\/39 or -580?\nAnswer: -22660\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8419*m - 79066 - 393279 = -1003*m - 67199 for m.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21474\/13 - -1645. Put 3, g, 1 in decreasing order.\nAnswer: 3, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**2 + 5900*n - 81816 = 0. Calculate n.\nAnswer: 14, 1461","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**2 - 2*a**2 - a**2 + (-2*a + 1 - 1)*(-2*a + 5*a - 2*a) - 3*a**2 + a**2 - 3*a**2.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millennium in months?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -316 - -286. What is the remainder when 79 is divided by 10 + -8 + 1\/((-3)\/j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8796)\/18325*2\/(-6))\/(4\/10)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + l. Let u(a) = 4*a**2 - 5*a - 349. Give 6*s(w) + u(w).\nAnswer: -2*w**2 + w - 349","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 3 (c) -1105.7 (d) 5 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b + b + 0*b)*(-2651*b**2 - 142*b + 2510*b**2 + 145*b) to f*b + j*b**3 + n + p*b**2 and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27129234*d**3*q + 1708*d**2 + 253*d*q - 7*q wrt d.\nAnswer: -162775404*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (171600\/855)\/20*5\/5?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -216 in ascending order.\nAnswer: -216, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5824 + 0.7824. What is the nearest to -2 in -21, d, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/11 equal to 0.20972024?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.02101 - 0.00989. Which is greater: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*w - 0. Let c be (-1)\/w + 3205202\/3. Let r = -2268401 + c. What is r rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 332 and 1577?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 211467215 divided by 5.\nAnswer: 42293443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t. Let u be (3\/2)\/(3\/20). Suppose 5*m + 2*d + 15 = -3*d, -2*d - u = 0. Suppose m*g + 30 - 6 = -4*z, 2*z = -2*g - 14. Give r(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-3 - -5 - 2)) + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 12:51 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 620 - 440. Let d = -171 + z. Let p = 2 + -3. Which is the second biggest value? (a) 2\/9 (b) d (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 4*m - 12, 0 = -k + 3*m + 4875 - 4889 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xixxxxxxxxxx. What is prob of picking 3 x?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = l + 8, 2*d = -3*l - 1 - 2. Calculate the remainder when (0 - l)*(-41 + -2) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 469403958.9 and -4.\nAnswer: 469403954.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(540)*2*6 + (sqrt(540) - -1*sqrt(540))*-3 + sqrt(540))\/((-1*sqrt(48)*-5 + sqrt(48))\/(-1*sqrt(400))))**2.\nAnswer: 6125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17.54 + 17.14. Let d be ((-3)\/2)\/((-108)\/(-80)). Put d, q, 0.1 in ascending order.\nAnswer: d, q, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1188*g + 11*g**2 + 1230*g + 10*g**2.\nAnswer: 21*g**2 + 42*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3132 and 3240.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 32123231?\nAnswer: -32123230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 + 216*c + 2160.\nAnswer: 3*(c + 12)*(c + 60)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -0*a + a. What is the remainder when 40 is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -2*d. Solve d = -x - 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -135*t + 1450. What is i(11)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, i: 1, h: 4, c: 1}. What is prob of picking 1 h and 1 i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 3*g - 15 - 13 = -3*d, 3*g = 0 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 17 = -5*w, 0 = 5*s - 10*s - 2*w. Let j be (-2)\/(-5) - (-2)\/(-5). Is s greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -314, -758, -1200, -1640, -2078, -2514, -2948?\n\"Answer: c**2 - 447*c + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 384420 and 149.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1231 - -69. What is the tens digit of c\/(-40)*108\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, d: 3, t: 1, f: 1, a: 1}. What is prob of picking 1 f, 1 a, and 2 m?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c + 3*t - 16 + 30, -2*c + 10 = t for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 342*v + 30 = -18*m + 346*v, -11*m = 3*v + 51 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 3*l + 18319988 = 0, 0*f + 22899996 = -5*f - l. Round f to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*6525582\nAnswer: -6525582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 45*a - 1. Let t be (41 - 40) + (-2 - (0 - 0)). Give v(t).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a century in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v**2 - 2 - 17*v**2 - 2*v**2 - 2*v**4 - v**2 to the form h*v**2 + l*v**4 + z*v + r*v**3 + j and give h.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + 1 + 0 + 1. Suppose -i*l + 2*l + 11792675 = 0. Suppose -1081465 - l = 4*m. What is m rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(2400) - sqrt(2400)*-2 - sqrt(24)))\/((-1*sqrt(968) - sqrt(968)) + (sqrt(96)*-1)\/sqrt(12)).\nAnswer: 116*sqrt(3)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -n**3 + 44*n. Determine h(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15678.99987892 + -15679. Round x to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -165\/4 - -41. Let q = -10 - -7. Which is the nearest to 1\/2? (a) v (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39.895835 - 59.\nAnswer: -19.104165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1317407?\nAnswer: 7, 13, 31, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -4, 1, -3\/8, -0.5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**3\/5 + 2104*x**2\/5 + 47492*x + 1181040 = 0. Calculate x.\nAnswer: -380, -111, -35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86641480 divided by 31166.\nAnswer: 2780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275 = b - 268 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**2 + 4*v - 4*v + (980*v - 3299*v + 195*v)*(-6 + 4*v + 6 + (0 + 3 - 4)*(-4 - v + 4)) to the form p + k*v + r*v**2 and give r.\nAnswer: -10621","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -53013429621 + -6.6\nAnswer: -53013429627.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 4 = h, -s + 3 = 3*h + 2*s. Suppose k = -h*k + 6. Suppose -q + 0*a = 5*a - 72, k*a + 96 = 2*q. Does 4 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = u - 2*w - 29, -4*u + 152 = -w. Suppose 8*o - 3 = u. Find the second derivative of 2*v - 22*v**o - 8*v + 12*v**5 wrt v.\nAnswer: -200*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - u**2 + 2*u - 3. Let h(y) = -y**3 + 3*y**2 + 2. Let k be h(3). What is v(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 4*f + 86, 3*f + 5*g - 593 + 690 = 0 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19699 + -19704. What is the fifth smallest value in -1\/7, -1, v, 179, 5?\nAnswer: 179","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -67\/23124 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rkk when three letters picked without replacement from {r: 2, h: 2, y: 8, k: 3}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.334 + -0.834. Let y = 57 + -13. Which is the closest to 1? (a) y (b) k (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + -3 + -1 + (-2 - (-7 - -2))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/4 + (-1131)\/1508 - 4\/((-160)\/(-294))?\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (0 + 2) - (-5 - -12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -686, -4634, -15104, -35360, -68666?\n\"Answer: -544*i**3 + 3*i**2 - 149*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 3*y + 4. Suppose -16 = -4*i - 4. What are the prime factors of l(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.3 (b) 1\/32 (c) -2 (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -25*k**3\/6 - 59*k**2\/2 + 33*k. Is w(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 18 and 1787052658728.\nAnswer: 1787052658746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10183, 2, -4, 0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3602 - -0.3602. Let z = 85.57 + -1.57. Which is greater: z or b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 5*h**2 - 8*h - 17. Let n be j(-4). Do n and 6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50295 - 153717 = -6*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*c + 36*c - 36. Suppose c*d - 252 = 171. Suppose -5*n + d + 28 = 0. What is the remainder when n is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 204671, 408886, 613101, 817316?\nAnswer: 1021531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21976*h**3 - h**2 + 909*h - 5 wrt h.\nAnswer: -131856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of v**4\/4 + v**2\/2 + 2*v + 1. Let h(o) = 2*o - 10. Let l be h(5). Let c be (-1 + 3 - 3)*l. Calculate k(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 23 = 5*v, 2*m = -3*v + v - 14. Let o be -1 + 1 + (-4)\/m. Find the first derivative of 0 + 1 + 2*g**4 - o wrt g.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*x = 21 + 155. Factor 0*q**2 + 0 - 6\/11*q**3 + 0*q - 2\/11*q**x.\nAnswer: -2*q**3*(q + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -12*r**3 - r + 7. Let c(s) = 29 + 28 - 59 + s**3 + 3*s**3. Let y(z) = 7*c(z) + 2*j(z). Find the second derivative of y(g) wrt g.\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3467 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2*1)\/(3 - 2). Suppose -t*c - c = 2*i - 53, 0 = c - 3*i - 14. Let h = c + 18. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.66 * 0.2.\nAnswer: -0.532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-104)\/(-156))\/((-2)\/(-45)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*j**4 + 216*j**3 - 403*j**2 + 536*j - 12040 wrt j?\nAnswer: 180*j**2 + 1296*j - 806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*a**2 - 21*a**3 + 2 + 19*a**3 - 6 + 3*a to w*a + t*a**3 + m + g*a**2 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*d + 7 = -3*x - 145*d, 13 = 3*x - d for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 + 76\/14 - 25\/(-7). Solve 0 = w*m - 7 + 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-8)*(-4)\/(-39)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -88244*l**3 - 2*l**2 - 45*l - 46294355?\nAnswer: -264732*l**2 - 4*l - 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**3 + 110*k**2 - 3417*k + 20808 = 0.\nAnswer: 8, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*(-3 + 186\/4). Let l = k + -185. Suppose 4*r - l = 4*q, -5*r + 2*q + 53 = -30. Calculate the greatest common divisor of r and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 5:46 AM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -15.1. Which is greater: r or -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j = -11*j - 1. Let o(w) = 42*w**2 - w - 11. Let p be o(-5). Let c = 58467\/56 - p. Are c and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/(-36) + 0 + (-33)\/54. Let t = 0.4 - 0.8. What is the second smallest value in t, 4, q, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74626548.\nAnswer: 2, 3, 31, 200609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 733691?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 v when three letters picked without replacement from {s: 2, v: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -4 + 63 + 118*c + 22. Is v(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 24?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o - 33*o - 4*o - 4*o to s + p*o and give p.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, n: 3, m: 6, r: 2, d: 2}. What is prob of sequence dm?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-145)\/(-35) + -3 - 1. Suppose m + 10 = 5*h, -2*m + 10*h = 5*h + 10. Is m <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**3 - 2*d**2 - 4*d + 4. Let n be j(2). Let r be (17\/(-2))\/((-5)\/10) - 2. Solve l = -4*y - r, n*l + 2 = -5*y - 3 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -20, -5, -117167?\nAnswer: -117167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2. Let q(b) = 2*b**2 - 7. Suppose -488*o + 239 = -737. Determine o*q(r) - 6*i(r).\nAnswer: 4*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -9891*19\nAnswer: -187929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 7461a (base 11) to base 5\nAnswer: 11433213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/5)\/(2*(-2)\/(-40)). Let r = -6 + p. Suppose -3*m + 7*m - 9 = -s, 2*m + 8 = r. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 20 - 13)*(o - 1 + 1)*(4 - 3 + 1)*(2 - 11 - 10).\nAnswer: 456*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of o**4\/2 - 4*o**3\/27 - 361. Let x(l) = 0. Calculate l.\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) -1\/2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 4:24 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 1015 - 46*l**2 + 1056 - 2*l + 6*l**2 - 2073 + 0*l in the form f*l**2 + j*l + o and give f.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8331 (base 10) to base 3\nAnswer: -102102120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*g - 73 = -443*g + 5213 + 780 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -2, 1\/3, -0.07, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 84 and 82 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 5:46 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-510)\/(-54) + (-12)\/27 - 4. Solve 8*p - d = 9*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1477483 is divided by 492486?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 2\/13, 24, -259, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -341*o + 2. Let v be n(-5). Let j be (-8)\/36 + v\/27. Let c = -32 + j. Solve 0*d + 2*d - 2 = 4*i, 0 = 5*d + 2*i + c for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - 0.5. Let s = 583 - 585. Which is the nearest to s? (a) -2\/13 (b) y (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 0 + 27*l**3 - 1 + 59*l**3.\nAnswer: 86*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*b - 70 = 0. Let q(n) = n + 21. Let o be q(-5). Let i(j) = 3*j + 54. Calculate the remainder when i(o) is divided by b.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17.53? (a) -28 (b) -0.4 (c) 0.6 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 11:12 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 7*k**2 - 9*k - 4. Let g be z(-8). Suppose 0*o - 463 = -2*o - t, 0 = g*t - 4. What are the prime factors of o?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12\/7 in 0, -1, 0.3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3303235 a multiple of 445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -z - 8. Suppose -4*q - 5*h = 44, -4*q = 49*h + 256 + 316. Solve -z*u = 5*g - 32, g - q*u = -3*u + 1 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, 2, 3.\nAnswer: 2, 3, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25125488?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - ((5 - -10) + -26 - -17)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iji when three letters picked without replacement from fiujnfugi?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-7 - -2)) + 98 + (19 - (31 + -23))\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40125189 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*n + 5*o + 36 = -12*n, -2*n = o + 10 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 204100654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(76) + sqrt(76)*-2 + sqrt(76) + sqrt(76) + -5)**2 - (-2*(-1 + sqrt(1900))*-5)**2.\nAnswer: -190015 + 1988*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 625 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17591 divided by -49?\nAnswer: -359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1583.526 litres in millilitres?\nAnswer: 1583526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sat when three letters picked without replacement from mgshgta.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5)*(c\/(c**(4\/5)\/c))\/c)**(-47)\/(((c**(-13)\/c)\/c)\/(c**(-1)*c))**(-46) assuming c is positive.\nAnswer: c**(-2322\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 + -133\/3. Let w = 2722.1 + -2723. Which is the closest to w? (a) -2\/11 (b) y (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000377872562 to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**2 + 75*y - 21. Determine x(-22).\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270 = 105*t - 234 - 126 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 185206493 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-129)\/2)\/(18\/24). Let y = m + 91. Solve -y*r = -10 - 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1684 less than 18534\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((4 + -3)*-12)\/((-2592)\/15228). Factor -6144 + 1080*g**2 + l*g**3 + 3\/2*g**4 + 4992*g.\nAnswer: 3*(g - 1)*(g + 16)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11143 divided by -1626.\nAnswer: -11143\/1626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 + 4*h**2 - h**2)*(2*h**3 + 2*h**2 - 2*h**2) + 2*h**3 - 2*h**3 + 3*h**5 - 2*h**5 + 4*h - 4*h + (0 - 4 + 2)*(2*h**5 - h + h) - h**5 + 0*h + 0*h.\nAnswer: -2*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 y when three letters picked without replacement from ymzylnizznniymn?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10593?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(6*(5*sqrt(7)*-3 - (sqrt(847) + 0)))**2*1.\nAnswer: -340704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.25 (b) 68 (c) -3 (d) 778\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*v - 13 = 18, -4*k - 4*v = -24. Let b = -84 + 139. Calculate the greatest common factor of k and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/((-19712)\/40) + 6\/(-21) and -91\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.166621kg to nanograms.\nAnswer: 8166621000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 115 + -63. Let v = u - 52. Factor 0*l + v - 2\/7*l**2.\nAnswer: -2*l**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -4*u - 47, -3*u + 8*u + 46 = 3*m. Suppose -29 = -0*o + o. Let x = 78 + o. What is the remainder when x is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 20 = 4*j, 4*g + 4*j = 19 + 1. Suppose g = -h - 1. Let k(m) = 4*m**3 - 2*m**2 - m. Calculate k(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 176*c - 6210. Determine o(136).\nAnswer: -770","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 12:34 PM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n - 4. Let k be l(-6). Let m be (0 + k\/(-5))\/((-3)\/3). Is -1 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1*1*(sqrt(700) + sqrt(700)*-2 + 3 + sqrt(700) + 4))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2, -0.2, 81, -8\/3, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2740487?\nAnswer: 1613, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1269 - 1268. Suppose 0 = -2*d + 4*d + 268. Let w = d + 1205\/9. What is the third biggest value in w, k, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 28? (a) -0.2 (b) 2 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -16753, -33533, -50313?\n\"Answer: -16780*d + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4802, 19361, 43640, 77639, 121358?\nAnswer: 174797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 - 3*m + 2*m + 0*m)*(1 + 3 - 2)*(2*m - 1 - 2*m - 7*m).\nAnswer: -28*m**3 + 10*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.01 + 4.01. Let v = m - 3.9. What is the third biggest value in v, 2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -31, 59, 185, 329, 473, 599, 689?\n\"Answer: -3*y**3 + 36*y**2 + 3*y - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 205817664 a multiple of 416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -773 - -773.0001305. What is b rounded to 6 dps?\nAnswer: 0.000131","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 73 - (-34 + 29) - 16 - -25?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o + 6. Let m be (-18)\/(-36) - 69\/2. Let g be m*(-8)\/(-5 + 21). Let x(b) = 3*b - 18. Give g*k(i) + 6*x(i).\nAnswer: i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + (-60)\/(-33) - (-46)\/11. Let y be 52*(-7)\/(-21)*6\/i. Suppose -2*w = 10 - y. What is the remainder when 29 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 2*d**2 - d - 2. Let s be r(-2). Suppose 2*c - 8 = 0, s = -5*z - 2*c - 3*c + 40. Solve -z*x = x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**2. Let y(q) = -42 - q**2 - 31 + 10*q + 73. Determine d(y(u)).\nAnswer: -2*u**4 + 40*u**3 - 200*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34797 is divided by 335?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (44 - 52) + (1 - -3). Which is the nearest to -1? (a) -8.38 (b) s (c) 3 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -7891, -1360.\nAnswer: -7891, -1360, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*v - 27*v - 31*v - 32*v + 48*v - 28*v - 33*v.\nAnswer: -18*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 15*h**2 + 60*h + 73. Let p(d) = d**2 + 1. Let j(r) = k(r) - p(r). Determine w, given that j(w) = 0.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37097 is divided by 142?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 - (-14856)\/21 - 3\/7. What is the derivative of 8 + 33*g**4 - h*g**3 + 356*g**3 + 357*g**3 wrt g?\nAnswer: 132*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**13)\/(l**(-11)\/l)*(l\/(l\/(l*l\/(l*l*l*(l\/((l\/((l*l**(-1\/6)*l)\/l))\/l))\/l))*l))\/(l\/(l\/(l*l*l**(-7\/4)*l))*l))**(-25) assuming l is positive.\nAnswer: l**(1525\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.81669 + -287?\nAnswer: -268.18331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*q - 4*q + 105 = 0. Suppose 7*b - 6*b = -s, 0 = q*s + 2*b - 5. Solve -s*w = -6*w - 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -y**4\/4 - y**3 + 2*y**2 + 30*y + 1. Let g(o) = 7*o**2 + 13*o - 9. What is -13*a(s) - 6*g(s)?\nAnswer: -3*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76688?\nAnswer: 2, 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 572152209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 207 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + t - 20 = 0. Suppose -3*d = -2*h - 0*h - 18, -3*d = 5*h + 3. Put h, -1\/2, t in increasing order.\nAnswer: t, h, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mkpskku. Give prob of picking 1 p and 2 k.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4 + 4*h + 4*h**2 - 2*h - 5. Let u(q) = q**2 + 189*q - 391*q + 202*q - 1. Determine c(f) - 3*u(f).\nAnswer: f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -177 divided by -59?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 4, -4*d + l + 20 - 14 = -8*d - 5*l - 166 for d.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r + 7*r**2 - 12831 + 12696 - r**2)*(-3 - 7 + 4) as o*r**2 + x*r + a and give a.\nAnswer: 810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**2 - l**2 - 2*l**2 + (-6*l**2 + 198 + 2*l - 380 + 192)*(2 - 1 - 2).\nAnswer: -l**2 - 2*l - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/10*5 + 13. Let q be (f\/10)\/(1\/2). Factor q*u**2 + 0*u - 21\/2*u**3 + 0.\nAnswer: -3*u**2*(7*u - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*m + 34, -4*m + 2*i = 3*i - 44. Suppose 5*h - m = 20. List the prime factors of 74\/h + (-11)\/33.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bk when two letters picked without replacement from bbbhkbbbhhdhbbhbbbh.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 - -615\/23. Is 1 != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2. Let u(y) = -16133*y. Calculate u(j(t)).\nAnswer: 16133*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s - s + s + 0. Let t(v) = -3*v + 3. Let l(u) = -7*u + 8. Let j(h) = 3*l(h) - 8*t(h). Give j(w(p)).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5890, 5951, 6112, 6421, 6926, 7675?\n\"Answer: 8*n**3 + 2*n**2 - n + 5881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*i**4*l**3 - 4*i**4 + 20*l**3 + 6 wrt i?\nAnswer: -8*i**3*l**3 - 16*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 10, v: 10}. Give prob of sequence lvv.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 3*v**2 - 3*v + 4. Let i be c(4). Suppose -i + 0 = 4*b. Is b >= -1\/32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + -16.99986. What is z rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 8*b**2 + 2*b. Let i be s(-1). Suppose -k = -3*u + 22, 3*k + 0*u - 2*u + 45 = 0. Let n(v) = -9*v + 1. Let g(c) = -19*c + 2. What is i*g(l) + k*n(l)?\nAnswer: 3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 1 = 4. What is the derivative of q - 8*x - x**4 + 8*x wrt x?\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*n = 6. Let z(v) be the first derivative of 2*v**2 - v - 102. Calculate z(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-35)\/28 - (138\/24 + -7). Let n(b) be the third derivative of 1\/3*b**3 - 1\/12*b**4 + p*b + 5*b**2 + 0. What is n(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -628 - 5441163261?\nAnswer: -5441163889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 6. Is q*(26\/65 - (-162)\/20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 1:14 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10949*q**2 + 8*q**3 - 4*q**3 + 3*q**3 + 10949*q**2.\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 39 = 19*o. Solve 0 = -o*k + 5*a - 8 - 2, 2*k = -2*a + 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -1, -24 in descending order.\nAnswer: -1, -3, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-2 + 1)) + -2 - -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.11 (b) -0.1 (c) -3 (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 0 - 7) + 3. Let m = -17 + 12. What is the biggest value in m, 1, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-430 + (-42702847)\/(-99308))*4\/(-2)*2?\nAnswer: -1\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2953618 centuries in decades?\nAnswer: 2.953618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.6 (b) 6\/515 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d**2. Let v(l) = -9*l - 5. Let b(z) = -5*z - 2. Let m(t) = -5*b(t) + 2*v(t). What is m(n(u))?\nAnswer: 28*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4*a**2 - 2*a. Let x(w) = 11*w. What is x(n(j))?\nAnswer: 44*j**2 - 22*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6599170 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00069366 rounded to 6 dps?\nAnswer: -0.000694","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 325.8 + -339.8. Which is smaller: -16 or g?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 4 (b) -2\/11 (c) 12.5 (d) -0.2 (e) 2\/75\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of 4\/3*d**3 - 2*d - 1\/2*d**2 + 1\/4*d**4 - 3. Determine v(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76395308.\nAnswer: 2, 11, 1736257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1525119989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 165 - 55877?\nAnswer: -55712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 135 + -127. Let w(v) = -v**2 + 13*v - 30. Let o be w(k). Solve -4*q + 3 = -5*a, 0 = q + 4*q - o for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 262, 1244, 2226?\n\"Answer: 982*q - 720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -6. Let m = -1 + k. What are the prime factors of (2 - m) + (-8)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (15\/6)\/(2\/4). Suppose -v*z = -5*k + k + 2, -5*k - 18 = 4*z. Let j be (z + 1)*(1 - 4). Solve h + 12 = -j*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151275 bigger than 138.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 2*x = -25. Suppose -x*y = l - 280, -5*l + 7*y = 5*y - 1373. Calculate the highest common factor of 25 and l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1843930 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -472 - -8966\/19. Let b = -68.6 + 68. Let g = 0.4 + b. Is p <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1385 divided by -1106.\nAnswer: -1385\/1106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bttv when four letters picked without replacement from {b: 1, t: 3, v: 4}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dy when two letters picked without replacement from {f: 3, l: 1, j: 2, d: 2, y: 4}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2265\/(-4320))\/(0 + 18\/(-27)) + 20\/(-24)?\nAnswer: -3\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 293, 105, -16, -5, 1, 2.\nAnswer: -16, -5, 1, 2, 105, 293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 1, -6*w - 22*d + 19*d = -10 + 7 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 3*k**2\/8 + 31035*k\/8 + 100737\/2 = 0.\nAnswer: -10332, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 314249 greater than 314248?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(5 - (56\/(-24) + 7))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52 + 57. Let s(l) = -l**2 + 6*l - 5. Let y be s(t). Solve 5*b - z - 24 = 0, -5*b + 5*z + y*z + 20 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of 169*o**5\/100 - 91*o**4\/3 + 265*o**3\/6 - 25*o**2 + 1080*o. Factor w(j).\nAnswer: (j - 10)*(13*j - 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r**2 + 406 - 406.\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*r - 3659 + 3131 = 0. Sort 3, r, 34, -6 in decreasing order.\nAnswer: 34, 3, -6, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 70966292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3 = v, 2*j - 5 = -4*v + 7. What is the smallest value in v, 0.02, 5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2558 - -3518. Does 24 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, d: 1, n: 6}. Give prob of sequence nb.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 5*x - 562 - 4214, -2*k = -2*x - 9616. What is the highest common divisor of 48 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*o**3 - 4*o**3 - 15*o**3 + o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118 - 7*k**2 - 24*k**2 + 5*k**2.\nAnswer: -26*k**2 - 118","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(2\/3)*4. Let f = m - 2. What is the derivative of 0*p**3 + p**f - 6 + 0*p**3 + 5 wrt p?\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -54*l**3 + 163*l**2 + 81*l - 265. What is g(3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -617*o**2 + 4*o + 376. Let n(w) = 2465*w**2 - 15*w - 1505. Let h(a) = -15*d(a) - 4*n(a). Find the first derivative of h(z) wrt z.\nAnswer: -1210*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -11\/448, -4, 3\/8, -2\/7 in descending order.\nAnswer: 3\/8, -11\/448, -2\/7, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) - (-1 + sqrt(1331)))**2*-5 + -5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7692, -30711, -69038, -122673, -191616?\nAnswer: -275867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -b + 41, -2*b + 2*x = 2*b - 74. Let v be (-20)\/16 - (-68)\/b. Let j = 2 + -3. What is the nearest to v in -4, 4, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (7 - (-2 - -10))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9323 + 9321.7946. Round y to two decimal places.\nAnswer: -1.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 o when three letters picked without replacement from {b: 1, o: 3, f: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of p**4\/3 + 7*p**3\/3 + 29*p**2\/2 + 30*p. What is the tens digit of k(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5816186 decades to centuries.\nAnswer: 0.05816186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 9, 0 = -0*d - 3*d - 4*j + 1377. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -185, -401, -649, -929, -1241?\n\"Answer: -16*b**2 - 168*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of 2*r**6\/5 + 3*r**5\/20 + 73*r**2\/2 + 72*r. Differentiate i(o) with respect to o.\nAnswer: 48*o**3 + 9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 2*u - 6*u)*(-2 + 8 + 8) + (-u - 1 + 1)*(0 - 2 + 0) - 4*u + 3*u + 0*u + 0*u - 5*u - 2*u.\nAnswer: -34*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/5, 4\/9, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -131 + 614. Let w = j + -477. Which is the third smallest value? (a) w (b) 0.2 (c) -4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 87*f**2. Let a(b) = 156*b**2 + 1 - 1 - 78*b**2 - 71*b**2. Determine a(m(k)).\nAnswer: 52983*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z + 2*z - 3*z)*(3 + 0 - 2) + 5*z + 0*z + 2*z + (0*z + 2*z - 4*z)*(-5 + 4 - 1) to d*z + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -27132*r**3 + 13*r**2 - 13*r + 29. Let u be f(-9). Let m = 3499573 + u. What is m rounded to the nearest one million?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 50 + 49 - 2*a - 2*a. Calculate m(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -89 + 101. Suppose 13 = f - 0*f. Let b = o + f. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 996 divide 1398526847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*y - 49*y - 62*y**2 + 27*y + 14*y**2 as m + i*y + r*y**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -15318, -61500, -138500, -246342, -385050?\n\"Answer: -4*l**3 - 15385*l**2 + l + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9027 and 65790?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -436996*h + 873976*h - 436991*h.\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 151763 + 0.042598\nAnswer: 151763.042598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 109, 111, 121, 145, 189, 259, 361?\nAnswer: 501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-42*a + 26 - 26)*(8 + 0 + 1)*(2 - 4 + 4) to z + p*a and give p.\nAnswer: -756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 s when two letters picked without replacement from {l: 4, m: 1, s: 2, i: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xjxjjhjx. What is prob of picking 2 x?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 4896*x**2 - 357. Let p(l) = 55*l**2 - 4. Give 357*p(q) - 4*v(q).\nAnswer: 51*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2880, 2941, 3002, 3063, 3124?\nAnswer: 3185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -768*l**3 - 1 + 1 + 1078*l**3.\nAnswer: 310*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -18.99. Put -0.5, l, -2 in increasing order.\nAnswer: -2, -0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -50?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mb when two letters picked without replacement from dbddmbzdwbw?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 73, 72, 71?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*u + 178*u = -100*u + 6817 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.1 + 1. Which is the biggest value? (a) 1\/11 (b) z (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26ec (base 16) to base 12\nAnswer: 5924","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 = -9*q - 112 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2 - w - 6*w + 5*w - 12*w. Let j be p(-2). What is the highest common factor of j and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-1)*(-1 - -3). Suppose -4 = x*m, -5*d + m + 3*m + 48 = 0. Suppose d = 3*o + o. Solve -o*f = 4 - 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -167058, -335790, -506196, -678282, -852054, -1027518, -1204680, -1383546?\nAnswer: -1564122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 333240 - -2224433?\nAnswer: 3113223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.8 + -1. Let i be (-1)\/(-2) - 9\/10. Let p = 9317\/13971 - 1\/4657. Which is the closest to i? (a) p (b) j (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -518 + 516.918. What is n rounded to one dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1323232 - 23000?\nAnswer: -2012232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3273732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9596227 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t - 14. Let p(z) = -1. Let b(r) = m(r) - 10*p(r). Let f be b(13). Let s = 727 - f. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6622)\/(-2838))\/((-7)\/33)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 4*n**2 + 4*n + 3. Let s be k(-2). Let a be (26\/s)\/(2\/3). Let r(c) = a*c - 11*c - 5*c. Let d(v) = 2*v. Calculate d(r(w)).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of 65*r**4\/24 + 259*r**3\/6 + 8298*r**2. Calculate w(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*h = 2*m - 3896, -4 = m. Let d = h - 981. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 91*q + 4 - 186*q + 92*q as o*q + k and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16831 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 108 - 105. Which is the third biggest value? (a) 4\/5 (b) -7 (c) q (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 666855 a multiple of 365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13 - 15 - 9 + 5*z**3 wrt z?\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 348 and 1312.\nAnswer: 114144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.04731g in kilograms?\nAnswer: 0.07404731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 217794806 to the nearest integer?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 8:27 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -10*b - 48*b - 21. Let u(h) be the first derivative of 0*h + 13 + 2\/3*h**3 + b*h**2. Let k(y) = 2*y**2. What is k(u(p))?\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2. Let z(d) = -456*d**2 + 95*d - 95. Let c(r) = -19*r**2 + 4*r - 4. Let i(o) = 95*c(o) - 4*z(o). Determine i(f(l)).\nAnswer: 19*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257288.\nAnswer: 2, 29, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 g when four letters picked without replacement from {n: 5, o: 4, g: 5}.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33\/5 of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -799586 (base 12) in base 2?\nAnswer: -111011010110011110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 3:02 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5 = 8, -4*h = 4*u - 12. Let r(g) = g + 1. Let q(i) = 761*i - 36. Let m(c) = 899*c - 43. Let x(a) = 11*m(a) - 13*q(a). Give h*r(y) + x(y).\nAnswer: -2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + q - 1. Let t be x(1). Let f(w) = 3032*w + 2952*w - 6007*w. Determine f(t).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 4) in base 13?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -630 + -270. What is the remainder when (-12)\/10*(a\/(-8))\/(-5) is divided by 22?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 498 and 2337802485?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 - -43.0000017. Round v to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 7:00 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2215 (base 11) to base 2\nAnswer: -101101101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111111100000100 - 1110001101001?\nAnswer: -1001101101101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -24)*(15\/((-450)\/24))\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j*r**3 + 3*j - 335*r**3 - 209*r**2 wrt r?\nAnswer: -6*j - 2010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4932, 21215, 48348, 86331?\nAnswer: 135164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.024 + 0.036. Which is the nearest to r? (a) 3 (b) -2\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w + 611 = -1. Let l = -38 + w. Suppose 10*h + 5847 = l*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -251355, -251489, -251623, -251757, -251891, -252025?\n\"Answer: -134*c - 251221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 30\/(-9)*408\/20. Let n = o + 95. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 43126*g**2*x**4 - 30*g**2*x**2 + 363*g**2 + 25613*g wrt x?\nAnswer: 172504*g**2*x**3 - 60*g**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 3:48 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 9 + 3)*(x**2 + 2*x**2 + x**2) - 7*x**2 + 1 - 23*x**2 + 28*x**2.\nAnswer: -46*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1892711, -0.19, 1.\nAnswer: -1892711, -0.19, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 + -21. Suppose 3*t - 2*t = 3*x + 62, 4*x - 272 = -v*t. Calculate the highest common divisor of 14 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*h + 5*l, 2*h + 3*l + 10 = -2*l. Solve b = -h*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10330063 is divided by 689.\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 6:33 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/30756411 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/2, -3, 4, 14, -8?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f + 6*f - 2*f**4 - 5*f**2 - 3*f - 3*f + 4*f**2 + 893 as b + u*f**3 + k*f + c*f**4 + t*f**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*d**2*f**2 + 132*d**2 + 33*d*f*q + d*f - f**2 + 3*q wrt f?\nAnswer: -8*d**2*f + 33*d*q + d - 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 4*f + 2 + 3 - 3 - f**2. Let n be o(4). Let u(y) = 2*y**2 - 5*y**n + 0*y**2 + 3 + 2*y**2. Give u(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 8*s**2 - 10*s + 10. Let u be b(9). Let w(n) = -u + 2*n**2 + 0*n + 2*n**2 + 0*n. Give w(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24440 * -0.1\nAnswer: -2444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -170 - -295. Suppose 0 = 2*p + 3*p - a. Suppose 5 = o - q - 5, -o + 4*q + p = 0. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 8*b + 3. What is the tens digit of p(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -i**4\/12 + 130*i**3\/9 - 383*i**2\/6 + 254*i\/3 + 3800. Factor c(p).\nAnswer: -(p - 127)*(p - 2)*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.077 (b) 5 (c) -0.4 (d) -14\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -151*l**6\/30 + 105*l**2\/2 + 73*l - 207. Let u(j) be the first derivative of t(j). What is the derivative of u(b) wrt b?\nAnswer: -604*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*o - 2. What is the smallest common multiple of 87\/24 + 4 - (-3)\/o and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/12528 and 5\/288?\nAnswer: 25056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 1 + -4 + -4*(sqrt(19)*-1 - sqrt(19) - sqrt(19)))**2.\nAnswer: -78*sqrt(19) + 3220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o**2. Let i(h) be the third derivative of 3*h**2 + 1\/3*h**4 + 0*h - 1\/6*h**3 - 4. Give i(n(k)).\nAnswer: -24*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -40.80761\nAnswer: -122.42283","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**3 - 3*v**2 - 2. Let r be l(-2). Let f be -5*r\/(-25)*(-2)\/6. Solve 0*t = -f*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 486499943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**3. Suppose 2 = -b - b. Let c be n(b). Suppose -2*z + 6*z = 12. Solve -z*s + 22 = i + s, -c*i + 3*s = 11 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 5. Let b(z) be the first derivative of z**2\/2 + 9*z - 3. Let p be b(-9). Sort p, s, -2.\nAnswer: -2, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9513 (base 10) to base 8.\nAnswer: -22451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -12100917.18 to the nearest one hundred.\nAnswer: -12100900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -169, -381, -593?\n\"Answer: -212*q + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/2 - (-169)\/26. Suppose -y*l + 2*l + 28 = -2*g, -l - 2*g = 3. Suppose -l*c = 46 - 171. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*d*h*v**2 - 760050*d*h - 2430*h*v**2 + 6*h + 3*v**2 - 2*v + 3 wrt d.\nAnswer: -13*h*v**2 - 760050*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/(-35) - 1472\/(-7). Suppose -8*g + c = -3*g. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*d**2 + 5*d**3 - 2*d**3 + 6*d**2 + d**3 = 0. What is d?\nAnswer: 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + -1 + (23 - -81446). Suppose -12*a + 2*a = -o. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -6336*j**2 - 15*j + 15. Let z(t) = -2189088*t**2 - 5184*t + 5184. Give 1728*l(y) - 5*z(y).\nAnswer: -3168*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -483478706*u**2. Let i(f) = 2*f**2. Determine p(i(w)).\nAnswer: -1933914824*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j*j\/(j**0\/j)*j*j))**(-7\/2)*(j*j*j**(-1\/2)*j)**(-2\/13)*(j\/j**(-8)*j*j*j**(-2))**(3\/29) assuming j is positive.\nAnswer: j**(13607\/754)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6973 is divided by 2240?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26218075?\nAnswer: 5, 13, 80671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*o = -o + 12, 24 = 2*z + 2*o. Suppose -x + 2*x = z. Solve 4*l - x = -24 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 11*m + 12. Let r be h(10). Solve 4*c - c + r*t = 15, -12 = -c - 3*t for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4 - 3)*18*2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 1157*b**3 - 6*b**2 - 62*b - 58. What is y(-1)?\nAnswer: -1159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-5))**(-32)*(j**(-4)*j)**(2\/11))**36 assuming j is positive.\nAnswer: j**(50472\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13091 in -0.7, 0, 1?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from axkxp. What is prob of sequence kx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 11:20 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s - 23*s**2 + s + 16*s**2 + 4*s.\nAnswer: -7*s**2 + 13*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 1943*u - 75790. Determine n(39).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4840109 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10432 - -13?\nAnswer: -10416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36944 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/15 - 3\/(-18)*-2. Suppose -5*t + 3*t + 0*t = h. Solve 3*s + 4*b + 11 = t, -5*b = -3*s + 11 + 23 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 + 31. Let y be (-1)\/v + 165\/12. Let o = y + 10. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -5*t**2 + 6*t - 9. Give v(3).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5*(sqrt(7) + -3) + sqrt(49)\/sqrt(7) + 0.\nAnswer: -11 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11198 and 2519?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 11*w - 5*c + 3*c + 69 = -19*w, -w = 5*c - 6 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48 - 62*z**2 + z + 48 + 46 - 144 to x*z**2 + p + g*z and give x.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 0, 107, -1.\nAnswer: -1, 0, 1, 3, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 146 and 272?\nAnswer: 19856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6390c + -4?\nAnswer: 63908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in 4, 756, -1\/2, -0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 7*t**2 + 4*t + 8. Let p be k(7). Let v(x) = 6*x - 36 + p. Let w be v(8). What is the highest common factor of w and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3562 + 3513.38. What is o rounded to zero decimal places?\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 327310537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -5*g + 11, 0 = 8*a - 5*a - 4*g for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 2279 = -19*a - 2370, 3*i - 115 = -5*a - 2*i for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 139442?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5*j + 394 = 0, 6 = 7*j - 4*j. Does 7 divide (19\/((-1140)\/r))\/(2\/35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -51 (c) 3 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 2\/4613, 5 in decreasing order.\nAnswer: 5, 2, 2\/4613, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 1 + 2 + (-2 + 0 + 1)*(-4 - 2 + 4))*(-1 - 3*u + 1)*(-3*u**4 + 3*u**4 + 2*u**4).\nAnswer: 36*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4031 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 5. Let p be (1 + 2)\/(17\/17). What is the nearest to 28 in 1\/5, u, p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2241237 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 130 + -22. Is 1*(-3 + (n\/4)\/1) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 10688 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3480*l - 5. Let t(w) = -25*w**2 - w. Determine a(t(y)).\nAnswer: 87000*y**2 + 3480*y - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 366*b + 15 = u + 1, b = -4*u + 154 - 98 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**3 - 144 + 152 - 31*p - 10*p in the form w*p + r*p**2 + d*p**3 + i and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5707 - 5686. Calculate the remainder when 97 is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -10 + 1. Let u = l - -9. Suppose -m = -u*m + 5800000. Round m to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13318, 13319, 13320, 13321, 13322?\nAnswer: 13323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/3)\/(1\/(-12))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 8*v. Suppose 37 = 5*m - o, -m + 4*o + 2 = 2*o. Let y be z(m). Suppose -2*p + 4*p - 8 = y, 30 = 2*q + 3*p. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + -12 + 33 + -3 + -3 - -13.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 3:51 PM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 1:28 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.012 + 0.988. Which is greater: m or -10?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121141 divided by -240.\nAnswer: -121141\/240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 455107739 to the nearest integer?\nAnswer: 769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.33 rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -683*g**3 + 25*g**2 - 50*g**2 + 25*g**2.\nAnswer: -683*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 487 divide 20842064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 8*d. Let l(v) = v**3 - 11*v**2 + 18*v + 1. Let i be l(9). Let k be q(i). Solve 2 = -k*g + 6*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1016 and 11.\nAnswer: 11176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 185021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -148\/3*w - 4\/3*w**2 - 176 = 0?\nAnswer: -33, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1\/5)*t**(1\/9))\/(t**4\/t**5)*(t**(-1))**(-17)*t**(-2\/13)*(t*t**(-7)\/t)\/t assuming t is positive.\nAnswer: t**(6293\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 41213 - -131911281\nAnswer: 131952494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 44966453869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**3 - 19*u**2 - u + 84. Give t(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*t - 3, -5*t = -2*p + 110. Suppose 0 = j + 4*j - p. Suppose 4*w + i + 2 = 20, 5*i = -j. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qafb when four letters picked without replacement from tbqfa.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(2\/2)*4\/30.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 973 divided by -973.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -s**6\/120 + s**3\/6 - s**2\/2 - 3*s. Let p(k) be the first derivative of q(k). What is the first derivative of p(j) wrt j?\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of 7*c**4\/24 - c**3\/3 - 4*c**2. What is the units digit of t(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 9*r**2 + 23*r + 14. Let b be g(-11). Solve 3*w + 1 = v, w - 15 = 4*v + b for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 4082*b + 556*b - 1 - 3149*b.\nAnswer: -6675*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-56*y + 97 - 97)*(-4*y + 7*y + 15 - 4) in the form d + m*y**2 + z*y and give z.\nAnswer: -616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = x - 4, -2 - 3 = -5*k. Factor 4*b**2 + 0 + 6 + x - 2 - 8*b.\nAnswer: 4*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49 - 1408\/33)*6.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 25*r**2 + r - 25. Let p be s(25). Suppose p = -123*n + 122*n + 528. Is 8 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4662*0.1\nAnswer: -466.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 280641?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + f**2 - f. Let o(h) = 11*h**3 + 4*h**2 - 5*h. Determine -5*c(a) + o(a).\nAnswer: 6*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-5)*b**(-8\/5)*b)\/(b**(-3\/8))**(-2\/29) assuming b is positive.\nAnswer: b**(-3263\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 2085210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*a + 6 = -138*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than or equal to -17\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005236236 to seven decimal places.\nAnswer: 0.0000524","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4377?\nAnswer: 3, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -9c6a24?\nAnswer: -9c6a22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66885, -66883, -66881, -66879?\nAnswer: -66877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 13*q**2 + 917*q + 3071. Determine n(-67).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8170569 and 1584.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.1 (b) -2\/3 (c) 0.4554 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42 - 11. Solve 4*q - 2 = -14, h = -4*l - 5*q for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 535, 2081, 4641, 8215, 12803, 18405?\nAnswer: 25021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and (-8)\/((-6)\/(-6))*(-1 - 1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 532.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13357 is divided by 121?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 11:34 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 + 30)*(-2)\/6 + 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - -1 - ((1 - 32) + -395 + 415)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-30362)\/(-17))\/(-38))\/((-7)\/7)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*k**4\/5 + 1618*k**3\/5 + 7014*k**2\/5 + 7902*k\/5 + 2484\/5 = 0.\nAnswer: -69, -3, -1, -6\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-80)*72\/3\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 82.61796g?\nAnswer: 82617960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -152 divided by -8770\nAnswer: 76\/4385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, b: 3, c: 2, p: 3, r: 6}. What is prob of sequence pbgb?\nAnswer: 9\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v**2 - 2*v**2 - 5*v**2 + (6 - 4 + 3)*(2*v**2 - v + v).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 32\/63 + (-4)\/14. Suppose 15*f - 4 = 11*f. Is f at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 268*x**3 - 58*x**3 - 65*x**3 - 68*x**3 - 72*x**3.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s**2 + 4. Let a(m) = -2*m**2 + 3*m. Let f(q) = -3*q**2 + 6*q - 1. Let l(x) = -2*a(x) + f(x). Determine -2*l(k) - u(k).\nAnswer: -6*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11225212 (base 6) to base 12.\nAnswer: -148208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 137 - 137.93. Let l = -1.01 - t. Which is greater: -3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(1872)*-1)**2.\nAnswer: 1874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*f - 34*f = 30. Let p = f - 0. Let q be 0 + 2 + (-66)\/24. Which is the second smallest value? (a) p (b) 1 (c) 0.2 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 + 0*o - o + 0*o + 55.\nAnswer: -o + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(1250)*-2 - sqrt(1250)) + sqrt(1250) - sqrt(1250)) + 6*sqrt(1250)*2)\/((sqrt(2560) - -2*sqrt(2560))\/(-1*sqrt(64)))*5.\nAnswer: -75*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 8208*c - 21. Suppose -173*o + 9 = -164*o. Is u(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 198 - 197.9. Put v, -4, 4, -0.01 in increasing order.\nAnswer: -4, -0.01, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 550936, 2203732, 4958392, 8814916, 13773304, 19833556, 26995672?\nAnswer: 35259652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*b - 6. Let w(y) = -5*y**2 - 8. Let h(i) = -2*i**2 - 4. Let x(r) = b*w(r) - 5*h(r). Find the first derivative of x(f) wrt f.\nAnswer: -10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 6:27 AM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -8980167.\nAnswer: 1\/8980167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3241727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-364)*(-464 - 30)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5*x + 6 - 28 = 0, 0 = -t - 3*x + 18. Let s = 18 + -15. Factor s*g + g**3 + t*g**2 + 2*g**3 + 15*g**3 + 0*g**3 + 12*g**4 + 3*g**5.\nAnswer: 3*g*(g + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/2*x**2 - 125\/6*x + 41\/3 = 0 for x.\nAnswer: 2\/3, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 9:33 PM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-3 - (-16)\/6). Let v be (2559\/r)\/((-2)\/6). Suppose -v - 386 = -3*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 101 + 19. Suppose 0*b = -4*b - 488. Let a = b + v. Is a greater than -12\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((24 - 28) + 16\/5)*(-90)\/12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3393, 6779, 10163, 13545, 16925, 20303?\nAnswer: 23679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10616123381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -67*a**4 + 27*a**3 + 368*a**2?\nAnswer: -1608*a + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -eb - -49eec?\nAnswer: 49e01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*i**2 - 3*i**3 + 2*i**3 - 12*i**2 + i - i**2 in the form o*i**3 + k*i + q*i**2 + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -52\/3. Let k = -4.02 + 0.02. Let c = -4.8 + -0.2. Sort k, c, f in ascending order.\nAnswer: c, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1341510?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11779.\nAnswer: 11779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47\/180 + 3\/20. What is the second biggest value in -28, d, 1\/2, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, 0, 3, -14, -57, -132, -245?\nAnswer: -402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 161994, 161989, 161984, 161979, 161974?\nAnswer: 161969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 q when four letters picked without replacement from {k: 2, q: 6, z: 10}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116, 830, 2770, 6548, 12776, 22066, 35030, 52280?\nAnswer: 74428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.215762 millilitres?\nAnswer: 0.008215762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + f - 3*f)*(28*f**2 + 2*f - 2*f) - 4*f - 35*f**3 + 4*f.\nAnswer: -91*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 17.3 = 603124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -572057271934?\nAnswer: -572057271924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjgj when four letters picked without replacement from jjjjgjjggjjjjjjgggg.\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c. Let l(f) = 13*f + 3. Let x(s) = -119*s - 28. Let j(z) = 28*l(z) + 3*x(z). Suppose 0 = -6*i + 9*i + 3. Determine i*j(y) + 2*d(y).\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -2, 128 in descending order.\nAnswer: 128, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 52490, 8, 1\/23?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9297.\nAnswer: 3, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, j: 7, z: 1}. What is prob of sequence jz?\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 0, b + d = 2*b - 7. Suppose -b*q + 10*q = 162. Is q a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + -1223431631\nAnswer: -1223431630.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - -4) + -2 + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 divided by 395.\nAnswer: 23\/395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 127804 (base 9) in base 4?\nAnswer: 103001212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 188669 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 5*x + 11, 4*v - 2*x - 7 = 3*x. Are v and -3\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1218 bigger than -176511\/145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 4, -2, -497?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 147 + -177. Let o be ((-8)\/12)\/(4\/t). Sort o, 51, 4 in descending order.\nAnswer: 51, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-12)*5744\/(-2154)?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/82, -1\/4, 4, 2, 1\/4, -150?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48777892*g**2 + 48777895*g**2 + 0*g - 4*g.\nAnswer: 3*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + 61*n + 6*n**4 - 14*n**4 + 6*n**4)*(-n - 2*n + n + (-4*n + 3*n + 0*n)*(-4 + 2 + 1) - n + n - 2*n + 4*n - 6*n + 4*n + 2*n + 3 - 3).\nAnswer: -2*n**5 - n**3 + 61*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -113 - 2023214?\nAnswer: -2023331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0029903 and 6?\nAnswer: 6.0029903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12\/17 - -359\/51. Calculate the common denominator of 28\/257 and v.\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-27)\/(-18)*2\/(-3). Let j be 15\/(-3)*2\/2. Which is the smallest value? (a) -2 (b) j (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3197 is divided by 2757?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-6)\/120*-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1020232332 (base 4) to base 9\nAnswer: 503600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 95*c - 2. Let h be x(1). Suppose 0 = -2*d - 3*j + 64, -5*j - h - 41 = -3*d. Suppose -3*w = -5*w + 38. What is the greatest common factor of d and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10225051 - -1?\nAnswer: 10225052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 5*w + 12 = 0, u + 3*u - 4*w - 12 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 367, 443, 521, 601, 683, 767?\n\"Answer: q**2 + 73*q + 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 8:10 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 plus -1.62225?\nAnswer: -1.58225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 440*c**2 + 18*c**3 - 213*c**2 - 217*c**2 in the form j*c**3 + k + s*c + n*c**2 and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4 + -45)*3\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47 - -50. Solve 9 = c*m - 0*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158958 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -398*z + 2*z**3 + 202*z + 196*z.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4\/7 + 0 + 24\/(-140)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 1597?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 3 - (8 + (3 - 6)). Put -3, 3, 0, z in ascending order.\nAnswer: z, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5739 - 2857 - 2882 + 59*x**3 - 3*x**3.\nAnswer: 56*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22668.03 days to hours.\nAnswer: 544032.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 w, 1 z, and 1 e when four letters picked without replacement from {w: 1, n: 1, e: 2, z: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 230 + 0)\/(-23 - -37 - 13). Solve 3*a + x - 229 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (2 + 1 + 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.16 + 3.84. Let g = 2.94 - -0.06. Sort j, -0.1, g in decreasing order.\nAnswer: j, g, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -43.18.\nAnswer: -21.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 45484.71 decades?\nAnswer: 5458165.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1\/(-2))\/(-4*(-4)\/(-17280))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u + 24. Let a be g(12). Is 4 + -1 - (a - -109)*-2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 30*d**2 + 104*d - 163. Let t be j(33). Let g be 2\/1 + 24\/(-13). Which is the closest to t? (a) -2\/3 (b) g (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -116979440.8 to the nearest 1000000.\nAnswer: -117000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 1533 + 4*l**2 - 1533. Let t(w) = 7*w**2 + w. Give h(t(k)).\nAnswer: 196*k**4 + 56*k**3 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 2481743?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -749*t - 335 = -687*t + 285 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**2 + 519508890*x - 13494474339451605 = 0. Calculate x.\nAnswer: 51950889","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186324 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 264721272 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1609719 >= -1609590?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 5, 392353 in descending order.\nAnswer: 392353, 5, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0 (b) 9\/8 (c) 0.1 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(1\/(-5))*2. Let m be (u\/(-4))\/(9\/(-18)). What is the third biggest value in -0.3, m, 0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 2. Let d be 2\/4 + 366\/j. Suppose g + h - 21 = 0, -3*g = 5*h - d + 31. What is the greatest common factor of g and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 7*z**2 - 2*z + 20. Let d be s(6). Suppose d = 15*w - 10*w. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + z. Let b be m(0). Suppose 3*o + 2*y - 493 = b, 0 = -5*o + 2*o - y + 488. Suppose -p = -5*s + 4307 + o, -s + 4*p + 905 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-18)\/((-8)\/42*2 + 70\/735)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 972 is divided by 195.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 35*q + 1874. Let x be n(-53). Calculate the highest common divisor of 475 and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4*h + 105 = 0, 0 = -2*h - 10. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16.3471 - 0.1169888\nAnswer: -16.4640888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from rtrfrrbrrrft.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7515 + -7362. What is the greatest common divisor of 11169 and j?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 + 15 = -3*s - 5*a, s - 4*a = 7. Let i be 3\/s + (-34)\/(-3). Suppose i*y - 12*y = -28. Is 14 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4753480, -4753475, -4753470, -4753465, -4753460, -4753455?\n\"Answer: 5*m - 4753485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -17380\/23, -3\/5, 1 in descending order.\nAnswer: 1, -3\/5, -17380\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 20*h = -22*h + 26682, b - 6684 = 4*h. Calculate the remainder when b is divided by 75.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kecu when four letters picked without replacement from {d: 2, c: 3, k: 3, s: 1, u: 2, e: 4}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 756 a factor of 3959111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3890 divided by 778.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 7446 divide 1749713202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 547, 2044, 6095, 13972, 26947?\n\"Answer: 212*n**3 + 5*n**2 - 2*n + 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j - j - 5*j - 2*j + 4*j - j + (-j - 5*j + 4*j)*(1 + 0 + 0) + 2*j + 0*j - 3*j to the form g*j + l and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*z + 36*z - 27948. Calculate the remainder when z is divided by 84.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 44698 = 2*d, -55876 = -5*l + 237*d - 238*d. Calculate the greatest common divisor of 75 and l.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 11 - 5*i)*(28*i**3 + 97*i**3 - 81*i**3)*(2 - 1 + 2).\nAnswer: -660*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -145 - -264. Let t = o - 104. What is the lowest common multiple of t and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -68 + 11. Let r = 132 - 133. Let q = o + r. Calculate the smallest common multiple of 24 and q.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-103574)\/(-12))\/((-133)\/(-798)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223441*h + 82 = 3*y + 223437*h, -3*y = 2*h - 58 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/10 and 43\/8879?\nAnswer: 88790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.77 or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3020332 (base 5) in base 7?\nAnswer: 260401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/7))**(-4)*u*u\/(u*u**(2\/11))*u**(-3\/4)\/u)\/(u**(-1\/3)*u*u\/u**(-3))**(-6\/41) assuming u is positive.\nAnswer: u**(11289\/12628)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**4\/15 - 582*l**3\/5 - 6958*l**2\/15 - 1738*l\/5 = 0?\nAnswer: -869, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -79\/580?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2733, 2728, 2723?\nAnswer: 2718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -109 at most as big as -110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(75) - (1 + -1*sqrt(75)))*2 + -3 + -2))**2.\nAnswer: -4480*sqrt(3) + 19984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 347\/1602 + 1\/178. Let q = 2.4 - 0.4. Let d = -17\/541 - 456\/2705. What is the nearest to x in d, -3, q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -745 + 36?\nAnswer: -707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7799 (b) -7\/8 (c) 2\/15 (d) 12 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -3871799 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, v: 4, o: 5, z: 2, r: 4}. What is prob of picking 1 z and 1 r?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -25, 12, -0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -577711412, -577711415, -577711418, -577711421?\nAnswer: -577711424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 12*m**2 - 245*m - 1252. Let t(a) = -7*a**2 + 123*a + 626. Let c(g) = 3*n(g) + 5*t(g). What is the first derivative of c(p) wrt p?\nAnswer: 2*p - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 603 = 3*w, 38*i - 37*i - 3*w = 99. Solve 0*n - i = 28*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/8 greater than or equal to 3437?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 157939 + -157936. Let k(n) = -n**2 - 8*n. Let q be k(-6). What is the greatest common divisor of q and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45224720 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-34)\/(-6) - 10\/15. Suppose 0 = 2*c - j*c - 5*i - 15, -6 = 2*c + 2*i. Let v be ((-3)\/(-6))\/(5\/(-8)). Which is bigger: c or v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 70 + 0*h - 4\/3*h**3 + 0*h**2. Let s(r) = -r. Give s(u(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 6.6. Sort s, -3, 1\/4 in decreasing order.\nAnswer: 1\/4, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.297565821 rounded to three dps?\nAnswer: -0.298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/3))**30\/(w**2\/w**(1\/5)) assuming w is positive.\nAnswer: w**(41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - s**4 - 2)*(-2 - 29 + 6) + (-3 + 3 + s**3)*(-2*s + 2*s - 2*s).\nAnswer: 23*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 5 = 5*u + 12, 2*o - 4*u = -4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*o**4 - 4975847*o**3 + 2*o + 496394377 wrt o?\nAnswer: -8*o**3 - 14927541*o**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 = -88*l + 1381 + 830 for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 - 31. Solve 2*a + y*p = 3*p, -1 = 3*a + 2*p for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 18*g + 72. Let z be a(-4). Let i be -1 + z\/(2*3\/(-6)). Suppose -5*l - 5 - 10 = 0. Sort 13, l, i in decreasing order.\nAnswer: 13, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6002 divided by -2.\nAnswer: -3001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**3 - 3*s**2 - 6*s**3 + s**2)*(0*s**2 + s**2 + s**2).\nAnswer: -10*s**5 - 4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + 18350.01.\nAnswer: 18352.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33803550.\nAnswer: 2, 3, 5, 11, 6829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 20*c**2 - 56*c - 721. Calculate b(-19).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 5 + 7. Suppose -30 = -5*i + 7*h - 2*h, 0 = -i - c*h - 9. Suppose w = 2 + i. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 10:03 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, m: 1}. Give prob of sequence hmhh.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1233 = -3*i + 3975. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 97\/4? (a) 3 (b) 0.3 (c) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 0 - (4*-63)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/11, -11\/10, -2, -0.2, 3 in increasing order.\nAnswer: -2, -11\/10, -0.2, 1\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 3:41 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -136059*z**3 - 837*z**2 - 2511*z + 837. Let n(j) = -651*j**3 - 4*j**2 - 12*j + 4. Determine 837*n(i) - 4*q(i).\nAnswer: -651*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 2, 4, -3 in ascending order.\nAnswer: -5, -3, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 2*j + 371005 = 0, 2*s - 2*j - 223071 + 74683 = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -154 - -142. List the prime factors of 3190\/18 - u\/(-54).\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16.6 + 17. Which is the third smallest value? (a) 2 (b) h (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 30575 = 2*i, 19*o - 22*o = -5*i + 76460. Is i a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + (4 - (31 + 1)). Let q = c - -32. What is the lowest common multiple of q and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + p = 2*p + 22, -p + 13 = -2*u. Let l = u + 8. Suppose -v + 0*c = -l*c - 4, 5*c + 16 = 4*v. Solve 3*r - 2 = v for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1638\/33)\/(-7) + 13 + -6. What is the nearest to -0.2 in b, -98, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -479?\nAnswer: -481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0 + 422\/(-455) + 2\/15*3 and -31\/357.\nAnswer: 4641","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 335*w + 170. What is the tens digit of f(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -19415?\nAnswer: -19413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 4*b**2 - 6*b. Let s be u(-5). Let x = 2 + s. Suppose 0 = 4*w - x*w + 144. Calculate the greatest common factor of 6 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 + 3)*(-3 - v + 3) + (1 + 1 + 1)*(-3*v + 8*v + v).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*n + 2 - 2)*(-422 + 1394 - 448) to z + o*n and give o.\nAnswer: 2096","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by -854.\nAnswer: -23\/854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3511041 (base 8) to base 5\nAnswer: 221024123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -1a?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppbbopopppppbppopp. What is prob of picking 2 b?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26436\/((54\/(-24))\/(44\/(-8) + 4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45616887?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -59079 > -9570631\/162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/9 (b) 35 (c) -2\/17 (d) 55 (e) -4 (f) -0.1 (g) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by -4.\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/11 and 16\/76663213?\nAnswer: 76663213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-38)*(-24)\/(-30). Which is the nearest to -1? (a) -1\/3 (b) h (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63494375.\nAnswer: 5, 7, 23, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -adc (base 14) to base 9.\nAnswer: -2853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1059*f**2 + 667*f.\nAnswer: 2118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 452*r**2 + 10*r**3 - 452*r**2.\nAnswer: 10*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**4 + 23060*i**3 - 138480*i**2 + 277040*i - 184720.\nAnswer: 5*(i - 2)**3*(i + 4618)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (294 - (-858600)\/(-2925)) + (-256)\/(-234)?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256961707.\nAnswer: 37, 61, 257, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -414402 divided by -69067\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*(-1 + sqrt(1053) + -2 + sqrt(1053) + -1*sqrt(1053)*1))**2.\nAnswer: 18*sqrt(13) + 1054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -228?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-355)\/(-25) - 11)*8318\/8. Let g = 3316 - y. Find the common denominator of g and -64\/35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 25 = -g. Suppose 25 + 46 = 5*m - x, -4*x + 66 = g*m. Solve -m + 4 = -5*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9587, -38345, -86239, -153233, -239291, -344377?\n\"Answer: 6*b**3 - 9604*b**2 + 12*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**3 - 20*n**3 + 107*n**3 - 28*n**3 - 30*n**3.\nAnswer: 29*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqwwhmnm. Give prob of sequence hmq.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -654 + 2*r - 655 + 1302 + (r + r + 0*r)*(3 - 1 + 0) + 2*r - 2*r + 2*r - 3*r + r + r.\nAnswer: 7*r - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 48130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j**2 + 0*j**2 - 4*j**2 + (0*j**2 + j**2 + 5*j**2)*(-3 - 3 + 4) - 8 + 8 + 2*j**2.\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 559651671.\nAnswer: 3, 109, 570491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-28))\/((-4680)\/2730) + 15\/(-28).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and 148808.9263?\nAnswer: 148804.9263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 266893 a multiple of 339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3 + 585128*i**2 + 42752342664*i - 6511881905856.\nAnswer: 2*(i - 152)*(i + 146358)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 18513497 to the power of 1\/2, to the nearest integer?\nAnswer: 4303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 34*l**2 - 92*l + 24. List the prime factors of m(26).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -833 from -1725762.\nAnswer: -1724929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.29 - 1.29. Let l = 36.6 - 37. Which is the nearest to t? (a) 2\/17 (b) l (c) -5.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1153.\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tbdd when four letters picked without replacement from bbbbbbbtbbbdbnbbtbd.\nAnswer: 7\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {f: 9, k: 10}?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 6:56 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/5)*k\/k**(-4)*k*k*k*k**(-5\/4)*k**(-4\/7))**(-33))**12 assuming k is positive.\nAnswer: k**(-80091\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 - 29. Let k = h - 12. Let u be ((-18)\/k)\/(4\/50). Solve -r = -5*z - 19, 2*r + u - 1 = -3*z for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3749 = 2*k, -g + 0 = -5. What are the prime factors of k?\nAnswer: 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*w - 385 = 35*w. Let k = w - -98. Suppose 5*y - 4 = k. Solve 4*d - 30 = -5*h, -y*d + 2*h + 23 = h for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**4 - q + q + (-2*q**2 + 3*q**2 - 3*q**2)*(2*q**2 - 3*q**2 - q**2) + 2*q**4 - 4*q**4 + 3*q**4)*(q - 1 + 1).\nAnswer: 3*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 21. Sort m, 1\/4, -3.\nAnswer: -3, 1\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 36, -34 in decreasing order.\nAnswer: 36, 0, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*v - 22*v - 1111858 = 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**3\/4 - 400759*a**2\/4 - 1603049*a\/4 - 1202289\/4 = 0. What is a?\nAnswer: -3, -1, 400763","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -32*h + 29*h - 3, 5*h + 22 = j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -5*m**8\/336 + 11*m**7\/42 - 5*m**6\/12 - 53*m**5\/6 - 665*m**4\/24 - 245*m**3\/6 + m**2 + m. Factor g(u).\nAnswer: -5*(u - 7)**2*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 6:21 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -2*i - 3*j, 2*i - 12 = 4*j. Suppose 4 + 20*b**3 + 6*b**4 + 3 + 24*b**2 - 3 - i + 12*b = 0. Calculate b.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17*24.3.\nAnswer: -413.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9830 is divided by 7019.\nAnswer: 2811","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, q: 3, i: 2, a: 4}. What is prob of sequence ia?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -4*m**4 - 16134*m**3 - 24192*m**2 + 2*m + 8064 = 0.\nAnswer: -4032, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -330 - 16*r + 330.\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5546683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2239.\nAnswer: 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 times 44.83?\nAnswer: -4572.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*z + 17*z - 7*z)*(0 + 0 + 2) + 7 + 3 - 9 + 16*z as b*z + o and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p + 2. Let f(u) = -u**2 - 5*u + 5. Let j(l) = -2*f(l) + 5*x(l). Let v(w) be the first derivative of -22*w**2 - 2655. Calculate v(j(k)).\nAnswer: -88*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1382, 5521, 12422, 22085?\nAnswer: 34510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 11 = -a, 0*a - 2*a - 10 = 5*t. Let q be (3 - -2)\/a*-9. Solve -q*w - 16 = w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17797679921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 288 + -134?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 260, 1985, 4850, 8849, 13976, 20225, 27590?\nAnswer: 36065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2771, -5131, -7491, -9851, -12211?\n\"Answer: -2360*t - 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 991, 3, 30 in increasing order.\nAnswer: 3, 30, 991","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -9. Suppose -4*m = 0, 3*m = 4*w + 3 + 1. Let y = w - b. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36*v**4 + 34*v**3 + 326*v**2 - v - 103693.\nAnswer: -432*v**2 + 204*v + 652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 224 = 156. Let o = -49 + g. List the prime factors of o.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32429366\/109 at least as big as -297517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50643618?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 377 = 7*c - 106. Calculate the remainder when 344 is divided by c.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1839 divide 93341626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 65\/16 equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o = 14*o. Suppose o = 2*p - g - 9, -21 = -5*p + 2*g + 2*g. Solve -5*i + p*q + 20 = 0, -i = -3*q + q - 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3134 (base 7) in base 9?\nAnswer: -1455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - 4*3\/6. Suppose -5*s + 272 = 4*u, 2*u + 59 + x = s. Calculate the greatest common factor of s and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j - j + 3*j. Let n be h(4). Suppose -21 - 39 = -n*u. Is 7 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 9*r**2 - 10*r + 1. Let z be v(-10). Suppose -2*h + 1 + z = 0. What is the remainder when 1 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150 times 8.80996?\nAnswer: -1321.494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand f + 3*f - 5*f - 2*f + 0*f + 3*f + (-3 - 1 + 2)*(4*f - 2*f - 4*f) + 3 - 5*f - 1 + 8*f.\nAnswer: 7*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from ddddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4211053356 to the power of 1\/3, to the nearest integer?\nAnswer: 1615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2911*k - 2911*k - 20232*k**2.\nAnswer: -20232*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 6:23 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28273*o**3 + 4 - 4 + 68988*o**3.\nAnswer: 97261*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132267?\nAnswer: 3, 44089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39859 - 39747. Solve -243 = m*w + 317 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 21, 38?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -600 - 612 + 1212 + 13*c.\nAnswer: 13*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3263+-60\nAnswer: 3203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 244566 and 647?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 10*x**2 - 26*x + 20. Let c be s(12). What are the prime factors of c\/(-12) - 1498\/(-6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sr when two letters picked without replacement from bbbbbbbassrbbbb.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 5*p = 1, -4*k - 4*p + 0*p = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133 = 31*c - 22 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5 + 4\/5*d**3 + 0*d**2 + 2\/5*d**4 - 4\/5*d.\nAnswer: 2*(d - 1)*(d + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**4 - z**3 + z**3)*(5*z - 3*z - 3*z) + 1206*z**4 - 1186*z**4 - 2*z**5 + 5*z**5.\nAnswer: z**5 + 20*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 7)*(3 + 1 - 1)*(0*j**2 - j**2 + 2*j**2 + (9*j**2 - 2*j**2 + j**2)*(4 - 5 + 2)).\nAnswer: -81*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -62, -134, -230, -356, -518, -722, -974, -1280?\n\"Answer: -j**3 - 6*j**2 - 47*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven halves of a centimeter?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 126985 and 466?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 237194645 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 4*y - 22, 0 = -6*y + 2*y + 4*k + 4. What is the units digit of (-114)\/(-27) + y\/(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 509, -0.19, 8.9, -2 in decreasing order.\nAnswer: 509, 8.9, -0.19, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -92 + 46 - 20*a**4 + 52 - 2*a**2 wrt a.\nAnswer: -480*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3e9e4 (base 15) to base 3.\nAnswer: -101020012221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 4*c = 6, 4*c = -4*b + 10 - 14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**5 + 0*a**2 + 0*a**2 - a**5 + 4*a**5 - 4*a**5 - 5*a**5 + 2*a**5 + a**5 + (3*a**3 - 3*a**3 + a**5)*(1 - 1 + 1) + 279*a**5 + 595*a**5 + 627*a**5.\nAnswer: 1498*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + m - 4. Let f(g) = g**2 + g. Calculate -2*f(d) + n(d).\nAnswer: -d**2 - d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*t + 28*t = -t + 1612. Let y = 66 - 41. Let d be (-10)\/y - 34\/(-10). Solve 0 = -i - 4*q + t + 8, i = d*q - 7 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14214\/(-26059))\/((-29)\/(-11)).\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 + 4 = -2*b. Let p = b - -22. Let t be (-2 - -3) + 1*10. Solve -p*q + 9 = -t for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 655848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 12:38 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 211 = -5*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4131)*1)\/((sqrt(3) - sqrt(6)\/sqrt(72)) + sqrt(3)))**2 + (3*((-2*sqrt(187) - sqrt(187)) + sqrt(187)) - sqrt(187))\/(sqrt(1584)*3 + sqrt(1584)).\nAnswer: -7*sqrt(17)\/48 + 49572\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -l**4\/6 + 2*l**3 + 8*l. Let j(s) = -s**2 + 5*s. Let r = 14 - 26. What is r*j(h) + 5*o(h)?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -10552 and -10572 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 8*l**2 - 4*l + 4*l**3 + 2*l**3 + 7 - 7*l**3 + 0*l. Suppose -a = -8 + 3. Let n be z(a). What is n rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 104.7098ml?\nAnswer: 0.1047098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 + 29. What is the second biggest value in w, -0.5, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 4*h**4 - 132*h**3 - 3604*h**2 - 3468*h = 0.\nAnswer: -17, -1, 0, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 1:29 PM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three sevenths of a week in days?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a + 1 + 1 - 1 + (2*a + 1 - 1)*((1 + 1 + 0)*(1 - 2 + 2) - 16 + 4 - 14 - 1 + 6 - 4).\nAnswer: -44*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 842 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3053 is divided by 205.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 28*m**2 + 23*m - 84. Let g be j(-27). Calculate the greatest common divisor of g and 588.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 15 = -3*v. Find the first derivative of -1 - 1 + 4*k + v wrt k.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-3)*((-540)\/10)\/18.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k + 45*k - 2262 = 0. Let c(l) = 2*l**3 - l**2 + l - 2. Let g be c(2). Suppose k = -g*h + 13*h. List the prime factors of h.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -2. Does 7 divide -2*(-7 + p + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 = -27*h + 5*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7679 divided by 7?\nAnswer: 1097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-8) - 9\/(-4). Suppose 0 = 23*u - 26*u + 15. List the prime factors of 26\/c + u + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*f - 3*f + 3*f)*(-20 + 20 - 9*f)*(2 - 4 + 4) as b*f + a + o*f**2 and give o.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -216*8\/48*-10. Suppose 4*h - 2*r - 134 = 0, 3*h - 2*r = -16 + 114. Calculate the greatest common factor of i and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/12)\/(-1)*114\/(-19)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 88 - 89. Sort 39, z, -2 in decreasing order.\nAnswer: 39, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + h**2 + 4*h + 3. Let f be q(-1). Let z = 17 + f. What is the smallest common multiple of z and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 739 in -4, -0.47, -6\/5, -2\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 2*z + 3. Determine q(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 11*d**2 - 90*d - 915. Calculate v(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 + 27*t**2 + 51*t + 25.\nAnswer: (t + 1)**2*(t + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7551202?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-3))\/(6\/(-18)) + -3. Put -0.3, 1, -1, v in increasing order.\nAnswer: v, -1, -0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18800792.\nAnswer: 2, 2350099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s = -99*s + 1848. Calculate the remainder when 1283 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20032253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -956 + -16b18?\nAnswer: -17771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 7*x**3 - 19*x**2 + 19*x - 1. What is d(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -256, -500, -894, -1438, -2132?\nAnswer: -2976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1186 - 1185.98954. What is y rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + s + 1. Let l(h) = 21*h**2 - 14*h + 26. Let f(r) = -r**2 + r - 2. Let x(z) = 14*f(z) + l(z). Determine -2*a(k) + x(k).\nAnswer: 5*k**2 - 2*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-27)*c*c*c\/(c*c**(14\/9)) assuming c is positive.\nAnswer: c**(-239\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2612216.4 hours in days?\nAnswer: 108842.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, s: 1, b: 6, p: 5, o: 6}. What is prob of picking 1 a and 1 o?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -7830 divided by -6\nAnswer: 1305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3090426 is divided by 3540.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*v + t, 17 = -v + 2*v - 5*t. What is the second derivative of -24*c**v + 9*c + 6*c**3 + 0*c**3 + 59*c**2 - 30*c**2 wrt c?\nAnswer: 36*c + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000059946 to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.12 in -143, 0, -32\/41, -0.2, -4\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9262 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 11*b - 2. Let l be j(1). Solve 4*z = 1 - l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.1, 0, -1292, 4.\nAnswer: -1292, -5, -0.1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j + 15. Let w be k(5). Solve 5 = 2*h + 5*u, 2*h + w = h + 5*u for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10063191*f*g**3 + 9*f - 2408*g**2 - 58 wrt g?\nAnswer: 60379146*f","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 4*b**2 + 3*b - 4. Determine s(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -483*a - 50915. Calculate h(-120).\nAnswer: 7045","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17800 is divided by 207.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 13 - 98. Let m = -21 - i. Suppose 5*f - 3*f - m = 0. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5356047?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 4:44 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 851 = 160*j - 14627. What is the lowest common multiple of j and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27.58 - 27. Let q = h + -0.579886. What is q rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192456 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4701846, -4701862, -4701878, -4701894, -4701910?\n\"Answer: -16*r - 4701830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 4*o - 3*d + 10, 0 = 2*o - d + 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 42*b - 43*b + 17 = 0, b - 5 = 0. Solve w + 2 - 25 = -i*m, 4*w - 27 = -3*m for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 >= 34656\/479?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -93*u**2 + 13*u - 7. Let c(n) = 21*n**2 - 3*n + 2. Determine -26*c(w) - 6*f(w).\nAnswer: 12*w**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 76005*5\nAnswer: 380025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 13*c**2 - 11*c - 9. Let z be y(12). Find the third derivative of 10*v**2 - 3*v**2 - z*v**2 + 5*v**3 wrt v.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 12675*f - 36. Let j(a) = -1817*a + 5. Give 15*j(q) + 2*s(q).\nAnswer: -1905*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 + 21 = 7*k. Let j be (-9)\/(-3426)*12\/k. Let h = 549\/6281 + j. What is the closest to -1 in -3\/2, h, 5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12623 (base 8) to base 10.\nAnswer: 5523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57 - -99. Let x = h - 15. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5472 = 41*i - 6*i + 3*i. What is the smallest common multiple of i and 4?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 5 = 13*s - 11*s, 2*s + o - 11 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8375 and 3685?\nAnswer: 92125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 4*f + 2. Let n be a(4). Let k be 1 - (1851 - -1*n). Let v = k + 40683\/22. Find the common denominator of 19\/20 and v.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2 - 10*k - 1. Let q(s) = 3327*s**2 + 32*s + 3. Determine -q(d) - 3*x(d).\nAnswer: -3333*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + -2.1. Let l = -0.139 + -14.261. Let g = -19.4 - l. Which is the closest to d? (a) g (b) 4\/3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -3*q**4\/2 - 2*q**3\/3 - q**2 - q - 4. Let y be o(-1). Suppose i + 212 = y*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207.964 weeks in hours?\nAnswer: 34937.952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 485876 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 577 is divided by 131?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14.89341 or 1?\nAnswer: 14.89341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2406 is divided by 1202.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 10:52 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - -52. Suppose 3*m + 3*m - 30 = 0. Let p be 35 + 1\/m*5. What is the greatest common divisor of g and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -4*n**4 + 32*n**3 - 80*n**2 + 64*n = 0.\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 - -19. Suppose -2*n = 2*x + x - 10, 0 = x + t*n - 10. Suppose 4*q + q - 10 = x. Sort 4\/3, -3\/2, q in decreasing order.\nAnswer: q, 4\/3, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205 = 5*s + 5*g, -5*s - 2*g + 82 = -120. Calculate the highest common divisor of s and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101000011 - 1?\nAnswer: -1101000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16.381 - 16.181. What is the fourth smallest value in d, 2, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 544 and 692512?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335 is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-99 + 86 - 92 - 273)*(-3 - 2*q + 3).\nAnswer: 756*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 99009000 to the nearest 100000.\nAnswer: 99000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v - 2 + 2 + (-2*v + 0 + 0)*(3 + 3 - 5))*(0 + 3 - 2 + 0 - 1 + 0 + (-1 + 4 - 4)*(7 - 14 - 16)) to the form g + c*v and give c.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -126612, -126215, -125818, -125421, -125024?\nAnswer: -124627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 354 divide 9040806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/(-12)*(-18)\/8. Solve -j - 5*h - 4 - 18 = 0, -3*j + m*h = -6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a**2 - 7*a - 7. Let b(k) = -6*k**2 - 8*k - 8. Let n(u) = -6*b(u) + 7*c(u). Let i be n(-5). Do -1\/5 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 a factor of 91989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5656 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f**2 + 87*f - 130. Let b be g(27). What is the greatest common divisor of 16 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -7 - 8) + 34\/8\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*s + 36*s = -40*s + 364. Let x(f) be the second derivative of 0*f**s + 0*f**3 + 0 + 1\/12*f**4 - 7*f. Let w(g) = -6*g**2. Give -w(l) - 5*x(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 12330.8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 0.9.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 0*b = 0. Let f(n) = b + 0 + 2*n. Let j be f(5). Calculate the highest common factor of 2 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 11:27 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 117*z**2 + 1849*z + 1290. Determine a(98).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - o + 2. Let w(p) = -5*p - 3*p**2 + 2*p + 0*p + 7. Let x(f) = 7*g(f) - 2*w(f). Find the second derivative of x(k) wrt k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 77 - 65. Suppose 0*n = -n. Let m(g) = -g**3 - g**2 + 2. Let j be m(-2). Solve n = 2*h - j*h + f for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - t)*(2109*t**2 - 7*t - 2112*t**2 + 3*t - 1).\nAnswer: 3*t**3 + 4*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/13? (a) -0.3 (b) 4 (c) 0.1 (d) 9.2 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72772254 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7045893?\nAnswer: 3, 260959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2)*(-2*r + 3*r - 3*r + (-r + 3*r - 4*r)*(-7 + 3 + 3) + 2 + 2*r - 2 - 2*r + 8*r - 12*r) in the form h + z*r and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2\/569, -0.03, -0.1, -11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8861 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1127 + 1652 - 759)*(-2*v**3 + 2*v**3 - v**3) + (5*v**2 + v**2 - 3*v**2)*(2*v + 2 - 2).\nAnswer: -2014*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 39369817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -4. What is the remainder when f is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n + 6. Let t be i(-7). Let m be -3 + 8 - (3 + 0 + t). Suppose 20 = -4*d, 0*j = 2*j - m*d - 13. Which is greater: j or -2\/127?\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.82051467 to one decimal place.\nAnswer: -11.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 384 - 138 = 2*i. Suppose -i*x = -115*x + 40. Let u(c) = 33*c - 12. Let q(n) = 13*n - 5. Give x*u(l) + 12*q(l).\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnldlflvdnvddn. Give prob of picking 1 l and 1 v.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 258 and 7902?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/9)\/(-2) + (-28528)\/(-24). Calculate the greatest common factor of m and 954.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1214, 1187, 1160, 1133, 1106?\n\"Answer: -27*q + 1241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 483 is divided by 479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 29661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(80) + 0)**2 - (2 + (1 + sqrt(80))**2) - -6*(-3 + 0 + -2*sqrt(80)).\nAnswer: -56*sqrt(5) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of q**6\/60 - q**5\/60 + q**4\/24 + q**3\/6 + 5*q**2. Determine s(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 3\/4, -7 in decreasing order.\nAnswer: 3\/4, -1\/6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (-5 + 3 + -1412). Let h = 910 + a. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*z + 21 = -12. Which is bigger: 376 or z?\nAnswer: 376","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w + w**2 + 0*w)*((-2*w + w + 5*w)*(2*w + 2*w - w) + 0*w**2 - 2*w**2 + 3*w**2) in the form b*w**3 + j*w**4 + o + z*w + v*w**2 and give j.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1112 divide 20958542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 5, 15, -5, 19 in descending order.\nAnswer: 19, 15, 5, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 498688638.\nAnswer: 2, 3, 7, 67, 177217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 622591363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10076?\nAnswer: 2, 11, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-58696)\/73370*(-12)\/6*1\/2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 11.9. Let g = 0 + w. Which is the biggest value? (a) -2 (b) 2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/424 and 111\/350860.\nAnswer: 701720","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Is 91377 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 3*n**2 - 3*n - 7. Let s be y(5). Suppose t - 10 = s. Suppose -3*k + 230 = t. Calculate the highest common factor of 8 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -288*c**2 - 269*c + 657. Give w(-2).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12 - -9?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -108.\nAnswer: 5\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 1. Let s = -0.1 - 0. Which is the closest to s? (a) m (b) -4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c - 3*c - c)*(101*c - 209*c + 104*c + 21) to the form y*c + j + d*c**2 and give y.\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + (0 - (-20)\/(-5)). Let t(k) = -k**3 - 7*k**2 - 3*k + 3. Let z be t(-6). Let x be (5\/z)\/(o\/4). Which is smaller: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4427*p - 495819. Calculate y(112).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + h - 1 = 16, 5*h = -4*p + 41. Suppose -3*b = -0*m - p*m - 10, -2*b - 1 = 5*m. Let z(d) = -4*d**b + 1 + 2 + 173*d + d**3 - 172*d. Give z(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k - 3. Let l(z) = 38 + 33 - 76 + 4*z - z. Calculate 2*l(x) - 5*t(x).\nAnswer: x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 817*z**2. Let y be p(1). What is the greatest common factor of y and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 13*v**2 + 11*v + 319. Give a(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 1616354?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3966 - -3969. Solve t*n - 7 = -z, -17 = -24*z + 20*z - n for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4 - 40*r**3 + 150*r**2 + 4500*r.\nAnswer: -2*r*(r - 10)*(r + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 5*t. Let w be (-4)\/10 + -2*(-2634)\/20. Let u(y) = 114*y + 128*y - w*y. What is u(p(a))?\nAnswer: -105*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -26?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of 0*p**3 + 0*p**2 + 5*p + 0*p**5 + 0*p**6 + 0*p**7 - 5\/12*p**4 + 0 - 5\/56*p**8. Find the third derivative of w(b) wrt b.\nAnswer: -600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2143647 and 399663.\nAnswer: 23580117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -6)*(3 - 2) + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -116*w + 266121 + 886914 + 5805. What is the remainder when w is divided by 3328?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -9600\nAnswer: -9597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -c**3 - 35*c**2 + 73*c - 37 = 0.\nAnswer: -37, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6110357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2845 - -2844.979613. Round r to 3 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7706615 and 11009450?\nAnswer: 77066150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - -3)*(1 - 0). Let t be (-2)\/4 - m\/(-2). What is the second biggest value in t, -1\/2, 0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*q + 5*q + 5*q**3)*(2*q - 3*q + 9 - 6) as d*q**3 + w*q**2 + k*q + c*q**4 + r and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20*(22\/8)\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 9:01 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 10 = 0, 2*k = 9*j - 5*j - 2. Let i = 20 + -17. Which is the nearest to 0? (a) i (b) j (c) 1 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/26277 (b) -5696 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -225, -423, -647, -915, -1245?\n\"Answer: -3*x**3 + 5*x**2 - 192*x - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1054 divided by 1?\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 4 - (7 - -1) - -4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 16788860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t*t*t\/t**(-11)*t)*t**(3\/19)*t*t)\/(t**(1\/3))**(-1\/16) assuming t is positive.\nAnswer: t**(-9869\/912)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (2 + -4 + (3 - 3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 105 - -267. Suppose -371*m + a*m - 3 = 0. Determine v, given that 0*v + 1\/2*v**m + 0 + 1\/2*v**4 - v**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -3\/5 (b) 0.275 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34332706 is divided by 149?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 - -21. Suppose 3*p + o = 4*d, d - p - 8 = -4*d. Let k be (-1600)\/(-252) - 5 - 8\/14. Which is smaller: d or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b - 4*b - 10*b + 4*b as s*b + y and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -10*r - 4. Calculate o(-3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 263133 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 4)*(52738 - n**3 + 7078*n - 52738).\nAnswer: n**3 - 7078*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 6*z + 7. Let v(d) be the second derivative of d**3\/6 + d**2\/2 - d. Let m(n) = -6*s(n) + 39*v(n). Let u be m(2). Solve 0 = -u*g - 2*g + 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01332 times -420.2?\nAnswer: 5.597064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21 take away -1140402777218?\nAnswer: 1140402777217.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b**2. Let m(u) = -2*u + 1. Let z(o) = -18*o + 4. Let p(w) = -4*m(w) + z(w). Calculate n(p(d)).\nAnswer: 400*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/27 and -5\/125937.\nAnswer: 377811","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -362050, -362119, -362188, -362257?\nAnswer: -362326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 109.4 + -101.4. Let i = 15 - 313\/21. Which is the closest to n? (a) i (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33889?\nAnswer: 33889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -3*p + 33, 3*p + 4*x = -2*p + 55. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 6*x - 29. Suppose -16*y + 6 = -15*y. Let i(g) = -g. Let a(l) = y*i(l) + p(l). Differentiate a(r) wrt r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0\/d)\/d*d\/d**(-2\/3))\/((d\/d**(-2\/7))\/d**2) assuming d is positive.\nAnswer: d**(8\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.44 + 3.9. Let z = -114783936 - -114783936.53999933. Let y = z + f. Round y to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -1\/210*t**5 - 1\/84*t**4 + 2\/7*t**3 + 0*t - 20*t**2 + 0. What is l in s(l) = 0?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of d**3\/6 - 3*d. Let y(g) be the second derivative of 5*g**3\/6 + 3*g. Give y(l(t)).\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 - 29. Let d = k + 110. Is 9 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/13, -1\/14, 2\/11, 0.2, 1\/3?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/4, -4\/3, -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -20. Let g = 41 + c. What is the highest common divisor of 11 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (5 + -5 + 7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 738 and (-5334)\/(-635)*(5 - 0).\nAnswer: 5166","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1392*c**2 + 2 - 685*c**2 - 706*c**2 - 4954*c to t + y*c + j*c**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 11*a = 265. Let n = a + -50. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 587774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0*w = 2, 5*w + 3 = c. Suppose -3*q = -11 + c. Sort q, 5, -4 in ascending order.\nAnswer: -4, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -653ead - -5?\nAnswer: -653ea8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -g + 26. Let f = g + 9. Put f, -1, -6 in decreasing order.\nAnswer: f, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -4*x - 6. What is m(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -t**3\/18 - 1213*t**2\/3 - 2942738*t\/3 + 12483. Suppose h(m) = 0. Calculate m.\nAnswer: -2426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313918 is divided by 394.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lnql when four letters picked without replacement from {l: 2, n: 1, f: 10, d: 2, q: 1}?\nAnswer: 1\/21840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 532*u - 539*u - 63000 = 0. Round u to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -121.\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 566 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1011046 (base 7) to base 13\nAnswer: -42a78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4167923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y**3 + 3*y**2 - 13*y + 11. Let t = 18 - 11. Suppose 12*k = t*k - 30. Is u(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1577876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/3))**(26\/9)*(s**(8\/5)*s)\/s**(-1) assuming s is positive.\nAnswer: s**(746\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -10.5 smaller than 987?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -1. Let b = r + -0.1. Let q = 0 - b. What is the closest to -0.1 in -0.2, q, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 15875703?\nAnswer: -5\/15875703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + -4.5. Let m = 3.8 - 16.8. Let i = m - d. Sort 1, -1\/7, i, -0.2 in ascending order.\nAnswer: -0.2, -1\/7, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -12*r + 36. Let t(b) = -4*b + 13. Let i(j) = 5*d(j) - 14*t(j). Suppose 0 = -5*x - 11 - 4. Let h(q) = 11*q + 6. Give x*h(o) - 8*i(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55 - (58 - 38)) + 0 + 24 + -4?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112739 and 24376?\nAnswer: 901912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1930\/21 + -92. Let a = -63 - -59. Let f(l) = l**2 + 5*l + 4. Let z be f(a). Is z greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15943832?\nAnswer: 2, 317, 6287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 4 + 2)*(6 - 4 - 3) + 3 - 6 + 0)*(13*t**2 + 12*t + 16*t - 31*t + 1) + t**2 + 3*t**2 - 6*t**2.\nAnswer: -15*t**2 + 3*t - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26 times 30?\nAnswer: -7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1021\/17 > 60?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -766*w + 1521*w - 769*w + 1004878 = 0. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 2*c + 4. Let d be t(2). Let v(n) = -n - 1. Let j(w) = -1 + w**2 + 3 + 0 + 2*w - 2*w**2. Calculate d*v(f) + j(f).\nAnswer: -f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 12*u**3 - 104*u**2 + 80*u - 135. Calculate b(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 204629 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39 and 91.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**6\/45 - 13*n**5\/9 + 238*n**4\/9 + 578*n**3\/3 + 30*n**2 + 4. Suppose o(t) = 0. Calculate t.\nAnswer: -3\/2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/(-6 - -2)*(-12 + 1). What is the second derivative of -23*m**3 + 0*m + 8*m + w*m**3 wrt m?\nAnswer: 126*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s - 1. Let n(f) = -94*f - 141. Give -282*l(i) + 2*n(i).\nAnswer: 94*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (252\/112)\/((-36)\/(-48)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3*v + 3 - 3)*(-2 - 1 + 0)*(-9 - 5 + 0).\nAnswer: -126*v - 84","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyqwcxywwywywwyqwy. What is prob of picking 2 y?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 14*d + 58. Give g(-6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mz when two letters picked without replacement from mbomppyz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*f**4 + 27 - 27 + 0*f**4 - 3*f**4 + 4*f**4 + (2*f**2 - 7*f**2 + 0*f**2)*(1 - 1 - f**2) + 3*f**4 - 2*f**4 - 3*f**4.\nAnswer: -11*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3040600 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-9)*3)\/(-2). Let q(n) = n - 1. Let u(w) be the third derivative of w**4\/4 - 3*w**3\/2 + w**2. Let m(s) = j*u(s) + 5*q(s). Give m(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 4:52 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 0.0301?\nAnswer: 0.1204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51831 = -5629*n - 28387 + 122910 for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7989617 to the power of 1\/2, to the nearest integer?\nAnswer: 2827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10207 - 918649\/90. What is the common denominator of 79\/60 and h?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -50*d**6\/9 - 532*d**5\/3 + 98*d**4 + 2552*d**3\/9 - 538*d**2\/3 + 36*d + 1950. Let g(c) = 0. Calculate c.\nAnswer: -27, -1, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13661254727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 149 = -390. Let y = 79 - h. What is the second derivative of -5*q + q**y + 12*q**2 + 18*q wrt q?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 3*x + 7. Let l(y) = y - 1. Let w = -71 - -77. Give w*l(d) + 2*u(d).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5546 >= 4.869?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*p + 2315 = 14141. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 10*b + 8. Let m be u(-10). Differentiate 2*d - 4 + 3 - m*d + d with respect to d.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3019 - 1659. Suppose 4*c = 3816 - o. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 104\/26*60\/(-16).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/9)\/(((-40)\/(-8))\/165). Let k(b) = -106*b - 16. Let v(i) = 21*i + 3. Give t*v(d) - 2*k(d).\nAnswer: -19*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1198 = 45*v + 638 - 261 for v.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6*b = 4*o - 58, o - 2 = 0. Let g be 18\/117 + b\/(-104). Let s = -778\/15 + 52. What is the closest to g in 0.2, s, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 589*b - 558*b**2 + 5430*b**2 - 276*b - 315*b - 550*b**2 to w*b + a + q*b**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-3) + (-2)\/6 + (-35714)\/(-7653)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 16*z + 38. Let j be w(18). Suppose 0 = j*x + 34 - 6. What is the tens digit of (-106 - -1)*x\/42?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -8*n**2 + 2*n - 1. Let i be g(1). Suppose -f + 5 = -10. Let j = f + i. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + f + 12. Let k(p) = 4*p**2 - p + 2. Suppose 27 = -2*b + 11*b. Calculate the remainder when k(b) is divided by a(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 143 = -543. Find the first derivative of -x*r**3 + 328*r**3 - 147*r**3 - 89 wrt r.\nAnswer: 243*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22927?\nAnswer: 101, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1090 + -6511\/6. Find the common denominator of z and 62\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15.6 - 0.4. Let k = -0.75 - -0.779. Let x = k - -0.171. Which is smaller: x or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178080 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 + 2)*(-1 - 2*b + 1)*(-17 + 0 + 1).\nAnswer: 192*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -15500c (base 13) to base 12\nAnswer: -213a5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/3 and 79\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/2)\/((-14)\/28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -13, -1\/2, -1\/4, 2, -2.1, -65?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 3:13 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*z - 36 = -65*z. What is the remainder when z is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**3 + 4*m**2 - 6*m - 5. Let s(g) = -3*g**3 - 7*g**2 + 12*g + 9. Calculate -7*d(y) - 4*s(y).\nAnswer: -2*y**3 - 6*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 91152 and 1008.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -88.1 - -32825?\nAnswer: 32736.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7608206667530 + -7608221280693.000076. Let u = -14613115 - f. Let v = u - 48. Round v to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6287135.\nAnswer: 5, 127, 9901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2666*z**4 + 2668*z**4 - z**3 + 6*z**3 - z**3 - 203*z as l*z**2 + h*z**4 + u*z**3 + w + q*z and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73676768 divided by -13024.\nAnswer: -5657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 14, a: 5}. What is prob of sequence ahhh?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 - 41 = -25*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80657, 80665, 80677, 80693, 80713?\nAnswer: 80737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) - (sqrt(14) - sqrt(1694)*-1)) + sqrt(14) + (-5*sqrt(42)\/sqrt(3) - sqrt(14)))\/((sqrt(8)\/sqrt(32))\/((sqrt(2) - sqrt(2)*-2)*-4)).\nAnswer: 768*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*a = 29*a + 512. Let c(l) = -l**2 + 17*l - 21. Determine c(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 1 - 1)*(-2 + 1 + 3) - 3 + 1 - 2)*(-6*d + 2*d + d).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1139800 and 5129100?\nAnswer: 10258200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2850 times -59?\nAnswer: -168150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-22) - 90\/11?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ivogqgiq. What is prob of sequence qo?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 10:46 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101, -72, -17, 70, 195, 364, 583?\nAnswer: 858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -88.924 * -2\nAnswer: 177.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3176 - -5625. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) -5 (c) -23\/34 (d) -5517 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (-27 + 22) - -30) + -3 + 0?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -4 + -14 + (5 - 3) + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*p**3 + 27*p**3 - 2 - 52*p**3 + 19*p**3 + 19*p**3 to the form d*p**3 + s*p**2 + l + x*p and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, u: 1, n: 2, j: 1, h: 1, d: 1}. What is prob of picking 1 j and 2 n?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*o - 42 = 0, -5*b = 4*o + o - 140. Calculate the remainder when (-1653)\/(-145)*((-40)\/(-6) + 0) is divided by b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69667 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.362189 nanograms in grams?\nAnswer: 0.000000002362189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 554.657s?\nAnswer: 554657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1772 (b) 2\/13 (c) 5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -7070618443563*l**3\/2 - 7070623049196*l**2 - 18422535*l\/2 - 3 = 0?\nAnswer: -2, -1\/1535211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17499 - 9142. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + (-1)\/1 - (-82 - -78). Solve 2 = -2*d, o*d - 4 = 5*m + 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -98, -200, -324, -464, -614, -768?\n\"Answer: o**3 - 17*o**2 - 58*o - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 991100 to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(112)*3)*3*-5.\nAnswer: -5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -60*y**2 - 2845*y - 1175 = 0.\nAnswer: -47, -5\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/819 and 23\/452977.\nAnswer: 52998309","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.2 - 7. Let c = -1 - -1. Let g be (-296)\/(-111) + ((-2)\/(-3))\/2. What is the third biggest value in c, x, g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8895 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 549 - 527. Solve -b = -13*q - 74 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 102105, 204257, 306445, 408687, 511001, 613405, 715917, 818555?\n\"Answer: 3*l**3 + 102131*l - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -35191000 rounded to the nearest one million?\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61*r**4 - 11*r**2 + 5 - 95*r**4 + 36*r**4 to w*r**2 + d*r**4 + a*r**3 + q*r + h and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244 = -j + 2*i, j + 5*i + 985 = 5*j. Is j a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -3\/11665172 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -422 + 268. Is 11967\/(-2)*(u\/(-33))\/(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -76\/215 - 2\/43. Let z = -14.47 - 0.53. Let n = z - -14.1. Sort 4\/9, n, r in descending order.\nAnswer: 4\/9, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4821 + 4826. Solve 10*q = 8*q + h + c, 0 = 5*q - 4*h - 11 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + i**2 + i. Let f(g) = 87*g**3 - 5*g**2 - 5*g + 1. What is f(m) + 5*u(m)?\nAnswer: 82*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9971427053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 21 + 9 = 0. Let v(c) = 5*c + 4. Let m be v(z). Calculate the common denominator of (m\/2)\/(36\/28) - 1 and -61\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**5 - 2*k**5 + 2*k**5 - k**4 - 3*k**5 + k**4 + (0*k**4 - 2*k**4 + k**4)*(4*k - 3*k + k) - k**5 + 3*k**4 - 3*k**4.\nAnswer: -7*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 p when three letters picked without replacement from {o: 3, f: 2, k: 1, g: 4, m: 2, p: 3}?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 6*r + 12. Let g = r - -8. Calculate the remainder when g is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7662*u + 7662*u - 246 + 4*u**3.\nAnswer: 4*u**3 - 246","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.1 + 6. Which is the second biggest value? (a) o (b) 4\/3 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-9)*r*r\/(r*r**(-5\/4)*r)*(r**(-2)*r*r)**(2\/11) assuming r is positive.\nAnswer: r**(-31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-2)*(4 - -3 - 937). Calculate the highest common factor of c and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 + (-41 - (-45 + 16))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 16. Let u = p - 3. Let m = 4 - 1. Sort u, -0.1, m.\nAnswer: -0.1, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -459*w**2 - 158*w**2 - 215*w**2 + 1806 + 78*w**2.\nAnswer: -754*w**2 + 1806","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 2, -2\/2837, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 4*q - 20, -6*z + 8*z - 30 = 2*z - 5*q for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 10:21 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 4*y = -8 - 3, -3*s - 5*y + 35 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -12 + 12 + 11 + 7?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, q: 6}. What is prob of sequence qccc?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -9*j - 3. Let b(c) = 16*c**2 + 23*c**2 - 41*c**2. Give a(b(s)).\nAnswer: 18*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qmmxvxvxgmy. What is prob of picking 1 v, 1 g, and 1 m?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 22 + -16 - (-3)\/(-1). Solve 0 = -m + h*m - 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/15)\/d)\/d)**8*(d*d**(-3)*d)\/(d*d**9) assuming d is positive.\nAnswer: d**(-389\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1729, 3449, 5163, 6871, 8573, 10269?\nAnswer: 11959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18) + 2 + sqrt(14)\/sqrt(63).\nAnswer: 2 + 10*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwswwwwwwswwwws. Give prob of sequence ssw.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**2 - 3*r**2 + r + r**2 + r**2 to y*r**2 + f + c*r and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 812860 is divided by 116084.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 24*l + 31. Determine z(-21).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-300))\/(4\/5 + -2).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6234931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y = -12*y - 185. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5790299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2524453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*3*sqrt(133) - -6*sqrt(133)*2)\/(sqrt(7) + sqrt(56)\/(sqrt(8)*-3) + (sqrt(175) - -2*sqrt(175))).\nAnswer: 72*sqrt(19)\/47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22408469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 2*o**2 - 2. Let f = 570 + -1706\/3. Let u(z) be the first derivative of f*z**3 - 4 + 0*z**2 - 1\/2*z**4 - 5*z. Determine 3*u(s) - 7*x(s).\nAnswer: s**3 - 2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 255\/5336 + -1\/232. What is the third smallest value in a, -2, -3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6269.\nAnswer: 6269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 55.51 to the nearest integer.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -34. Suppose -n*p = -13*p - 4. Suppose l = t - 26, -13 = t - p*l - 44. What is the remainder when 57 is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.0348808 months to years.\nAnswer: 0.1695734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -a**5\/120 - a**4\/12 - a**3\/6 + a. Let l(t) be the second derivative of u(t). What is the first derivative of l(p) wrt p?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1411.\nAnswer: 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1888 and 531.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/11? (a) -2\/3 (b) 0.5 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 less than 52.4377792936?\nAnswer: 63.4377792936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/28 - (-1460)\/14. Suppose c = -0*x - 3*x + o, -134 = -4*x + c. Suppose a - 5 = f, -5*a = -3*f - x + 9. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than 600749351481601?\nAnswer: 600749351481597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*sqrt(700)*2*6)**2 + (((2 + sqrt(700))*-5)**2 - -6*1*sqrt(700)).\nAnswer: -83200 + 1060*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 90, -2\/11, -3\/5, -144, -0.2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -13*o + 8*o, -12 = -3*m + 6*o for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 3*r**2 + 3*r + 1. Suppose h = -5*u + 20, -5 = 7*u - 2*u - 4*h. List the prime factors of c(u).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 4*b = y, -5*y + 5*b = 0. Suppose 3*v = -15, 4*p - 4*v = 5 + 31. Solve y = -c + 1 + p for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -95086*p**4 + 7*p**2 - 1453*p + 2?\nAnswer: -2282064*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -430.4 + 423. Let z = 7.8 + u. What is the nearest to -1 in 3, z, 0.027?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3931, -7923, -11983, -16117, -20331, -24631, -29023, -33513?\n\"Answer: -r**3 - 28*r**2 - 3901*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of 7*x**6\/720 - 7*x**5\/120 - 7*x**4\/24 - 2*x**2. Let d(y) be the second derivative of k(y). What is the units digit of d(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 2) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19115103 and 353472.\nAnswer: 5523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -13, -2\/7, 2, 225, -16\/13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from khnekej. Give prob of sequence hj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1533 - 842. Let j = t + -690.9. Let u = 0 - 6. Which is the nearest to 0? (a) j (b) u (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 50*f*o*v**3 - 4*f*o + 25785*f*v**4 - 18*f + o - 7787 with respect to v.\nAnswer: 150*f*o*v**2 + 103140*f*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by -2782.\nAnswer: -1\/214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 65\/64, 3\/23 in descending order.\nAnswer: 65\/64, 3\/23, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-45) - (-860)\/18. Let f = -6 + c. Let y = f + -22. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3*b + b + 40, 43 = -3*b + 4*m. Let u = -7 - b. Solve d + u*d = -9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -2) + 5 + -11 - -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 9*s + 14. Let t be r(11). Suppose 4*q + 3*v - 70 = 52, q - 4*v = 40. Let u = t - q. Sort 6, u, 3 in increasing order.\nAnswer: 3, u, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -56*g**3 + 2*g**2 - 1. Let d(t) = 37*t**2 + 477*t - 42. What is the remainder when h(-1) is divided by d(-13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -381862 or -12219627\/32?\nAnswer: -381862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 30 = 0, -15*j + 5*u = -11*j - 832658. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2616190225 to the nearest one hundred thousand.\nAnswer: -2616200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f**(-12)\/f*f)*f)\/(f**(-1\/6)\/f))\/(((f*f\/(f**(1\/10)\/f))\/f*f)\/(f\/(f**(-10)\/f))) assuming f is positive.\nAnswer: f**(379\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 e when two letters picked without replacement from {n: 3, e: 4}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1049.744 + -1046. Let h = 4.09 - a. What is h rounded to 2 dps?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -176 - -175. Which is the biggest value? (a) -4 (b) 0.5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + (7 - 5\/(-5)). Suppose -d*m - 1693 + 6023 = 5*v, -1735 = -2*m - 3*v. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12999272*s**3 - 3529515*s wrt s?\nAnswer: 77995632*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 4 + 6. Suppose -o*j = -30 - 30. What is the highest common factor of 6 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 13. Suppose -2*r = 2*q - 30, -4*q - z*r = -2*q - 36. Suppose 0 = -4*v - v + 455. What is the highest common factor of q and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -112?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.096 * -0.744.\nAnswer: 0.071424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -2) + 75 + -84.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 13 = 9*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 118*q**2. Let r(c) = 14*c**2 + 15. Let z(t) = 8*t**2 + 9. Let y(n) = 6*r(n) - 10*z(n). Calculate y(s(i)).\nAnswer: 55696*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 14900 = -n. Suppose 4*q + 2*q = 11082. Let v = n - q. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (67452\/1008 + -78)\/((-7)\/4)?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(153) + (sqrt(153) - sqrt(153)*-2) + sqrt(153))\/sqrt(9))**2 + ((-4*(sqrt(17) - sqrt(34)\/sqrt(2)))**2 - (sqrt(170)\/(sqrt(20)\/sqrt(2)))**2).\nAnswer: -10*sqrt(17) + 409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.05 or 71?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i + 4 - 3 - 2*i**2 - 1. Let o be l(2). Let m be (-6)\/9 + (-16)\/o. Solve -m = 3*r - 2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1682900431?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(14)*2*-5 - sqrt(14))*2)\/(-1*sqrt(288)*2).\nAnswer: 11*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43056?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 37.36 and 13.\nAnswer: 485.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 4*f + 16. Let y(q) = -6*q - 17. Give 4*r(v) + 3*y(v).\nAnswer: -4*v**2 - 2*v + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8312 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 - -41.1. Which is the nearest to -0.2? (a) 2 (b) -2\/3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-156)\/(-221))\/(2\/17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 4*v - 1. Suppose a + 8 = 2*s, 0*a - 14 = -3*s + 2*a. Suppose -s*n - 6 = 0, -3*q = -q + 2*n. Suppose -16 = q*i - 4. Give h(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 9 = 2*v, 12 = -v + 6*v - 4*j. Let z(g) = -36*g + 17. Let u(x) = -31*x + 16. Let s(k) = 7*u(k) - 6*z(k). Calculate s(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**2\/21 - 88*n\/21 = 0.\nAnswer: -44, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -5*u**2 + 0*u + 6*u**2 + 3*u + 0 + 2. Let z be h(-3). Suppose w + 0 = -z. Which is the nearest to 1? (a) w (b) -5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) - (sqrt(325) + sqrt(325)*1*1)**2) + 1 - (2 + sqrt(325)*-2)**2*2)*6.\nAnswer: -23442 + 510*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 358 - -b3?\nAnswer: 44b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102 and 100164.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5721? (a) -2 (b) -4 (c) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**3\/3 - 5539*l**2\/3 - 7749815*l\/3 - 220110725\/3 = 0.\nAnswer: -2755, -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 63.4 (b) 11 (c) -2 (d) 1.3 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 252?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 170.0000092 - 170. What is b rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 265493037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/21, -0.5, -0.21, -0.1, -3 in descending order.\nAnswer: -1\/21, -0.1, -0.21, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7756 - 2)*(-2 + (-1673)\/(-14)). Let z = -1281095 + v. What is z rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 2b?\nAnswer: -2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -414 + 0.06256.\nAnswer: -413.93744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 1700\/1621?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**2)**(-15) assuming p is positive.\nAnswer: p**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5060207 and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-2))\/((-36)\/216). Solve 0*a = i*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 2*h + 21. Determine r(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -142*p**5 + 23*p**2 - 15 wrt p?\nAnswer: -8520*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 56 + -19. Suppose -w - 35 = -4*n + 28, 4*w - c = -n. Calculate the highest common divisor of 51 and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + 4 + (-8 + 23 - (8 + 9))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*f + 56. Suppose 27 = 2*v - 3*y, v - 5*y - 10 - 14 = 0. What is the remainder when (-5 - 23)*f\/(-8) is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 3107.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 439179.6 months in millennia?\nAnswer: 36.5983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*j - 55*j + 324 = 28*j. Calculate the smallest common multiple of (-2 - -1)\/((-12)\/60) and j.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 15) to base 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 26*t**4\/3 + 350*t**3\/3 + 1586*t**2\/3 + 870*t + 300 = 0. What is t?\nAnswer: -5, -3, -6\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-43 + 30 + -11)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 7 = -l + 3*n, -2*n = -4*l + 26. Let h be (-17039)\/(-114) - (l - 3). Let z = h - 295\/2. Is -1 less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1800291843?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of 141*u**4\/4 + 5*u**3\/2 - 10*u**2 + 994*u. Find the second derivative of r(n) wrt n.\nAnswer: 846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4491861976.\nAnswer: 2, 7, 1783, 44987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(88)*-5 + sqrt(88) - sqrt(22))\/(sqrt(16)\/sqrt(8)*5) + -4.\nAnswer: -9*sqrt(11)\/5 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 2*l + 6. Let y = 30 + l. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15.5? (a) 1\/4 (b) 1 (c) 1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**6\/(b*b\/((b**(-2\/21)*b)\/b)))**(1\/4)\/((b**(-1)\/(b\/((b\/(b\/b**(-5\/3)))\/b)*b))\/((b\/(b*b\/b**(6\/11)))\/(b*b**(-3\/11)))) assuming b is positive.\nAnswer: b**(841\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/45 and -11\/1170.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05945345384 to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 14*m - 2. Suppose q + 4 + 0 = 0. Let x(h) = -h**3 + 13*h**2 + h - 12. Let l be x(13). Sort m, l, -3, q in decreasing order.\nAnswer: l, m, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34329737 - -34328169.9179. Let d = z - -1567. Round d to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 293 (c) 0.1 (d) -3 (e) -5\/4 (f) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddbbwdd. Give prob of sequence wbdb.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - (-14224)\/49)\/(-1 + 40\/35). What is the greatest common factor of k and 462?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m**3 + 34*m**2 - 41*m + 29. What is the remainder when 2241 is divided by a(10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -149 + 154. Suppose -h = i*h - 3798. List the prime factors of h.\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111001 - -11010010011001?\nAnswer: 11001101100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + 3*sqrt(76)*-5 - -6*-3*sqrt(76))\/((sqrt(1960) - sqrt(1960)*-2)\/(2*sqrt(360))).\nAnswer: -128*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hhhhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 3*s + 20, 2*h - 5*h + 12 = s. Suppose 0 = -h*g + 3*g + 4, 3*t - 5*g + 17 = 0. Solve 4*v - t = 7 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -5, -2, 0, 2 in increasing order.\nAnswer: -5, -2, 0, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(-117)*(-26)\/(-13)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 12 = -2*f, -5*h = 6 + 4. Let r be (16\/(-24))\/(f\/6). Let b be (3 - r)*4*-2. Round b to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1351 is divided by 553?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -290 + 0?\nAnswer: -290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3457805968?\nAnswer: 2, 31, 6971383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n + 4 = -6. Let a be n\/(-2)*(-28)\/49. Suppose 0 = -m + 3*m - 10. What is the smallest value in m, a, -0.2, 1\/9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -93.14 - -95. Let a = w + -2. Is -0.2 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 364\/935 + 2\/187. Let k = -19\/2 + 12. What is the second biggest value in z, k, -3\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117.2426 weeks in milliseconds?\nAnswer: 70908324480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-16)*(-1 - -1). Suppose -p + 7 = y + p, -4*y + 4*p = -76. Let n be (12\/y)\/((-2)\/(-5)). Solve -5*b = 2*d - 7, 5*d - 3*b + n*b - 4 = x for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, z: 2, d: 4}. What is prob of picking 2 l?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12239.8 + -12238. Which is the third biggest value? (a) -0.3 (b) -0.1 (c) 3 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 26 = -k - k, -3*l = k + 25. Let x = l + 21. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 89 + -24. Let b = 38 - a. Is -26 at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/(12 - 4) - (-121)\/(-12) and -23\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 4*i - 2. Let l be m(-5). Let p(j) = -j**2 + 5*j + 2. Let u be p(5). Solve 0 = -3*b + u*y + 15, 6 = -2*b + b - l*y for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 316323 divided by 363?\nAnswer: 105441\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 983 + -1018 - (-1 + (-13 - 0) + -2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2*-0.1088144\nAnswer: 0.2176288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16543 is divided by 592?\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11608 - 8*i**3 + i**3 - 2*i**3 + 11401 - 3*i**3 + 5*i**3.\nAnswer: -7*i**3 - 207","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13 - 12c0fe?\nAnswer: -12c0eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 1558 = 5298. Let t = b - 17084\/5. Calculate the common denominator of -1\/2 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-39 + 101*u + 39)*(-7 + 5 - 6 + 0) in the form h + b*u and give b.\nAnswer: -808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -142313070, -284626134, -426939200, -569252268, -711565338, -853878410, -996191484?\n\"Answer: -r**2 - 142313061*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6251 + 890. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-59)\/(-13216)*-16*4\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 18 - 30 = 0. Let k = -42 - -27. Let p = y + k. Solve 0 = 5*g - p + 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 2*v - 35, 0*t + 21*v = t + 2*t + 285 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 452 * 32.\nAnswer: 14464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41 + -2. Is 6 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 450 = -2*v, 2*v = 37 - 27. Is y <= -85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 136832436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -651 + 5920\/9. Calculate the common denominator of 129\/(-90)*(-215)\/602 and d.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 946?\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/8 and -57\/214.\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t + y + 25, -6 = -121*t + 122*t + 2*y for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 5. Let b be n(-5). Suppose b = 5*g - 40. Is g a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1065, 1251, 1439, 1617, 1773?\nAnswer: 1895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 501*c**3*f**4 + c**3*f**2 + 464*c*f**6 + 25540*c*f**2 wrt f?\nAnswer: 12024*c**3*f + 55680*c*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, 851, -43?\nAnswer: 851","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbb. What is prob of picking 3 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b9 + 401?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 105060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fpcccpffiiff. What is prob of sequence cpci?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 800373914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1275 - -3841\/3. Find a such that -128\/9*a + 32\/9 + 8\/3*a**5 + 160\/9*a**3 - i*a**2 + 122\/9*a**4 = 0.\nAnswer: -2, 1\/4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 + (-84)\/20)*-1. Let z = 1798 - 1797. What is the closest to 1 in x, z, -1.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-3\/2)\/(u\/u**(-4\/3)*u*u)*u\/u**5*u*u*u*u*(u\/((u\/(u\/u**11))\/u))\/u*u*u assuming u is positive.\nAnswer: u**(-83\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 796*d = -727 - 2457 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -134 or 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 - 93 = -4*j. List the prime factors of (j - -11) + -2*1.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 427820?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -13, -203 in decreasing order.\nAnswer: 2, -13, -203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -24\/67 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) 7 (b) -0.2 (c) -0.37 (d) -0.11 (e) -2 (f) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6))\/1*6\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48834 is divided by 1321.\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110110101001 (base 2) to base 9.\nAnswer: -17027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m + 6*m = -24. Suppose -2*j + 14 = m*w, j = -5*w + 15 - 1. Let o(c) = 23*c - 9. Is o(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2*g**2\/25 + 3878*g\/25 + 3096\/5 = 0.\nAnswer: -1935, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 81 = -n. Solve 0 = -4*d + 7 - n for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35443 is divided by 864.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -677 divided by -2\nAnswer: 677\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/11, 1\/5, 4, -1, 2, 441, 10\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 287420.238ns to weeks.\nAnswer: 0.000000000475231875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 16*g + 26*g = 42 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 e when four letters picked without replacement from mmzmmeqmm.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -6*i + 139. Let t be l(23). Let q(o) be the third derivative of -7\/6*o**3 - 2*o**2 + 0 + 1\/3*o**4 + 0*o. Let h(s) = s - 1. Calculate t*q(f) - 6*h(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 61, 358, 885, 1642?\n\"Answer: 115*x**2 - 48*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/(((f\/(f\/f**(2\/5)*f))\/f*f)\/f)*f)\/(f\/(f\/f**1))*(f\/((f\/(f**1*f*f)*f)\/f))**(3\/8))**(1\/11))**37 assuming f is positive.\nAnswer: f**(6993\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 490 and 1872990?\nAnswer: 13110930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 111, 174, 237?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccgccgc. What is prob of picking 3 c?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 169, 188, 253, 382, 593?\n\"Answer: 3*t**3 + 5*t**2 - 17*t + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 2:58 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, 1, 1\/6, 0.3 in increasing order.\nAnswer: -41, 1\/6, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 0*n - 498 = 0. What are the prime factors of (n\/6)\/(3\/(-9))?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11744 - 143*r + 11744.\nAnswer: -143*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 400447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 - 25) + -2 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**4 - g**2 + g - 1. Let w(l) = -5*l**4 + 8*l**2 + 6*l + 5. Let t = 78 - 79. Let z(n) = t*w(n) - 2*d(n). Solve z(o) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) -51 (b) -1 (c) 6 (d) 0 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*i - 290 = 9*i + 46. Solve -4*j = h + i, j + 3 = -4*h - h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 9499 = 2*u + 24669, 0 = -2*n + 5*u + 15167. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 10*b**2 + 160*b - 102. Give y(-17).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2186 - 2151.32. What is i rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 407810663?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/20454263 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 0)\/((-5)\/10). Let l be ((-8)\/v)\/(4\/(-2)). List the prime factors of (2 - 0)\/(l\/19).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1138474348 to the power of 1\/4, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q + 7*q - 3*q**2 + 2*q**2. Suppose 1 = 2*l - 3. Let n = 6 - l. What is j(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31131 (base 4) in base 15?\nAnswer: -3c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169 = -42*w + 43. Sort 0, 1282, w in descending order.\nAnswer: 1282, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -6\/5, -44, 3, 2?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - r**2 + 4*r - 3. Suppose -3*z - 15 = -3*l, -55 + 49 = 2*z. Determine s(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.106 at most -10.39675?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 23*p**2 + 13*p - 45. Let j(f) = 11*f**2 + 6*f - 21. What is -9*j(u) + 4*l(u)?\nAnswer: -7*u**2 - 2*u + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -919*w + 1192*w - 819 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u + 2*u - 3*u**2 + 0*u.\nAnswer: -3*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*f = -25*f + 852. Let o be f\/(-30) - 12\/(-15). What is the second derivative of -38*v - o*v**2 - 19*v**2 + 4*v**2 wrt v?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -112, 188, -5, 0.4 in descending order.\nAnswer: 188, 0.4, -5, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zwzzzwfzxwzlfzzzz. Give prob of picking 1 l, 1 f, and 2 z.\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 909910, 909905, 909896, 909883?\n\"Answer: -2*s**2 + s + 909911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(7) + 1 + sqrt(847)).\nAnswer: -72*sqrt(7) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {e: 2, u: 4, j: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*a + 17*a - 66 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*r - 3 - 1, -3 = -3*s + 3*r. Let k = 4 - 4. Let o = 0.8 - 1. Which is the third smallest value? (a) s (b) o (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 + -4)*0 + (-1 - -3). Sort 8, g, 0.4, -2\/9.\nAnswer: -2\/9, 0.4, g, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2709.699952078 + -2709.7. What is z rounded to six decimal places?\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(37 + d**2 - 10202*d + 10202*d).\nAnswer: d**2 + 37","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1158, 2308, 3458, 4608?\nAnswer: 5758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 1. Let p(t) = 34*t**2 - t**2 + 10 - 5*t**2. Let f(v) = 3*k(v) + p(v). What is the first derivative of f(c) wrt c?\nAnswer: 50*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330*g + 80 = -670*g + 332*g for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.6 - -0.1. Let g = 0.78 + 0.02. Let z = h - g. Which is the nearest to -1? (a) -4 (b) z (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 13*-1 + -13 + 17 - -2. Let o(w) = -w**2 - 9*w + 30. List the prime factors of o(h).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -215 + 236. Calculate the highest common factor of x and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4742*c - 370*c**3 + 2354*c + 2388*c.\nAnswer: -370*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 81318, 81337, 81356, 81375?\n\"Answer: 19*p + 81299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1242846 and 2343?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2*1*sqrt(77) - (sqrt(77) + sqrt(77)*2*3 - sqrt(77))))\/((sqrt(66) - (sqrt(66) - -6*1*sqrt(66)))\/(sqrt(6) + 5*1*sqrt(6))).\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-21)\/56 - (-9)\/12. Let s(c) be the third derivative of 0 + c**2 + v*c**4 + 1\/2*c**3 + 1\/40*c**6 + 0*c + 3\/20*c**5. Factor s(q).\nAnswer: 3*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/21)\/((-48)\/(-240)*-3)*(0 - 35).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4 + 23488*r**3 - 138997752*r**2 + 12639080704*r - 289560219664.\nAnswer: -(r - 11698)**2*(r - 46)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + k = 1, 3*f + 7*k + 4 = 19 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -183353\/18 + 10192. Find the common denominator of u and -101\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3601 - 3601 + 14*g**3.\nAnswer: 14*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58 + 61. Suppose -4*m + 1297 = p*k, 0 = -k + m + 125 + 298. Let s = k + 688. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -204, -3\/28?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2084 (base 15) to base 7.\nAnswer: -26020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**3 + 8*o**2 + 2*o - 18. What is a(-5)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 6*q + 1. Let y(u) = 31*u + 1041. Calculate 5*t(l) - y(l).\nAnswer: -l - 1036","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + 20. Let o = -9 + 4. Put o, -0.5, l in decreasing order.\nAnswer: -0.5, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-272 - 178 + 1)*(2 - 2 + 2)*(-1 + 2 + 2)*(0*h**4 - 2*h**5 + 0*h**4).\nAnswer: 5388*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -89989137 by -126567.\nAnswer: 711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 838811657?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 874 = 4*z - 993, q + 2*z - 625 = 0. Suppose 7*x - q - 839 = 0. What is x rounded to the nearest ten?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 944437 to the power of 1\/3, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o**3 - 5*o**3 + 15*o**3.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/33 (b) 1 (c) -7 (d) 0.3 (e) 0.5 (f) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -23*d**3 + 6*d**2 + 82*d - 1. Let y(q) = 72*q**3 - 16*q**2 - 246*q + 2. Calculate 8*k(h) + 3*y(h).\nAnswer: 32*h**3 - 82*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 800 + -466. Is (-5)\/((-5)\/i) - 5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-9)\/a*a*a**10)\/(a**(6\/11)\/a**(1\/32)) assuming a is positive.\nAnswer: a**(171\/352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 + 46 - 95) + 16.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -i**6\/120 - i**5\/12 - 2*i**3\/3 - i**2. Let v be s(-5). Suppose -2*d + 40 = 6*d. Put v, 0, d in ascending order.\nAnswer: v, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*0.159\nAnswer: 0.159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d + 4 = 7*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4419 + -1556. Let j = o - 5991. What is the common denominator of 2\/5 - j\/480 and 43\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t - 88*t + 83*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2716*y + 2712*y + 2*k = -28, -y - 3*k = 14 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -0.5 (b) -1\/3 (c) -1 (d) 43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 65*c + 198 - 147*c - c**3 + 83*c in the form w*c + b*c**2 + n + q*c**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85902?\nAnswer: 2, 3, 103, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 106499 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.26 - -0.06. Let a = 0.8 - -9. Let x = -10 + a. Is g >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5*u + 7 = 4*u, 2*p = -3*u + 7. Let n(r) = -2*r**3 - 187*r**2 + 281*r - 385. Let i be n(-95). Sort 3, i, p in descending order.\nAnswer: 3, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -234476293 by 1.\nAnswer: -234476293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**3 - 3*x - 7 - 3*x**2 + x**2 + 3 + x**2 in the form a*x**2 + b*x**3 + u*x + j and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -961169 divided by 11.\nAnswer: -87379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 7:12 AM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119186125 is divided by 151?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34569 + 34567. Put 4, 37, 5, x, 6 in ascending order.\nAnswer: x, 4, 5, 6, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -h + 15. Suppose h = w + 24. Let j = 185 - w. What is the highest common factor of j and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -881, -658, -437, -218, -1, 214, 427?\n\"Answer: -l**2 + 226*l - 1106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334 is divided by 119.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -5*o + 3*l, -5*o + 17 = -5*l + 47. Let q(j) be the first derivative of 2*j**3\/3 + j**2\/2 - j + 6. Let u be q(o). Solve 0*r = u*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + n - 6 = -2*n, 5*j = 2*n + 31. Suppose l = j*l. Suppose -2*s - 4*c - 2 = l, 5*c = -s - 3*s - 1. Solve w + 3 = 2*v - 4*v, s = -2*v + w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, n: 3}. What is prob of sequence iiii?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4843 - -38747\/8. Which is the nearest to 0.16? (a) -5\/3 (b) 5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.22836 + 1491.92836. Is 0 >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1930205000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 - 8 - 15\/(-17). Let g = 308 - 311.97. Let o = g - 0.03. What is the third biggest value in d, o, 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 140 + -138. Let y be 2*((-14)\/(-4) - 0). Solve -a*w = -3 - y for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 8. Let z be ((-32)\/520)\/(u\/(-5)). Let l = 3.8 + -0.8. Which is the third biggest value? (a) -3 (b) z (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3632 - -3632. Let j be 6*(1 - (-10)\/4). Suppose -j = -3*v - 6. Sort v, -3, o in descending order.\nAnswer: v, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and -38.64293437967.\nAnswer: -36.64293437967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 + 371*o - 6688.\nAnswer: -(o - 352)*(o - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 + 0\/(-4) + -4. Solve c*o = -5*b - 5, o + 2*b = 4*b + 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xbbx when four letters picked without replacement from {b: 3, x: 6, r: 4}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 8. Let j(k) = k**2 + 9*k. Let y be j(-9). Let l = w + y. Sort l, -7, 3 in decreasing order.\nAnswer: 3, l, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7683 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/4)\/t)**(3\/10)*(t**(1\/2))**0 assuming t is positive.\nAnswer: t**(-3\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33845 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 8:17 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3119105 or -3119195?\nAnswer: -3119105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -d**6\/1620 + d**4\/108 + 13*d**3\/3 + 26*d. Let j(r) be the second derivative of n(r). Factor j(a).\nAnswer: -2*(a - 1)*(a + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2546828071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 404 is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/2 + 1673*c\/2 - 126910.\nAnswer: (c - 140)*(c + 1813)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.04 + -0.16. Let s = h - -1.2000028. What is s rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4*j - 43 = -0*j, 4*j = -4*z + 32. Let u be (2\/(-1))\/(24\/(-108)). Are u and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*i**4 + 3*i**4 - i**4)*(0 + 15 - 2) + 20*i**4 - 115*i + 115*i in the form s*i**2 + n + r*i + h*i**3 + j*i**4 and give j.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 7*w + 8. Let a be d(7). Let l be 8\/(-1)*(-6)\/a. Suppose 3*x = 3*f + 45, f = -l*x + 4*x + 30. Calculate the highest common divisor of x and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 z when four letters picked without replacement from {u: 2, p: 12, y: 3, z: 3}?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -12 (b) 1\/2 (c) 4 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 10 = 2*n, -3*l = n - 2*l + 3. Let g = 4 - n. Suppose g*x = -3*r + 3, -5*x - 3*r + 1 = -10. Solve 3*z - 2 = -x*m + 8, 2*z + 2*m = 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 7*w + 2*w)*(-2 + 3 + 1)*(-3*w + 6*w - 2*w).\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - (2 - 0\/3) - 3. What is the remainder when 16 is divided by -8 + 10 + (-5)\/j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i + 2947 - 10*i**2 - 6*i - 3*i**2 - 2948 to c*i**2 + z*i + o and give c.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 11*d - 193. Let p = -574 - -572. Let o(l) = 2*l + 1. Let a(w) = p*o(w) - k(w). What is the derivative of a(b) wrt b?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 18642.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 23056.\nAnswer: 46112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.201 times -508413.5\nAnswer: -102191.1135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 + -1)*44\/(-66). Let q(g) = 5*g - 11. Let y(x) = -5*x + 11. Let w(d) = 4*q(d) + 5*y(d). Let r(n) = 2*n - 4. Determine p*w(v) - 11*r(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35955019 is divided by 1147.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 + -36. Factor 2*r**4 + 54*r**2 - 120*r**2 + 60*r**t + 4*r.\nAnswer: 2*r*(r - 1)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*x = -5*w - 325, -25 = 5*x. Let z = 1490 + -1489. Which is the nearest to w? (a) 0.4 (b) -1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*h - 9*h. Suppose -h*b = 5*o - 3 - 2, 3*o + 14 = b. Let q(l) = -1 + 5*l + 7 - 2. What is q(o)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(78)*1 - sqrt(78)) + sqrt(78))\/(sqrt(54)*2))**2.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -20 + -515?\nAnswer: -535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 240*k - 34 + 19 to q + d*k and give d.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/25, 3\/2, 0, -3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 7 = -5*u + 4, 0 = -u + 4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/9, 3, 1, -213?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = v - 5*q, -4*q = 2*v - q - 134. Let a = 7363 - 7348. What is the remainder when v is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k - 7. Let d be p(-6). Let j be 1 - (d + 2)*1. Which is the closest to -2\/7? (a) -1 (b) j (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4*k - 6 + 2 = 0, -3*k + 3 = 0. Let r(b) = 2*b + 28. Let w be r(4). Let i(s) = w*s**3 + s**2 + 4*s - 5*s - 2 - 35*s**3. Determine i(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 216*u + 1062. What is m(-5)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 0*w**2 - 13 + 0*w + 1\/3*w**3. Let p(m) = -7*m**2 + 5*m**2 + 22*m**2. Calculate p(v(o)).\nAnswer: 20*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2907058315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -14616 divided by 6?\nAnswer: -2436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (10\/5)\/(36\/(-27))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21520 or -21522?\nAnswer: -21520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/99 and -26\/33.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5326 + -432?\nAnswer: 4894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**2 + 38*u - 224. What is the hundreds digit of z(17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 9*a - 7. Suppose -4*x + 1 - 6 = -3*c, 5*c - 3*x = 23. What is the units digit of j(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2*-4*1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + t - 10 = 0, -54*c - 2 = -56*c + 4*t for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(720)*-4 + 1 + -4*(sqrt(720) + 1) + sqrt(720))**2 + 4.\nAnswer: 504*sqrt(5) + 35293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-142)\/42 - (82 - (-30368)\/(-365))*5\/(-18).\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 7 + 2 = 0. Let y = w - -10\/3. What is the nearest to y in -0.5, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -317*h - 1076*h**2 + 1055*h**2 + 4285*h.\nAnswer: -21*h**2 + 3968*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35*n**4 + 391*n**3 + 346060*n wrt n.\nAnswer: -420*n**2 + 2346*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*n**3 + 76*n**2 - 29*n**2 + 11*n**3 + 24*n**2.\nAnswer: -2*n**3 + 71*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 2\/6)*-3. Let b(m) = -94*m + 1077. Let k be b(11). Sort 5, j, k in ascending order.\nAnswer: j, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3958760.\nAnswer: 2, 5, 13, 23, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 35*b**2 + 199*b + 84. Let v be q(-28). Solve v = 3*j + w + 17, 5*j + 7 = 2*j + w for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 11*m - 21 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17195 + 25097. List the prime factors of s.\nAnswer: 2, 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4cd99 + -71?\nAnswer: 4cd28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6291127807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-12))\/(170\/153).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**5 - 3*j**5 - 2*j**5 + (81*j - 35*j + 148*j - 1)*(2*j**4 + 3*j**4 - 7*j**4).\nAnswer: -390*j**5 + 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = t - 5*t. Solve 2*n - t*x = n - 6, 0 = 2*n - x + 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 213 = -y - 2*y, -4*y = -3*g - 297. Suppose 0 = -2*t + y + 18. Suppose t = 4*b + 9. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61828322 to the power of 1\/3, to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 66 - 63. Calculate the smallest common multiple of h and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of 37*b**6\/40 + b**5\/60 + b**4\/24 - b**3\/3 + 50*b**2. Is 37 a factor of t(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7435, 7321, 7207, 7093?\n\"Answer: -114*s + 7549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273175046.\nAnswer: 2, 19, 41, 271, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.186 + 1.96. Let v = -0.196 - x. Are 0.4 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eleven tenths of a day?\nAnswer: 95040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -271*m + 84. Let i(f) = -54*f + 17. Let y(u) = -11*i(u) + 2*l(u). Let q(o) = 4*o**2 - 11*o + 5. Let z be q(3). Is y(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-nine fifths of a century?\nAnswer: 1180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 390 divided by -13.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1612900 divided by 635?\nAnswer: -2540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-9 + 15 + -1 + 4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2202 (base 3) to base 2.\nAnswer: 1001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3 = -7. Let v be x\/6 - (-62)\/(-12). Let i(n) = n**3 + n + 1. Let p(w) = -5*w - 6*w**3 - w**2 + 4*w**2 - 5 - w**2. What is v*i(d) - p(d)?\nAnswer: d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + 0)**2 + -1 + sqrt(125) + -1*sqrt(125)*-2 + sqrt(40)\/sqrt(2)*-1 + 5 + 3.\nAnswer: 13*sqrt(5) + 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 103 in -1, 1\/8, 1\/2, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of w**8\/6720 - w**7\/3780 - w**4\/3 + w**3 - 2*w + 9. Let k(n) be the third derivative of z(n). Suppose k(y) = 0. What is y?\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 3*v + 15, -5*q + 5*v = -0*v + 5. What is the third derivative of 2*d**6 - 3*d**6 - 2*d**6 + q*d**2 wrt d?\nAnswer: -360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.019 + -1.581. Let m = 0.27 - -2.33. Let d = m + i. Sort -0.4, 5\/2, -2\/13, d.\nAnswer: -0.4, -2\/13, d, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (356\/84 + -4)\/(9900\/34650).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 911, 1821, 2731, 3641, 4551?\n\"Answer: 910*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 12 = 0, k - 13 = -k - 3*z. Suppose k*y - 3*y - 12 = 0. Calculate the common denominator of 62\/y + 0 + 2 and 109\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3835.\nAnswer: 5, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, z: 5, g: 2, j: 8}. Give prob of sequence zj.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-21))\/((-2)\/(-7))*-2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 52124240?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -434441534 (base 6) to base 9\nAnswer: -15570314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 14.134665s?\nAnswer: 0.23557775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of 1\/6*r**4 + 2*r + 0*r**2 + 0 + 0*r**3. Let h(x) = 2*x. Give h(v(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3431 and 95479454.4.\nAnswer: 95476023.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u + 8. Let w be v(-4). Let x(r) = -11 - 4 + 9*r + w. Let q be x(3). Calculate the greatest common factor of 8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5*3 - (30 - (-21 + 39)). Which is the closest to -0.1? (a) 0.7 (b) -0.5 (c) f (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(5 + -1) - 710\/1136\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a week in seconds?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + -3 + 16 + 0 - (-8 + -3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7b790 (base 12) in base 3?\nAnswer: -22101201100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -304*l. Let x(i) = -6*i - 14. Let r(a) = -a - 2. Let p(s) = -7*r(s) + x(s). Calculate o(p(d)).\nAnswer: -304*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1*2\/(-88)*-8\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.63149 centuries in decades?\nAnswer: 926.3149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11355, -11358, -11363, -11370, -11379, -11390, -11403?\n\"Answer: -o**2 - 11354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 13. Suppose d = 3*n - 1. Suppose -2*h + 2 + n = 0. Solve -3*g + 3*j = 27, -g - 3*j + h*j - 1 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 3*d - 6, -2*d + 5*z = -3 - 20. Suppose 3*o + 0*o = -d*r + 148, 0 = -r + o + 37. List the prime factors of r.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -60 + 48*v**2 + 60 + 38*v**2. Let p(h) = -h**2. Give p(i(s)).\nAnswer: -7396*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v + 2379 = 11115. What is the highest common factor of v and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.2708671 rounded to 3 dps?\nAnswer: 22.271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -13. Suppose w*h - 15 = h. Let q be -3 - 11\/(66\/(-48)). Solve -5*f + l + 12 = 0, q*f + h = f + 5*l for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 19*z - 49. Let h be g(16). Which is bigger: 10\/61 or h?\nAnswer: 10\/61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3628, -14264, -31990, -56806, -88712, -127708, -173794?\n\"Answer: -3545*j**2 - j - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3922638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 59 (c) -5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 13*f + 13. Give c(2).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.49 + -0.025?\nAnswer: -14.515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 853227457 to the power of 1\/5, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 495 = 4*s. Is s a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r**2 + 915505 - 915505.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1029*i = 1033*i + f - 24, -5*i + 4*f = -51. Solve -3*z + 2*n + 6 = 5, -4*z = 3*n - i for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1040*a**2*f**2 + 23302*a**2*p - 5*a*f**2*p + 16*f**2 wrt p.\nAnswer: 23302*a**2 - 5*a*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 17*r + 2. Let c(i) = -8127*i**2. Give j(c(u)).\nAnswer: -138159*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 125, 123, 119, 113?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uiw when three letters picked without replacement from {w: 1, i: 1, u: 1, q: 1, z: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 160802 and 2380654.\nAnswer: 3922","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345 is divided by (-350)\/(-4)*(34\/(-14) - -3).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1936, 1008, -528, -2672?\n\"Answer: -304*f**2 - 16*f + 2256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7421525\/734052 + 66\/5561. Let b = 20633\/6 + -3449. Let s = b - z. Is 1 greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 4*y + 4. Let v be i(5). Let n be 5\/6 + v + 195\/90. What is the greatest common factor of n and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201 (base 3) to base 9.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8664 or -1828132\/211?\nAnswer: -1828132\/211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 3488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 6 - 17*i - 6 + 4 + 0. Let g(z) = -4*z + 1. Calculate 6*a(u) - 26*g(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(1650\/(-12)))\/((-1)\/5).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {a: 6, c: 7}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 + 290*i - 295.\nAnswer: 5*(i - 1)*(i + 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14242.26 + 14206.2599349. Let o = 36 + v. What is o rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/14 - (-360)\/(-14). Let r = -402 + 477. Let v = r + n. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2*s - 18. What is the common denominator of 1\/6 + ((-29425)\/(-462))\/(-25) and (-388)\/s*(-2)\/16?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -52, 175, -2, 1, 5, 3.\nAnswer: -52, -4, -2, 1, 3, 5, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -12. Suppose -20 = -4*r, 0 = -l*k - k - 3*r + 655. What is the highest common divisor of 20 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -158.279?\nAnswer: -791.395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 13*w + 6. Let q be t(-14). Let i = 4 + q. Is 1\/1 + 5 + i even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 178 - 102 - (2 - -3 - (22 + -26)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -205+-128\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6879 by 2293.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/(-90))\/(15\/(-90)). What is the closest to 1\/2 in -2\/11, -1, -9, z?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7056 and 1120.\nAnswer: 70560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of 0*s**3 + s**2 + 0*s + 14 - 9\/5*s**5 + 0*s**4. Find the second derivative of w(m) wrt m.\nAnswer: -108*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -26, -9, 4.\nAnswer: -26, -9, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*c**2 - c**2 - 5*c**2 to the form v*c**2 + b + g*c and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 286927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 + 10 = 33*f + 24 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7154 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -35 - -57204?\nAnswer: 57147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41 - 41 + 17*j)*(-3 + 0*j - 2*j + 1).\nAnswer: -34*j**2 - 34*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = -5*v + 5. What are the prime factors of ((-34)\/(-4) + -1)*(-1296)\/v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**4*b**(-1\/9)*(b**7\/b)\/(b*b*b**(-5))*(((b\/(b\/(b\/b**8)))\/b)\/((b*b**2)\/b))\/((b*b**2)\/b)**(3\/13) assuming b is positive.\nAnswer: b**(284\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -173 take away -0.15?\nAnswer: -172.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i*o*w**2 - i*w**4 + 2*i*w**2 + 3*i*w + 8*o*w**4 - o*w**3 + 2*o*w**2 + 2*w**4 wrt w.\nAnswer: -24*i*w + 192*o*w - 6*o + 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-9))\/(7\/126)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggqqdggqggqqq. What is prob of picking 1 g and 2 q?\nAnswer: 15\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 10:44 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -287*h + 6486 = -149*h. Solve -103 = -h*y - 9 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 6*t - 8. Let h be ((-6)\/(-40) + (-3)\/(-12))*40. Suppose 13*q - h = 11*q. Calculate x(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 5:54 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(1\/4))**29)**(-3\/5)\/((s\/(s*s*s\/(s**2*s))*s**(-2\/5))\/((s\/s**(-2\/9)*s)\/(s**(-1\/2)*s))) assuming s is positive.\nAnswer: s**(-3713\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -683*u**2 + 115424*u + 482. Give b(169).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 1:54 PM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 7*u + 3. Let w be r(-7). Suppose 5*m = w*m + 2. Suppose m + 11 = 4*k. Does 3 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5\/4 - 23\/12. Let a = -4.99 - -5. What is the nearest to s in 2\/7, a, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 5*l - l)*((-6*l + l + 4*l)*(2*l + l + 0*l) + 0*l**2 - 2*l**2 + 3*l**2).\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -21 - 108560?\nAnswer: -108581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*b - 5*b + 2*b)*(-80 - 91 - 77 + 258) as y + m*b and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -282 + 284. Suppose 0*j - 3*j - 28 = 5*y, 0 = -5*j + 5*y - 20. Let h(p) = p + 6. Let n be h(j). Is n bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -17, -32, -45, -56, -65, -72, -77?\n\"Answer: p**2 - 18*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(2\/13)\/b*b*b\/(b**30\/b)*b*b**(-8)*b\/(b**27\/b))**(2\/5) assuming b is positive.\nAnswer: b**(-306\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 2 - (-1 - 58 - (-17 - -74 - 37))\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8378, -33444, -75220, -133706?\nAnswer: -208902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46269442 is divided by 968?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 16*r**2 - 12*r - 42. Let i be a(15). Let l(o) = 551*o - 4. Is l(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, w: 12}. What is prob of picking 1 w and 2 d?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -6*y**2. Let m(a) be the third derivative of -a**6\/360 - a**4\/8 + 3*a**2. Let l(o) be the second derivative of m(o). What is t(l(p))?\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*o**3 - 62*o**3 + 144*o**3.\nAnswer: 10*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3216823*n**2 - n - 3216880*n**2 + n.\nAnswer: -57*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*k = 146*k + 90 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (6*(sqrt(6336)*-1 + sqrt(6336)))\/((sqrt(484) - sqrt(484)*-1)*-6))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yeeiyicc. Give prob of picking 1 y and 1 c.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 330776 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 665 is divided by 74?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjh when three letters picked without replacement from vjtqsstvh?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 48*n - 44*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 8*p - 22. Let d be t(10). Let r be 1*2 - (-4 + 4 - d). Let m = r + 16. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10329 - -1?\nAnswer: -10328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -189357021 divided by -399\nAnswer: 474579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**4\/5 + 277092*q**3\/5 + 9598051224*q**2\/5 + 7677720556*q + 28790828646\/5 = 0.\nAnswer: -69271, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k*k**9)*k**(1\/5)*((k\/(k\/(k*k\/(k*k\/(k*k**(3\/2)*k)))))\/k)\/(k**(-6)*k) assuming k is positive.\nAnswer: k**(-13\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 133360596?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*u - 1 = -7, -3*i + 2*u + 2 = 0. Let a = -34 + 37. Let r(j) = 5*j**3 + j**2 + 3*j. Let n(s) = -4*s**3 - s**2 - 2*s. Give a*n(x) + i*r(x).\nAnswer: -2*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 34 - 42 = 0. Suppose c*h + 9 = -5*k, 5*k = 6*h - 2*h - 27. Suppose 0 = -g + 4*m + 52, -3*g + 0*g + 165 = -h*m. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -20\/4157 smaller than 2.27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 86 + -35. List the prime factors of b.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 47*i**2 - i. Let u be z(2). Is u\/(-4)*16\/(-24) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 5*v**3 + 7*v + 8. Let y(k) = -4*k**3 - 6*k**2 - 12*k - 13. Let p(z) = -z**2 - z - 1. Let x(m) = -6*p(m) + y(m). Give -6*q(o) - 7*x(o).\nAnswer: -2*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 22*y**2 + 47*y - 18. Let d be w(-24). Let f(i) = -15*i + 93. Let l be f(d). Solve -l*g - 17 = -11 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4*k + 9 = -1, -k = 4*a - 7. What is the third derivative of 60*s**6 - 383*s**2 + 749*s**2 - 377*s**a wrt s?\nAnswer: 7200*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 5, -5\/3, 3.3, -37, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 12 = 0, 841 - 837 = -2*d - 2*d - 2*x for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 - -36. What is the third derivative of -2*r**2 + 13*r**i - 5*r**3 + 0*r**2 - 6*r**3 wrt r?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + -0.489.\nAnswer: -22.489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1723.181 tonnes?\nAnswer: 1723181000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/308 and 101\/5796?\nAnswer: 63756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 l when two letters picked without replacement from {z: 3, y: 5, a: 1, l: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + 4. Let u(z) = z**3 - 11*z**2 - 10*z - 21. Let p be u(x). Let v(c) = -c**3 + 8*c**2 - 2*c. Calculate the remainder when v(p) is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 145 - 354. Let o = s + 193. Is -20 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**3 - 18*d**2 + 9*d + 15. Let p(n) = -n**3 - 9*n**2 + 5*n + 8. Let b(j) = -7*p(j) + 4*q(j). Calculate b(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3046141268 to the nearest integer?\nAnswer: 55192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1691.\nAnswer: 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 257 or 355\/3?\nAnswer: 257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.76 - -0.24. Which is the nearest to u? (a) 0 (b) -3\/5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*k - 8 = 0, 4*p - 16 = 3*k + 2*k. Suppose p*w + 2 = r, 6 = 3*r - 2*w + 7*w. Suppose 7*v**r + 2*v**3 - v - 9*v**3 - 3*v**3 = 0. What is v?\nAnswer: 0, 1\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55 or -1595\/271?\nAnswer: -1595\/271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 376286044 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-2)\/(-3)*3. Put -5, i, -1 in ascending order.\nAnswer: -5, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.24744us in minutes?\nAnswer: 0.000001504124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3852 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, f: 3, g: 1, c: 3}. What is prob of picking 2 a?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3715584 a multiple of 256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*y**3 - 15*y**3 - 2*y**2 + 2*y**3 + 8 - 7 - 4*y**2 - 2*y to c + s*y**2 + u*y + g*y**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 16 = 0, -2*s + 6*n - 3*n - 988 = 0. Let o = s + 1861. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-484)\/99)\/22)\/(595\/(-9639)).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(325)*2 + -5)**2.\nAnswer: -100*sqrt(13) + 1324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 divided by 33.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - (-2)\/2)\/4. Sort c, 2, -1 in decreasing order.\nAnswer: 2, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -33*v + 87. Suppose 0 = -8*u - 51 - 29. Calculate the remainder when q(u) is divided by 84.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1267 in 0.4, 1\/13, 3\/7, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from toeuueoeueg?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 53818\/(-5) - (-2)\/(-5). Let x be 4541*-4*(0 + 1). Let v = r - x. What is v rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a + 23*a - 764 = -4*i, 5*i + 800 = 2*a. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 + -35. Let k = -35 + 32. What is the nearest to c in -0.3, k, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*d + 5 = 3, -4*j + 3*d + 3 = 0. Is 64 a factor of j + (1 - (-5 - -5)) - -706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/4 and -1 + (-478)\/96 - -3?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4*q**2 + 3*q + 7. Let k = -7 - -13. Let s be (k\/4)\/(2\/(-4)). Is j(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilometer in meters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(847) + 1 + sqrt(847) + 3 + sqrt(847) + sqrt(847))*3*-3)**2*-2.\nAnswer: -2198016 - 57024*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1187 and 15.\nAnswer: 17805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 166.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -10 - (15 + 4 + (14 - 6))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/8 and (7\/21)\/(12\/(-15))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 24*x**2 + 10*x - 1. Let t(f) = 12*f**2. Calculate s(t(g)).\nAnswer: 3456*g**4 + 120*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -347*r = -352*r + 950. Let p = r + -157. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 252.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -0.93\nAnswer: 1.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5045 and 400.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -937\/1298 - -115\/59. Let b be 105327\/(-4653)*(1 + 4\/(-3)). Let j = b - 191\/88. Calculate the common denominator of j and i.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -20 - 2?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 422.\nAnswer: -1688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a = 4*s - 6, 2*a - 116 = 2*s - 122 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 23438 + 0?\nAnswer: 23438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18345384.\nAnswer: 2, 3, 61, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 6*k + 2. Let p(b) = b**2 - 5*b - 2. Let g = -41 - -45. Let i be p(g). What is l(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 244253190?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u + 110. Determine k(-55).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*v - 25*v - 17*v - 17*v + 85*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*p + 6, -3*c + 7 = -0*c - 4*p. Suppose -4*n = -4, h + 3 = -4*n + 10. Sort 2, h, c in descending order.\nAnswer: h, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**2 + 94*c**3 - 2*c**2 + 41*c**3 + 2*c.\nAnswer: 135*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of -a**8\/4032 + a**7\/504 - a**5\/10 - 8*a**2. Let h(z) be the third derivative of y(z). Suppose h(c) = 0. Calculate c.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a - 4*a**4 - 1 + 85*a**2 + 6*a**4 - 95*a**2 to m*a**2 + f + b*a**4 + j*a + t*a**3 and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 167\/7 - 24. Let f = -0.12 - -4.12. Let y = -2 - -2.1. Which is the biggest value? (a) f (b) j (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*b = 112*b - 196 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/4, 2\/7, -1, 46, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l + 1200 = -12*l. Let t(c) = -c. Let f be t(-2). Suppose -2*m + d - f*d = -123, 111 = 2*m - 3*d. Calculate the greatest common factor of l and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 3:10 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 + 2*j**3 + j**3)*((-j + 0*j - j)*(3 - 5 - 1) + (1 + 0 - 2)*(-3*j + 0*j + 4*j) + 0*j - j + 0*j).\nAnswer: 8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4 - 3 = -5*h, 5*h = y - 22. Suppose -5 = -4*u + y. What is the units digit of (-180)\/(-48)*16\/u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-2))\/y*y)**15 assuming y is positive.\nAnswer: y**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -177 + -48. Let c be (-140)\/u + (-2)\/9. What is the second biggest value in c, -3\/4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 - -44. Let a be ((-4)\/(-10))\/(s\/150). Suppose 2*o + a = 4*o. Solve -4*i - 9 = -r + o, -r - 3*i - 11 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 i when four letters picked without replacement from {e: 1, b: 14, i: 5}.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011431 (base 5) in base 2?\nAnswer: 100000001101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 73*h - 87. Let p(s) = 217*s - 266. Let z(n) = 7*j(n) - 2*p(n). Let f be z(1). Let -1\/2*v + 1\/4*v**2 + f + 1\/4*v**3 = 0. What is v?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4030811217 to the nearest integer?\nAnswer: 1591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -l**2\/2 + 24. Let n(x) = -77*x. Determine n(z(v)).\nAnswer: 77*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j - 26 + 31 - 9*j. Let q(u) = 13*u - 41. Let l(c) = -10*c + 27. Let w(k) = -8*l(k) - 5*q(k). Let x be ((-3)\/(-2))\/(1\/6). Give x*t(v) + 4*w(v).\nAnswer: -3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z**3 - z**3 + 5*z**4 + 0*z + 8*z**3 - 2*z - 8*z**3 + 4 in the form s + d*z**2 + k*z + n*z**3 + m*z**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2 + 404105*o - 22240900.\nAnswer: 5*(o - 55)*(o + 80876)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*g**3 - 8*g**3 - 47 + 25*g**2 + 94 + 149 - 3*g**3.\nAnswer: 2*g**3 + 25*g**2 + 196","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 + 137?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(19) + 0 - (sqrt(19) - sqrt(2736)*-1).\nAnswer: -12*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -4 + 9 + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111011111 + 1121101200?\nAnswer: 1010020012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3410*d*x**2 - 17467*d*x + 637*x**2 - 79016*x with respect to d.\nAnswer: -3410*x**2 - 17467*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1433.3 + 1433. Which is the biggest value? (a) 119 (b) x (c) 2\/11 (d) -1\/4 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4 - 4 + 6 - l. Let t be v(4). Calculate the least common multiple of t\/30 - (-153)\/15 and 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 941, 962, 997, 1046, 1109, 1186?\n\"Answer: 7*x**2 + 934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((11\/(-22))\/((-28)\/(-16)))\/(-1).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 13 = -22. Suppose -1106*q - 72 = -1118*q. Solve 0 = r*x - x - q for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 + 0.1. Suppose 0*g = 4*g + 3*i + 2, -18 = 4*g - 5*i. Let o be (-1)\/(g\/(-4) + -2). Which is smaller: o or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 0 + 0)*(-16*x + 11*x - 18*x - 2 + 2 + x - x + 0*x + 2*x + (0 + 0 - 1)*(-x + 2*x + x) - 3 - x + 3 + 4*x + 2 - 2).\nAnswer: -40*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42985 - 130241\/3. Let b = h - -9140\/21. What is the common denominator of 46\/11 and b?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -12. What is the third derivative of -5*b**2 - q*b**2 + 7*b**2 + 2*b**3 + 0*b**3 wrt b?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -322 + 663. Suppose -26741 = -3*m - x. Suppose d = 4*l - m, 2308 = l + d + 108. Round l to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 178 and 4717.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**1*k*k**(-2\/11)*k**6\/(k*k*k\/(k\/k**(-9)*k)) assuming k is positive.\nAnswer: k**(174\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -8*f**3 + 9*f**2 - 16*f - 2. Let h(x) = 7*x**3 - 8*x**2 + 15*x + 2. Let s(b) = -3*h(b) - 2*k(b). What is the second derivative of s(g) wrt g?\nAnswer: -30*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 890.5, -1\/2, 2, 0.4, -1\/5, 0.1 in ascending order.\nAnswer: -1\/2, -1\/5, 0.1, 0.4, 2, 890.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3895503 by 3.\nAnswer: 1298501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**2\/3 + 4756*k - 16964652 = 0.\nAnswer: 7134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -507, -6707, 2 in descending order.\nAnswer: 2, -507, -6707","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -237, 6, -73 in ascending order.\nAnswer: -237, -73, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 867.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 3*s - 1 = 3*q, 0 = -2*q - 2*s + 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 100 - 5. Let g = -164 - -159. Put n, 1, g in decreasing order.\nAnswer: n, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1105, -1139, -1175, -1213, -1253, -1295?\n\"Answer: -x**2 - 31*x - 1073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 51.1495 centuries?\nAnswer: 5114.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*d = 13*d, 2*g = -d + 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24272134?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -111900, -0.5, -2\/33, -153, -4\/7?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 58319855 to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 90*z - 1. Let w(s) = s. Give 2*t(c) - 18*w(c).\nAnswer: 162*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50454, -50455, -50456, -50457, -50458?\nAnswer: -50459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*l**3*o**2 - 36*l**3*o + l**2*o - 73*l*o**2 - 4*o**2 wrt l?\nAnswer: -54*o**2 - 216*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5106)\/12*294\/(-3381).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 0 (c) -45 (d) 6054 (e) -2\/7 (f) 0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4952745761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 2*o = -7*o + 18, -3*i = -3*o for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -929040 divided by 210.\nAnswer: -4424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000001696 rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/7 + 63068*i\/7 + 252240\/7.\nAnswer: 2*(i + 4)*(i + 31530)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -789*y**2\/8 - 2373*y\/8 - 9\/4.\nAnswer: -3*(y + 3)*(263*y + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 0 - (-19 + 26)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.487 - 0.013. Let v be (-3)\/((-6)\/(-4)) - -4. Let k be -1*(v\/1)\/(-2). Which is the nearest to k? (a) 2\/9 (b) w (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13197 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/66*(-6)\/(-5)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1783614337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 77 and 70.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 2*m. Let g be (3\/2)\/(3\/14). Suppose 4*s = -3*a + 8, -5*s - 3*a = -3 - g. Let b(d) = 6*d**3 + 11*d. Give s*b(t) - 11*y(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w. Let g be 24\/(-4)*(-1 + 2\/(-4)). Let n(h) = -h**3 - 13*h. Let a(y) = g*u(y) + 2*n(y). Calculate a(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 148 and 1501682?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.044 less than 4127.9377?\nAnswer: 4127.8937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.8 - 0.2. Let q = -14.82 - 0.18. Let z = q - -14.9. Put z, g, 3 in ascending order.\nAnswer: g, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(171) + 2)*3.\nAnswer: 3 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 18*f**2 - 6*f + 12. Let z be x(12). Let p = z - 456. Find the second derivative of -336*h + p*h - 3*h**4 + 13*h**4 wrt h.\nAnswer: 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-21) + 12\/7. Suppose y*v - 2 + 4 = 0. Suppose -4*c + 2*c + 2 = 0. Sort v, -2, c.\nAnswer: -2, v, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.62431286 - -0.465738. Let b = h - -23.90995504. Let m = b + -25. Round m to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.56 - 2.44. Which is the smallest value? (a) o (b) -1\/7 (c) 0.03 (d) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -154, -149, -132, -97, -38, 51?\n\"Answer: h**3 - 2*h - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 8 = -3*x, -2*x + m - 2 = -0*m. Let w = 2 - 1. Is x equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 + 1324*l**2 - 2642*l + 1320.\nAnswer: -2*(l - 660)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.4 and -2873305.\nAnswer: 4022627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -685*t + 8710. What is b(13)?\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.539 + -0.039. Sort -0.2, -0.53, x.\nAnswer: -0.53, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.02 (b) -2\/31 (c) -5 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/5)\/c**(-3))\/(c**(-2)\/(c*c\/c**6)) assuming c is positive.\nAnswer: c**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0696, 127, 4, 3, 138\/5 in decreasing order.\nAnswer: 127, 138\/5, 4, 3, -0.0696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1200)*4 - 4*(-1*sqrt(300))**2.\nAnswer: -1200 + 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 109 - 62. Let f = -19 - -3. Let d = c + f. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -10*k - 2. Let p be o(-2). Let y be (-24)\/(8\/(-2))*1. Suppose 0 = -4*n, -2*g + 5*n = -3*g + y. What is the highest common factor of p and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 2\/9, -0.5, 0.4, 1\/2131?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1383606 divided by -3318\nAnswer: -417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116, -287, -534, -863, -1280?\nAnswer: -1791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + c + 29. Let z be (1 + -3)\/((-1)\/2). Suppose 0 = 4*j + 5*a + 5, z*j + 2*a + 5 = 3. Let o be w(j). Solve 5*r + o = 4 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3527014, 7054103, 10581192?\nAnswer: 14108281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 1 = 5*v - 4*s, -v = 2*s + 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 7*o + 4. Let j be q(-3). Let p(t) = -5*t + 8. Let l be p(j). Does 9 divide (-1)\/(-4) - (-2052)\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q**2 - 7 - 4*q**2 - 9)*(0 + 2 - 1) + 253*q**2 - 11325 + 11325.\nAnswer: 254*q**2 - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 227987036 to the power of 1\/3, to the nearest integer?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 141882 and 4914.\nAnswer: 8938566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*r - 47*r = -180. Is ((-5)\/2)\/(6\/r) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**3 + m**2 + m - 2. Let u = -65 - -63. Determine w(u).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2118*p - 15348. Calculate g(7).\nAnswer: -522","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, g: 5, w: 1, s: 5, n: 2, l: 1}. What is prob of sequence kgk?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60988\/7 - -8713. Let b = 1\/56 - 43\/56. What is the biggest value in 0.1, f, b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5200 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4 + sqrt(5)*-2)**2*3.\nAnswer: -48*sqrt(5) + 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - m. Let n(r) = -239*r**2 + 334*r + 2. Let b(a) = -5*f(a) + n(a). Find the second derivative of b(d) wrt d.\nAnswer: -468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 9 + 9 = 0. Suppose a = -c + 5*d - 8 + 3, d = 3*c + 15. Let t be 91\/135 - 1 - 2\/c. Does t = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*h + 40 = -22*h. Let f = 39 - 14. Suppose 24*v + 132 = f*v. What is the lowest common multiple of h and v?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 6:08 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -94638321 or -94638324?\nAnswer: -94638321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -5*a - 21. Suppose 2*g = -4, 9*u = 5*u + 2*g - 16. Let s be k(u). Solve -4*q - 8 = s for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = -3*z + 18. Suppose 4 - z = -3*y. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, 3, 0, -483740?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -22\/97 (b) 165 (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 44\/6 + (-462)\/66. Which is the closest to 0.1? (a) -1\/2 (b) -2 (c) j (d) -461\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g + 14 = z, -63*z = -156*z + 73*z for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2 = -3. Let v be 11 - -6 - (1 - 1). Suppose 4*t - v = 6*t - 5*m, 2*m - 26 = -4*t. Which is greater: t or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -287 + 293. Solve 2*r = w + c - 1, 5*w + 11 = -4*r for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -11 - (-9 - -6 - -13)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**5\/19 + 9780*s**4\/19 + 11995104*s**3\/19 + 95482156*s**2\/19 + 178754430*s\/19 = 0.\nAnswer: -2441, -5, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 222 = 2*v, 2*o + 3*v + 272 = 7*o. Suppose -4*a = -o - 53. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 203*j**2 + 261*j**2 + 14*j**2 - 3 - 57*j**2 in the form f + s*j**2 + c*j and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -230*j + 2 + 14355*j**4 - 13979*j**4 + 1 wrt j.\nAnswer: 4512*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 5*r - 7*n - 230, 3*r + 2*n = 118. Let b(u) = -41*u + 1. What is the remainder when b(-2) is divided by r?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2998.\nAnswer: 2, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 210153 - 23274?\nAnswer: 164657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/4 - (279\/(-36) + 6). Solve 5*j = 2*k + 16 + 12, 2*j = -a*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 1:41 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -310 + 571. What is w rounded to the nearest ten?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 6 - 7*o - 10)*(-3 - 1 + 3) + 0*o + 0*o - 2*o to the form q + l*o and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43a3 (base 13) to base 10.\nAnswer: -9428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1478387, 6, 0, -1 in ascending order.\nAnswer: -1478387, -1, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o\/o**7)\/(o*o\/(o**(2\/3)\/o)))**(1\/27) assuming o is positive.\nAnswer: o**(-19\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 263427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34.1723 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p**2 - 25*p - 51. Let x be t(-5). Which is smaller: -1\/9483 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of 5*q**4\/3 + 1945*q**3\/2 - 730*q**2 - 58*q - 3. Factor r(t).\nAnswer: 5*(t + 292)*(4*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)*-2)\/sqrt(12) - (5 + 0 + sqrt(13)))**2 - (-2*-3*sqrt(65))\/sqrt(5).\nAnswer: 24*sqrt(13) + 142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 86 + -90. Let h(w) = -w**3 - 5*w**2 - w + 6. Let d(x) = -x**3 - 5*x**2 + 7. Let f(v) = -3*d(v) + 4*h(v). Calculate f(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a*g*o*q**2 - 12*a*o**3*q**2 + a*o**3*q + 5*a*o**2 + 6*a*o*q**2 - 450*g*o**3 + 4*g*o**2*q**2 - 5*o**2*q**2 + o**2 wrt o?\nAnswer: -72*a*q**2 + 6*a*q - 2700*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p*p*p**13)))**(-7\/2) assuming p is positive.\nAnswer: p**(-105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 94021853?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.271 times -3.37?\nAnswer: -64.94327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h + 3. Suppose 0 = p + 1, 0 = 4*v + 24*p - 22*p - 6. Give m(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 3 - 1 - 9*i.\nAnswer: -9*i - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.01757 + 130.48243. Round j to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -15. Suppose 3 = k - p. What are the prime factors of k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13 + -14?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + z = -10. Let p be (-5)\/(-2)*8\/z. Suppose -4 = -4*h - 4*m, -p*h + 4*m + 7 + 13 = 0. Which is the biggest value? (a) 0.4 (b) h (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 7 (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13831855 is divided by 4838?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 3*w + 17. Calculate x(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 424644462*y**3 + 325835686?\nAnswer: 1273933386*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 22. Suppose -2064*m + 1902 = -2058*m. Let p = -191 + m. What is the greatest common factor of p and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8674 is divided by 241?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3767709 by 29667.\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -209116.\nAnswer: 1\/52279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -52, 9, -0.9, -18?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 268160129?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1064474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 3\/38?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18532*b**3 - 8332*b.\nAnswer: 111192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 17.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 - (-8904 - 4 - 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 x when two letters picked without replacement from vvvvvvvxvvvvvvvvxvv?\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + ((-168)\/8 - -16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-309)\/(-412)*(-32)\/36*-3. Solve -s = -4*x - 4*n + 10, x - 5*n - 9 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1872.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -85, -0.25, 3, 9, -2\/7, 0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 36*r + 5. What is the tens digit of q(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 903461 is divided by 609?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeelel. Give prob of sequence eee.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) 0.5 (c) 91 (d) 176 (e) 0.4 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 21. Let b be s(-12). Let h = 4 + -15. Let v = b + h. Sort -3\/8, 5, v in descending order.\nAnswer: 5, -3\/8, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(1 + 2\/2). Let d be -2 - 4*3\/w. Suppose l + 2*r = 11, -5*r - 2 = l - 28. Solve -3 - l = d*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - 8*u + 4. Let p be (-2)\/(-7) - ((-1640)\/(-35))\/(-4). Suppose -2*b + p = 3*c, -5*c + 2 = -4*b + 4. Suppose 0 = 3*h + c + 19. Give r(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*l + 3, 2*z - 3*l = 39. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/2*(1 + -3). Let u(n) = -4*n. Let i(o) = 2*o**2 + 4*o - 5. Calculate the remainder when u(d) is divided by i(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -514*u + 512*u - 9*q - 35 = 0, 3*u + 20 = 4*u - 3*q - 0*q for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2 - 42*w - 312. Let c be j(27). Solve 5*t + 2*o - 4 - 2 = 0, t = 4*o - c for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 3*u**2 + 11*u + 10. What is b(9)?\nAnswer: 595","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77296.\nAnswer: 2, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -2*t - 256. Suppose 4*s = -34*s + 3078. Let q = s - t. Calculate the remainder when q is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 10625*f + 285. Does 13 divide n(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 100*u - 6. Let f be z(3). Let h = 207 - f. Let x = h + 259\/3. Is -9 >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25233 - 5?\nAnswer: -25242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 18975*x - 56894. What is z(3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -428*w + 487*w = 62 + 2475 for w.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b. Let l = 24 + -22. Let w(p) = 9*p**l - 11*p**2 + p**2. Determine w(s(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 11*u**2 + 8*u + 10. Let c(m) = m**2 - 4*m - 15. Let q be c(-3). Suppose -9*p = -q*p - 30. Determine w(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*q**4 + 12*q**3 - 450*q**2?\nAnswer: -552*q + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -90097, 3, -5 in ascending order.\nAnswer: -90097, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ipppipppipppiipipp. Give prob of sequence pip.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/97)*p\/(p\/(p*p*p**(-21)*p)))\/(p*p**(-2\/17))**43)**(-40) assuming p is positive.\nAnswer: p**(3691240\/1649)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 28 - 116 = 0. Let c be (10\/4)\/(580\/50112). What is the highest common factor of c and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 a, 1 r, and 1 p when four letters picked without replacement from {r: 1, a: 1, h: 5, p: 10}?\nAnswer: 5\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 + 9808*d**2 - 12024608*d.\nAnswer: -2*d*(d - 2452)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (-1 + 0)*1. Suppose -4*x - 3*f + 43 = 0, -x + a*f + 4*f + 25 = 0. Let w(g) = -25*g**3. What is the remainder when w(-1) is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p + 1. Let l(f) = f + 1. Let a(w) = -7*w - 2. Let m(t) = a(t) + 6*l(t). Let r(z) = m(z) - 2*n(z). Calculate r(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*((z\/(z\/(z*z*z\/z**0)))\/z)\/z))**29\/(z**(-1\/2)*z)**28*z\/z**(-1\/2)*z\/(z\/z**(3\/7))*z**5\/(z*z**(-3\/5)*z) assuming z is positive.\nAnswer: z**(-2623\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of 98 + 1\/2*b**2 + 8*b - 38*b**3. Find the second derivative of v(x) wrt x.\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 932 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1810596480 to the nearest integer?\nAnswer: 42551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1840.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5021*q - 5016*q - 2*n = 43, -5*q + 5*n = -115 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - b + 58 = 15, 4*b - 20 = -t. Suppose 3*l - 4*u + 16199984 = 0, 0 - t = 2*u. What is l rounded to the nearest one hundred thousand?\nAnswer: -5400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/8 - (-50)\/8. Let b(r) = -3 + 6*r + 0 - 27*r**3 - 5 + 28*r**3 - 7*r**2. Determine b(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 163, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -11*g - 3. Let y(h) = 2*h - 2*h - 1 + 2 + 5*h. Suppose 10*v + 264 = -56*v. Calculate v*m(d) - 9*y(d).\nAnswer: -d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (151 + 0)\/(1 + 0) is divided by 17 + -5*(-8)\/20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 m when four letters picked without replacement from mmuuuuummmmmmmutmmuu.\nAnswer: 88\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3\/3 - 76*h**2\/3 - 24*h.\nAnswer: -4*h*(h + 1)*(h + 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2566636km in nanometers?\nAnswer: 256663600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -8*l**3 - 213*l**2 - 75*l + 554. Let k be n(-26). Let i(b) = -3*b**3 - 5*b**2 - 7*b - 7. Let j be i(6). Is k >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r = -2*r + 78. Let b(k) = 9*k - 15. What is the remainder when 149 is divided by b(r)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + -1)\/((-2)\/(-4)). Let c = -3 + 6. Let f(l) = l**3 + 46*l**2 + 92*l + 177. Let z be f(-44). Put d, c, z in ascending order.\nAnswer: d, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 174, 557, 1672, 3885, 7562, 13069?\n\"Answer: 61*v**3 - 44*v + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -67.8 * -6\nAnswer: 406.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/3 - 7414*m**2\/3 + 14608384*m\/3 - 1053294592.\nAnswer: (m - 3584)**2*(m - 246)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**4 + h - 4*h**4 + h wrt h?\nAnswer: -72*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 147 + -110. Suppose q*k = 29*k + 1112. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t + 1. Let u be a(-1). Suppose -2*q - 5*l + 89 = -0*l, -2*q + 5*l + 79 = 0. Suppose 3*g + 5*d + 37 = u, 3*d + q = -4*g - 0*d. Does -2\/5 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19861?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -427 or -0.8?\nAnswer: -427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2686126 is divided by 1569?\nAnswer: 1567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -1, 1588, 1 in increasing order.\nAnswer: -1, 1\/3, 1, 1588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-93)\/(-19) - 18\/(-171)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2428189395 - -3.\nAnswer: 2428189398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -353 + 356. Let w(x) = x + 8. Let b be w(-10). Let s be b - (n\/(-3) + -16). What is the highest common divisor of s and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -147, -545, -1183, -2055, -3155, -4477?\n\"Answer: b**3 - 126*b**2 - 27*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**3 + 48*p**2 - 45*p - 18. Let i be k(23). Let z = 3 + 0. Suppose 0 = -4*r + 2*r + i*q + 9, 0 = -r + q + z. Is r smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 5*n**2 + 92*n - 5782. Let x(y) = 6*y**2 + 115*y - 5781. Determine 5*o(u) - 4*x(u).\nAnswer: u**2 - 5786","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-18)*-2*3. Let y = -2 + s. Let u(f) = -3*f**3 + f**2 + f + 1. Determine u(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 12 - (-8 - (-51 - -8))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24906, -49808, -74714, -99624, -124538, -149456?\nAnswer: -174378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 28441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 69.43856 from -303.\nAnswer: -372.43856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 5*q. Suppose r - 27*r = -312. Let f(a) be the first derivative of r - 1\/2*a**2 + 0*a. Determine f(y(j)).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of q**4\/24 - 3*q**2 + 15. Let p(z) = 3*z - 2. Let b be 3*1*12\/9. Suppose b*h - 7*h = 15. What is h*t(g) + p(g)?\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + 1 + -2)**2 + 3.\nAnswer: -24*sqrt(19) + 2740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + (-5605)\/330 - 4) + 16\/4 + 10.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.825 at least as big as -366\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a1239 (base 11) to base 3.\nAnswer: 120200222021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**3 - 23*i**2 + 12*i + 16. Calculate the lowest common multiple of o(11) and 3.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2408 - 7?\nAnswer: -2412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**3 + 2*p**3 - 3*p**3)*(-65 + 104 - 63)*(2*p**2 + p**2 - 2*p**2).\nAnswer: 24*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q\/q**(-2\/21))\/q)*q)\/q*(q\/(q**8*q))\/q)\/(q**(-2\/13)\/((q**(-2\/9)\/q)\/q)) assuming q is positive.\nAnswer: q**(-8324\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*m = 5*h - 55, -3*h - 6650*m + 6643*m = 15 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6d2c + -2?\nAnswer: -6d2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175697706.\nAnswer: 2, 3, 29282951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) + 5*sqrt(190))*4 + sqrt(190)*-5*2)\/(-6*sqrt(40) - sqrt(10) - sqrt(360)\/sqrt(9)).\nAnswer: -14*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -333 + 351 - (0 - (-2 - 22)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -4 - 2 - 6 - (-19 + (2 - -20)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45 and 105.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 306416 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 12 (b) -0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 119\/6, -0.4 in ascending order.\nAnswer: -0.4, 0, 119\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-4 + sqrt(2736) + 1 + sqrt(2736))**2 + sqrt(2736)*-2 + sqrt(2736) + -3 - ((2 + -3*sqrt(2736))**2 - ((sqrt(2736)*-2 + sqrt(2736))*-1)**2)).\nAnswer: -10947 - 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -1, 5, 2\/119 in decreasing order.\nAnswer: 5, 0.1, 2\/119, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**2 - 4*y**2 - 84 + 35*y**2 + 201*y**2 + 84.\nAnswer: 234*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(548\/(-542) + 1). Let j = -93 + n. Let h be (-8)\/(-9)*(12\/(-120))\/(2\/(-15)). Which is bigger: j or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -30*n + 10. Let g be q(-7). Suppose 33*r = 36*r - 48. Suppose -18*z + g = -r*z. What are the prime factors of z?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11.8 - 31.3. Let w = 19.6 + s. What is the fourth biggest value in 1\/2, -16\/5, -2, w?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -55*k**7\/21 - 24*k**5\/5 - 1019*k**2. Find the third derivative of r(p) wrt p.\nAnswer: -13200*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -319, -308, -299, -292, -287, -284, -283?\n\"Answer: -g**2 + 14*g - 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 + -28. What is the second derivative of 0 + 0 + s*t**5 - 3*t**5 + t wrt t?\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65414552 (base 7) to base 11.\nAnswer: -3185a54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 160 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13869?\nAnswer: 3, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*s - 35*s + 32*s)*(-s + 2*s + 4*s + (-2 + 2*s + 2)*(-1 + 1 - 2)).\nAnswer: 29*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34111 is divided by 3101.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h + 0*h**3 - 3*h + 8*h**3 - 6*h**3 + 5 to i + j*h**3 + x*h + k*h**2 and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 156*p**2 + 427*p - 14. Let f(c) = c. What is b(f(g))?\nAnswer: 156*g**2 + 427*g - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**3 + o - 1. Let s be d(1). Suppose -s*a = -0*a - 4. Solve a*l + l = -9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - 26. Let u = m - -104. Does 12 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 982167 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qw when two letters picked without replacement from {p: 2, q: 2, r: 2, n: 3, w: 2, t: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1019 + 1022. Solve 0 = 2*o - 8, -v*o + 14 = -b - 0*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 3*c**2 - 2. Let o be h(2). Suppose 4*j - z = 81, 0 = j + o*j - z - 61. Calculate the smallest common multiple of j and 3*3*(0 + 2).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43444 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 9*d**2 + 9. Is i(6) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 8:45 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - 0.1313.\nAnswer: 0.3687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 814500 and 625355?\nAnswer: 905","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -49 + 26 + 28?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15 + 13)*(-1 + 1*3). What are the prime factors of w - (-36)\/8 - (-782)\/4?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0\/7)\/(2\/(-2)). Factor 0*b**2 + 0*b**4 - 4\/11*b**3 + 2\/11*b + d + 2\/11*b**5.\nAnswer: 2*b*(b - 1)**2*(b + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -309, 2, 1 in descending order.\nAnswer: 2, 1, -309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i + 5. Let p = -6 - 0. Let h be f(p). Let n = 4 + h. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}